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40556265504 = 253422461099
BaseRepresentation
bin100101110001010101…
…111000000000100000
310212200102202202022120
4211301111320000200
51131024400444004
630344205304240
72634010366056
oct456125700040
9125612682276
1040556265504
1116221a555a7
127a3a265080
133a943a7851
141d6a40c1d6
1510c57663d9
hex971578020

40556265504 has 24 divisors (see below), whose sum is σ = 106460197200. Its totient is φ = 13518755136.

The previous prime is 40556265469. The next prime is 40556265511.

It is a happy number.

40556265504 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211230454 + ... + 211230645.

It is an arithmetic number, because the mean of its divisors is an integer number (4435841550).

Almost surely, 240556265504 is an apocalyptic number.

It is an amenable number.

40556265504 is an abundant number, since it is smaller than the sum of its proper divisors (65903931696).

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

40556265504 is a wasteful number, since it uses less digits than its factorization.

40556265504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422461112 (or 422461104 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 40556265504 in words is "forty billion, five hundred fifty-six million, two hundred sixty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 422461099 844922198 1267383297 1689844396 2534766594 3379688792 5069533188 6759377584 10139066376 13518755168 20278132752 40556265504