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54042141140256 = 25313928114412529
BaseRepresentation
bin11000100100110101010101…
…01000000010010100100000
321002100101012201211200211110
430102122222220002110200
524040411301112442011
6310534341130143320
714245262431256403
oct1422325250022440
9232311181750743
1054042141140256
11162461638860a5
12608988b881b40
1324201c9064659
14d4b92162dd3a
1563ab60593ba6
hex3126aaa02520

54042141140256 has 96 divisors (see below), whose sum is σ = 143389684468800. Its totient is φ = 17820802621440.

The previous prime is 54042141140213. The next prime is 54042141140279. The reversal of 54042141140256 is 65204114124045.

It is a tau number, because it is divible by the number of its divisors (96).

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, 3456601 + ... + 10955928.

It is an arithmetic number, because the mean of its divisors is an integer number (1493642546550).

Almost surely, 254042141140256 is an apocalyptic number.

It is an amenable number.

54042141140256 is an abundant number, since it is smaller than the sum of its proper divisors (89347543328544).

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

54042141140256 is a wasteful number, since it uses less digits than its factorization.

54042141140256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14412962 (or 14412954 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 54042141140256 in words is "fifty-four trillion, forty-two billion, one hundred forty-one million, one hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 281 417 556 562 834 843 1112 1124 1668 1686 2224 2248 3336 3372 4448 4496 6672 6744 8992 13344 13488 26976 39059 78118 117177 156236 234354 312472 468708 624944 937416 1249888 1874832 3749664 14412529 28825058 43237587 57650116 86475174 115300232 172950348 230600464 345900696 461200928 691801392 1383602784 2003341531 4006683062 4049920649 6010024593 8013366124 8099841298 12020049186 12149761947 16026732248 16199682596 24040098372 24299523894 32053464496 32399365192 48080196744 48599047788 64106928992 64798730384 96160393488 97198095576 129597460768 192320786976 194396191152 388792382304 562938970211 1125877940422 1688816910633 2251755880844 3377633821266 4503511761688 6755267642532 9007023523376 13510535285064 18014047046752 27021070570128 54042141140256