The gralgathorquadragintice is equal to E100#^#^###40 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Approximations in other notations

Notation Approximation
BEAF \(\{100,100 (0,0,40) 2\}\)
Bird's array notation \(\{100,100 [1,1,41] 2\}\)
Hyperfactorial array notation \(100![1,[1,[1,40,3],1,2],1,3]\)
Fast-growing hierarchy \(f_{\omega^{\omega^{(\omega^2) {40}}}}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{(\omega^2) {40}}}}}(100)\)
Slow-growing hierarchy \(g_{\theta(\Omega^{\Omega^{(\Omega^2) {40}}})}(100)\)


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