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42111185256 = 2334721326253
BaseRepresentation
bin100111001110000001…
…011011000101101000
311000200210121212020000
4213032001123011220
51142220430412011
631202352503000
73020361111600
oct471601330550
9130623555200
1042111185256
111694a736848
1281b2b4aa60
133c815885ca
142076b29c00
15116700d356
hex9ce05b168

42111185256 has 120 divisors (see below), whose sum is σ = 137207607570. Its totient is φ = 12031758144.

The previous prime is 42111185243. The next prime is 42111185267. The reversal of 42111185256 is 65258111124.

42111185256 is a `hidden beast` number, since 4 + 2 + 11 + 118 + 525 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41922562500 + 188622756 = 204750^2 + 13734^2 .

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 42111185256.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 631375 + ... + 694878.

Almost surely, 242111185256 is an apocalyptic number.

It is an amenable number.

42111185256 is an abundant number, since it is smaller than the sum of its proper divisors (95096422314).

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

42111185256 is a wasteful number, since it uses less digits than its factorization.

42111185256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326285 (or 1326265 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The spelling of 42111185256 in words is "forty-two billion, one hundred eleven million, one hundred eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 1326253 2652506 3978759 5305012 7957518 9283771 10610024 11936277 15915036 18567542 23872554 27851313 31830072 35808831 37135084 47745108 55702626 64986397 71617662 74270168 83553939 95490216 107426493 111405252 129972794 143235324 167107878 194959191 214852986 222810504 250661817 259945588 286470648 334215756 389918382 429705972 501323634 519891176 584877573 668431512 751985451 779836764 859411944 1002647268 1169755146 1503970902 1559673528 1754632719 2005294536 2339510292 3007941804 3509265438 4679020584 5263898157 6015883608 7018530876 10527796314 14037061752 21055592628 42111185256