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34381713531250 = 2561109399181
BaseRepresentation
bin1111101000101000111011…
…10100100110000101110010
311111201212012201201222010201
413310110131310212011302
514001302222131000000
6201042424030545414
710145665625026351
oct764243564460562
9144655181658121
1034381713531250
11aa56225a60428
123a334a636826a
1316252491a48b7
1486c125db1998
153e953208996a
hex1f451dd26172

34381713531250 has 56 divisors (see below), whose sum is σ = 64471349053044. Its totient is φ = 13751307000000.

The previous prime is 34381713531181. The next prime is 34381713531281. The reversal of 34381713531250 is 5213531718343.

It can be written as a sum of positive squares in 14 ways, for example, as 26618407445809 + 7763306085441 = 5159303^2 + 2786271^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34381713531250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 346606660 + ... + 346705840.

Almost surely, 234381713531250 is an apocalyptic number.

34381713531250 is a deficient number, since it is larger than the sum of its proper divisors (30089635521794).

34381713531250 is an frugal number, since it uses more digits than its factorization.

34381713531250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110306 (or 110281 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 34381713531250 in words is "thirty-four trillion, three hundred eighty-one billion, seven hundred thirteen million, five hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 5 10 25 50 125 250 625 1250 3125 6250 11093 15625 22186 31250 55465 99181 110930 198362 277325 495905 554650 991810 1386625 2479525 2773250 4959050 6933125 12397625 13866250 24795250 34665625 61988125 69331250 123976250 173328125 309940625 346656250 619881250 1100214833 1549703125 2200429666 3099406250 5501074165 11002148330 27505370825 55010741650 137526854125 275053708250 687634270625 1375268541250 3438171353125 6876342706250 17190856765625 34381713531250