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Ennalogialogue
100000.....00000

100000.....00000

100000.....00000
100000.....00000
10000000000
Ennalogialogue in zeroes

The ennalogialogue is equal to E1#9#2 using Hyper-E notation.[1] The term was coined by Sbiis Saibian. In arrow notation, this number is equal to $$10↑↑10↑↑9$$.

Etymology Edit

The 2 parts of the name, "ennalogia" and "logue" means Ennalogue and $$10↑↑\text{n}$$, which formed $$10↑↑10↑↑9$$ when concentrated from left to right. So the full name indicates how the number is constructed.

Approximations in other notations Edit

Notation Approximation
Up-arrow notation $$10 \uparrow\uparrow 10 \uparrow\uparrow 9$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow 9 \rightarrow 2) \rightarrow 2$$ (exact)
BEAF $$\{10,\{10,9,2\},2\}$$ (exact)
Hyperfactorial array notation $$((((((((13!)!)!)!)!)!)!)!)!1$$
Fast-growing hierarchy $$f_3(f_2^8(28))$$
Hardy hierarchy $$H_{\omega^3+(\omega^2) 8}(28)$$
Slow-growing hierarchy $$g_{\epsilon_{\omega↑↑9}}(10)$$

Sources Edit

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