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140375424384 = 27331322314011
BaseRepresentation
bin1000001010111100000…
…1101111110110000000
3111102100000010102012000
42002233001233312000
54244442102040014
6144253152304000
713066430264016
oct2025701576600
9442300112160
10140375424384
11545952a4028
1223257542000
13103115aa5c0
146b194368b6
1539b8b7d509
hex20af06fd80

140375424384 has 256 divisors, whose sum is σ = 448204646400. Its totient is φ = 42995681280.

The previous prime is 140375424377. The next prime is 140375424391. The reversal of 140375424384 is 483424573041.

140375424384 is a `hidden beast` number, since 1 + 40 + 37 + 542 + 4 + 38 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (140375424377) and next prime (140375424391).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10011939 + ... + 10025949.

It is an arithmetic number, because the mean of its divisors is an integer number (1750799400).

Almost surely, 2140375424384 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 140375424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224102323200).

140375424384 is an abundant number, since it is smaller than the sum of its proper divisors (307829222016).

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

140375424384 is a wasteful number, since it uses less digits than its factorization.

140375424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270 (or 14252 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 140375424384 in words is "one hundred forty billion, three hundred seventy-five million, four hundred twenty-four thousand, three hundred eighty-four".