Gogolspeck

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Gogolspeck is equal to 10⁴⁰ = E40.^[1] The name was coined by Sbiis Saibian.

Aarex Tiaokhiao calls this number footol or 40-noogol.^[2]

Username5243 calls this number gooqrol, and it's equal to 10[1]40 in Username5243's Array Notation.^[3]

CompactStar gave the name decyriad for this number as part of the -yriad system, referring to it being myriad¹⁰.^[4] He also gave the name guppol and is equal to r(10²⁰) in Rampant Array Notation.^[5]

This number is also called Zheng (正 in Chinese) or Sei (せい in Japanese)^[6] in both Japanese counting system and Chinese counting system.

Paul Dirac suggested the large numbers hypothesis pointing out that the ratio of the age of the universe \(H^{-1}\) and the strong time scale \(\tau = \frac{e^2}{m_e c^2} \approx 10^{-23}\) s is a large number approximately of 10⁴⁰.^[7]

a kilogram is defined as \(\frac{(299792458)^2}{(6.626 070 15 \times 10^{-34}) (9192631770)} \frac{h \Delta v_{Cs}}{c^2} = 1.475521399735270916 \times 10^{40} \frac{h \Delta v_{Cs}}{c^2}\)^[8]^[9] This number is obtained from \(\frac{c^2}{h \Delta v_{Cs}}\)

DeepLineMadom calls the number gobycrowd and troosartol, and is equal to 10[3]40 in DeepLineMadom's Array Notation.^[10]^[11]

Approximations[]

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{40}\)
Arrow notation	\(10\uparrow40\)
Steinhaus-Moser Notation	27[3]	28[3]
Copy notation	9[40]	1[41]
Taro's multivariable Ackermann function	A(3,129)	A(3,130)
Pound-Star Notation	#(8,4,7)11	#(1,6,6,4)8
BEAF	{10,40}
Bashicu matrix system	(0)(0)(0)[100000]
Hyperfactorial array notation	34!	35!
Fast-growing hierarchy	\(f_2(125)\)	\(f_2(126)\)
Hardy hierarchy	\(H_{\omega^2}(125)\)	\(H_{\omega^2}(126)\)
Slow-growing hierarchy	\(g_{\omega^{\omega4}}(10)\)

Sources[]

↑ Saibian, Sbiis. Hyper-E Notation. Retrieved 2016-07-17.
↑ Part 1 (LAN) - Aarex Googology^{[dead link]}
↑ Part 1 - My Large Numbers
↑ -yriad numbers. Retrieved Apr 21, 2023
↑ Nirvana Supermind. Rampant Array Notation Numbers (Part 1: Basic/Linear) - Integral View. Retrieved 2021-06-18.
↑ 大数の名前
↑ D. Valev (2019). "Evidence of Dirac large numbers hypothesis". Proceedings of the Romanian Academy. 20 (+4): 361–368.
↑ https://metricsystem.net/si/base-units/
↑ https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf/2d2b50bf-f2b4-9661-f402-5f9d66e4b507?version=3.0&t=1725283751897&download=true
↑ Pointless Googolplex Stuffs - DLMAN Part 1 (retrieved 9 November 2024)
↑ ExE ultimate googolism generator - E1 - Guppy regiment (retrieved 9 November 2024)

See also[]

Saibian's guppy regiment numbers

-minutia group

guppy-minutia · minnow-minutia · goby-minutia · gogol-minutia · ogol-minutia · googol-minutia (-speck)

n-ary numbers with multipliers

Numbers with base-multipliers

-ding group: (binary/octal)guppyding · (binary/octal)gogolding · ogolding · (binary/octal)googolding · ecetonding
-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

