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31425436431 = 342913378219
BaseRepresentation
bin11101010001000110…
…100001101100001111
310000010002111120120000
4131101012201230033
51003324402431211
622234152055343
72161515542124
oct352106415417
9100102446500
1031425436431
1112366926574
126110394553
132c6a7ab5cc
14174189c74b
15c3dd45656
hex7511a1b0f

31425436431 has 20 divisors (see below), whose sum is σ = 48562938600. Its totient is φ = 20227865616.

The previous prime is 31425436421. The next prime is 31425436447. The reversal of 31425436431 is 13463452413.

31425436431 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 5 + 4 + 3 + 643 + 1 = 666.

It is not a de Polignac number, because 31425436431 - 210 = 31425435407 is a prime.

It is a super-2 number, since 2×314254364312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31425436421) 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 19 ways as a sum of consecutive naturals, for example, 6686761 + ... + 6691458.

It is an arithmetic number, because the mean of its divisors is an integer number (2428146930).

Almost surely, 231425436431 is an apocalyptic number.

31425436431 is a deficient number, since it is larger than the sum of its proper divisors (17137502169).

31425436431 is a wasteful number, since it uses less digits than its factorization.

31425436431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378260 (or 13378251 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 31425436431 its reverse (13463452413), we get a palindrome (44888888844).

It can be divided in two parts, 31425 and 436431, that added together give a square (467856 = 6842).

The spelling of 31425436431 in words is "thirty-one billion, four hundred twenty-five million, four hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 13378219 40134657 120403971 361211913 387968351 1083635739 1163905053 3491715159 10475145477 31425436431