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10000000000

The sedeniadialogialogue is equal to E1#(10^16)#2 using Hyper-E notation.[1] The term was coined by Sbiis Saibian. In arrow notation, this number is equal to $$10↑↑10↑↑10,000,000,000,000,000$$.

## Etymology

The 2 parts of the name, "sedeniadialogia" and "logue" means Sedeniadalogue and $$10↑↑\text{n}$$, which formed $$10↑↑10↑↑10,000,000,000,000,000$$ 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 $$10 \uparrow\uparrow 10 \uparrow\uparrow 10↑16$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow (10→16) \rightarrow 2) \rightarrow 2$$ (exact)
BEAF $$\{10,\{10,\{10,16\},2\},2\}$$ (exact)
Hyperfactorial array notation $$((17!)!1)!1$$
Fast-growing hierarchy $$f_3(f_3(f_2(47))))$$
Hardy hierarchy $$H_{\omega^3 2 + \omega^2}(47)$$
Slow-growing hierarchy $$g_{\epsilon_{\epsilon_{\omega^{\omega}}}}(14)$$

## Sources

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