11,053 Pages

A quattuorquardragintillion is equal to 10135 in the short scale, or $$10^{264}$$ in the long scale by Conway and Guy's naming system.[1][2][3]

In the long scale which is commonly used in France and Germany, $$10^{135}$$ is called duovigintilliard.

## Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{135}$$
Arrow notation $$10\uparrow135$$
Steinhaus-Moser Notation 72[3] 73[3]
Copy notation 9[135] 10[68]
Taro's multivariable Ackermann function A(3,445) A(3,446)
Pound-Star Notation #*(1,14,10,5,0,9,2,1)*10 #*(9,5,13,6,3,0,3)*12
BEAF {10,135}
Hyper-E notation E135
Bashicu matrix system (0)(0)(0)(0)(0)[16548] (0)(0)(0)(0)(0)[16549]
Hyperfactorial array notation 88! 89!
Fast-growing hierarchy $$f_2(439)$$ $$f_2(440)$$
Hardy hierarchy $$H_{\omega^2}(439)$$ $$H_{\omega^2}(440)$$
Slow-growing hierarchy $$g_{\omega^{\omega^2+\omega3+5}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{264}$$
Arrow notation $$10\uparrow264$$
Steinhaus-Moser Notation 125[3] 126[3]
Copy notation 9[264] 1[265]
Taro's multivariable Ackermann function A(3,873) A(3,874)
Pound-Star Notation #*((3432))*10 #*((3433))*10
BEAF {10,264}
Hyper-E notation E264
Bashicu matrix system (0)(0)(0)(0)(0)(0)[13335] (0)(0)(0)(0)(0)(0)[13336]
Hyperfactorial array notation 150! 151!
Fast-growing hierarchy $$f_2(867)$$ $$f_2(868)$$
Hardy hierarchy $$H_{\omega^2}(867)$$ $$H_{\omega^2}(868)$$
Slow-growing hierarchy $$g_{\omega^{\omega^22+\omega6+4}}(10)$$

## List of prefixed numbers derived from quadragintillion

Name Short scale Long scale