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14257133671 = 1122329241733
BaseRepresentation
bin11010100011100101…
…01001100001100111
31100210121022102122211
431101302221201213
5213144311234141
610314415504251
71013206431244
oct152162514147
940717272584
1014257133671
116056864600
12291a828087
13146297b591
149936cc5cb
155869c5d81
hex351ca9867

14257133671 has 48 divisors (see below), whose sum is σ = 17009657280. Its totient is φ = 11904076800.

The previous prime is 14257133663. The next prime is 14257133701. The reversal of 14257133671 is 17633175241.

14257133671 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 14257133671 - 23 = 14257133663 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14257133651) 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 47 ways as a sum of consecutive naturals, for example, 19450021 + ... + 19450753.

It is an arithmetic number, because the mean of its divisors is an integer number (354367860).

Almost surely, 214257133671 is an apocalyptic number.

14257133671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14257133671 is a deficient number, since it is larger than the sum of its proper divisors (2752523609).

14257133671 is a wasteful number, since it uses less digits than its factorization.

14257133671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1037 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The spelling of 14257133671 in words is "fourteen billion, two hundred fifty-seven million, one hundred thirty-three thousand, six hundred seventy-one".

Divisors: 1 11 23 29 121 241 253 319 667 733 2651 2783 3509 5543 6989 7337 8063 16859 21257 29161 60973 76879 80707 88693 160747 176653 185449 233827 488911 670703 845669 1768217 1943183 2039939 2572097 4063019 5122937 5378021 19450387 21375013 44693209 56352307 59158231 117827551 491625299 619875377 1296103061 14257133671