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14130332424 = 23321335334273
BaseRepresentation
bin11010010100011101…
…11100001100001000
31100110202201021001100
431022032330030020
5212414331114144
610254050021400
71010106562305
oct151216741410
940422637040
1014130332424
115aa122798a
1228a4277860
131442612a60
149809220ac
1557a7ca269
hex34a3bc308

14130332424 has 96 divisors (see below), whose sum is σ = 41234782680. Its totient is φ = 4345546752.

The previous prime is 14130332407. The next prime is 14130332431. The reversal of 14130332424 is 42423303141.

14130332424 is a `hidden beast` number, since 1 + 413 + 0 + 3 + 3 + 242 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10461607524 + 3668724900 = 102282^2 + 60570^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3304752 + ... + 3309024.

Almost surely, 214130332424 is an apocalyptic number.

It is an amenable number.

14130332424 is an abundant number, since it is smaller than the sum of its proper divisors (27104450256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14130332424 is a wasteful number, since it uses less digits than its factorization.

14130332424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14130332424 its reverse (42423303141), we get a palindrome (56553635565).

The spelling of 14130332424 in words is "fourteen billion, one hundred thirty million, three hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3533 4273 7066 8546 10599 12819 14132 17092 21198 25638 28264 31797 34184 38457 42396 45929 51276 55549 63594 76914 84792 91858 102552 111098 127188 137787 153828 166647 183716 222196 254376 275574 307656 333294 367432 413361 444392 499941 551148 666588 826722 999882 1102296 1333176 1653444 1999764 3306888 3999528 15096509 30193018 45289527 60386036 90579054 120772072 135868581 181158108 196254617 271737162 362316216 392509234 543474324 588763851 785018468 1086948648 1177527702 1570036936 1766291553 2355055404 3532583106 4710110808 7065166212 14130332424