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42410110356 = 22333119764301
BaseRepresentation
bin100111011111110101…
…101110110110010100
311001110122002211101000
4213133311232312110
51143323442012411
631252151503300
73030650663415
oct473765566624
9131418084330
1042410110356
1116a93446689
128277087b30
133ccb49b073
1420a46dd80c
1511833a8956
hex9dfd6ed94

42410110356 has 96 divisors (see below), whose sum is σ = 114076892160. Its totient is φ = 13611024000.

The previous prime is 42410110321. The next prime is 42410110381. The reversal of 42410110356 is 65301101424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 627406 + ... + 691706.

It is an arithmetic number, because the mean of its divisors is an integer number (1188300960).

Almost surely, 242410110356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42410110356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57038446080).

42410110356 is an abundant number, since it is smaller than the sum of its proper divisors (71666781804).

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

42410110356 is a wasteful number, since it uses less digits than its factorization.

42410110356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64542 (or 64534 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 42410110356 in words is "forty-two billion, four hundred ten million, one hundred ten thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 197 279 372 394 558 591 788 837 1116 1182 1674 1773 2364 3348 3546 5319 6107 7092 10638 12214 18321 21276 24428 36642 54963 64301 73284 109926 128602 164889 192903 219852 257204 329778 385806 578709 659556 771612 1157418 1736127 1993331 2314836 3472254 3986662 5979993 6944508 7973324 11959986 12667297 17939979 23919972 25334594 35879958 38001891 50669188 53819937 71759916 76003782 107639874 114005673 152007564 215279748 228011346 342017019 392686207 456022692 684034038 785372414 1178058621 1368068076 1570744828 2356117242 3534175863 4712234484 7068351726 10602527589 14136703452 21205055178 42410110356