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132144324231000 = 23353175943916359
BaseRepresentation
bin11110000010111100111111…
…100000010011111101011000
3122022212212121011100201020210
4132002330333200103331120
5114310023034000343000
61145014133044051120
736556053354012354
oct3602747740237530
9568785534321223
10132144324231000
113911810303a984
12129a2556993aa0
135897205532bc3
14248bb686b0464
15104259cc16350
hex782f3f813f58

132144324231000 has 256 divisors, whose sum is σ = 443941699968000. Its totient is φ = 32603504179200.

The previous prime is 132144324230993. The next prime is 132144324231001. The reversal of 132144324231000 is 132423441231.

It is a super-2 number, since 2×1321443242310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132144324231001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18949180 + ... + 24967179.

It is an arithmetic number, because the mean of its divisors is an integer number (1734147265500).

Almost surely, 2132144324231000 is an apocalyptic number.

132144324231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132144324231000 is an abundant number, since it is smaller than the sum of its proper divisors (311797375737000).

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

132144324231000 is a wasteful number, since it uses less digits than its factorization.

132144324231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43916459 (or 43916445 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 132144324231000 its reverse (132423441231), we get a palindrome (132276747672231).

The spelling of 132144324231000 in words is "one hundred thirty-two trillion, one hundred forty-four billion, three hundred twenty-four million, two hundred thirty-one thousand".