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114459001137 = 321310110790523
BaseRepresentation
bin110101010011001001…
…0011100000100110001
3101221102211210201000100
41222212102130010301
53333403001014022
6124325353343013
711161254312525
oct1524622340461
9357384721010
10114459001137
11445a6138718
121a224107a69
13aa4124a310
14577b499d85
152e9d7d81ac
hex1aa649c131

114459001137 has 48 divisors (see below), whose sum is σ = 181492653888. Its totient is φ = 69086390400.

The previous prime is 114459001127. The next prime is 114459001141. The reversal of 114459001137 is 731100954411.

114459001137 is a `hidden beast` number, since 11 + 44 + 590 + 0 + 1 + 13 + 7 = 666.

It is not a de Polignac number, because 114459001137 - 210 = 114459000113 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114459001117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219158 + ... + 1309680.

It is an arithmetic number, because the mean of its divisors is an integer number (3781096956).

Almost surely, 2114459001137 is an apocalyptic number.

It is an amenable number.

114459001137 is a deficient number, since it is larger than the sum of its proper divisors (67033652751).

114459001137 is a wasteful number, since it uses less digits than its factorization.

114459001137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90750 (or 90747 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 114459001137 its reverse (731100954411), we get a palindrome (845559955548).

The spelling of 114459001137 in words is "one hundred fourteen billion, four hundred fifty-nine million, one thousand, one hundred thirty-seven".

Divisors: 1 3 9 13 39 101 107 117 303 321 909 963 1313 1391 3939 4173 10807 11817 12519 32421 90523 97263 140491 271569 421473 814707 1176799 1264419 3530397 9142823 9685961 10591191 27428469 29057883 82285407 87173649 118856699 125917493 356570097 377752479 978282061 1069710291 1133257437 2934846183 8804538549 12717666793 38153000379 114459001137