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Nirabhilapya nirabhilapya parivarta (Bukeshuo bukeshuo zhuan 不可說不可說轉)[1] which appeared as Bodhisattva's math in Avatamsaka Sutra[2] is a large number in Bodhisattva's sutra which was translated by Śikṣānanda (實叉難陀, 652–710)[3]. It's equal to $$10^{7 \times 2^{122}}$$ or $$10^{37,218,383,881,977,644,441,306,597,687,849,648,128}$$, where complete list of calculated numbers are available in the Chinese version of this page.

## Other versions

As described in Avatamsaka Sutra, Avatamsaka Sutra has other versions of translations to Chinese. The version translated by Prajñā (般若)[4] also has 不可說不可說轉[5] as the largest number but it has different value of $$10^{7\times2^{142}}=10^{39026304097428590497687506977134632635465728}$$.

The version which was translated by Buddhabhadra (佛馱跋陀羅, 359-429)[6] which has different value of the largest number, which is $$10^{5 \times 2^{121}} = 10^{13292279957849158729038070602803445760}$$ , was translated to English by Thomas Cleary[7], which has a different value of the highest value "untold" which is supposed to have the value of $$10^{5 \times 2^{123}}$$, where "square untold" $$10^{5 \times 2^{124}}$$ is also mentioned. Chinese name of this number is also different (不可說轉轉). This number is larger than centyllion, but smaller than gogolplex.

## Approximation in other notations

Notation Lower bound Upper bound
Arrow notation $$(10\uparrow7)\uparrow4\uparrow61$$
Down-arrow notation $$716\downarrow\downarrow14$$ $$301\downarrow\downarrow16$$
Steinhaus-Moser Notation 25[3][3] 26[3][3]
Copy notation 3[3[38]] 4[4[38]]
H* function H(12H(11)) H(13H(11))
Taro's multivariable Ackermann function A(3,A(3,123)) A(3,A(3,124))
Pound-Star Notation #*((1))*(3,1)*13 #*((1))*(1,2,1,2)*4
BEAF {{10,7},{4,61}}
Hyper-E notation E(7E[4]61)
Bashicu matrix system (0)(1)[11] (0)(1)[12]
Hyperfactorial array notation (32!)! (33!)!
Fast-growing hierarchy $$f_2(f_2(119))$$ $$f_2(f_2(120))$$
Hardy hierarchy $$H_{\omega^22}(119)$$ $$H_{\omega^22}(120)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega3+7}3}}(10)$$ $$g_{\omega^{\omega^{\omega3+7}4}}(10)$$

## Sources

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