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1314088165431 = 33371315403569
BaseRepresentation
bin10011000111110101110…
…000100010000000110111
311122121220001201102001000
4103013311300202000313
5133012223032243211
62443403405534343
7163640221052106
oct23076560420067
94577801642030
101314088165431
11467335569418
121928195743b3
1396bc1a651c2
144786065203d
15242b0b71656
hex131f5c22037

1314088165431 has 16 divisors (see below), whose sum is σ = 1999413426400. Its totient is φ = 852381512064.

The previous prime is 1314088165427. The next prime is 1314088165471. The reversal of 1314088165431 is 1345618804131.

1314088165431 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 88 + 16 + 543 + 1 = 666.

It is not a de Polignac number, because 1314088165431 - 22 = 1314088165427 is a prime.

It is a super-2 number, since 2×13140881654312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314088165421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657700786 + ... + 657702783.

It is an arithmetic number, because the mean of its divisors is an integer number (124963339150).

Almost surely, 21314088165431 is an apocalyptic number.

1314088165431 is a deficient number, since it is larger than the sum of its proper divisors (685325260969).

1314088165431 is a wasteful number, since it uses less digits than its factorization.

1314088165431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315403615 (or 1315403609 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1314088165431 in words is "one trillion, three hundred fourteen billion, eighty-eight million, one hundred sixty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 999 1315403569 3946210707 11838632121 35515896363 48669932053 146009796159 438029388477 1314088165431