Hyper-bi-exitillion is equal to H(16162) = H(16256) ~ 1010308, where H(x) equals 103x+3.[1] The name was coined by SuperJedi224. This number is greater than ecetonplex.

Full exponent

10^539,307,940,458,694,772,318,791,557,236,707,420,085,393,093,682,691,971,820,290,243,473,198,027,416,502,889,398,125,431,967,222,608,063,360,341,639,614,180,072,976,369,306,443,249,867,478,542,291,918,422,373,133,303,680,274,596,455,828,906,658,803,738,282,358,359,248,856,255,017,306,514,452,047,027,388,644,421,739,331,622,481,711,490,051,532,053,758,894,719,841,737,815,439,148,914,506,068,988,872,672,411,651

Approximations

Notation Lower bound Upper bound
Arrow notation \(1000\uparrow(1+16\uparrow256)\)
Down-arrow notation \(29\downarrow\downarrow212\) \(32\downarrow\downarrow206\)
Steinhaus-Moser Notation 142[3][3] 143[3][3]
Copy notation 4[4[309]] 5[5[309]]
Taro's multivariable Ackermann function A(3,A(3,1024)) A(3,A(3,1025))
Pound-Star Notation #*((1))*((1))*9 #*((1))*((2))*9
BEAF {1000,1+{16,256}}
Hyper-E notation E(3+3E[16]2#2)
Bashicu matrix system (0)(1)[31] (0)(1)[32]
Hyperfactorial array notation (169!)! (170!)!
Fast-growing hierarchy \(f_2(f_2(1017))\) \(f_2(f_2(1018))\)
Hardy hierarchy \(H_{\omega^22}(1017)\) \(H_{\omega^22}(1018)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^23+8}5}}(10)\) \(g_{\omega^{\omega^{\omega^23+8}6}}(10)\)

Sources

Numbers By SuperJedi224

Fibonacci Numbers

Pound-Star Notation

Based on the Faxul

Googovipleccix family

Graham Sequence Numbers

-Illion numbers

"-Illion" numbers by SuperJedi224

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