11,602
pages

Super Monster-Giant is equal to E100(#^^#)^(#^^#)^(#^^#*#^^#...#^^#*#^^#)100 (with 100 #^^#'s in the hyper-product) = E100(#^^#)^(#^^#)^(#^^#)^#100 in Extended Cascading-E Notation.[1][2] The term was coined by Sbiis Saibian.

## Etymology

The name of this number is based on the word "super" and the number "Monster-Giant".

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100 ((X \uparrow\uparrow X)^{(X \uparrow\uparrow X)^X}) 2\}$$[3]
Bird's array notation $$\{100,100 [1 [2 \backslash 2] 2 \backslash 2] 2\}$$
X-Sequence Hyper-Exponential Notation $$100\{(X\uparrow\uparrow X)^{(X\uparrow\uparrow X)^{(X\uparrow\uparrow X)^{X}}}\}100$$
Fast-growing hierarchy $$f_{\varepsilon_0^{\varepsilon_0^{\varepsilon_0^\omega}}}(100)$$
Hardy hierarchy $$H_{\varepsilon_0^{\varepsilon_0^{\varepsilon_0^{\varepsilon_0^\omega}}}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega2}^{\varepsilon_{\Omega2}^{\varepsilon_{\Omega2}^\omega}})}(100)$$

## Sources

1. Sbiis Saibian, 4.3.5 Cascading-E Numbers
2. Sbiis Saibian's Ultimate Large Numbers List - Part III
3. Using particular notation $$\{a,b (A) 2\} = A\ \&\ a$$ with prime b.