From Wikipedia, the free encyclopedia
{{ ListNav }}
1
{\displaystyle {1}}
This is a list of googolisms in ascending order.
More...
Class 1 (7 - 1,000,000)[ edit ]
More...
Class 2 (1,000,000 - \(10^{1,000,000}\))[ edit ]
Name
Value
Approximation (Fast-growing hierarchy )
Million
1,000,000
f2 (16)
Crore
10,000,000
f2 (19)
Myllion
100,000,000
f2 (22)
Billion (S)[ 1] / Milliard
1,000,000,000
f2 (25)
Dialogue
1010
f2 (29)
Trillion (S) / Billion (L)
1012
f2 (35)
Quadrillion (S) / Billiard
1015
f2 (45)
Byllion
1016
f2 (48)
Quintillion (S) / Trillion (L)
1018
f2 (54)
Guppy
1020
f2 (61)
Sextillion (S) / Trilliard
1021
f2 (64)
Avogadro's number
6.02214076*1023
f2 (73)
Septillion (S) / Quadrillion (L)
1024
f2 (74)
Octillion (S) / Quadrilliard
1027
f2 (83)
Nonillion (S) / Quintillion (L)
1030
f2 (93)
Belphegor's prime
~1.00000000000007*1030
f2 (93)
Tryllion
1032
f2 (100)
Decillion (S) / Quintilliard
1033
f2 (103)
Undecillion (S) / Sextillion (L)
1036
f2 (113)
Duodecillion (S) / Sextilliard
1039
f2 (123)
Tredecillion (S) / Septillion (L)
1042
f2 (133)
Quattuordecillion (S) / Septilliard
1045
f2 (143)
Quindecillion (S) / Octillion (L)
1048
f2 (151)
Lcillion / Gogol
1050
f2 (159)
Sexdecillion (S) / Octilliard
1051
f2 (162)
Septendecillion (S) / Nonillion (L)
1054
f2 (171)
Octodecillion (S) / Nonilliard
1057
f2 (182)
Novemdecillion (S) / Decillion (L)
1060
f2 (192)
Vigintillion (S) / Decilliard
1063
f2 (202)
Muryoutaisuu
1068
f2 (219)
Eddington number
136*2256 ~ 1.5747724136275*1079
f2 (256)
Ogol
1080
f2 (258)
Trigintillion (S)
1093
f2 (301)
Googol
10100
f2 (323)
Shannon number
10120
f2 (390)
Quadragintillion (S)
10123
f2 (400)
Googolex
12060 ~ 5.6347514353165*10124
f2 (405)
Quinquagintillion (S)
10153
f2 (499)
Trigintillion (L)
10180
f2 (589)
Sexagintillion (S)
10183
f2 (599)
Number of Planck volumes in the observable universe
~4.6*10185
f2 (607)
Gargoogol
10200
f2 (656)
Septuagintillion (S)
10213
f2 (698)
Hundertime
4.71193079990*10219
f2 (721)
Googoc
200100 ~ 1.2676506002282*10230
f2 (754)
Quadragintillion (L)
10240
f2 (787)
Octogintillion (S)
10243
f2 (797)
Nonagintillion (S)
10273
f2 (897)
Quinquagintillion (L)
10300
f2 (996)
Centillion (S)
10303
f2 (997)
Sexagintillion (L)
10360
f2 (1,185)
Primo-vigesimo-centillion (S)
10366
f2 (1,205)
Faxul
200! ~ 7.88657867364*10374
f2 (1,235)
Septuagintillion (L)
10420
f2 (1,384)
Octogintillion (L)
10480
f2 (1,584)
Googocci
402201 ~ 2.814729533583*10523
f2 (1,728)
Nonagintillion (L)
10540
f2 (1,783)
Centillion (L)
10600
f2 (1,982)
Ducentillion (S)
10603
f2 (1,992)
Primo-vigesimo-centillion (L)
10726
f2 (2,400)
Trecentillion (S)
10903
f2 (2,988)
Googolchime
101,000
f2 (3,310)
Quadringentillion (S)
101,203
f2 (3,984)
Quingentillion (S)
101,503
f2 (4,981)
Sescentillion (S)
101,803
f2 (5,977)
Septingentillion (S)
102,103
f2 (6,973)
Octingentillion (S)
102,403
f2 (7,970)
Nongentillion (S)
102,703
f2 (8,966)
Millillion (S)
103,003
f2 (9,962)
Decyllion
104,096
f2 (13,592)
Millillion (L)
106,000
f2 (19,917)
Googoltoll
1010,000
f2 (33,204)
Myrillion /Decimillillion(S)
1030,003
f2 (99,650)
Hitchhiker's number
2267,709 ~ 2.748585232104986*1080,588
f2 (f2 (14))
Googolgong
10100,000
f2 (f2 (15))
Centimillillion (S)
10300,003
f2 (f2 (16))
More...