Numbers with -plex

Numbers by Username5243

Googol Regiment

Niloogol · Niloogolplex · Niloogolduplex · Niloogoltriplex · Niloogolquadriplex · Niloogolquintiplex · Niloogolsextiplex · Niloogolseptiplex · Niloogoloctiplex · Niloogolnoniplex · Goonol · Goodol · Gootol · Gooquol · Gooqnol · Goosol · Goospol · Gooctol · Goonvol· Goodcol · Goovol · Gooqtol · Gootirol · Gooqrol · Goohfol · Gooxtol · Goostol · Gootgol · Goontol · Gooducol · Gooqnicol · Goomol · Goomyrol · Binary-Googol · Binary-Goonol · Binary-Goodol · Binary-Gootol · Binary-Gooquol · Binary-Gooqnol · Binary-Goovol · Binary-Gooqtol · Binary-Gootirol · Binary-Goohfol · Binary-Goomol · Binary-Goomyrol · Ternary-Googol · Ternary-Goonol · Ternary-Goodol · Ternary-Gooqnol · Ternary-Goodcol · Ternary-Gooqtol · Ternary-Goohfol · Ternary-Goomol · Ternary-Goomyrol · Quaternary-Googol · Quinary-Googol · Senary-Googol · Septary-Googol · Octal-Googol · Octal-Goonol · Octal-Goodol · Octal-Gooqnol · Octal-Goodcol · Octal-Gooqtol · Octal-Goohfol · Octal-Goomol · Octal-Goomyrol · Novary-Googol · Undecimal-Googol · Duodecimal-Googol · Hexadecimal-Googol · Hexadecimal-Goonol · Hexadecimal-Gooqnol · Hexadecimal-Goodcol · Hexadecimal-Goohfol · Hexadecimal-Goomol · Hexadecimal-Goomyrol · Vigesimal-Googol · Trigesimal-Googol · Sexagesimal-Googol · Googolnilex · Niloogolunex · Goonolplex · Goodolplex · Gootolplex · Gooquolplex · Gooqnolplex · Goosolplex · Goospolplex · Gooctolplex · Goonvolplex · Goodcolplex · Goovolplex · Gooqtolplex · Goohfolplex · Gooducolplex · Goomolplex · Goomyrolplex · Binary-Googolplex · Binary-Goonolplex · Binary-Gooqnolplex · Binary-Goodcolplex · Binary-Goohfolplex · Binary-Goomolplex · Ternary-Googolplex · Quaternary-Googolplex · Quinary-Googolplex · Octal-Googolplex · Duodecimal-Googolplex · Hexadecimal-Googolplex · Vigesimal-Googolplex · Sexagesimal-Googolplex · Googolduplex · Gooqnolduplex · Goodcolduplex · Goomolduplex · Goomyrolduplex · Binary-Googolduplex · Hexadecimal-Googolduplex · Googoltriplex · Goomoltriplex · Googolquadriplex · Googolquintiplex · Googolsextiplex · Googolseptiplex · Googoloctiplex · Googolnoniplex · Googoldeciplex

Doogol Regiment

Doogol · Doonol · Doodol · Dootol · Dooquol · Dooqnol · Doosol · Doospol · Dooctol · Doonvol · Doodcol · Doovol · Dooqtol · Dootrol · Dooqrol · Doohfol · Dooxtol · Doostol · Dootgol · Doontol · Dooducol · Dooqnicol · Doomol · Doomyrol · Binary-Doogol · Binary-Doonol · Binary-Doodol · Binary-Dootol · Binary-Dooquol · Binary-Dooqnol · Binary-Doodcol · Binary-Doovol · Binary-Doohfol · Binary-Doomol · Binary-Doomyrol · Ternary-Doonol · Ternary-Doodol · Ternary-Dooqnol · Ternary-Doodcol · Ternary-Doogol · Ternary-Doomol · Quaternary-Doogol · Quinary-Doogol · Octal-Doogol · Octal-Doonol · Octal-Dooqnol · Octal-Doodcol · Octal-Doomol · Duodecimal-Doogol · Hexadecimal-Doogol · Vigesimal-Doogol · Doogolunex · Doogolduunex · Doogoltriunex · Doogolquadriunex · Googolduex · Goonolduex · Goodolduex · Gooqnolduex · Goodcolduex · Goovolduex · Goohfolduex · Goomolduex · Goomyrolduex · Binary-Googolduex · Binary-Goodcolduex · Binary-Goomolduex · Ternary-Googolduex · Octal-Googolduex · Hexadecimal-Googolduex · Googolplexiduex · Gooqnolplexiduex · Goodcolplexiduex · Goomolplexiduex · Binary-Googolplexiduex · Googolduplexiduex · Goodcolduplexiduex · Googoltriplexiduex · Googolquadriplexiduex · Googolquintiplexiduex · Doogolplex · Doogolduex · Dooqnolplex · Doodcolplex · Doovolplex · Dooqtolplex · Doohfolplex · Doomolplex · Doomyrolplex · Binary-Doogolplex · Binary-Doodcolplex · Binary-Doomolplex · Ternary-Doogolplex · Octal-Doogolplex · Hexadecimal-Doogolplex · Googolduduex · Goodcolduduex · Goomolduduex · Binary-Googolduduex · Googolplexiduduex · Goodcolplexiduduex · Googolduplexiduduex · Googoltriplexiduduex · Googolquadriplexiduduex · Doogolduplex · Doodcolduplex · Doomolduplex · Doomyrolduplex · Binary-Doogolduplex · Googolplexitriduex · Googolduplexitriduex · Doogoltriplex · Googolquadriduex · Googolplexiquadriduex · Doogolquadriplex · Googolquintiduex · Doogolquintiplex · Doogolsextiplex · Doogolseptiplex · Doogoloctiplex · Doogolnoniplex · Doogoldeciplex

