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The quattuorcentillion is equal to $$10^{315}$$ in the short scale and $$10^{624}$$ in the long scale.[1]

The least example $$n$$ of $$\pi(n) > li(n)$$ must be smaller than 14 quattuorcentillion.

In the long scale, $$10^{315}$$ is called duoquinquagintilliard.

## ApproximationsEdit

Notation Lower bound Upper bound
Scientific notation $$1\times10^{315}$$
Arrow notation $$10\uparrow315$$
Steinhaus-Moser Notation 145[3] 146[3]
Copy notation 9[315] 10[158]
Taro's multivariable Ackermann function A(3,1043) A(3,1044)
Pound-Star Notation #*((1173))*11 #*((1174))*11
BEAF {10,315}
Hyper-E notation E315
Bashicu matrix system (0)(0)(0)(0)(0)(0)[83536] (0)(0)(0)(0)(0)(0)[83537]
Hyperfactorial array notation 173! 174!
Fast-growing hierarchy $$f_2(1\,036)$$ $$f_2(1\,037)$$
Hardy hierarchy $$H_{\omega^2}(1\,036)$$ $$H_{\omega^2}(1\,037)$$
Slow-growing hierarchy $$g_{\omega^{\omega^23+\omega+5}}(10)$$

## Sources Edit

1. Sbiis Saibian, 2.4.8 - Bowers' -illions - Large Numbers