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40424664456 = 23321124640113
BaseRepresentation
bin100101101001011111…
…110110110110001000
310212100021010201121200
4211221133312312020
51130242203230311
630323144504200
72630521656411
oct455137666610
9125307121550
1040424664456
111616473a800
127a0217b060
133a7304b3c7
141d56b52808
1510b8e1d556
hex9697f6d88

40424664456 has 72 divisors (see below), whose sum is σ = 120341356590. Its totient is φ = 12249895680.

The previous prime is 40424664433. The next prime is 40424664493. The reversal of 40424664456 is 65446642404.

It can be written as a sum of positive squares in only one way, i.e., 39177868356 + 1246796100 = 197934^2 + 35310^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2311345 + ... + 2328768.

Almost surely, 240424664456 is an apocalyptic number.

It is an amenable number.

40424664456 is an abundant number, since it is smaller than the sum of its proper divisors (79916692134).

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

40424664456 is a wasteful number, since it uses less digits than its factorization.

40424664456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640147 (or 4640129 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 40424664456 in words is "forty billion, four hundred twenty-four million, six hundred sixty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 4640113 9280226 13920339 18560452 27840678 37120904 41761017 51041243 55681356 83522034 102082486 111362712 153123729 167044068 204164972 306247458 334088136 408329944 459371187 561453673 612494916 918742374 1122907346 1224989832 1684361019 1837484748 2245814692 3368722038 3674969496 4491629384 5053083057 6737444076 10106166114 13474888152 20212332228 40424664456