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14131257 = 37331443
BaseRepresentation
bin110101111010…
…000000111001
3222120221102220
4311322000321
512104200012
61222514253
7231054000
oct65720071
928527386
1014131257
117a82028
124895989
132c0a0ba
141c3bc37
15139208c
hexd7a039

14131257 has 32 divisors (see below), whose sum is σ = 22732800. Its totient is φ = 7796880.

The previous prime is 14131237. The next prime is 14131259. The reversal of 14131257 is 75213141.

14131257 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14131257 - 28 = 14131001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14131259) 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, 31678 + ... + 32120.

It is an arithmetic number, because the mean of its divisors is an integer number (710400).

Almost surely, 214131257 is an apocalyptic number.

It is an amenable number.

14131257 is a deficient number, since it is larger than the sum of its proper divisors (8601543).

14131257 is an equidigital number, since it uses as much as digits as its factorization.

14131257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 14131257 is about 3759.1564213265. The cubic root of 14131257 is about 241.7650943230.

Adding to 14131257 its reverse (75213141), we get a palindrome (89344398).

The spelling of 14131257 in words is "fourteen million, one hundred thirty-one thousand, two hundred fifty-seven".

Divisors: 1 3 7 21 31 49 93 147 217 343 443 651 1029 1329 1519 3101 4557 9303 10633 13733 21707 31899 41199 65121 96131 151949 288393 455847 672917 2018751 4710419 14131257