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140309745792 = 27331432691019
BaseRepresentation
bin1000001010101100011…
…1001101000010000000
3111102011102112121002120
42002223013031002000
54244323243331132
6144242444444240
713065002106156
oct2025307150200
9442142477076
10140309745792
11545612147a7
1223239549680
1310300ac2a28
146b1081b3d6
1539b300802c
hex20ab1cd080

140309745792 has 256 divisors, whose sum is σ = 395518464000. Its totient is φ = 44001054720.

The previous prime is 140309745791. The next prime is 140309745799. The reversal of 140309745792 is 297547903041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (140309745791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137693059 + ... + 137694077.

It is an arithmetic number, because the mean of its divisors is an integer number (1544994000).

Almost surely, 2140309745792 is an apocalyptic number.

140309745792 is a gapful number since it is divisible by the number (12) 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 140309745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197759232000).

140309745792 is an abundant number, since it is smaller than the sum of its proper divisors (255208718208).

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

140309745792 is a wasteful number, since it uses less digits than its factorization.

140309745792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 140309745792 in words is "one hundred forty billion, three hundred nine million, seven hundred forty-five thousand, seven hundred ninety-two".