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40392314640 = 24325711495303
BaseRepresentation
bin100101100111100100…
…011100111100010000
310212021000021012000100
4211213210130330100
51130210413032030
630320031252400
72626650003156
oct454744347420
9125230235010
1040392314640
1116148454917
1279b337a100
133a694329c2
141d527313d6
1510b617d360
hex96791cf10

40392314640 has 240 divisors, whose sum is σ = 138510777600. Its totient is φ = 10546314240.

The previous prime is 40392314587. The next prime is 40392314647. The reversal of 40392314640 is 4641329304.

It is a happy number.

40392314640 is a `hidden beast` number, since 4 + 0 + 3 + 9 + 2 + 3 + 1 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 40392314595 and 40392314604.

It is not an unprimeable number, because it can be changed into a prime (40392314647) 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 47 ways as a sum of consecutive naturals, for example, 7614229 + ... + 7619531.

It is an arithmetic number, because the mean of its divisors is an integer number (577128240).

Almost surely, 240392314640 is an apocalyptic number.

40392314640 is a gapful number since it is divisible by the number (40) 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 40392314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69255388800).

40392314640 is an abundant number, since it is smaller than the sum of its proper divisors (98118462960).

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

40392314640 is a wasteful number, since it uses less digits than its factorization.

40392314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40392314640 in words is "forty billion, three hundred ninety-two million, three hundred fourteen thousand, six hundred forty".