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131447320032 = 25372172956681
BaseRepresentation
bin111101001101011011…
…1101110110111100000
3110120021210022201110110
41322122313232313200
54123201003220112
6140215220131320
712332246533200
oct1723267566740
9416253281413
10131447320032
1150823649096
1221585536b40
13c51a9b0912
14650d7b8400
153644e5413c
hex1e9adeede0

131447320032 has 288 divisors, whose sum is σ = 439657333920. Its totient is φ = 34127708160.

The previous prime is 131447320031. The next prime is 131447320051. The reversal of 131447320032 is 230023744131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131447320031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2290732 + ... + 2347412.

It is an arithmetic number, because the mean of its divisors is an integer number (1526587965).

Almost surely, 2131447320032 is an apocalyptic number.

131447320032 is a gapful number since it is divisible by the number (12) 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 131447320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219828666960).

131447320032 is an abundant number, since it is smaller than the sum of its proper divisors (308210013888).

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

131447320032 is a wasteful number, since it uses less digits than its factorization.

131447320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56754 (or 56739 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 131447320032 in words is "one hundred thirty-one billion, four hundred forty-seven million, three hundred twenty thousand, thirty-two".