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132431423140 = 22556569117053
BaseRepresentation
bin111101101010110000…
…1110010011010100100
3110122211101002100010201
41323111201302122210
54132204421020030
6140501013000244
712365526344362
oct1732541623244
9418741070121
10132431423140
11511890a4345
12217bb023084
13c646843153
1465a4388632
1536a15452ca
hex1ed58726a4

132431423140 has 24 divisors (see below), whose sum is σ = 278113280760. Its totient is φ = 52971180288.

The previous prime is 132431423107. The next prime is 132431423221. The reversal of 132431423140 is 41324134231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77029561764 + 55401861376 = 277542^2 + 235376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132431423099 and 132431423108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1072854 + ... + 1189906.

It is an arithmetic number, because the mean of its divisors is an integer number (11588053365).

Almost surely, 2132431423140 is an apocalyptic number.

132431423140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132431423140 is an abundant number, since it is smaller than the sum of its proper divisors (145681857620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132431423140 is a wasteful number, since it uses less digits than its factorization.

132431423140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173631 (or 173629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132431423140 its reverse (41324134231), we get a palindrome (173755557371).

The spelling of 132431423140 in words is "one hundred thirty-two billion, four hundred thirty-one million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 56569 113138 117053 226276 234106 282845 468212 565690 585265 1131380 1170530 2341060 6621571157 13243142314 26486284628 33107855785 66215711570 132431423140