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Zai (載 in Chinese) or Sai (さい in Japanese) is equal to \(10^{44}\)[1] in both Japanese counting system and Chinese counting system. In English, it is one hundred tredecillion in short scale and one hundred septillion in long scale.

It is pronounced as follows:

P-載

Approximations Edit

Notation Lower bound Upper bound
Scientific notation \(1\times10^{44}\)
Arrow notation \(10\uparrow44\)
Steinhaus-Moser Notation 29[3] 30[3]
Copy notation 9[44] 1[45]
Taro's multivariable Ackermann function A(3,143) A(3,144)
Pound-Star Notation #*(8,0,4,3,6)*6 #*(0,1,4,3,6)*6
BEAF {10,44}
Hyper-E notation E44
Bashicu matrix system (0)(0)(0)(0)[562] (0)(0)(0)(0)[563]
Hyperfactorial array notation 37! 38!
Strong array notation s(10,44)
Fast-growing hierarchy \(f_2(139)\) \(f_2(140)\)
Hardy hierarchy \(H_{\omega^2}(139)\) \(H_{\omega^2}(140)\)
Slow-growing hierarchy \(g_{\omega^{\omega4+4}}(10)\)

Sources Edit

  1. 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 · Bodhisattva
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
Other: Taro's multivariable Ackermann function · Sushi Kokuuhen