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42004160406 = 232131791002821
BaseRepresentation
bin100111000111101001…
…001001111110010110
311000102100020102201200
4213013221021332112
51142011031113111
631144010533330
73014621321025
oct470751117626
9130370212650
1042004160406
11168a528745a
128183137246
133c653554b0
14206682a8bc
15115c91c256
hex9c7a49f96

42004160406 has 48 divisors (see below), whose sum is σ = 98557346160. Its totient is φ = 12852141120.

The previous prime is 42004160381. The next prime is 42004160413. The reversal of 42004160406 is 60406140024.

42004160406 is a `hidden beast` number, since 4 + 200 + 416 + 0 + 40 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42004160406.

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, 459525 + ... + 543296.

It is an arithmetic number, because the mean of its divisors is an integer number (2053278045).

Almost surely, 242004160406 is an apocalyptic number.

42004160406 is an abundant number, since it is smaller than the sum of its proper divisors (56553185754).

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

42004160406 is a wasteful number, since it uses less digits than its factorization.

42004160406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003021 (or 1003018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42004160406 in words is "forty-two billion, four million, one hundred sixty thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 179 234 358 537 1074 1611 2327 3222 4654 6981 13962 20943 41886 1002821 2005642 3008463 6016926 9025389 13036673 18050778 26073346 39110019 78220038 117330057 179504959 234660114 359009918 538514877 1077029754 1615544631 2333564467 3231089262 4667128934 7000693401 14001386802 21002080203 42004160406