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Octicahlah is equal to E100#^########100 = E100#^#8100 = E100#^(#^8)100 in Cascading-E Notation.[1][2] The term was coined by Sbiis Saibian.

## Etymology

The name of this number is based on the prefix "octi-" (meaning eight) and the number "godgahlah".

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100 (8) 2\}$$
Bird's array notation $$\{100,100 [9] 2\}$$
Hyperfactorial array notation $$100![1,[1,1,8],1,2]$$
Fast-growing hierarchy $$f_{\omega^{(\omega^7) 99+(\omega^6) 99+(\omega^5) 99+(\omega^4) 99+(\omega^3) 99+(\omega^2) 99+\omega 99+99}}(100)$$
$$\approx f_{\omega^{\omega^8} }(100)$$
Hardy hierarchy $$H_{\omega^{\omega^{(\omega^7) 99+(\omega^6) 99+(\omega^5) 99+(\omega^4) 99+(\omega^3) 99+(\omega^2) 99+\omega 99+99}}}(100)$$
$$\approx f_{\omega^{\omega^{\omega^8} } }(100)$$
Slow-growing hierarchy $$g_{\vartheta(\Omega^{(\Omega^7) 99+(\Omega^6) 99+(\Omega^5) 99+(\Omega^4) 99+(\Omega^3) 99+(\Omega^2) 99+\Omega 99+99})}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity. Retrieved 2015-09-22.
2. Sbiis Saibian's Ultimate Large Numbers List - Part III