A quaternary-googol (also called hexadecimal-gogol and binary-guppychime) is equal to 1650 = 4100 = 2200 ≒ 1.606938×1060.[1] The term was coined by Sbiis Saibian.
It is approximately 1.607 novemdecillion in short scale or 1.607 decillion in long scale. It is 61 digits long.
Username5243 calls this number Hexadecimal-Goohfol, and it's equal to 16[1]50 in Username5243's Array Notation.[2]
Aarex Tiaokhiao calls this number hexadecimal-hoofol.[3]
SuperJedi224 calls this number Quaterngol.[4] He also calls it cypleiv, using André Joyce's naming system.
Decimal expansion[]
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1.606\times10^{60}\) | \(1.607\times10^{60}\) |
| Arrow notation | \(2↑200\), \(4\uparrow100\), \(16↑50\) | |
| Steinhaus-Moser Notation | 38[3] | 39[3] |
| Copy notation | 1[61] | 2[61] |
| Taro's multivariable Ackermann function | A(3,197) | A(3,198) |
| Pound-Star Notation | #*(5,0,7,9)*11 | #*(2,7,0,3,5,7)*6 |
| BEAF | {2,200}, {4,100}, {16,50} | |
| Bashicu matrix system | (0)(0)(0)(0)[5792] | (0)(0)(0)(0)[5793] |
| Hyperfactorial array notation | 47! | 48! |
| Strong array notation | s(2,200), s(4,100), s(16,50) | |
| Fast-growing hierarchy | \(f_2(192)\) | \(f_2(193)\) |
| Hardy hierarchy | \(H_{\omega^2}(192)\) | \(H_{\omega^2}(193)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^3+\omega^{2}2+\omega}}(4)\), \(g_{\omega^{\omega 3+2}}(16)\) | |
Sources[]
- ↑ Saibian, Sbiis. Hyper-E Numbers. Retrieved 2016-07-18.
- ↑ Part 1 - My Large Numbers
- ↑ Part 1 (LAN) - Aarex Googology
- ↑ Bingol Series - Almost Infinite
See also[]
Dust mite group: dust mite-speck · dust mite-crumb · dust mite-chunk · (binary/ternary/octal)dust mite · dust mite-bunch · dust mite-crowd · dust mite-swarm
Cheese mite group: cheese mite-speck · cheese mite-crumb · cheese mite-chunk · (binary/ternary/octal)cheese mite · cheese mite-bunch · cheese mite-crowd · cheese mite-swarm
Clover mite group: clover mite-speck · clover mite-crumb · clover mite-chunk · (binary/ternary/octal)clover mite · clover mite-bunch · clover mite-crowd · clover mite-swarm
Pipsqueak group: (binary/ternary/octal)pipsqueak
Little squeaker group: (binary/ternary/octal)little squeaker
Small fry group: (binary/ternary/octal)small fry
Guppy group: (binary/ternary/octal)guppyspeck · (binary/ternary/octal)guppycrumb · (binary/ternary/octal)guppychunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)guppy(bit/byte)
Minnow group: (binary/ternary/octal)minnowspeck · (binary/ternary/octal)minnowcrumb · (binary/ternary/octal)minnowchunk · (ternary)minnow(bit/byte)
Goby group: (binary/ternary/octal)gobyspeck · (binary/ternary/octal)gobycrumb · (binary/ternary/octal)gobychunk · (ternary)goby(bit/byte)
Gogol group: (binary/ternary/octal)gogolspeck · (binary/ternary/octal)gogolcrumb · (binary/ternary/octal)gogolchunk · (ternary/quadternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)gogol(bit/byte)
Jumbo shrimp group: (binary/ternary/octal)jumbo shrimp
Lightweight group: (binary/ternary/octal)lightweight
Ogol group: (binary/ternary/octal)ogolspeck · (binary/ternary/octal)ogolcrumb · (binary/ternary/octal)ogolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)ogol(bit/byte)
Tiny twerpuloid group: (binary/ternary/octal)tiny twerpuloid
Googol group: (binary/ternary/octal)googolspeck · (binary/ternary/octal)googolcrumb · (binary/ternary/octal)googolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)googol*(bit/byte) · googolbunch · googolcrowd · googolswarm
Eceton group: ecetonspeck · ecetoncrumb · ecetonchunk · ecetonbunch · ecetoncrowd · ecetonswarm
