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14125230135 = 32519314091303
BaseRepresentation
bin11010010011110110…
…11110100000110111
31100110102010001000200
431021323132200313
5212412024331020
610253344411543
71010015321652
oct151173364067
940412101020
1014125230135
115a99362515
1228a2616bb3
131441547553
1497dd94899
1557a11d590
hex349ede837

14125230135 has 96 divisors (see below), whose sum is σ = 26689228800. Its totient is φ = 6884559360.

The previous prime is 14125230131. The next prime is 14125230137. The reversal of 14125230135 is 53103252141.

14125230135 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 523 + 0 + 135 = 666.

It is not a de Polignac number, because 14125230135 - 22 = 14125230131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14125230099 and 14125230108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125230131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10839894 + ... + 10841196.

It is an arithmetic number, because the mean of its divisors is an integer number (278012800).

Almost surely, 214125230135 is an apocalyptic number.

14125230135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14125230135 is a deficient number, since it is larger than the sum of its proper divisors (12563998665).

14125230135 is a wasteful number, since it uses less digits than its factorization.

14125230135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 14125230135 its reverse (53103252141), we get a palindrome (67228482276).

The spelling of 14125230135 in words is "fourteen billion, one hundred twenty-five million, two hundred thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 19 31 45 57 93 95 155 171 279 285 409 465 589 855 1227 1303 1395 1767 2045 2945 3681 3909 5301 6135 6515 7771 8835 11727 12679 18405 19545 23313 24757 26505 38037 38855 40393 58635 63395 69939 74271 114111 116565 121179 123785 190185 201965 222813 240901 349695 363537 371355 532927 570555 605895 722703 767467 1114065 1204505 1598781 1817685 2168109 2302401 2664635 3613515 3837335 4796343 6907203 7993905 10125613 10840545 11512005 16520737 23981715 30376839 34536015 49562211 50628065 82603685 91130517 148686633 151884195 247811055 313894003 455652585 743433165 941682009 1569470015 2825046027 4708410045 14125230135