Class 3 (\(10^{1,000,000} - 10^{10^{1,000,000}}\))[ edit ]
Name
Value
Approximation (fast-growing hierarchy )
Maximusmillion
101,000,000
f2 (f2 (17))
Milli-millillion (S)
103,000,003
f2 (f2 (19))
Vigintyllion
104,194,304
f2 (f2 (19))
Milli-millillion (L)
106,000,000
f2 (f2 (20))
Largest known prime
282,589,933 -1 ~ 1.488944*1024,862,047
f2 (f2 (22))
Nanillion
103,000,000,003
f2 (f2 (28))
Trialogue
101010
f2 (f2 (30))
Ballium's number
~ 2.03542*10138,732,019,349
f2 (f2 (33))
Picillion
103*1012 +3
f2 (f2 (37))
Nirabhilapya nirabhilapya parivarta
\(10^{7 \times 2^{122}}\)
f2 (f2 (37))
Femtillion
103*1015 +3
f2 (f2 (48))
Attillion
103*1018 +3
f2 (f2 (57))
Guppyplex
101020
f2 (f2 (63))
Zeptillion
103*1021 +3
f2 (f2 (67))
Yoctillion
103*1024 +3
f2 (f2 (76))
Xonillion
103*1027 +3
f2 (f2 (86))
Vecillion
103*1030 +3
f2 (f2 (96))
Mecillion
103*1033 +3
f2 (f2 (106))
Duecillion
103*1036 +3
f2 (f2 (116))
Trecillion
103*1039 +3
f2 (f2 (125))
Tetrecillion
103*1042 +3
f2 (f2 (135))
Icosillion
103*1060 +3
f2 (f2 (195))
Doppelgängion
101068
f2 (f2 (220))
Triacontillion
103*1090 +3
f2 (f2 (294))
Googolplex
1010100
f2 (f2 (325))
Gargoogolplex
googolplex2 = 102*10100
f2 (f2 (326))
Googolbang
(10100 )! ~ 109.957*10101
f2 (f2 (332))
Tetracontillion
103*10120 +3
f2 (f2 (393))
Pentacontillion
103*10150 +3
f2 (f2 (492))
Hexacontillion
103*10180 +3
f2 (f2 (592))
Heptacontillion
103*10210 +3
f2 (f2 (691))
Octacontillion
103*10240 +3
f2 (f2 (791))
Ennacontillion
103*10270 +3
f2 (f2 (890))
Hectillion
103*10300 +3
f2 (f2 (989))
Ecetonplex
1010303
f2 (f2 (998))
Kilofaxul
(200!)! ~ 1010379
f2 (f2 (1245))
Dohectillion
103*10600 +3
f2 (f2 (1985))
Triahectillion
103*10900 +3
f2 (f2 (2981))
Googolplexichime
10101,000
f2 (f2 (3311))
Tetrahectillion
103*101,200 +3
f2 (f2 (3977))
Killillion
103*103,000 +3
f2 (f2 (9955))
Vecekillillion
103*1030,000 +3
f2 (f2 (f2 (13)))
Googolplexigong
1010100,000
f2 (f2 (f2 (14)))
Hectekillillion
103*10300,000 +3
f2 (f2 (f2 (16)))
More...
Class 4 (\(10^{10^{1,000,000}}\) - \(10^{10^{10^{10^{1,000,000}}}}\))[ edit ]
Name
Value
Approximation (fast-growing hierarchy )
Millionduplex
10101,000,000
f2 3 (17)
Megillion
103*103,000,000 +3
f2 3 (21)
Gigillion
103*103,000,000,000 +3
f2 3 (32)
Tetralogue
10101010
f2 3 (35)
Terillion
103*103*1012 +3
f2 3 (37)
Petillion
103*103*1015 +3
f2 3 (47)
Exillion
103*103*1018 +3
f2 3 (57)
Zettillion
103*103*1021 +3
f2 3 (67)
Yottillion
103*103*1024 +3
f2 3 (76)
Xennillion
103*103*1027 +3
f2 3 (86)
Dakillion
103*103*1030 +3
f2 3 (96)
Hendillion
103*103*1033 +3
f2 3 (106)
First Skewes' number
eee79 ~ 10101034
f2 3 (108)
Dokillion
103*103*1036 +3
f2 3 (116)
Tradakillion
103*103*1039 +3
f2 3 (126)
Tedakillion
103*103*1042 +3
f2 3 (134)
Ikillion
103*103*1060 +3
f2 3 (195)
Trakillion
103*103*1090 +3
f2 3 (294)
Googolduplex
101010100
f2 3 (324)
Fzgoogolplex
(1010100 )1010100 = 101010100 +100
f2 3 (326)
Tekillion
103*103*10120 +3
f2 3 (393)
Hotillion
103*103*10300 +3
f2 3 (990)
Ecetonduplex
101010303
f2 3 (998)
Megafaxul
((200!)!)! ~ 101010379
f2 3 (1235)
Botillion
103*103*10600 +3
f2 3 (1986)
Trotillion
103*103*10900 +3
f2 3 (2982)
Second Skewes number
eeee7.705 ~ 101010963
f2 3 (3189)
Totillion
103*103*101,200 +3
f2 3 (3978)
Kalillion
103*103*103,000 +3
f2 3 (9956)
Dalillion
103*103*106,000 +3
f2 3 (19921)
Tralillion
103*103*109,000 +3
f2 3 (29886)
Talillion
103*103*1012,000 +3
f2 3 (39851)
Dakalillion
103*103*1030,000 +3
f2 3 (99645)
Googolduplexigong
101010100,000
f2 4 (14)
Hotalillion
103*103*10300,000 +3
f2 4 (16)
More...
