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8406104031 = 3213299923957
BaseRepresentation
bin1111101010000101…
…01111011111011111
3210200211120022220100
413311002233133133
5114203430312111
63510043552143
7415211463633
oct76502573737
923624508810
108406104031
113624032416
12176722b653
13a3c710b70
1459a5badc3
15342eb7756
hex1f50af7df

8406104031 has 24 divisors (see below), whose sum is σ = 13081068000. Its totient is φ = 5171046336.

The previous prime is 8406104027. The next prime is 8406104033. The reversal of 8406104031 is 1304016048.

8406104031 is a `hidden beast` number, since 8 + 4 + 0 + 610 + 40 + 3 + 1 = 666.

It is not a de Polignac number, because 8406104031 - 22 = 8406104027 is a prime.

It is a super-2 number, since 2×84061040312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8406103986 and 8406104004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8406104033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338905 + ... + 362861.

It is an arithmetic number, because the mean of its divisors is an integer number (545044500).

Almost surely, 28406104031 is an apocalyptic number.

8406104031 is a deficient number, since it is larger than the sum of its proper divisors (4674963969).

8406104031 is a wasteful number, since it uses less digits than its factorization.

8406104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26975 (or 26972 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8406104031 is about 91684.8080709122. The cubic root of 8406104031 is about 2033.2849844785.

The spelling of 8406104031 in words is "eight billion, four hundred six million, one hundred four thousand, thirty-one".

Divisors: 1 3 9 13 39 117 2999 8997 23957 26991 38987 71871 116961 215613 311441 350883 934323 2802969 71847043 215541129 646623387 934011559 2802034677 8406104031