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132316554240 = 21033513176171
BaseRepresentation
bin111101100111010101…
…1100110010000000000
3110122112100221101122000
41323032223212100000
54131441014213430
6140441350544000
712362633103543
oct1731653462000
9418470841560
10132316554240
115112a277672
1221788668000
13c628ac48a0
14659300685a
153696404e60
hex1eceae6400

132316554240 has 1408 divisors, whose sum is σ = 552654627840. Its totient is φ = 29727129600.

The previous prime is 132316554239. The next prime is 132316554259. The reversal of 132316554240 is 42455613231.

132316554240 is a `hidden beast` number, since 1 + 32 + 31 + 6 + 554 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132316554195 and 132316554204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1863613405 + ... + 1863613475.

Almost surely, 2132316554240 is an apocalyptic number.

132316554240 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 132316554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276327313920).

132316554240 is an abundant number, since it is smaller than the sum of its proper divisors (420338073600).

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

132316554240 is a wasteful number, since it uses less digits than its factorization.

132316554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 132316554240 in words is "one hundred thirty-two billion, three hundred sixteen million, five hundred fifty-four thousand, two hundred forty".