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132331232040 = 233571713676779
BaseRepresentation
bin111101100111110001…
…1100101101100101000
3110122120101120002210020
41323033203211230220
54132003243411130
6140443033320440
712363201625140
oct1731743455450
9418511502706
10132331232040
1151137592287
1221791566120
13c62bb63687
146594d47920
153697853e10
hex1ecf8e5b28

132331232040 has 256 divisors, whose sum is σ = 480818073600. Its totient is φ = 28442873856.

The previous prime is 132331232017. The next prime is 132331232041. The reversal of 132331232040 is 40232133231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132331232040.

It is not an unprimeable number, because it can be changed into a prime (132331232041) 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, 19517371 + ... + 19524149.

It is an arithmetic number, because the mean of its divisors is an integer number (1878195600).

Almost surely, 2132331232040 is an apocalyptic number.

132331232040 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 132331232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240409036800).

132331232040 is an abundant number, since it is smaller than the sum of its proper divisors (348486841560).

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

132331232040 is a wasteful number, since it uses less digits than its factorization.

132331232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132331232040 its reverse (40232133231), we get a palindrome (172563365271).

The spelling of 132331232040 in words is "one hundred thirty-two billion, three hundred thirty-one million, two hundred thirty-two thousand, forty".