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14447813668137 = 341109405139703
BaseRepresentation
bin1101001000111110010011…
…0011010010110100101001
31220011012022222100022220000
43102033210303102310221
53343203110244340022
650421122312053213
73020551201623003
oct322174463226451
956135288308800
1014447813668137
1146703131865a3
1217540bb694209
1380a5663a79c5
1437d3c6841373
151a0c4a26e6ac
hexd23e4cd2d29

14447813668137 has 40 divisors (see below), whose sum is σ = 21607874460480. Its totient is φ = 9620572759200.

The previous prime is 14447813668133. The next prime is 14447813668151. The reversal of 14447813668137 is 73186631874441.

It is a happy number.

14447813668137 is a `hidden beast` number, since 1 + 4 + 447 + 81 + 3 + 6 + 6 + 81 + 37 = 666.

14447813668137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14447813668137 - 22 = 14447813668133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14447813668133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 363877428 + ... + 363917130.

It is an arithmetic number, because the mean of its divisors is an integer number (540196861512).

Almost surely, 214447813668137 is an apocalyptic number.

It is an amenable number.

14447813668137 is a deficient number, since it is larger than the sum of its proper divisors (7160060792343).

14447813668137 is a wasteful number, since it uses less digits than its factorization.

14447813668137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44875 (or 44866 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 14447813668137 in words is "fourteen trillion, four hundred forty-seven billion, eight hundred thirteen million, six hundred sixty-eight thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 81 1109 3327 4051 9981 12153 29943 36459 39703 89829 109377 119109 328131 357327 1071981 3215943 4492559 13477677 40433031 44030627 121299093 132091881 160836853 363897279 396275643 482510559 1188826929 1447531677 3566480787 4342595031 13027785093 178368069977 535104209931 1605312629793 4815937889379 14447813668137