Class 5 (\(10^{10^{10^{10^6}}}\) - \(10^{10^{10^{10^{10^6}}}}\))[ edit ]
More...
Tetration level (\(10^{10^{10^{10^{10^6}}}}\) - \(10 \uparrow\uparrow\uparrow 3\))[ edit ]
Name
Value
Hexalogue
10↑↑ 6
Googolquadruplex
E100# 5
Fzgargantugoogolplex
googoltriplexgoogoltriplex
Heptalogue
10↑↑7
Googolquinplex
E100#6
Octalogue
10↑↑8
Googolsextiplex
E100#7
Ennalogue
10↑↑9
Bentley's Number
\(\sum^{9}_{i = 0} 10 \uparrow\uparrow i\)
Googolseptiplex
E100#8
Decker
{10,10,2} = 10↑↑10
Googoloctiplex
E100#9
Endekalogue / Equinoxal
10↑↑11 = 10(≡) = 10(10) (10)
Googolnoniplex
E100#10
Dodekalogue
10↑↑12
Googoldeciplex
E100#11
Triadekalogue
10↑↑13
Tetradekalogue
10↑↑14
Giggol
{10,100,2} = 10↑↑100
Grangol
E100#100
Expofaxul
200!1
Mega
2[5] = 256[4] ~ 10↑↑258
Chilialogue
10↑↑1,000
Myrialogue
10↑↑10,000
Grangolgong
E100,000#100,000
Tritri
{3,3,3} = {3,7625597484987,2} = 3↑↑7,625,597,484,987
Googol-stack
10↑↑(10100 )
Googoldex
E100#(10100 ) = E100#1#2
Jaghanya Parīta Asaṃkhyāta
~ 10↑↑10136
Ecetondex
E303#1#2
Grand Faxul
~ 10↑↑10379
Zootzootplex
Exponential factorial of googolplex = googolplexgoogolplex-1googolplex-2...432 .
Googolplexstack
10↑↑(1010100 )
Googolplexidex
E100#(1010100 ) = E100#2#2
Grand Kilofaxul
~ 10↑↑1010379
More...
Up-arrow notation level (\(10 \uparrow\uparrow\uparrow 3\) - \(f_\omega(f_3(10))\))[ edit ]
Name
Value
Tria-taxis
E1#1#3 = 10↑↑↑3 = 10↑↑10↑↑10
Equiduoxal
10(≡≡) = 10(10(≡) ) (10(≡) )
Giggolplex
{10,giggol,2} = 10↑↑10↑↑100
Grangoldex
E100#100#2
Kiloexpofaxul
(200!1)!1
Grangoldexigong
E100,000#100,000#2
Googolgoogolduplex
10↑↑10↑↑(10100 )
Ecetondudex
E303#1#3
Bigrand Faxul
~ 10↑↑10↑↑(10379 )
Tetra-taxis
E1#1#4 = 10↑↑↑4
Giggolduplex
{10,giggolplex,2} = 10↑↑10↑↑10↑↑100
Grangoldudex
E100#100#3
Megaexpofaxul
((200!1)!1)!1
Grangoldudexigong
E100,000#100,000#3
Googolgoogoltriplex
10↑↑10↑↑10↑↑(10100 )
Grangoltridex
E100#100#4
{{ fancyK }} (fancy K )
10↑↑↑10
Megiston
10[5] ~ 10↑↑↑11
Gaggol
{10,100,3} = 10↑↑↑100
Greagol
E100#100#100
Tetrofaxul
200!2
Greagolgong
E100,000#100,000#100,000
Googol-3-flex
10↑↑↑(10100 )
Ecetonthrex
E303#1#1#2
Folkman's number
2↑↑↑(2901 )
Grand expofaxul
~ 10↑↑↑10↑↑198
A-ooga
2[6]
Grahal
g1 = 3↑↑↑↑3
Super K
10↑↑↑↑3
Gaggolplex
{10,gaggol,3}
Greagolthrex
E100#100#100#2
Kilotetrofaxul
(200!2)!2
Greagolthrexigong
E100,000#100,000#100,000#2
Ecetonduthrex
E303#1#1#3
Tritet
{4,4,4} = 4↑↑↑↑4
Greagolduthrex
E100#100#100#3
Greagolduthrexigong
E100,000#100,000#100,000#3
Equitrioxal
10(≡≡≡) = 10(10(≡≡) ) (10(≡≡) )
Hexar
\(Q_{1,0}(6)\) = 6↑↑↑↑6
Deka-petaxis
{10,10,4} = 10↑↑↑↑10
Geegol
{10,100,4} = 10↑↑↑↑100
Gigangol
E100#100#100#100
Pentofaxul
200!3
Geegolplex
{10,geegol,4}
Gigangoltetrex
E100#100#100#100#2
Gigangoldutetrex
E100#100#100#100#3
Tripent
