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132241224024 = 233771383059
BaseRepresentation
bin111101100101000110…
…0001111000101011000
3110122100010012020000000
41323022030033011120
54131312223132044
6140430100213000
712361026600120
oct1731214170530
9418303166000
10132241224024
11510a07a5998
122176739a160
13c61630abb0
146586dd7c80
15368e9c4d69
hex1eca30f158

132241224024 has 256 divisors, whose sum is σ = 457693824000. Its totient is φ = 34876386432.

The previous prime is 132241224023. The next prime is 132241224077. The reversal of 132241224024 is 420422142231.

It is a happy number.

132241224024 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 412 + 240 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132241224023) 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, 1550607 + ... + 1633665.

It is an arithmetic number, because the mean of its divisors is an integer number (1787866500).

Almost surely, 2132241224024 is an apocalyptic number.

132241224024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132241224024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228846912000).

132241224024 is an abundant number, since it is smaller than the sum of its proper divisors (325452599976).

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

132241224024 is an equidigital number, since it uses as much as digits as its factorization.

132241224024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83106 (or 83084 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 132241224024 its reverse (420422142231), we get a palindrome (552663366255).

The spelling of 132241224024 in words is "one hundred thirty-two billion, two hundred forty-one million, two hundred twenty-four thousand, twenty-four".