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Hexaeldekathol is equal to E100#^#^#^#^#^#^#^#^#^#^#^(6)100 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Etymology

The name of this number is based on the prefix "hexael-" (meaning six hyperions at the top cascade level) and the suffix "-dekathol" (meaning cascade level 10).

Approximations in other notations

Notation Approximation
BEAF $$\{100,100 (((((0,0,0,0,0,0,1) 1) 1) 1) 1) 2\}$$
Bird's array notation $$\{100,100 [1 [1 [1 [1 [1,1,1,1,1,1,2] 2] 2] 2] 2] 2\}$$
Fast-growing hierarchy $$f_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^6}}}}}}}}}}}(100)$$
Hardy hierarchy $$H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^6}}}}}}}}}}}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^5 \omega}}}}}}}}}})}(100)$$

Sources

1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity