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14315214645 = 34547216001
BaseRepresentation
bin11010101010100000…
…01101011100110101
31100221122121020210000
431111100031130311
5213304143332040
610324252421513
71014513213444
oct152520153465
940848536700
1014315214645
116086624706
122936177899
131471a05c14
1499b2cad5b
1558bb4a130
hex35540d735

14315214645 has 60 divisors (see below), whose sum is σ = 26220589164. Its totient is φ = 7471872000.

The previous prime is 14315214623. The next prime is 14315214659. The reversal of 14315214645 is 54641251341.

14315214645 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 5 + 2 + 1 + 4 + 645 = 666.

14315214645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8897960241 + 5417254404 = 94329^2 + 73602^2 .

It is not a de Polignac number, because 14315214645 - 210 = 14315213621 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 886645 + ... + 902645.

Almost surely, 214315214645 is an apocalyptic number.

14315214645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14315214645 is a deficient number, since it is larger than the sum of its proper divisors (11905374519).

14315214645 is an equidigital number, since it uses as much as digits as its factorization.

14315214645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16112 (or 16056 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 14315214645 its reverse (54641251341), we get a palindrome (68956465986).

The spelling of 14315214645 in words is "fourteen billion, three hundred fifteen million, two hundred fourteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 47 81 135 141 235 405 423 705 1269 2115 2209 3807 6345 6627 11045 16001 19035 19881 33135 48003 59643 80005 99405 144009 178929 240015 298215 432027 720045 752047 894645 1296081 2160135 2256141 3760235 6480405 6768423 11280705 20305269 33842115 35346209 60915807 101526345 106038627 176731045 304579035 318115881 530193135 954347643 1590579405 2863042929 4771738215 14315214645