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14130402013 = 7131972573067
BaseRepresentation
bin11010010100011110…
…01101001011011101
31100110202211210111201
431022033031023131
5212414340331023
610254051315501
71010110302220
oct151217151335
940422753451
1014130402013
115aa12751a2
1228a42abb91
131442638630
1498093d5b7
1557a7e0bad
hex34a3cd2dd

14130402013 has 32 divisors (see below), whose sum is σ = 17553279744. Its totient is φ = 11076452352.

The previous prime is 14130401983. The next prime is 14130402017. The reversal of 14130402013 is 31020403141.

It is not a de Polignac number, because 14130402013 - 225 = 14096847581 is a prime.

It is a super-2 number, since 2×141304020132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130402017) by changing a digit.

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, 4605706 + ... + 4608772.

It is an arithmetic number, because the mean of its divisors is an integer number (548539992).

Almost surely, 214130402013 is an apocalyptic number.

14130402013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14130402013 is a deficient number, since it is larger than the sum of its proper divisors (3422877731).

14130402013 is a wasteful number, since it uses less digits than its factorization.

14130402013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 14130402013 its reverse (31020403141), we get a palindrome (45150805154).

The spelling of 14130402013 in words is "fourteen billion, one hundred thirty million, four hundred two thousand, thirteen".

Divisors: 1 7 13 91 197 257 1379 1799 2561 3067 3341 17927 21469 23387 39871 50629 279097 354403 604199 658177 788219 4229393 4607239 5517533 7854587 10246847 54982109 71727929 155279143 1086954001 2018628859 14130402013