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Octadialogialogue
100000.....00000

100000.....00000

100000.....00000
100000.....00000
10000000000
Octadialogialogue in zeroes

The octadialogialogue is equal to E1#100,000,000#2 using Hyper-E notation.[1] The term was coined by Sbiis Saibian. In arrow notation, this number is equal to $$10↑↑10↑↑100,000,000$$.

## Etymology

The 2 parts of the name, "octadialogia" and "logue" means Octadalogue and $$10↑↑\text{n}$$, which formed $$10↑↑10↑↑100,000,000$$ when concentrated from left to right. So the full name indicates how the number is constructed.

## Approximations in other notations

Notation Approximation
Up-arrow notation $$10 \uparrow\uparrow 10 \uparrow\uparrow 10↑8$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow (10→8) \rightarrow 2) \rightarrow 2$$ (exact)
BEAF $$\{10,\{10,100000000,2\},2\}$$ (exact)
Hyperfactorial array notation $$(100,000,002!1)!1$$
Fast-growing hierarchy $$f_3(f_3(100,000,000))$$
Hardy hierarchy $$H_{\omega^3 2}(100,000,000)$$
Slow-growing hierarchy $$g_{\epsilon_{\epsilon_0}}(100,000,000)$$

## Sources

1. Saibian, Sbiis. 4.3.2 - Hyper-E Notation - Large Numbers. Retrieved 2016-07-18.

## See also

Saibian's power towers of 10s
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