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40307392944 = 24327213538291
BaseRepresentation
bin100101100010100000…
…100000000110110000
310212001002110201100100
4211202200200012300
51130022143033234
630303355152400
72624566121100
oct454240400660
9125032421310
1040307392944
11161045219a5
12798aa45700
133a5496b390
141d45347200
1510ad9a6399
hex9628201b0

40307392944 has 360 divisors, whose sum is σ = 143999502192. Its totient is φ = 10428687360.

The previous prime is 40307392919. The next prime is 40307393011. The reversal of 40307392944 is 44929370304.

40307392944 is a `hidden beast` number, since 403 + 0 + 73 + 92 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40307392944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4857439 + ... + 4865729.

Almost surely, 240307392944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40307392944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71999751096).

40307392944 is an abundant number, since it is smaller than the sum of its proper divisors (103692109248).

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

40307392944 is a wasteful number, since it uses less digits than its factorization.

40307392944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 40307392944 in words is "forty billion, three hundred seven million, three hundred ninety-two thousand, nine hundred forty-four".