{5,5,5} = 5↑↑↑↑↑5
Deka-exaxis
10↑↑↑↑↑10
Gigol
{10,100,5} = 10↑↑↑↑↑100
Gorgegol
E100#100#100#100#100
Hexofaxul
200!4
Gigolplex
{10,gigol,5}
Gorgegolpentex
E100#100#100#100#100#2
Goggol
{10,100,6}= 10↑↑↑↑↑↑100
Gulgol
E100#100#100#100#100#100
Goggolplex
{10,goggol,6}
Gulgolhex
E100#100#100#100#100#100#2
Trisept
{7,7,7} = 7↑7 7
Gagol
{10,100,7} = 10↑7 100
Gaspgol
E100#100#100#100#100#100#100
Gagolplex
{10,gagol,7}
Gaspgolheptex
E100#100#100#100#100#100#100#2
Ginorgol
E100#100#100#100#100#100#100#100
Ginorgoloctex
E100#100#100#100#100#100#100#100#2
Gargantuul
E100##9
Tridecal
{10,10,10}
Googondol
E100##10
Boogol
{10,10,100}
Gugold
E100##100
Hyperfaxul
200![1]
Gugoldagong
E100,000##100,000
Gongol
hyper (10,10100 ,100)
Googoldiflux
10↑10^100 10^100
Equiquinoxal
10(≡{≡}≡)
\(q(6)\) (lower bound)
More...
Linear omega level (\(f_\omega(f_3(10))\) - \(f_{\omega^2}(f_3(10))\))[ edit ]
Name
Value
Moser
2[2[5]] using Steinhaus-Moser notation, ~ 3 ↑Mega 3
Boogolplex
{10,10,{10,10,100}}
Gugolda-suplex
E100##100#2
Kilohyperfaxul
(200![1])![1]
Gongolplex
hyper(10,gongol,100)
Dihexar
\(Q_{1,1}(6) \approx 6\rightarrow 6\rightarrow 6\rightarrow 2\)
Little Graham
Graham's number
g64 , where g1 = 3 ↑4 3 and gn = 3 ↑gn-1 3, ~ {3,65,1,2}
xkcd number
A(G,G), where G is Graham's number, ~ {3,66,1,2}
Corporal
{10,100,1,2}
Graatagold
E100##100#100
Forcal
g1,000,000
Conway's Tetratri
3→3→3→3 ~ {33 ,3,2,2}
Corporalplex
{10,{10,100,1,2},1,2}
Graatagolda-sudex
E100##100#100#2
Force forcal
gforcal
Trihexar
\(Q_{1,2}(6)\)
Greegold
E100##100#100#100
Suporcal
Forcal(1,000,000)
Greegolda-suthrex
E100##100#100#100#2
Grinningold
E100##100#100#100#100
Megocal
Forcal2 (1,000,000)
Golaagold
E100##100##5
Gruelohgold
E100##100##6
Gaspgold
E100##100##7
Ginorgold
E100##100##8
Grand tridecal
{10,10,10,2}
Gugolthra
E100##100##100
Biggol
{10,10,100,2}
Giaxul
200![200] = 200![1,2]
Ultron
\(\approx f_{\omega+200} (100)\)
Terribocal
Forcal1,2 (1)
Biggolplex
{10,10,{10,10,100,2},2}
Graatagolthra
E100##100##100#100
Greegolthra
E100##100##100#100#100
Tetratri
{3,3,3,3}
Septasexahexar
\(Q_{3,0}(6)\)
Gugoltesla
E100##100##100##100
Baggol
{10,10,100,3}
Tribocal
Forcal1,3 (1)
Baggolplex
{10,10,{10,10,100,3},3}
Graatagoltesla
E100##100##100##100#100
Supertet
{4,4,4,4}
Gugolpeta
E100##100##100##100##100
Beegol
{10,10,100,4}
Beegolplex
{10,10,{10,10,100,4},4}
Gugolhexa
E100###6
Bigol
{10,10,100,5}
Gugolhepta
E100###7
Boggol
{10,10,100,6}
Gugolocta
E100###8
Bagol
{10,10,100,7}
Allgemein
{10,10,10,10}
Kaboodol
\(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{102} < \text{kaboodol} < \underbrace{10 \rightarrow\ldots\rightarrow 10}_{103}\)
Throogol
E100###100
Troogol
{10,10,10,100}
Giabixul
200![200,200]
More...