*Not Saibian's
-chime group: (binary/octal)guppychime · (binary/octal)gogolchime · ogolchime · (binary/octal)googolchime · ecetonchime
-bell group: guppybell · gogolbell · ogolbell · googolbell · ecetonbell
-toll group: guppytoll · gogoltoll · ogoltoll · googoltoll · ecetontoll
-gong group: guppygong · gogolgong · ogolgong · googolgong · ecetongong
-bong group: guppybong · gogolbong · ogolbong · googolbong · ecetonbong
-throng group: guppythrong · gogolthrong · ogolthrong · googolthrong · ecetonthrong
-gandingan group: guppygandingan · gogolgandingan · ogolgandingan · googolgandingan · ecetongandingan
Higher googol-n-gongs: googolquintigong · googolsextigong · googolseptigong · googoloctigong · googolnonigong · googoldecigong · googol-undecigong · googol-duodecigong · googol-tredecigong · googol-quattuordecigong · googol-quindecigong · googol-sexdecigong · googol-septendecigong · googol-octodecigong · googol-novemdecigong · googolvigintigong · googoltrigintigong · googolquadragintigong · googolquinquagintigong · googolsexagintigong · googolseptuagintigong · googoloctogintigong · googolnonagintigong · googolcentigong · googolmilligong · googolmilli-milligong
-duplex group: milliduplexion · billiduplexion · trilliduplexion · guppyduplex · googolduplexibit · gogolduplex · googolduplexibyte · ecetonduplex · googolduplexichime · googolduplexitoll · googolduplexigong · googolduplexibong · googolduplexithrong
-triplex group: millitriplexion · billitriplexion · trillitriplexion · guppytriplex · googoltriplexibit · gogoltriplex · googoltriplexibyte · ecetontriplex · googoltriplexichime · googoltriplexitoll · googoltriplexigong · googoltriplexithrong
-quadriplex group: guppyquadriplex · googolquadriplexibit · gogolquadriplex · googolquadriplexibyte · ecetonquadriplex · googolquadriplexichime · googolquadriplexitoll · googolquadriplexigong
-quintiplex group: guppyquintiplex · googolquintiplexibit · gogolquintiplex · googolquintiplexibyte · ecetonquintiplex · googolquintiplexichime · googolquintiplexitoll · googolquintiplexigong
-sextiplex group: guppysextiplex · googolsextiplexibit · gogolsextiplex · googolsextiplexibyte · ecetonsextiplex · googolsextiplexichime · googolsextiplexitoll · googolsextiplexigong
-septiplex group: guppyseptiplex · googolseptiplexibit · gogolseptiplex · googolseptiplexibyte · ecetonseptiplex · googolseptiplexichime · googolseptiplexitoll · googolseptiplexigong
-octiplex group: guppyoctiplex · googoloctiplexibit · gogoloctiplex · googoloctiplexibyte · ecetonoctiplex · googoloctiplexichime · googoloctiplexitoll · googoloctiplexigong
-noniplex group: guppynoniplex · googolnoniplexibit · gogolnoniplex · googolnoniplexibyte · ecetonnoniplex · googolnoniplexichime · googolnoniplexitoll · googolnoniplexigong
-deciplex group: guppydeciplex · googoldeciplexibit · gogoldeciplex · googoldeciplexibyte · ecetondeciplex · googoldeciplexichime · googoldeciplexitoll · googoldeciplexigong · googoldeciplexibong · googoldeciplexithrong
-vigintiplex group: guppyvigintiplex · googolvigintiplexibit · gogolvigintiplex · googolvigintiplexibyte · eceton-vigintiplex · googolvigintiplexichime · googolvigintiplexitoll · googolvigintiplexigong
-trigintiplex group: guppytrigintiplex · googoltrigintiplexibit · gogoltrigintiplex · googoltrigintiplexibyte · eceton-trigintiplex · googoltrigintiplexichime · googoltrigintiplexitoll · googoltrigintiplexigong
-quadragintiplex group: guppyquadragintiplex · googolquadragintiplexibit · gogolquadragintiplex · googolquadragintiplexibyte · eceton-quadragintiplex · googolquadragintiplexichime · googolquadragintiplexitoll · googolquadragintiplexigong
