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404145642516 = 223711437387059
BaseRepresentation
bin1011110000110001111…
…01010001110000010100
31102122011121022211102020
411320120331101300110
523110142241030031
6505354551413140
741125051165230
oct5703075216024
91378147284366
10404145642516
11146440751a40
12663ab6841b0
132c159494455
14157bc9c95c0
15a7a583c096
hex5e18f51c14

404145642516 has 48 divisors (see below), whose sum is σ = 1175696417280. Its totient is φ = 104972893920.

The previous prime is 404145642497. The next prime is 404145642517. The reversal of 404145642516 is 615246541404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404145642517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218692606 + ... + 218694453.

It is an arithmetic number, because the mean of its divisors is an integer number (24493675360).

Almost surely, 2404145642516 is an apocalyptic number.

It is an amenable number.

404145642516 is an abundant number, since it is smaller than the sum of its proper divisors (771550774764).

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

404145642516 is a wasteful number, since it uses less digits than its factorization.

404145642516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437387084 (or 437387082 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 404145642516 in words is "four hundred four billion, one hundred forty-five million, six hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 437387059 874774118 1312161177 1749548236 2624322354 3061709413 4811257649 5248644708 6123418826 9185128239 9622515298 12246837652 14433772947 18370256478 19245030596 28867545894 33678803543 36740512956 57735091788 67357607086 101036410629 134715214172 202072821258 404145642516