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132441413580 = 22345741284857
BaseRepresentation
bin111101101011000011…
…1111001011111001100
3110122212001212220110000
41323112013321133030
54132220000213310
6140502011044300
712366010304130
oct1732607713714
9418761786400
10132441413580
11511937a8303
1221802440690
13c648930558
1465a58293c0
1536a236a4c0
hex1ed61f97cc

132441413580 has 240 divisors, whose sum is σ = 486409847616. Its totient is φ = 29533870080.

The previous prime is 132441413569. The next prime is 132441413581. The reversal of 132441413580 is 85314144231.

132441413580 is a `hidden beast` number, since 1 + 3 + 2 + 441 + 4 + 135 + 80 = 666.

132441413580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132441413581) 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 79 ways as a sum of consecutive naturals, for example, 322512 + ... + 607368.

Almost surely, 2132441413580 is an apocalyptic number.

132441413580 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 132441413580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243204923808).

132441413580 is an abundant number, since it is smaller than the sum of its proper divisors (353968434036).

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

132441413580 is a wasteful number, since it uses less digits than its factorization.

132441413580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284926 (or 284915 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 132441413580 in words is "one hundred thirty-two billion, four hundred forty-one million, four hundred thirteen thousand, five hundred eighty".