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14137816977 = 33103131151257
BaseRepresentation
bin11010010101010110…
…11111011110010001
31100111021210111221000
431022223133132101
5212423240120402
610254514252213
71010230314204
oct151253373621
940437714830
1014137816977
115aa547a169
1228a6887069
13144403369b
1498190d93b
1557b2a7c1c
hex34aadf791

14137816977 has 64 divisors (see below), whose sum is σ = 21534289920. Its totient is φ = 9165312000.

The previous prime is 14137816967. The next prime is 14137817009. The reversal of 14137816977 is 77961873141.

It is a happy number.

14137816977 is a `hidden beast` number, since 1 + 41 + 378 + 169 + 77 = 666.

It is not a de Polignac number, because 14137816977 - 24 = 14137816961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14137816967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55010833 + ... + 55011089.

It is an arithmetic number, because the mean of its divisors is an integer number (336473280).

Almost surely, 214137816977 is an apocalyptic number.

It is an amenable number.

14137816977 is a deficient number, since it is larger than the sum of its proper divisors (7396472943).

14137816977 is a wasteful number, since it uses less digits than its factorization.

14137816977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The spelling of 14137816977 in words is "fourteen billion, one hundred thirty-seven million, eight hundred sixteen thousand, nine hundred seventy-seven".

Divisors: 1 3 9 27 103 131 151 257 309 393 453 771 927 1179 1359 2313 2781 3537 4077 6939 13493 15553 19781 26471 33667 38807 40479 46659 59343 79413 101001 116421 121437 139977 178029 238239 303003 349263 364311 419931 534087 714717 909009 1047789 2037443 3467701 3997121 5083717 6112329 10403103 11991363 15251151 18336987 31209309 35974089 45753453 55010961 93627927 107922267 137260359 523622851 1570868553 4712605659 14137816977