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42514031120520 = 23351307924129333
BaseRepresentation
bin10011010101010100100011…
…01110010001000010001000
312120112022010221000100102110
421222222101232101002020
521033022213431324040
6230230402024102320
711645352216013161
oct1152522156210210
9176468127010373
1042514031120520
1112601110257923
1249276070049a0
131a95095b6377b
14a6d993846768
154dad4a55b980
hex26aa91b91088

42514031120520 has 128 divisors (see below), whose sum is σ = 127657841408640. Its totient is φ = 11326788802560.

The previous prime is 42514031120359. The next prime is 42514031120521. The reversal of 42514031120520 is 2502113041524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42514031120521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1449343774 + ... + 1449373106.

It is an arithmetic number, because the mean of its divisors is an integer number (997326886005).

Almost surely, 242514031120520 is an apocalyptic number.

42514031120520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42514031120520 is an abundant number, since it is smaller than the sum of its proper divisors (85143810288120).

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

42514031120520 is a wasteful number, since it uses less digits than its factorization.

42514031120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39895 (or 39891 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 42514031120520 in words is "forty-two trillion, five hundred fourteen billion, thirty-one million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1307 2614 3921 5228 6535 7842 9241 10456 13070 15684 18482 19605 26140 27723 29333 31368 36964 39210 46205 52280 55446 58666 73928 78420 87999 92410 110892 117332 138615 146665 156840 175998 184820 221784 234664 277230 293330 351996 369640 439995 554460 586660 703992 879990 1108920 1173320 1759980 3519960 12077987 24155974 36233961 38338231 48311948 60389935 72467922 76676462 96623896 115014693 120779870 144935844 153352924 181169805 191691155 230029386 241559740 271066253 289871688 306705848 362339610 383382310 460058772 483119480 542132506 575073465 724679220 766764620 813198759 920117544 1084265012 1150146930 1355331265 1449358440 1533529240 1626397518 2168530024 2300293860 2710662530 3252795036 4065993795 4600587720 5421325060 6505590072 8131987590 10842650120 16263975180 32527950360 354283592671 708567185342 1062850778013 1417134370684 1771417963355 2125701556026 2834268741368 3542835926710 4251403112052 5314253890065 7085671853420 8502806224104 10628507780130 14171343706840 21257015560260 42514031120520