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100344240564324 = 223294326924928289
BaseRepresentation
bin10110110100001100110110…
…110100000110100001100100
3111011021211000122200002012020
4112310030312310012201210
5101123020001041024244
6553225301400423140
730064426552514661
oct2664146664064144
9434254018602166
10100344240564324
1129a77831914229
12b307477177ab0
1343cb562736463
141aac9897b6a68
15b902b5da8d19
hex5b4336d06864

100344240564324 has 96 divisors (see below), whose sum is σ = 248764391568000. Its totient is φ = 31426394689536.

The previous prime is 100344240564257. The next prime is 100344240564331. The reversal of 100344240564324 is 423465042443001.

It is a super-2 number, since 2×1003442405643242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8438829 + ... + 16489460.

It is an arithmetic number, because the mean of its divisors is an integer number (2591295745500).

Almost surely, 2100344240564324 is an apocalyptic number.

It is an amenable number.

100344240564324 is an abundant number, since it is smaller than the sum of its proper divisors (148420151003676).

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

100344240564324 is a wasteful number, since it uses less digits than its factorization.

100344240564324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24928637 (or 24928635 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 100344240564324 in words is "one hundred trillion, three hundred forty-four billion, two hundred forty million, five hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 269 348 516 538 807 1076 1247 1614 2494 3228 3741 4988 7482 7801 11567 14964 15602 23134 23403 31204 34701 46268 46806 69402 93612 138804 335443 670886 1006329 1341772 2012658 4025316 24928289 49856578 74784867 99713156 149569734 299139468 722920381 1071916427 1445840762 2143832854 2168761143 2891681524 3215749281 4287665708 4337522286 6431498562 6705709741 8675044572 12862997124 13411419482 20117129223 26822838964 31085576383 40234258446 62171152766 80468516892 93256729149 124342305532 186513458298 194465582489 288345518863 373026916596 388931164978 576691037726 583396747467 777862329956 865036556589 1153382075452 1166793494934 1730073113178 2333586989868 3460146226356 8362020047027 16724040094054 25086060141081 33448080188108 50172120282162 100344240564324