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132304442010000 = 243541337411131979
BaseRepresentation
bin11110000101010010000111…
…010001001010100110010000
3122100110011220001012122122220
4132011102013101022212100
5114320133444123310000
61145215453243501040
736603452260456521
oct3605220721124620
9570404801178586
10132304442010000
1139179aa9388157
1212a095a1b27780
1358a9341cc9830
1424957d7ac2848
15104681ebbb1a0
hex78548744a990

132304442010000 has 1600 divisors, whose sum is σ = 488431520881920. Its totient is φ = 30625136640000.

The previous prime is 132304442009951. The next prime is 132304442010007. The reversal of 132304442010000 is 10244403231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132304442010007) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 66854189011 + ... + 66854190989.

Almost surely, 2132304442010000 is an apocalyptic number.

132304442010000 is a gapful number since it is divisible by the number (10) 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 132304442010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244215760440960).

132304442010000 is an abundant number, since it is smaller than the sum of its proper divisors (356127078871920).

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

132304442010000 is a wasteful number, since it uses less digits than its factorization.

132304442010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 132304442010000 its reverse (10244403231), we get a palindrome (132314686413231).

The spelling of 132304442010000 in words is "one hundred thirty-two trillion, three hundred four billion, four hundred forty-two million, ten thousand".