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Hundertime is equal to the product of the first 100 prime numbers, or 541# using primorial. The number was coined by Unknown95387.

Etymology

The number came by combining german word for 100, "hundert" and suffix "-ime" from "prime".

Properties

This number has 220 digits. In decimal notation, it is:

4711930799906184953162487834760260422020574773409675520188634839616415335845034221205289256705544681972439104097777157991804380284218315038719444943990492579030720635990538452312528339864352999310398481791730017201031090

The prime factorization is:

2×3×5×7×11×13×17×19×23×29×31×37×41×43×47×53×59×61×67×71×73×79×83×89×97×101×103×107×109×113×127×131×137×139×149×151×157×163×167×173×179×181×191×193×197×199×211×223×227×229×233×239×241×251×257×263×269×271×277×281×283×293×307×311×313×317×331×337×347×349×353×359×367×373×379×383×389×397×401×409×419×421×431×433×439×443×449×457×461×463×467×479×487×491×499×503×509×521×523×541

Approximations in other notations

Notation Lower bound Upper bound
Scientific notation $$4.711\times10^{219}$$ $$4.712\times10^{219}$$
Arrow notation $$18\uparrow175$$ $$113\uparrow107$$
Steinhaus-Moser Notation 108 109
Copy notation 4 5
Taro's multivariable Ackermann function A(3,726) A(3,727)
Pound-Star Notation #*((15))*10 #*((16))*10
BEAF {18,175} {113,107}
Hyper-E notation 4E219 5E219
Bashicu matrix system (0)(0)(0)(0)(0)(0) (0)(0)(0)(0)(0)(0)
Hyperfactorial array notation 129! 130!
Fast-growing hierarchy $$f_2(720)$$ $$f_2(721)$$
Hardy hierarchy $$H_{\omega^2}(720)$$ $$H_{\omega^2}(721)$$
Slow-growing hierarchy $$g_{\omega^{\omega+14}42}(96)$$ $$g_{\omega^{\omega+23}22}(89)$$