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42131244213124 = 22111497069909091
BaseRepresentation
bin10011001010001011100011…
…10110000110001110000100
312112011201002211220200102221
421211011301312012032010
521010234242004304444
6225334454300142124
711605611336000463
oct1145056166061604
9175151084820387
1042131244213124
111247383aaa97a0
124885398537944
131a67c61708231
14a5923d7929da
154d0de4dcda84
hex265171d86384

42131244213124 has 48 divisors (see below), whose sum is σ = 80983733544000. Its totient is φ = 19019326435200.

The previous prime is 42131244213077. The next prime is 42131244213161.

42131244213124 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42131244213124.

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, 45889819 + ... + 46798909.

It is an arithmetic number, because the mean of its divisors is an integer number (1687161115500).

Almost surely, 242131244213124 is an apocalyptic number.

42131244213124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42131244213124 is a deficient number, since it is larger than the sum of its proper divisors (38852489330876).

42131244213124 is a wasteful number, since it uses less digits than its factorization.

42131244213124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916324 (or 916322 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 4213124 and 4213124, that added together give a palindrome (8426248).

The spelling of 42131244213124 in words is "forty-two trillion, one hundred thirty-one billion, two hundred forty-four million, two hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 149 298 596 1639 3278 6556 7069 14138 28276 77759 155518 311036 909091 1053281 1818182 2106562 3636364 4213124 10000001 11586091 20000002 23172182 40000004 46344364 135454559 270909118 541818236 1490000149 2980000298 5960000596 6426364279 12852728558 25705457116 70690007069 141380014138 282760028276 957528277571 1915056555142 3830113110284 10532811053281 21065622106562 42131244213124