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113344958376144 = 243211233111137417
BaseRepresentation
bin11001110001011000101101…
…111110110010100011010000
3112212022200011000212020011200
4121301120231332302203100
5104324020433321014034
61041021542142311200
732605621505554245
oct3161305576624320
9485280130766150
10113344958376144
113312a366119630
1210867019288500
134b324cb0293a1
141ddbcd4c915cc
15d18568580a99
hex67162dfb28d0

113344958376144 has 120 divisors (see below), whose sum is σ = 361091053282752. Its totient is φ = 32853611112960.

The previous prime is 113344958376113. The next prime is 113344958376157. The reversal of 113344958376144 is 441673859443311.

113344958376144 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 4 + 4 + 9 + 5 + 8 + 3 + 7 + 614 + 4 = 666.

113344958376144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1555532277 + ... + 1555605140.

Almost surely, 2113344958376144 is an apocalyptic number.

It is an amenable number.

113344958376144 is an abundant number, since it is smaller than the sum of its proper divisors (247746094906608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113344958376144 is a wasteful number, since it uses less digits than its factorization.

113344958376144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111137465 (or 3111137456 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 113344958376144 in words is "one hundred thirteen trillion, three hundred forty-four billion, nine hundred fifty-eight million, three hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 4048 4554 6072 9108 12144 18216 36432 3111137417 6222274834 9333412251 12444549668 18666824502 24889099336 28000236753 34222511587 37333649004 49778198672 56000473506 68445023174 71556160591 74667298008 102667534761 112000947012 136890046348 143112321182 149334596016 205335069522 214668481773 224001894024 273780092696 286224642364 308002604283 410670139044 429336963546 448003788048 547560185392 572449284728 616005208566 644005445319 787117766501 821340278088 858673927092 1144898569456 1232010417132 1288010890638 1574235533002 1642680556176 1717347854184 2361353299503 2464020834264 2576021781276 3148471066004 3434695708368 4722706599006 4928041668528 5152043562552 6296942132008 7084059898509 9445413198012 10304087125104 12593884264016 14168119797018 18890826396024 28336239594036 37781652792048 56672479188072 113344958376144