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14317319025 = 345226592
BaseRepresentation
bin11010101010110000…
…01111001101110001
31100221210120011110000
431111120033031301
5213310213202100
610324405500213
71014540126612
oct152530171561
940853504400
1014317319025
116087831769
122936a11669
131472291a09
1499b6b7c09
1558be13900
hex35560f371

14317319025 has 45 divisors (see below), whose sum is σ = 26530601691. Its totient is φ = 7633031760.

The previous prime is 14317319011. The next prime is 14317319047. The reversal of 14317319025 is 52091371341.

The square root of 14317319025 is 119655.

It is a perfect power (a square), and thus also a powerful number.

14317319025 is a `hidden beast` number, since 1 + 4 + 317 + 319 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5154234849 + 9163084176 = 71793^2 + 95724^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 14317319025 - 211 = 14317316977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5383146 + ... + 5385804.

Almost surely, 214317319025 is an apocalyptic number.

14317319025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14317319025 is the 119655-th square number.

14317319025 is the 59828-th centered octagonal number.

It is an amenable number.

14317319025 is a deficient number, since it is larger than the sum of its proper divisors (12213282666).

14317319025 is an frugal number, since it uses more digits than its factorization.

14317319025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 14317319025 by its sum of digits (36), we get a square (515423484900 = 7179302).

The spelling of 14317319025 in words is "fourteen billion, three hundred seventeen million, three hundred nineteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2659 7977 13295 23931 39885 66475 71793 119655 199425 215379 358965 598275 1076895 1794825 5384475 7070281 21210843 35351405 63632529 106054215 176757025 190897587 318162645 530271075 572692761 954487935 1590813225 2863463805 4772439675 14317319025