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Gougasha

Japanese characters for Gougasha

Gougasha or Kougasha (恒河沙 written in Japanese characters, means 'Sands of the Ganges') is \(10^{52}\) . The word is in Buddhism's sutra, and it was adopted in Chinese counting system and in Japanese counting system. [1][2]

In English, it is ten sexdecillion in short scale or ten octilliard in long scale.

Approximations Edit

Notation Lower bound Upper bound
Scientific notation \(1\times10^{52}\)
Arrow notation \(10\uparrow52\)
Steinhaus-Moser Notation 33[3] 34[3]
Copy notation 9[52] 1[53]
Taro's multivariable Ackermann function A(3,169) A(3,170)
Pound-Star Notation #*(4,7,4,3,2,1)*6 #*(5,7,4,3,2,1)*6
BEAF {10,52}
Hyper-E notation E52
Bashicu matrix system (0)(0)(0)(0)[1778] (0)(0)(0)(0)[1779]
Hyperfactorial array notation 42! 43!
Fast-growing hierarchy \(f_2(165)\) \(f_2(166)\)
Hardy hierarchy \(H_{\omega^2}(165)\) \(H_{\omega^2}(166)\)
Slow-growing hierarchy \(g_{\omega^{\omega5+2}}(10)\)

SourcesEdit

  1. Book of Numbers by J.H. Conway and R.K. Guy
  2. 大数の名前

See alsoEdit

Googology in Asia

Fish numbers: Fish number 1 · Fish number 2 · Fish number 3 · Fish number 4 · Fish number 5 · Fish number 6 · Fish number 7
Mapping functions: S map · SS map · S(n) map · M(n) map · M(m,n) map
By Aeton: Okojo numbers · N-growing hierarchy
By BashicuHyudora: Pair sequence number · Bashicu matrix system
Indian counting system: Lakh · Crore · Uppala
Chinese, Japanese and Korean counting system: Wan · Yi · Zhao · Jing · Gai · Zi · Rang · Gou · Jian · Zheng · Zai · Ji · Gougasha · Asougi · Nayuta · Fukashigi · Muryoutaisuu
Buddhist text: Tallakshana · Dvajagravati · Mahakathana · Asankhyeya · Dvajagranisamani · Vahanaprajnapti · Inga · Kuruta · Sarvanikshepa · Agrasara · Uttaraparamanurajahpravesa · Avatamsaka Sutra · Nirabhilapya nirabhilapya parivarta
Other: Taro's multivariable Ackermann function · Sushi Kokuuhen