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314132231413 = 711131013107113
BaseRepresentation
bin1001001001000111011…
…11010111010011110101
31010000211102012202201101
410210203233113103311
520121320322401123
6400151011530101
731460326624240
oct4444357272365
91100742182641
10314132231413
1111124a5009a0
1250a6a2b9931
1323812957b10
14112bddda257
158288211aad
hex4923bd74f5

314132231413 has 32 divisors (see below), whose sum is σ = 425948044032. Its totient is φ = 223712064000.

The previous prime is 314132231351. The next prime is 314132231447.

314132231413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314132231413 - 213 = 314132223221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314132231113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452456 + ... + 1654657.

It is an arithmetic number, because the mean of its divisors is an integer number (13310876376).

Almost surely, 2314132231413 is an apocalyptic number.

It is an amenable number.

314132231413 is a deficient number, since it is larger than the sum of its proper divisors (111815812619).

314132231413 is a wasteful number, since it uses less digits than its factorization.

314132231413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107245.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 314132 and 231413, that added together give a palindrome (545545).

The spelling of 314132231413 in words is "three hundred fourteen billion, one hundred thirty-two million, two hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 7 11 13 77 91 101 143 707 1001 1111 1313 7777 9191 14443 101101 3107113 21749791 34178243 40392469 239247701 282747283 313818413 444317159 2196728891 3110220113 3452002543 4079639369 24164017801 28557475583 44876033059 314132231413