Toogol Regiment

Toogol · Toonol · Toodol · Tootol · Tooquol · Tooqnol · Toosol · Toospol · Tooctol · Toonvol · Toodcol · Toovol · Tooqtol · Tootrol · Tooqrol · Toohfol · Tooducol · Toomol · Toomyrol · Binary-Toogol · Binary-Toodol · Binary-Tootol · Binary-Tooquol · Binary-Tooqnol · Binary-Toodcol · Binary-Toohfol · Binary-Toomol · Ternary-Toogol · Ternary-Toodol · Ternary-Tooqnol · Ternary-Toodcol · Ternary-Toomol · Quaternary-Toogol · Octal-Toogol · Octal-Toodcol · Duodecimal-Toogol · Hexadecimal-Toogol · Toogolunex · Toogolduunex · Toogolduex · Toogolplexiduex · Toogolduexiplex · Toogolduduex · Googoltrex · Goonoltrex · Gooqnoltrex · Goodcoltrex · Goohfoltrex · Goomoltrex · Goomyroltrex · Binary-Googoltrex · Ternary-Googoltrex · Octal-Googoltrex · Hexadecimal-Googoltrex · Googolplexitrex · Goodcolplexitrex · Goomolplexitrex · Binary-Googolplexitrex · Googolduplexitrex · Googoltriplexitrex · Googolquadriplexitrex · Doogoltrex · Dooqnoltrex · Doodcoltrex · Doomoltrex · Doomyroltrex · Binary-Doogoltrex · Octal-Doogoltrex · Hexadecimal-Googoltrex · Googolduexitrex · Goodcolduexitrex · Goomolduexitrex · Binary-Googolduexitrex · Googolplexiduexitrex · Googolduplexiduexitrex · Doogolplexitrex · Doodcolplexitrex · Doomolplexitrex · Binary-Doogolplexitrex · Googolduduexitrex · Googolplexiduduexitrex · Doogolduplexitrex · Googoltriduexitrex · Doogoltriplexitrex · Doogolquadriplexitrex · Toogolplex · Toogoltrex · Toonolplex · Tooqnolplex · Toodcolplex · Toomolplex · Toomyrolplex · Binary-Toogolplex · Octal-Toogolplex · Googoldutrex · Goodcoldutrex · Googolplexidutrex · Googolduplexidutrex · Doogoldutrex · Doodcoldutrex · Googolduexidutrex · Doogolplexidutrex · Toogolduplex · Toodcolduplex · Toomolduplex · Binary-Toogolduplex · Googoltritrex · Googolplexitritrex · Doogoltritrex · Googoldexidutrex · Doogolplexitritrex · Toogoltriplex · Googolquadritrex · Doogolquadritrex · Toogolquadriplex · Toogolquintiplex · Toogolsextiplex · Toogolseptiplex · Toogoloctiplex · Toogolnoniplex · Toogoldeciplex

