Search a number
-
+
132132114442431 = 32173132759132879
BaseRepresentation
bin11110000010110001100111…
…101111101010100010111111
3122022211201002020111012002100
4132002301213233222202333
5114304323032244124211
61145004353322000143
736555141654352215
oct3602614757524277
9568751066435070
10132132114442431
1139112a07a20024
12129a0109946053
13589600aa9783c
14248b32ac82cb5
1510420d5d56156
hex782c67bea8bf

132132114442431 has 24 divisors (see below), whose sum is σ = 202730047490880. Its totient is φ = 82641547961856.

The previous prime is 132132114442387. The next prime is 132132114442457. The reversal of 132132114442431 is 134244411231231.

132132114442431 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 211 + 4 + 4 + 4 + 2 + 431 = 666.

It is not a de Polignac number, because 132132114442431 - 210 = 132132114441407 is a prime.

It is a super-2 number, since 2×1321321144424312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132114442481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379518551 + ... + 1379614328.

It is an arithmetic number, because the mean of its divisors is an integer number (8447085312120).

Almost surely, 2132132114442431 is an apocalyptic number.

132132114442431 is a deficient number, since it is larger than the sum of its proper divisors (70597933048449).

132132114442431 is a wasteful number, since it uses less digits than its factorization.

132132114442431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759133215 (or 2759133212 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 132132114442431 its reverse (134244411231231), we get a palindrome (266376525673662).

The spelling of 132132114442431 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, one hundred fourteen million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 17 51 153 313 939 2817 5321 15963 47889 2759132879 8277398637 24832195911 46905258943 140715776829 422147330487 863608591127 2590825773381 7772477320143 14681346049159 44044038147477 132132114442431