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13999431 = 329374349
BaseRepresentation
bin110101011001…
…110101000111
3222100020121110
4311121311013
512040440211
61220020103
7226664445
oct65316507
928306543
1013999431
1179a1a86
124831633
132b920b4
141c05b95
151367ea6
hexd59d47

13999431 has 16 divisors (see below), whose sum is σ = 19836000. Its totient is φ = 8765568.

The previous prime is 13999423. The next prime is 13999441. The reversal of 13999431 is 13499931.

13999431 = 892 + 902 + ... + 3492.

13999431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13999431 - 23 = 13999423 is a prime.

It is a super-3 number, since 3×139994313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13999431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13999421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045 + ... + 5393.

It is an arithmetic number, because the mean of its divisors is an integer number (1239750).

Almost surely, 213999431 is an apocalyptic number.

13999431 is a deficient number, since it is larger than the sum of its proper divisors (5836569).

13999431 is a wasteful number, since it uses less digits than its factorization.

13999431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418.

The product of its digits is 26244, while the sum is 39.

The square root of 13999431 is about 3741.5813501780. The cubic root of 13999431 is about 241.0109612044.

Subtracting from 13999431 its reverse (13499931), we obtain a triangular number (499500 = T999).

The spelling of 13999431 in words is "thirteen million, nine hundred ninety-nine thousand, four hundred thirty-one".

Divisors: 1 3 29 37 87 111 1073 3219 4349 13047 126121 160913 378363 482739 4666477 13999431