Quadratic omega level (\(f_{\omega^2}(f_3(10))\) - \(f_{\omega^3}(f_3(10))\))[ edit ]
Name
Value
Generalplex
{10,10,10,{10,10,10,10}} = {10,3,1,1,2}
Kaboodolplex
\(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{\text{kaboodol}+2} < \text{kaboodolplex} < \underbrace{10 \rightarrow\ldots\rightarrow 10}_{\text{kaboodol}+3}\)
Troogolplex
{10,10,10,{10,10,10,100}}
Thrangol
E100###100#100
BOX_M̃
Threagol
E100###100#100#100
Thrugold
E100###100##100
Thrugolthra
E100###100##100##100
Thrugoltesla
E100###100##100##100##100
Throotrigol
E100###100###100
Triggol
{10,10,10,100,2}
Triggolplex
{10,10,10,{10,10,10,100,2},2}
Thrantrigol
E100###100###100#100
Thrutrigold
E100###100###100##100
Pentatri
{3,3,3,3,3}
Throotergol
E100###100###100###100
Traggol
{10,10,10,100,3}
Throopetol
E100###100###100###100###100
Treegol
{10,10,10,100,4}
Superpent
{5,5,5,5,5}
Throohexol
E100####6
Trigol
{10,10,10,100,5}
Throoheptgol
E100####7
Troggol
{10,10,10,100,6}
Throogogdol
E100####8
Tragol
{10,10,10,100,7}
Pentadecal
{10,10,10,10,10}
Tetroogol
E100####100
Quadroogol
{10,10,10,10,100}
More...
Polynomial omega level (\(f_{\omega^3}(f_3(10))\) - \(f_{\omega^\omega}(f_3(10))\))[ edit ]
Name
Value
Pentadecalplex
{10,10,10,10,{10,10,10,10,10}}
Quadroogolplex
{10,10,10,10,{10,10,10,10,100}}
Tetrangol
E100####100#100
Tetrugold
E100####100##100
Tetrithroogol
E100####100###100
Tetrootrigol
E100####100####100
Quadriggol
{10,10,10,10,100,2}
Hexatri
{3,3,3,3,3,3}
Tetrootergol
E100####100####100####100
Quadraggol
{10,10,10,10,100,3}
Tetroopetol
E100####100####100####100####100
Quadreegol
{10,10,10,10,100,4}
Tetroohexol
E100#####6
Quadrigol
{10,10,10,10,100,5}
Superhex
{6,6,6,6,6,6}
Tetrooheptgol
E100#####7
Quadroggol
{10,10,10,10,100,6}
Tetroogogdol
E100#####8
Quadragol
{10,10,10,10,100,7}
Hexadecal
{10,10,10,10,10,10}
Pentoogol
E100#####100
Quintoogol
{10,10,10,10,10,100}
Pentootrigol
E100#####100#####100
Quintiggol
{10,10,10,10,10,100,2}
Pentootergol
E100#####100#####100#####100
Quintaggol
{10,10,10,10,10,100,3}
Quinteegol
{10,10,10,10,10,100,4}
Quintigol
{10,10,10,10,10,100,5}
Supersept
{7,7,7,7,7,7,7}
Heptadecal
{10,10,10,10,10,10,10}
Hexoogol
E100######100
Sextoogol
{10,10,10,10,10,10,100}
Superoct
{8,8,8,8,8,8,8,8}
Octadecal
{10,10,10,10,10,10,10,10}
Heptoogol
E100#######100
Septoogol
{10,10,10,10,10,10,10,100}
Superenn
{9,9,9,9,9,9,9,9,9}
Ennadecal
{10,10,10,10,10,10,10,10,10}
Ogdoogol
E100########100
Octoogol
{10,10,10,10,10,10,10,10,100}
Iteral
{10,10,10,10,10,10,10,10,10,10} = {10,10 (1) 2} = {10,2,2 (1) 2}
Entoogol
E100#########100
Dektoogol
E100##########100
Ultatri
{3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3} = {3,27 (1) 2}
Goobol
{10,100(1)2}
Godgahlah
E100#100 100 = E100#^#100
Giatrixul
200![200,200,200]
Godgahlahgong
E100,000#100,000 100,000
More...
