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:

Approximations

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

See also

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: Primitive sequence number · Pair sequence number · Bashicu matrix system
By Kanrokoti: KumaKuma ψ function
By 巨大数大好きbot: Flan numbers
By Jason: Irrational arrow notation · δOCF · δφ · ε function
By mrna: 段階配列表記 · 降下段階配列表記 · 多変数段階配列表記 · SSAN · S-σ
By Nayuta Ito: N primitive
By p進大好きbot: Large Number Garden Number
By Yukito: Hyper primitive sequence system · Y sequence · YY sequence · Y function
Indian counting system: Lakh · Crore · Tallakshana · Uppala · Dvajagravati · Paduma · Mahakathana · Asankhyeya · Dvajagranisamani · Vahanaprajnapti · Inga · Kuruta · Sarvanikshepa · Agrasara · Uttaraparamanurajahpravesa · Avatamsaka Sutra · Nirabhilapya nirabhilapya parivarta
Chinese, Japanese and Korean counting system: Wan · Yi · Zhao · Jing · Gai · Zi · Rang · Gou · Jian · Zheng · Zai · Ji · Gougasha · Asougi · Nayuta · Fukashigi · Muryoutaisuu
Other: Taro's multivariable Ackermann function · TR function · Arai's \(\psi\) · Sushi Kokuu Hen

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