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14447082186131 = 764722391424701
BaseRepresentation
bin1101001000111011100100…
…1100111010010110010011
31220011010102222221012012212
43102032321030322112103
53343200111014424011
650420521541542335
73020524110261260
oct322167114722623
956133388835185
1014447082186131
11466aa78294311
121753b367149ab
1380a47a994c0a
1437d357630267
151a0c05e2e08b
hexd23b933a593

14447082186131 has 16 divisors (see below), whose sum is σ = 16543867576320. Its totient is φ = 12358543053600.

The previous prime is 14447082186127. The next prime is 14447082186157. The reversal of 14447082186131 is 13168128074441.

It is a cyclic number.

It is not a de Polignac number, because 14447082186131 - 22 = 14447082186127 is a prime.

It is a super-2 number, since 2×144470821861312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14447082186131.

It is not an unprimeable number, because it can be changed into a prime (14447082186431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9428081 + ... + 10852781.

It is an arithmetic number, because the mean of its divisors is an integer number (1033991723520).

Almost surely, 214447082186131 is an apocalyptic number.

14447082186131 is a deficient number, since it is larger than the sum of its proper divisors (2096785390189).

14447082186131 is a wasteful number, since it uses less digits than its factorization.

14447082186131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427594.

The product of its (nonzero) digits is 1032192, while the sum is 50.

The spelling of 14447082186131 in words is "fourteen trillion, four hundred forty-seven billion, eighty-two million, one hundred eighty-six thousand, one hundred thirty-one".

Divisors: 1 7 647 2239 4529 15673 1424701 1448633 9972907 10140431 921781547 3189905539 6452470829 22329338773 2063868883733 14447082186131