Higher basic series

Tetoogol · Penoogol · Exoogol · Eptoogol · Ottoogol · Ennoogol · Dekoogol

2-entry series

Kiloogol · Kil-Googol · Kil-Doogol · Kil-Toogol · Kil-Tetoogol · Dukiloogol · Dukil-Googol · Dukil-Doogol · Trukiloogol · Tetrukiloogol · Pentukiloogol · Hexukiloogol · Heptukiloogol · Octukiloogol · Ennukiloogol · Dekukiloogol

Linear series

Megoogol · Meg-Googol · Meg-Doogol · Meg-Kiloogol · Meg-Kil-Googol · Meg-Dukiloogol · Meg-Trukiloogol · Dumegoogol · Dumeg-Googol · Dumeg-Kiloogol · Dumeg-Dukiloogol · Trumegoogol · Trumeg-Kiloogol · Tetrumegoogol · Pentumegoogol · Gigoogol · Gig-Googol · Gig-Kiloogol · Gig-Megoogol · Dugigoogol · Trugigoogol · Teroogol · Duteroogol · Truteroogol · Petoogol · Ectoogol · Zettoogol · Yottoogol · Xennoogol · Wekoogol

Two-row series

Linoogol · Lin-Googol · Lin-Doogol · Lin-Kiloogol · Lin-Megoogol · Lin-Gigoogol · Dulinoogol · Dulin-Googol · Trulinoogol · Kilulinoogol · Kilulin-Googol · Kilulin-Linoogol · Kilulin-Dulinoogol · Dukilulinoogol · Megulinoogol · Megulin-Kilulinoogol · Dumegulinoogol · Gigulinoogol · Terulinoogol · Petulinoogol · Ectulinoogol · Zettulinoogol · Yottulinoogol · Xennulinoogol · Wekulinoogol

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.

Numbers defined in Rampant Array Notation

Basic notation: Gectol · Gentol · Gilgol · Gyrol · Gookhol · Goomegol · Gooktol · Goovrol · Googigol · Gooldol · Goonrol · Gooterol · Gooskol · Gooptol · Gextol · Gycol · Guppol · Goottol · Gytol · Goonwol · Gougol · Gybol · Googol · Goolkol · Gooshol · Goovtol · Goongol · Unectol · Ungol · Dingol

Googology in Asia

Indian counting system: Lakh · Crore · Padma · Tallakshana · Ogha · Ababa · Atata · Sogandhika · Uppala · Dvajagravati · Kumuda · Pundarika · Paduma · Kathana · Mahakathana · Asankhyeya · Dvajagranisamani · Vahanaprajnapti · Inga · Kuruta · Sarvanikshepa · Agrasara · Uttaraparamanurajahpravesa · Avatamsaka Sutra · Nirabhilapya nirabhilapya parivarta · Jaghanya Parīta Asaṃkhyāta
Chinese, Japanese and Korean counting system: Wan · Yi · Zhao · Jing · Gai · Zi · Rang · Gou · Jian · Zheng · Zai · Ji · Gougasha · Asougi · Nayuta · Fukashigi · Muryoutaisuu
See also: Template:Googology in Japan

-yriad system

Main article: -yriad

myriad · dyriad · tryriad · tetryriad · pentyriad · hexyriad · heptyriad · octyriad · ennyriad · decyriad

[1] Saibian, Sbiis. Hyper-E Notation. Retrieved 2016-07-17.

[2] Part 1 (LAN) - Aarex Googology^{[dead link]}

[3] Part 1 - My Large Numbers

[4] -yriad numbers. Retrieved Apr 21, 2023

[5] Nirvana Supermind. Rampant Array Notation Numbers (Part 1: Basic/Linear) - Integral View. Retrieved 2021-06-18.

[6] 大数の名前

[7] D. Valev (2019). "Evidence of Dirac large numbers hypothesis". Proceedings of the Romanian Academy. 20 (+4): 361–368.

[8] ttps://metricsystem.net/si/base-units/

[9] ttps://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf/2d2b50bf-f2b4-9661-f402-5f9d66e4b507?version=3.0&t=1725283751897&download=true

[10] Pointless Googolplex Stuffs - DLMAN Part 1 (retrieved 9 November 2024)

[11] ExE ultimate googolism generator - E1 - Guppy regiment (retrieved 9 November 2024)

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