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42111455411124 = 223211412593708759
BaseRepresentation
bin10011001001100110101100…
…10101110011101110110100
312112002211000201210101101100
421210303112111303232310
521004423230041123444
6225321422513330100
711604311056650261
oct1144632625635664
9175084021711340
1042111455411124
1112466405810980
124881595266930
131a66129a08838
14a582c3566268
154d063797ee69
hex264cd6573bb4

42111455411124 has 72 divisors (see below), whose sum is σ = 118957858568640. Its totient is φ = 12449802038400.

The previous prime is 42111455411119. The next prime is 42111455411143.

42111455411124 is a `hidden beast` number, since 4 + 2 + 1 + 114 + 5 + 5 + 411 + 124 = 666.

42111455411124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1296838144 + ... + 1296870615.

It is an arithmetic number, because the mean of its divisors is an integer number (1652192480120).

Almost surely, 242111455411124 is an apocalyptic number.

42111455411124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42111455411124 is an abundant number, since it is smaller than the sum of its proper divisors (76846403157516).

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

42111455411124 is a wasteful number, since it uses less digits than its factorization.

42111455411124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593708821 (or 2593708816 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

It can be divided in two parts, 4211145 and 5411124, that added together give a palindrome (9622269).

The spelling of 42111455411124 in words is "forty-two trillion, one hundred eleven billion, four hundred fifty-five million, four hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5412 8118 16236 2593708759 5187417518 7781126277 10374835036 15562252554 23343378831 28530796349 31124505108 46686757662 57061592698 85592389047 93373515324 106342059119 114123185396 171184778094 212684118238 256777167141 319026177357 342369556188 425368236476 513554334282 638052354714 957078532071 1027108668564 1169762650309 1276104709428 1914157064142 2339525300618 3509287950927 3828314128284 4679050601236 7018575901854 10527863852781 14037151803708 21055727705562 42111455411124