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42571144117524 = 22311615287027337
BaseRepresentation
bin10011010110111110111011…
…11011000011110100010100
312120201202120020012012120210
421223133131323003310110
521034441200343230044
6230312525201525420
711652443431331421
oct1153373573036424
9176652506165523
1042571144117524
11126233590328a0
1249366a6043870
131a9a598450959
14a72650b08d48
154dc58e5db1b9
hex26b7ddec3d14

42571144117524 has 48 divisors (see below), whose sum is σ = 110139353505216. Its totient is φ = 12688865606400.

The previous prime is 42571144117457. The next prime is 42571144117531.

42571144117524 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×425711441175242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2643505617 + ... + 2643521720.

It is an arithmetic number, because the mean of its divisors is an integer number (2294569864692).

Almost surely, 242571144117524 is an apocalyptic number.

42571144117524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42571144117524 is an abundant number, since it is smaller than the sum of its proper divisors (67568209387692).

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

42571144117524 is a wasteful number, since it uses less digits than its factorization.

42571144117524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287027416 (or 5287027414 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The spelling of 42571144117524 in words is "forty-two trillion, five hundred seventy-one billion, one hundred forty-four million, one hundred seventeen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 8052 5287027337 10574054674 15861082011 21148109348 31722164022 58157300707 63444328044 116314601414 174471902121 232629202828 322508667557 348943804242 645017335114 697887608484 967526002671 1290034670228 1935052005342 3547595343127 3870104010684 7095190686254 10642786029381 14190381372508 21285572058762 42571144117524