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Hexalogialogue
100000.....00000

100000.....00000

100000.....00000
100000.....00000
10000000000
Hexalogialogue in zeroes

Hexalogialogue is equal to E1#6#2 using Hyper-E notation.[1] The term was coined by Sbiis Saibian. It is equal to $$10↑↑10↑↑6$$ in arrow notation.

## Etymology

The 2 parts of the name, ''hexalogia'' and ''logue'' means Hexalogue and $$10↑↑\text{n}$$, which formed $$10↑↑10↑↑6$$ when concentrated from left to right. So the full name indicates the ordinal index of the number.

## Approximations in other notations

Notation Approximation
Up-arrow notation $$10 \uparrow\uparrow 10 \uparrow\uparrow 6$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow 6 \rightarrow 2) \rightarrow 2$$ (exact)
BEAF $$\{10,\{10,6,2\},2\}$$ (exact)
Hyperfactorial array notation $$(((((13!)!)!)!)!)!1$$
Fast-growing hierarchy $$f_3(f_2^5(28))$$
Hardy hierarchy $$H_{\omega^3+(\omega^2) 5}(28)$$
Slow-growing hierarchy $$g_{\varepsilon_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega}}}}}}}(10)$$

## Sources

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