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40231199232 = 29347139997
BaseRepresentation
bin100101011101111101…
…110110001000000000
310211211210002200020000
4211131331312020000
51124343141333412
630252034120000
72622652360020
oct453575661000
9124753080200
1040231199232
1116075510494
127969420000
133a41c41643
141d39191a80
1510a6e554dc
hex95df76200

40231199232 has 400 divisors, whose sum is σ = 138359686080. Its totient is φ = 11400486912.

The previous prime is 40231199231. The next prime is 40231199249. The reversal of 40231199232 is 23299113204.

40231199232 is a `hidden beast` number, since 4 + 0 + 231 + 199 + 232 = 666.

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 (40231199231) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 40351758 + ... + 40352754.

Almost surely, 240231199232 is an apocalyptic number.

40231199232 is a gapful number since it is divisible by the number (42) 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 40231199232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69179843040).

40231199232 is an abundant number, since it is smaller than the sum of its proper divisors (98128486848).

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

40231199232 is an equidigital number, since it uses as much as digits as its factorization.

40231199232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 40231199232 in words is "forty billion, two hundred thirty-one million, one hundred ninety-nine thousand, two hundred thirty-two".