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13391986314 = 2371794314133
BaseRepresentation
bin11000111100011100…
…10111111010001010
31021120022101101121010
430132032113322022
5204411322030224
610052512424350
7652603001610
oct143616277212
937508341533
1013391986314
115752477593
122718b480b6
131355668875
149108456b0
15535a80e29
hex31e397e8a

13391986314 has 64 divisors (see below), whose sum is σ = 30860144640. Its totient is φ = 3795159360.

The previous prime is 13391986271. The next prime is 13391986337. The reversal of 13391986314 is 41368919331.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3238192 + ... + 3242324.

It is an arithmetic number, because the mean of its divisors is an integer number (482189760).

Almost surely, 213391986314 is an apocalyptic number.

13391986314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13391986314 is an abundant number, since it is smaller than the sum of its proper divisors (17468158326).

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

13391986314 is a wasteful number, since it uses less digits than its factorization.

13391986314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755.

The product of its digits is 419904, while the sum is 48.

The spelling of 13391986314 in words is "thirteen billion, three hundred ninety-one million, nine hundred eighty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 179 358 431 537 862 1074 1253 1293 2506 2586 3017 3759 4133 6034 7518 8266 9051 12399 18102 24798 28931 57862 77149 86793 154298 173586 231447 462894 540043 739807 1080086 1479614 1620129 1781323 2219421 3240258 3562646 4438842 5178649 5343969 10357298 10687938 12469261 15535947 24938522 31071894 37407783 74815566 318856817 637713634 956570451 1913140902 2231997719 4463995438 6695993157 13391986314