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Hyper-pen-exitillion is equal to H(16165) = H(161048576), where H(x) equals 103x+3.[1] The name was coined by SuperJedi224.

## Approximations

Notation Lower bound Upper bound
Arrow notation $$1000\uparrow(1+16\uparrow16\uparrow5)$$
Down-arrow notation $$92\downarrow\downarrow642948$$ $$32\downarrow\downarrow838862$$
Steinhaus-Moser Notation 6[3][3][3] 7[3][3][3]
Copy notation 1[1[1[7]]] 2[2[2[7]]]
Taro's multivariable Ackermann function A(3,A(3,A(3,19))) A(3,A(3,A(3,20)))
Pound-Star Notation #*((1))*((1885))*342 #*((1))*((1886))*342
BEAF {1000,1+{16,{16,5}}}
Hyper-E notation E(3+3E[16]5#2)
Bashicu matrix system (0)(1)[2047] (0)(1)[2048]
Hyperfactorial array notation ((8!)!)! ((9!)!)!
Fast-growing hierarchy $$f_2^3(17)$$ $$f_2^3(18)$$
Hardy hierarchy $$H_{\omega^23}(17)$$ $$H_{\omega^23}(18)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega^5}}2}(16)$$ $$g_{\omega^{\omega^{\omega^5}}3}(16)$$

## Sources

Numbers By SuperJedi224

Fibonacci Numbers

Level One

Level Two

#*

#**

H#*

#*{}

#*<<>>

H#*<<>>

Bingol series

Based on the Faxul

Other factorials

Googovipleccix family

Graham Sequence Numbers

-Illion numbers

Level One

Level Three

Level Four

"-Illion" numbers by SuperJedi224

Level One

Level Three

Level Four

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