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40290955668 = 22325931887341
BaseRepresentation
bin100101100001100001…
…110011000110010100
310211222221112121122100
4211201201303012110
51130003441040133
630302011002100
72624306321025
oct454141630624
9124887477570
1040290955668
11160a6215377
127985439330
133a51434792
141d430a8c4c
1510ac30ae13
hex961873194

40290955668 has 36 divisors (see below), whose sum is σ = 102018384468. Its totient is φ = 13407663360.

The previous prime is 40290955637. The next prime is 40290955673. The reversal of 40290955668 is 86655909204.

It is a happy number.

40290955668 is a `hidden beast` number, since 4 + 0 + 29 + 0 + 9 + 556 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29772812304 + 10518143364 = 172548^2 + 102558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×402909556682 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922323 + ... + 965018.

It is an arithmetic number, because the mean of its divisors is an integer number (2833844013).

Almost surely, 240290955668 is an apocalyptic number.

It is an amenable number.

40290955668 is an abundant number, since it is smaller than the sum of its proper divisors (61727428800).

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

40290955668 is a wasteful number, since it uses less digits than its factorization.

40290955668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887944 (or 1887939 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 40290955668 in words is "forty billion, two hundred ninety million, nine hundred fifty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 593 1186 1779 2372 3558 5337 7116 10674 21348 1887341 3774682 5662023 7549364 11324046 16986069 22648092 33972138 67944276 1119193213 2238386426 3357579639 4476772852 6715159278 10072738917 13430318556 20145477834 40290955668