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13994812314 = 233737023313
BaseRepresentation
bin11010000100010011…
…11110001110011010
31100010022201010102000
431002021332032122
5212130132443224
610232405221430
71003542641040
oct150211761632
940108633360
1013994812314
115a3178569a
122866a01876
131420513842
1496a926390
1556d95b0c9
hex34227e39a

13994812314 has 32 divisors (see below), whose sum is σ = 35542381440. Its totient is φ = 3998517696.

The previous prime is 13994812313. The next prime is 13994812357. The reversal of 13994812314 is 41321849931.

13994812314 is a `hidden beast` number, since 139 + 9 + 481 + 2 + 31 + 4 = 666.

13994812314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13994812314.

It is not an unprimeable number, because it can be changed into a prime (13994812313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18511279 + ... + 18512034.

It is an arithmetic number, because the mean of its divisors is an integer number (1110699420).

Almost surely, 213994812314 is an apocalyptic number.

13994812314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13994812314 is an abundant number, since it is smaller than the sum of its proper divisors (21547569126).

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

13994812314 is a wasteful number, since it uses less digits than its factorization.

13994812314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37023331 (or 37023325 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 13994812314 in words is "thirteen billion, nine hundred ninety-four million, eight hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 37023313 74046626 111069939 222139878 259163191 333209817 518326382 666419634 777489573 999629451 1554979146 1999258902 2332468719 4664937438 6997406157 13994812314