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14132877013 = 375036431181
BaseRepresentation
bin11010010100110001…
…01001011011010101
31100110221111112120101
431022120221123111
5212421004031023
610254220334101
71010140321033
oct151230513325
940427445511
1014132877013
115aa2705752
1228a50a4331
131442cc4028
14980dc5553
1557ab2e1ad
hex34a6296d5

14132877013 has 16 divisors (see below), whose sum is σ = 14578655616. Its totient is φ = 13690624320.

The previous prime is 14132877007. The next prime is 14132877043. The reversal of 14132877013 is 31077823141.

It is a happy number.

14132877013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14132877013 - 233 = 5542942421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132877043) 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, 11966283 + ... + 11967463.

It is an arithmetic number, because the mean of its divisors is an integer number (911165976).

Almost surely, 214132877013 is an apocalyptic number.

It is an amenable number.

14132877013 is a deficient number, since it is larger than the sum of its proper divisors (445778603).

14132877013 is a wasteful number, since it uses less digits than its factorization.

14132877013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364.

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 14132877013 in words is "fourteen billion, one hundred thirty-two million, eight hundred seventy-seven thousand, thirteen".

Divisors: 1 37 503 643 1181 18611 23791 43697 323429 594043 759383 11966873 21979591 28097171 381969649 14132877013