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14387913945 = 3251201266221
BaseRepresentation
bin11010110011001011…
…00010010011011001
31101010201101202110200
431121211202103121
5213431301221240
610335410532413
71016355151656
oct153145422331
941121352420
1014387913945
116113669779
122956597109
131483aab262
149a6c12c2d
1559320a930
hex3599624d9

14387913945 has 24 divisors (see below), whose sum is σ = 24959909832. Its totient is φ = 7667136000.

The previous prime is 14387913937. The next prime is 14387913959. The reversal of 14387913945 is 54931978341.

14387913945 is a `hidden beast` number, since 1 + 438 + 79 + 139 + 4 + 5 = 666.

14387913945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 914276169 + 13473637776 = 30237^2 + 116076^2 .

It is not a de Polignac number, because 14387913945 - 23 = 14387913937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14387913891 and 14387913900.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79066 + ... + 187155.

It is an arithmetic number, because the mean of its divisors is an integer number (1039996243).

Almost surely, 214387913945 is an apocalyptic number.

14387913945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14387913945 is a deficient number, since it is larger than the sum of its proper divisors (10571995887).

14387913945 is a wasteful number, since it uses less digits than its factorization.

14387913945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267433 (or 267430 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 14387913945 in words is "fourteen billion, three hundred eighty-seven million, nine hundred thirteen thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 1201 3603 6005 10809 18015 54045 266221 798663 1331105 2395989 3993315 11979945 319731421 959194263 1598657105 2877582789 4795971315 14387913945