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14106757131 = 3217117178737
BaseRepresentation
bin11010010001101010…
…00000100000001011
31100102010100111211100
431020311000200023
5212342312212011
610251444432443
71006402312545
oct151065004013
940363314740
1014106757131
115a89995475
1228983a8723
13143a77a18c
1497b746695
155786bed56
hex348d4080b

14106757131 has 24 divisors (see below), whose sum is σ = 21593739024. Its totient is φ = 8843627520.

The previous prime is 14106757109. The next prime is 14106757153. The reversal of 14106757131 is 13175760141.

It is a happy number.

14106757131 is a `hidden beast` number, since 1 + 410 + 67 + 57 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (14106757109) and next prime (14106757153).

It is not a de Polignac number, because 14106757131 - 29 = 14106756619 is a prime.

It is a super-3 number, since 3×141067571313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14106757531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139795 + ... + 218531.

It is an arithmetic number, because the mean of its divisors is an integer number (899739126).

Almost surely, 214106757131 is an apocalyptic number.

14106757131 is a deficient number, since it is larger than the sum of its proper divisors (7486981893).

14106757131 is a wasteful number, since it uses less digits than its factorization.

14106757131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79931 (or 79928 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 14106757131 in words is "fourteen billion, one hundred six million, seven hundred fifty-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 17 51 153 1171 3513 10539 19907 59721 78737 179163 236211 708633 1338529 4015587 12046761 92201027 276603081 829809243 1567417459 4702252377 14106757131