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113777104144 = 241117197193031
BaseRepresentation
bin110100111110110100…
…1001101010100010000
3101212200022200202012011
41221331221031110100
53331003414313034
6124133554112304
711135334266614
oct1517551152420
9355608622164
10113777104144
1144286233390
121a07387b694
13a962ba8a82
145714ab5344
152e5d9de864
hex1a7da4d510

113777104144 has 80 divisors (see below), whose sum is σ = 255923369856. Its totient is φ = 48427366400.

The previous prime is 113777104117. The next prime is 113777104157. The reversal of 113777104144 is 441401777311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113777104097 and 113777104106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492909 + ... + 685939.

Almost surely, 2113777104144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113777104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127961684928).

113777104144 is an abundant number, since it is smaller than the sum of its proper divisors (142146265712).

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

113777104144 is a wasteful number, since it uses less digits than its factorization.

113777104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193264 (or 193258 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The spelling of 113777104144 in words is "one hundred thirteen billion, seven hundred seventy-seven million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 197 272 374 394 748 788 1496 1576 2167 2992 3152 3349 4334 6698 8668 13396 17336 26792 34672 36839 53584 73678 147356 193031 294712 386062 589424 772124 1544248 2123341 3088496 3281527 4246682 6563054 8493364 13126108 16986728 26252216 33973456 36096797 38027107 52504432 72193594 76054214 144387188 152108428 288774376 304216856 418298177 577548752 608433712 646460819 836596354 1292921638 1673192708 2585843276 3346385416 5171686552 6692770832 7111069009 10343373104 14222138018 28444276036 56888552072 113777104144