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14097683131 = 73377315217
BaseRepresentation
bin11010010000100100…
…11001001010111011
31100101111021111122021
431020102121022323
5212333001330011
610250522135311
71006232221000
oct151022311273
940344244567
1014097683131
115a84857aa4
122895351537
131438920c4c
1497a4638a7
155779cb471
hex3484992bb

14097683131 has 32 divisors (see below), whose sum is σ = 17117206400. Its totient is φ = 11595322368.

The previous prime is 14097683129. The next prime is 14097683183. The reversal of 14097683131 is 13138679041.

It is not a de Polignac number, because 14097683131 - 21 = 14097683129 is a prime.

It is a super-4 number, since 4×140976831314 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14097683111) 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, 918835 + ... + 934051.

It is an arithmetic number, because the mean of its divisors is an integer number (534912700).

Almost surely, 214097683131 is an apocalyptic number.

14097683131 is a deficient number, since it is larger than the sum of its proper divisors (3019523269).

14097683131 is an equidigital number, since it uses as much as digits as its factorization.

14097683131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15348 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 14097683131 in words is "fourteen billion, ninety-seven million, six hundred eighty-three thousand, one hundred thirty-one".

Divisors: 1 7 37 49 73 259 343 511 1813 2701 3577 12691 15217 18907 25039 106519 132349 563029 745633 926443 1110841 3941203 5219431 7775887 27588421 41101117 54431209 193118947 287707819 381018463 2013954733 14097683131