Exponentiated linear omega level (\(f_{\omega^\omega}(f_3(10))\) - \(f_{\omega^{\omega^2}}(f_3(10))\))[ edit ]
Name
Value
Dupertri
{3,{3,3,3}(1)2} = {3,3,2 (1) 2}
Duperdecal
{10,{10,10(1)2}(1)2}
Goobolplex
{10,{10,100(1)2}(1)2}
Grand godgahlah
E100#godgahlah 100 = E100#^#100#2
Grand godgahlahgong
E100,000#godgahlahgong 100,000
Grand grand godgahlah
E100#^#100#3
Gibbol
{10,100,2(1)2}
Grandgahlah
E100#^#100#100
Latri
{3,3,3(1)2}
Gabbol
{10,100,3(1)2}
Greagahlah
E100#^#100#100#100
Boobol
{10,10,100(1)2}
Gugoldgahlah
E100#^#100##100
Bibbol
{10,10,100,2(1)2}
Gugolthragahlah
E100#^#100##100##100
Troobol
{10,10,10,100(1)2}
Throogahlah
E100#^#100###100
Quadroobol
{10,10,10,10,100(1)2}
Tetroogahlah
E100#^#100####100
Gootrol
{10,100(1)3}
Gotrigahlah
E100#^#100#^#100
Bootrol
{10,10,100(1)3}
Gooquadrol
{10,100(1)4}
Gotergahlah
E100#^#100#^#100#^#100
Emperal
{10,10(1)10}
Gossol
{10,10(1)100}
Godgoldgahlah
E100#^#*#100
Emperalplex
{10,10(1){10,10(1)10}}
Gossolplex
{10,10(1){10,10(1)100}}
Gotrigoldgahlah
E100#^#*#100#^#*#100
Gissol
{10,10(1)100,2}
Gassol
{10,10(1)100,3}
Hyperal
{10,10(1)10,10}
Fish number 3
\(F_3^{63}(3)\)
Mossol
{10,10(1)10,100}
Godthroogahlah
E100#^#*##100
Mossolplex
{10,10(1)10,{10,10(1)10,100}}
Bossol
{10,10(1)10,10,100}
Godtetroogahlah
E100#^#*###100
Trossol
{10,10(1)10,10,10,100}
Godpentoogahlah
E100#^#*####100
Quadrossol
{10,10(1)10,10,10,10,100}
Quintossol
{10,10(1)10,10,10,10,10,100}
Diteral
{10,10 (1)(1) 2}
Dubol
{10,100 (1)(1) 2}
Deutero-godgahlah
E100#^#*#^#100
Diteralplex
{10,diteral (1)(1) 2}
Dutrol
{10,100 (1)(1) 3}
Duquadrol
{10,100 (1)(1) 4}
Admiral
{10,10 (1)(1) 10}
Dossol
{10,10 (1)(1) 100}
Deutero-godgoldgahlah
E100#^#*#^#*#100
Dossolplex
{10,10 (1)(1) dossol}
Dutritri
{3,3,3 (1) 3,3,3 (1) 3,3,3}
Dutridecal
{10,10,10 (1) 10,10,10 (1) 10,10,10}
Trito-godgahlah
E100#^#*#^#*#^#100
Teterto-godgahlah
E100#^#*#^#*#^#*#^#100
Pepto-godgahlah
E100#^##5
Exto-godgahlah
E100#^##6
Epto-godgahlah
E100#^##7
Ogdo-godgahlah
E100#^##8
Xappol
{10,10 (2) 2}
Goxxol
{10,100 (2) 2}
Gridgahlah
E100#^##100
More...
Exponentiated polynomial omega level (\(f_{\omega^{\omega^2}}(f_3(10))\) - \(f_{\omega^{\omega^\omega}}(f_3(10))\))[ edit ]
Name
Number
Xappolplex
{10,xappol (2) 2}
Grand gridgahlah
E100#^##100#2
Grand xappol
{10,10 (2) 3}
Gridtrigahlah
E100#^##100#^##100
Deutero-gridgahlah
E100#^##*#^##100
Dimentri
{3,3 (3) 2}
Trito-gridgahlah
E100#^##*#^##*#^##100
Teterto-gridgahlah
E100#^##*#^##*#^##*#^##100
Colossol
{10,10 (3) 2}
Kubikahlah
E100#^###100
Colossolplex
{10,colossol (3) 2}
Deutero-kubikahlah
E100#^###*#^###100
Trito-kubikahlah
E100#^###*#^###*#^###100
Terossol
{10,10 (4) 2}
Quarticahlah
E100#^####100
Terossolplex
{10,terossol (4) 2}
Deutero-quarticahlah
E100#^####*#^####100
Petossol
{10,10 (5) 2}
Quinticahlah
E100#^#####100
Petossolplex
{10,petossol (5) 2}
Ectossol
{10,10 (6) 2}
Sexticahlah
E100#^######100
Ectossolplex
{10,ectossol (6) 2}
Zettossol
{10,10 (7) 2}
Septicahlah
E100#^#######100
Zettossolplex
{10,zettossol (7) 2}
Yottossol
{10,10 (8) 2}
Octicahlah
E100#^########100
Yottossolplex
{10,yottossol (8) 2}
Nonicahlah
E100#^#^#9
Xennossol
{10,10 (9) 2}
Xennossolplex
{10,xennossol (9) 2}
Dimendecal
{10,10 (10) 2}
Decicahlah
E100#^#^#10
Gongulus
{10,10 (100) 2}
Godgathor
E100#^#^#100
More...
