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114692427504 = 24326136412027
BaseRepresentation
bin110101011010000110…
…0111000111011110000
3101222001010000222210100
41222310030320323300
53334342230140004
6124404452432400
711200120356054
oct1526414707360
9358033028710
10114692427504
1144705981376
121a28a318700
13aa7a709025
1457a049dc64
152eb4046739
hex1ab4338ef0

114692427504 has 120 divisors (see below), whose sum is σ = 322163545392. Its totient is φ = 38090096640.

The previous prime is 114692427467. The next prime is 114692427523. The reversal of 114692427504 is 405724296411.

114692427504 is a `hidden beast` number, since 1 + 14 + 6 + 92 + 42 + 7 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114692427504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56581339 + ... + 56583365.

Almost surely, 2114692427504 is an apocalyptic number.

It is an amenable number.

114692427504 is an abundant number, since it is smaller than the sum of its proper divisors (207471117888).

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

114692427504 is a wasteful number, since it uses less digits than its factorization.

114692427504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 114692427504 in words is "one hundred fourteen billion, six hundred ninety-two million, four hundred twenty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 613 641 1226 1282 1839 1923 2027 2452 2564 3678 3846 4054 4904 5128 5517 5769 6081 7356 7692 8108 9808 10256 11034 11538 12162 14712 15384 16216 18243 22068 23076 24324 29424 30768 32432 36486 44136 46152 48648 72972 88272 92304 97296 145944 291888 392933 785866 1178799 1242551 1299307 1571732 2357598 2485102 2598614 3143464 3536397 3727653 3897921 4715196 4970204 5197228 6286928 7072794 7455306 7795842 9430392 9940408 10394456 11182959 11693763 14145588 14910612 15591684 18860784 19880816 20788912 22365918 23387526 28291176 29821224 31183368 44731836 46775052 56582352 59642448 62366736 89463672 93550104 178927344 187100208 796475191 1592950382 2389425573 3185900764 4778851146 6371801528 7168276719 9557702292 12743603056 14336553438 19115404584 28673106876 38230809168 57346213752 114692427504