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3138008463 = 324315153699
BaseRepresentation
bin1011101100001010…
…0011010110001111
322002200201100100200
42323002203112033
522411312232323
61235214224543
7140522426502
oct27302432617
98080640320
103138008463
111370362227
12736ab5153
133b0175255
1421aa8d139
15135755443
hexbb0a358f

3138008463 has 24 divisors (see below), whose sum is σ = 4668892800. Its totient is φ = 2029784400.

The previous prime is 3138008459. The next prime is 3138008477. The reversal of 3138008463 is 3648008313.

It is a happy number.

It is not a de Polignac number, because 3138008463 - 22 = 3138008459 is a prime.

It is a super-2 number, since 2×31380084632 = 19694194227719244738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138007463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31588 + ... + 85286.

It is an arithmetic number, because the mean of its divisors is an integer number (194537200).

Almost surely, 23138008463 is an apocalyptic number.

3138008463 is a deficient number, since it is larger than the sum of its proper divisors (1530884337).

3138008463 is a wasteful number, since it uses less digits than its factorization.

3138008463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53899 (or 53896 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3138008463 is about 56017.9298350091. The cubic root of 3138008463 is about 1464.0346994709.

The spelling of 3138008463 in words is "three billion, one hundred thirty-eight million, eight thousand, four hundred sixty-three".

Divisors: 1 3 9 43 129 151 387 453 1359 6493 19479 53699 58437 161097 483291 2309057 6927171 8108549 20781513 24325647 72976941 348667607 1046002821 3138008463