Double exponentiated polynomial omega level (\(f_{\omega^{\omega^\omega}}(f_3(10))\) - \(f_{\omega^{\omega^{\omega^\omega}}}(f_3(10))\))[ edit ]
Name
Value
Gongulusplex
{10,10 (gongulus) 2}
Grand godgathor
E100#^#^#100#2
Gongulusduplex
{10,10 (gongulusplex) 2}
Gotrigathor
E100#^#^#100#^#^#100
Deutero-godgathor
E100#^#^#*#^#^#100
Trito-godgathor
E100#^#^#*#^#^#*#^#^#100
Hecato-godgathor
E100#^(#^#*#)100
Godgridgathor
E100#^(#^#*##)100
Dulatri
{3,3 (0,2) 2}
Godkubikgathor
E100#^(#^#*###)100
Gingulus
{10,100 (0,2) 2}
Godgathordeus
E100#^(#^#*#^#)100
Trilatri
{3,3 (0,3) 2}
Gangulus
{10,100 (0,3) 2}
Godgathortruce
E100#^(#^#*#^#*#^#)100
Geengulus
{10,100 (0,4) 2}
Godgathorquad
E100#^(#^#*#^#*#^#*#^#)100
Gowngulus
{10,100 (0,5) 2}
Godgathorquid
E100#^#^##5
Gungulus
{10,100 (0,6) 2}
Godgathorsid
E100#^#^##6
Bongulus
{10,100 (0,0,1) 2}
Gralgathor
E100#^#^##100
Bingulus
{10,100 (0,0,2) 2}
Gralgathordeus
E100#^(#^##*#^##)100
Trimentri
{3,3 (0,0,0,1) 2} = {3,3 ((1)1) 2}
Bangulus
{10,100 (0,0,3) 2}
Gralgathortruce
E100#^(#^##*#^##*#^##)100
Beengulus
{10,100 (0,0,4) 2}
Trongulus
{10,100 (0,0,0,1) 2}
Thraelgathor
E100#^#^###100
Thraelgathordeus
E100#^(#^###*#^###)100
Quadrongulus
{10,100 (0,0,0,0,1) 2}
Terinngathor
E100#^#^####100
Pentaelgathor
E100#^#^#####100
Hexaelgathor
E100#^#^######100
Heptaelgathor
E100#^#^#######100
Octaelgathor
E100#^#^########100
Goplexulus
\(\lbrace10,100 (\underbrace{0,0,\ldots ,0,0,}_{100 \text{ zeroes}}1) 2\rbrace\) = {10,100 ((1)1) 2}
Godtothol
E100#^#^#^#100
More...
Triple exponentiated polynomial omega level (\(f_{\omega^{\omega^{\omega^\omega}}}(f_3(10))\) - \(f_{\omega^{\omega^{\omega^{\omega^\omega}}}}(f_3(10))\))[ edit ]
More...
Name
Value
Hyper-hyper-godgathordeus
E100#^#^#^(#^#*#^#)100
Graltertol
E100#^#^#^#^##100
Thraeltertol
E100#^#^#^#^###100
Gotriplexulus
\(\lbrace 10,100 ((\underbrace{0,0,\ldots ,0,0,}_{100 \text{ zeroes}}1)1) 2\rbrace\) = {10,100 (((1)1)1) 2}
Godtopol
E100#^#^#^#^#^#100
Graltopol
E100#^#^#^#^#^##100
Godhathor
E100#^#^#^#^#^#^#100
Godheptol
E100#^#^#^#^#^#^#^#100
Godoctol
E100#^#^#^#^#^#^#^#^#100
Godentol
E100#^#^#^#^#^#^#^#^#^#100
Goddekathol
E100#^#^#^#^#^#^#^#^#^#^#100
Tethrathoth
E100#^^#100
Goppatoth
10↑↑100 & 10
Nucleaxul
200![200 200]
Giaquaxul
200![200,200,200,200]
More...
Epsilon level (\(f_{\varphi(1,0)}^2(10)\) aka \(f_{\varepsilon_0}^2(10)\) - \(f_{\varphi(2,0)}^2(10)\) aka \(f_{\zeta_0}^2(10)\))[ edit ]
More...
Binary phi level (\(f_{\varphi(2,0)}^2(10)\) or \(f_{\zeta_0}^2(10)\) - \(f_{\varphi(1,0,0)}^2(10)\) or \(f_{\Gamma_0}^2(10)\))[ edit ]
More...