-quinquagintiplex group: guppyquinquagintiplex · googolquinquagintiplexibit · gogolquinquagintiplex · googolquinquagintiplexibyte · eceton-quinquagintiplex · googolquinquagintiplexichime · googolquinquagintiplexitoll · googolquinquagintiplexigong
-sexagintiplex group: guppysexagintiplex · googolsexagintiplexibit · gogolsexagintiplex · googolsexagintiplexibyte · eceton-sexagintiplex · googolsexagintiplexichime · googolsexagintiplexitoll · googolsexagintiplexigong
-septuagintiplex group: guppyseptuagintiplex · googolseptuagintiplexibit · gogolseptuagintiplex · googolseptuagintiplexibyte · eceton-septuagintiplex · googolseptuagintiplexichime · googolseptuagintiplexitoll · googolseptuagintiplexigong
-octogintiplex group: guppyoctogintiplex · googoloctogintiplexibit · gogoloctogintiplex · googoloctogintiplexibyte · eceton-octogintiplex · googoloctogintiplexichime · googoloctogintiplexitoll · googoloctogintiplexigong
-nonagintiplex group: guppynonagintiplex · googolnonagintiplexibit · gogolnonagintiplex · googolnonagintiplexibyte · eceton-nonagintiplex · googolnonagintiplexichime · googolnonagintiplexitoll · googolnonagintiplexigong
-centiplex group: guppycentiplex · googolcentiplexibit · gogolcentiplex · googolcentiplexibyte · eceton-centiplex · googolcentiplexichime · googolcentiplexitoll · googolcentiplexigong · googolcentiplexibong · googolcentiplexithrong
-milliplex group: guppymilliplex · googolmilliplexibit · gogolmilliplex · googolmilliplexibyte · eceton-milliplex · googolmilliplexichime · googolmilliplexitoll · googolmilliplexigong · googolmilliplexibong · googolmilliplexithrong
-milli-milliplex group: guppymilli-milliplex · googolmilli-milliplexibit · gogolmilli-milliplex · googolmilli-milliplexibyte · eceton-millimilliplex · googolmillimilliplexichime · googolmillimilliplexitoll · googolmillimilliplexigong · googolmillimilliplexibong · googolmillimilliplexithrong
Note: The readers should be careful that numbers defined by Username5243's Array Notation are ill-defined as explained in Username5243's Array Notation#Issues. So, when an article refers to a number defined by the notation, it actually refers to an intended value, not an actual value itself (for example, a[c]b = \(a \uparrow^c b\) in arrow notation). In addition, even if the notation is ill-defined, a class category should be based on an intended value when listed, not an actual value itself, as it is not hard to fix all the issues from the original definition, hence it should not be removed.
Fibonacci Numbers
Level Two
#*
Astragol · Astrigol · Astergol · Astrapengol · Astrexigol · Bi-astragol · Tri-astragol · Ter-astragol · Pen-astragol
#**
H#*
Astragold · Astrangold · Astreagold · Astrabigold · Astratrigold · Astratergold · Astrantergold · Astreatergold · Astreantergold · Astrex · Astrantrex · Astreatrex · Goltrex · Goltrantrex · Goltreatrex · Goltreantrex · Astruex · Astriex · Asterex · Duastrex · Duastruex · Treastrex · Terastrex · Bi-astragold · Tri-astragold · Ter-astragold
#*{}
Astuul · Grantuul · Greatuul · Greantuul · Goltuul · Golgrantuul · Golgreatuul · Astbiuul · Astriuul · Astertuul · Astrapentuul · Rexuul · Rexantuul · Rexeatuul · Rexeantuul · Golrexuul · Astuulgold · Grantuulgold · Greatuulgold · Goltuulgold · Astbiuulgold · Astriuulgold · Astuulgoltrex · Bi-astuul · Tri-astuul · Ter-astuul · Galaxiol · Bi-galaxiol · Tri-galaxiol · Cosmol · Cosmo-galaxiol · Cosmo-bi-galaxiol · Bi-cosmol · Hyperiol · Hyper-galaxiol · Hyper-cosmol · Hyper-cosmo-galaxiol · Ultrol · Ultra-galaxiol · Ultra-cosmol · Ultra-hyperiol · Bi-ultrol · Ultra-hyper-cosmo-galaxi-cosmo-hyper-ultrol · Tri-ultrol · Exitrol · Epitrol · Octrol
