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113841942144 = 2737172491289
BaseRepresentation
bin110101000000110000…
…0100010111010000000
3101212211211200212012120
41222001200202322000
53331122014122034
6124144231524240
711140052353650
oct1520140427200
9355754625176
10113841942144
1144309899107
121a091529680
13a97345ab58
14571d552360
152e6454ac49
hex1a81822e80

113841942144 has 128 divisors (see below), whose sum is σ = 365920675200. Its totient is φ = 30612946944.

The previous prime is 113841942143. The next prime is 113841942199. The reversal of 113841942144 is 441249148311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1138419421442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 113841942096 and 113841942105.

It is not an unprimeable number, because it can be changed into a prime (113841942143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199949 + ... + 1291340.

It is an arithmetic number, because the mean of its divisors is an integer number (2858755275).

Almost surely, 2113841942144 is an apocalyptic number.

113841942144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113841942144 is an abundant number, since it is smaller than the sum of its proper divisors (252078733056).

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

113841942144 is a wasteful number, since it uses less digits than its factorization.

113841942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491330 (or 2491318 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The spelling of 113841942144 in words is "one hundred thirteen billion, eight hundred forty-one million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 2491289 4982578 7473867 9965156 14947734 17439023 19930312 29895468 34878046 39860624 42351913 52317069 59790936 69756092 79721248 84703826 104634138 119581872 127055739 139512184 159442496 169407652 209268276 239163744 254111478 279024368 296463391 318884992 338815304 418536552 478327488 508222956 558048736 592926782 677630608 837073104 889390173 956654976 1016445912 1116097472 1185853564 1355261216 1674146208 1778780346 2032891824 2232194944 2371707128 2710522432 3348292416 3557560692 4065783648 4743414256 5421044864 6696584832 7115121384 8131567296 9486828512 14230242768 16263134592 18973657024 28460485536 37947314048 56920971072 113841942144