Bachmann's collapsing level (\(f_{\varphi(1,0,0)}^2(10)\) or \(f_{\Gamma_0}^2(10)\) - \(f_{\psi_0(\varepsilon_{\Omega+1})}^2(10) = f_{\psi_0(\Omega_2)}^2(10)\) with respect to the Buchholz's function )[ edit ]
Name
Value
Pentacthuldugon
E100(#^^^#)^^^#100
Pentacthuliterator
E100#^^^#>#100
Hugexul
200![200(1)200]
Superior Hugexul
200![200(1)200,200]
Dustaculated-pentacthulhum
E100#^^^#>#^^^#100
Pentacthulcross
E100#^^^##100
Bisuperior Hugexul
200![200(1)200,200,200]
Pentacthulcubor
E100#^^^###100
Pentacthulteron
E100#^^^####100
Pentacthultope
E100#^^^#^#100
Pentacthularxitri
E100#^^^#^^^#100
Hexacthulhum
E100#^^^^#100
Hugebixul
200![200(1)200(1)200]
Hexacthuliterator
E100#^^^^#>#100
Superior Hugebixul
200![200(1)200(1)200,200]
Hexacthulcross
E100#^^^^##100
Hexacthultope
E100#^^^^#^#100
Heptacthulhum
E100#^^^^^#100 = E100#{5}#100
Hugetrixul
200![200(1)200(1)200(1)200]
Ogdacthulhum
E100#^^^^^^#100 = E100#{6}#100
Hugequaxul
200![200(1)200(1)200(1)200(1)200]
Ennacthulhum
E100#{7}#100
Dekacthulhum
E100#{8}#100
Goliath
E100#{10}#100
Godsgodgulus
E100#{#}#100
Godsgodeugulus
E100(#{#}#){#}#100
Godsgodguliterator
E100#{#}#>#100
Godsgodgulcross
E100#{#}##100
Godsgodgultope
E100#{#}#^#100
Godsgodarxitri
E100#{#}#{#}#100
Godsgodeus
E100#{#+#}#100
The centurion
E100#{#^#}#100
Super centurion
E100#{#^^#}#100
Ohmygosh-ohmygosh-ohmygooosh
E100#{#{#}#}#100
Blasphemorgulus
E100{#,#,1,2}100
Hundrelasphemorgue
E100{#,#+1,1,2}100
Enormaxul
200![200(2)200]
Superior Enormaxul
200![200(2)200,200]
Bisuperior Enormaxul
200![200(2)200,200,200]
Enormabixul
200![200(2)200(2)200]
Enormatrixul
200![200(2)200(2)200(2)200]
Enormaquaxul
200![200(2)200(2)200(2)200(2)200]
Goobawamba
{10,100 (1) 2} & 10
Destruxul
200![200(200)200]
Great Destruxul
200![200(200)200(200)200]
Bigreat Destruxul
200![200(200)200(200)200(200)200]
Bird's number
\(f_{\vartheta(\Omega^{\omega})+2}(f_{\vartheta(\Omega^{\omega})+1}(f_{\vartheta(\Omega^{\omega})}(f_{\vartheta(\Omega^{\omega})}(7))))\)
TREE(3) (lower bound)
Destrubixul
200![200([200(200)200])200]
Destrutrixul
200![200([200([200(200)200])200])200]
Destruquaxul
200![200([200([200([200(200)200])200])200])200]
Golapulus
10100 &10&10
Ginglapulus
{10,100 (0,2) 2} & 10
Ganglapulus
{10,100 (0,3) 2} & 10
Geenglapulus
{10,100 (0,4) 2} & 10
Bolapulus
{10,100 (0,0,1) 2} & 10
Binglapulus
{10,100 (0,0,2) 2} & 10
Trolapulus
{10,100 (0,0,0,1) 2} & 10
Quadrolapulus
{10,100 (0,0,0,0,1) 2} & 10
Goplapulus
{10,100 ((1)1) 2} & 10
Giplapulus
{10,100 ((1)(1)1) 2} & 10
Boplapulus
{10,100 ((2)1) 2} & 10
Goduplapulus
{10,100 ((0,1)1) 2} & 10
Gotriplapulus
{10,100 (((1)1)1) 2} & 10
Extremexul
200![1(1)[2 200,200,200,200]]
More...
Higher computable level (\(f_{\psi_0(\varepsilon_{\Omega+1})}^2(10) = f_{\psi_0(\psi_2(0))}^2(10)\) with respect to Buchholz's function - ???)[ edit ]
Since the comparison (or even the well-definedness) of numbers of this level is unknown, the order of entries does not necessarily imply the order of the sizes. Also, several numbers are defined by an OCF, which is uncomputable, and are not known to be computable.
Name
Value
Extremebixul
200![1(1)[2 200,200,200,200,200]]
Extremetrixul
200![1(1)[2 200,200,200,200,200,200]]
Extremequaxul
200![1(1)[2 200,200,200,200,200,200,200]]
Gigantixul
200![1(1)[3 200,200,200]]
Gigantibixul
200![1(1)[3 200,200,200,200]]
Gigantitrixul
200!1(1)[3 200,200,200,200,200]]
Gigantiquaxul
200![1(1)[3 200,200,200,200,200,200]]
Nucleabixul
200![[200 200] 200]
SCG(13) (lower bound)
段階配列数
g100 (100)
Nucleatrixul
200![[[200 200] 200] 200]
Nucleaquaxul
200![[[[200 200] 200] 200] 200]
Kumakuma 3 variables ψ number
F10100 (10100 )
グラハム数ver ε.0.1.0
G64 (4)
Loader's number
D5 (99)
Bashicu matrix number with respect to Bashicu matrix system version 2.3
6 (N primitive)
Y sequence number
f2000 (1)
the least transcendental integer
More...
Uncomputable numbers [ edit ]
The term "uncomputable number" here refers to the numbers defined in terms of uncomputably fast-growing functions . This table contains large numbers which are known to be ill-defined. For more details on the ill-definedness, click the "More..." link below.
More...