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14135034096 = 2432743132113
BaseRepresentation
bin11010010101000001…
…11000000011110000
31100111002120010112100
431022200320003300
5212422032042341
610254334500400
71010164543641
oct151240700360
940432503470
1014135034096
115aa3949367
1228a5964700
13144359ab01
149813c76c8
1557ae083b6
hex34a8380f0

14135034096 has 60 divisors (see below), whose sum is σ = 39612004848. Its totient is φ = 4705300992.

The previous prime is 14135034049. The next prime is 14135034103. The reversal of 14135034096 is 69043053141.

14135034096 is a `hidden beast` number, since 14 + 13 + 503 + 40 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14135034096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40936 + ... + 173048.

Almost surely, 214135034096 is an apocalyptic number.

14135034096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14135034096 is an abundant number, since it is smaller than the sum of its proper divisors (25476970752).

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

14135034096 is a wasteful number, since it uses less digits than its factorization.

14135034096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132870 (or 132861 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 14135034096 in words is "fourteen billion, one hundred thirty-five million, thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 743 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 26748 35664 53496 106992 132113 264226 396339 528452 792678 1056904 1189017 1585356 2113808 2378034 3170712 4756068 6341424 9512136 19024272 98159959 196319918 294479877 392639836 588959754 785279672 883439631 1177919508 1570559344 1766879262 2355839016 3533758524 4711678032 7067517048 14135034096