H#*{}
Titanicol · Grantitanicol · Greatitanicol · Goltitanicol · Titanicoltrex · Titanicolgoltrex · Titanic Astuul · Titanic Galaxiol · Titanic Cosmol · Titanic Hyperiol · Titanic Ultrol · Titaniprimol · Titaniduol · Titanitrol · Titaniterol · Titanipetol · Behemicol · Leviathol · Empiriol · Grantiriol · Greatiriol · Empirioltrex · Empiriolgold · Empiri-titanicol · Empiri-titaniprimol · Empiri-titaniduol · Empiri-titanitrol · Empiri-behemicol · Empiri-leviathol · Teratol · Petatol · Exatol · Zettatol · Yottatol · Yotta-zetta-exa-peta-tera-empiri-titaniprimol · Novettol
xH#*{}
Cthonicol · Cthonigog · Astracthonicol · Astrancthonicol · Astreacthonicol · Golcthonicol · Cthonirex · Cthonigold · Cthonigoltrex · Cthonic Ultrol · Cthonic Titanicol · Cthonic Behemicol · Cthonic Leviathol · Cthonic Empiriol · Cthonic Empiri-titaniprimol · Bi-cthonicol · Bi-cthonigog · Tri-cthonicol
#*<<>>
Cthonoliath · Cthonolligog · Astracthonoliath · Astrancthonoliath · Golcthonoliath · Rexoliath · Gaxoliath · Cosmoliath · Hypoliath · Ultroliath · Titanoliath · Behemoliath · Leviatholiath · Empiroliath · Teroliath · Petoliath · Exoliath · Zettoliath · Yottoliath · Novoliath · Cthaeliath · Cthaelligog · Cthaelidor · Cthaelitror · Cthaeliteror · Bi-cthonoliath · Tri-cthonoliath · Cthonulor · Cthonulortrius · Cthonulorterterus · Cthaeliterator · Legioliath · Legiolirexus · Legiolaureus · Legiulor · Legiodeuteror · Legiulortrius · Legiulorterterus · Deuteroliath · Tritoliath · Tertoliath
H#*<<>>
Based on the Faxul
Other factorials
Googovipleccix family
Graham Sequence Numbers
-Illion numbers
Level One
Level Two
Hyper-exitillion · Hyper-icositillion · Milli-yoctillion · Micro-yoctillion · Nano-yoctillion · Pico-yoctillion · Femto-yoctillion · Atto-yoctillion · Zepto-yoctillion · Deutero-yoctillion · Trito-yoctillion · Tetero-yoctillion · Pepto-yoctillion · Hyper-bi-exitillion · Hyper-tre-exitillion · Hyper-ter-exitillion · Hyper-pen-exitillion · Hyper-pen-icositillion · Hyper-ex-exitillion · Hyper-epi-exitillion · Hyper-oct-exitillion · Hyper-en-exitillion · Hyper-dek-exitillion
Level Three
Level Four
Level Five
Level Six
X-Sequence Hyper-Exponential Notation
Hyperon · Tris-hyperon · Ter-hyperon · Pen-hyperon · Ex-hyperon · Epi-hyperon · Expandor · Expandohyperon · Tris-expandor · Multi-expandor · Grid-hyperon · Cube-hyperon · Tessa-hyperon · Peta-hyperon · Hyper-hyperon · Hyper-grid-hyperon · Hyper-cube-hyperon · Hyper-tessa-hyperon · Double-hyper-hyperon · Hyperathoth · Hyperathothi-Hyperon · Hyperathothi-tris-Hyperon · Hyperathothi-ter-Hyperon · Hyperathothi-pen-Hyperon · Hyperathothi-Expandor · Hyperathothi-Expandohyperon · Tris-hyperathoth · Teragygas · Teragridgor · Teracubor · Teratesseron · Teratope · Mega Teragygas · Mega Teragridgor · Mega Teracubor · Mega Teratesseron · Mega Teratope · Hyperaduthoth · Hyperatrithoth · Hyperaterthoth · Hyperathoth Terribulon · Hyperathoth Tris-terribulon · Hyperathoth Super-terribulon · Hyperathoth Double-super-terribulon · Hyperathoth Terribugrid · Hyperathoth Terribucube · Hyperathoth Terributeron · Hyperathoth Terributope · Hyperathoth Terributhoth · Hyperathoth Terribudeus · Hyperathoth Terributruce · Hyperathoth Terribuquad · Hyperathoth Terribuquid · Hyperatrix · Hyperatrixatope · Hyperatetrix · Hyperatetrixatope · Hyperapetaxis · Hyperadekaxis · Hyperazetathoth · Hyperazetathoth Terribulon