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14217939121 = 432472592
BaseRepresentation
bin11010011110111010…
…01000100010110001
31100200212120010211211
431033131020202301
5213104243022441
610310455440121
71012222326361
oct151735104261
940625503754
1014217939121
116036724111
122909686041
131457807539
1498c4089a1
15583332a81
hex34f7488b1

14217939121 has 27 divisors (see below), whose sum is σ = 15128926041. Its totient is φ = 13361445384.

The previous prime is 14217939119. The next prime is 14217939143. The reversal of 14217939121 is 12193971241.

The square root of 14217939121 is 119239.

It is a perfect power (a square), and thus also a powerful number.

14217939121 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 14217939121 - 21 = 14217939119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14217939101) 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 26 ways as a sum of consecutive naturals, for example, 240981990 + ... + 240982048.

Almost surely, 214217939121 is an apocalyptic number.

14217939121 is the 119239-th square number.

14217939121 is the 59620-th centered octagonal number.

It is an amenable number.

14217939121 is a deficient number, since it is larger than the sum of its proper divisors (910986920).

14217939121 is an frugal number, since it uses more digits than its factorization.

14217939121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The spelling of 14217939121 in words is "fourteen billion, two hundred seventeen million, nine hundred thirty-nine thousand, one hundred twenty-one".

Divisors: 1 43 47 59 1849 2021 2209 2537 2773 3481 86903 94987 109091 119239 130331 149683 163607 4084441 5127277 5604233 6436369 7035101 7689529 240982019 302509343 330649747 14217939121