Thraelgathorquid is equal to E100#^#^####5 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.


The name of this number is based on the number "thraelgathor" and the suffix "-quid".

Approximations in other notations

Notation Approximation
BEAF \(\{100,100 (0,0,0,5) 2\}\)
Bird's array notation \(\{100,100 [1,1,1,6] 2\}\)
Hyperfactorial array notation \(100![1,[1,[1,5,4],1,2],1,3]\)
Fast-growing hierarchy \(f_{\omega^{\omega^{\omega^3 5}}}(100)\)
Hardy hierarchy \(f_{\omega^{\omega^{\omega^{\omega^3 5}}}}(100)\)
Slow-growing hierarchy \(g_{\theta(\Omega^{\Omega^{\Omega^3 4 + \Omega^2 \omega}})}(100)\)


  1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity. Retrieved 2016-09-09.
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