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10440842256 = 24321319928027
BaseRepresentation
bin10011011100101001…
…01001110000010000
3222221122021202000100
421232110221300100
5132340323423011
64444011252400
7516506460225
oct115624516020
928848252010
1010440842256
114478646359
12203474a100
13ca512ba90
1471091994c
1541193cd56
hex26e529c10

10440842256 has 120 divisors (see below), whose sum is σ = 31626795200. Its totient is φ = 3196309248.

The previous prime is 10440842221. The next prime is 10440842273. The reversal of 10440842256 is 65224804401.

It is a super-2 number, since 2×104408422562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10440842256.

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, 358515 + ... + 386541.

Almost surely, 210440842256 is an apocalyptic number.

10440842256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440842256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813397600).

10440842256 is an abundant number, since it is smaller than the sum of its proper divisors (21185952944).

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

10440842256 is a wasteful number, since it uses less digits than its factorization.

10440842256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28253 (or 28244 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 10440842256 in words is "ten billion, four hundred forty million, eight hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 199 208 234 312 398 468 597 624 796 936 1194 1592 1791 1872 2388 2587 3184 3582 4776 5174 7164 7761 9552 10348 14328 15522 20696 23283 28027 28656 31044 41392 46566 56054 62088 84081 93132 112108 124176 168162 186264 224216 252243 336324 364351 372528 448432 504486 672648 728702 1008972 1093053 1345296 1457404 2017944 2186106 2914808 3279159 4035888 4372212 5577373 5829616 6558318 8744424 11154746 13116636 16732119 17488848 22309492 26233272 33464238 44618984 50196357 52466544 66928476 72505849 89237968 100392714 133856952 145011698 200785428 217517547 267713904 290023396 401570856 435035094 580046792 652552641 803141712 870070188 1160093584 1305105282 1740140376 2610210564 3480280752 5220421128 10440842256