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40637006131 = 3741125921277
BaseRepresentation
bin100101110110001001…
…111000000100110011
310212220001200210122011
4211312021320010303
51131211033144011
630400212023351
72636010565351
oct456611700463
9125801623564
1040637006131
1116263592197
127a61301b57
133aa8037077
141d770287d1
1510cc8b4621
hex976278133

40637006131 has 16 divisors (see below), whose sum is σ = 42789206880. Its totient is φ = 38541899520.

The previous prime is 40637006101. The next prime is 40637006147. The reversal of 40637006131 is 13160073604.

It is a de Polignac number, because none of the positive numbers 2k-40637006131 is a prime.

It is a super-2 number, since 2×406370061312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40637006093 and 40637006102.

It is not an unprimeable number, because it can be changed into a prime (40637006101) 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 15 ways as a sum of consecutive naturals, for example, 1899265 + ... + 1920541.

It is an arithmetic number, because the mean of its divisors is an integer number (2674325430).

Almost surely, 240637006131 is an apocalyptic number.

40637006131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

40637006131 is a deficient number, since it is larger than the sum of its proper divisors (2152200749).

40637006131 is a wasteful number, since it uses less digits than its factorization.

40637006131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22614.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 40637006131 its reverse (13160073604), we get a palindrome (53797079735).

The spelling of 40637006131 in words is "forty billion, six hundred thirty-seven million, six thousand, one hundred thirty-one".

Divisors: 1 37 41 1259 1517 21277 46583 51619 787249 872357 1909903 26787743 32277209 991146491 1098297463 40637006131