Search a number
-
+
42511751043984 = 24323725731046429
BaseRepresentation
bin10011010101010000010011…
…10100011101101110010000
312120112002021000122110102100
421222220021310131232100
521033003031231401414
6230225343454120400
711645241551461545
oct1152501164355620
9176462230573370
1042511751043984
1112600150204652
12492708b4b0100
131a94ac1675c61
14a6d818ac2bcc
154dac652c3609
hex26aa09d1db90

42511751043984 has 120 divisors (see below), whose sum is σ = 122664817487160. Its totient is φ = 13733946261504.

The previous prime is 42511751043941. The next prime is 42511751044033. The reversal of 42511751043984 is 48934015711524.

42511751043984 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 1 + 7 + 510 + 43 + 9 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29694434547600 + 12817316496384 = 5449260^2 + 3580128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42511751043984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14153919 + ... + 16892510.

It is an arithmetic number, because the mean of its divisors is an integer number (1022206812393).

Almost surely, 242511751043984 is an apocalyptic number.

It is an amenable number.

42511751043984 is an abundant number, since it is smaller than the sum of its proper divisors (80153066443176).

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

42511751043984 is a wasteful number, since it uses less digits than its factorization.

42511751043984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31046737 (or 31046728 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 42511751043984 in words is "forty-two trillion, five hundred eleven billion, seven hundred fifty-one million, forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 257 296 333 444 514 592 666 771 888 1028 1332 1542 1776 2056 2313 2664 3084 4112 4626 5328 6168 9252 9509 12336 18504 19018 28527 37008 38036 57054 76072 85581 114108 152144 171162 228216 342324 456432 684648 1369296 31046429 62092858 93139287 124185716 186278574 248371432 279417861 372557148 496742864 558835722 745114296 1117671444 1148717873 1490228592 2235342888 2297435746 3446153619 4470685776 4594871492 6892307238 7978932253 9189742984 10338460857 13784614476 15957864506 18379485968 20676921714 23936796759 27569228952 31915729012 41353843428 47873593518 55138457904 63831458024 71810390277 82707686856 95747187036 127662916048 143620780554 165415373712 191494374072 287241561108 295220493361 382988748144 574483122216 590440986722 885661480083 1148966244432 1180881973444 1771322960166 2361763946888 2656984440249 3542645920332 4723527893776 5313968880498 7085291840664 10627937760996 14170583681328 21255875521992 42511751043984