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14092379840 = 2657111721979
BaseRepresentation
bin11010001111111100…
…01010011011000000
31100101010022001220002
431013332022123000
5212330122123330
610250212335132
71006136152340
oct150776123300
940333261802
1014092379840
115a81865610
1228936144a8
1314377b50c6
14979882d20
155772cee45
hex347f8a6c0

14092379840 has 336 divisors, whose sum is σ = 44466174720. Its totient is φ = 4131962880.

The previous prime is 14092379797. The next prime is 14092379849. The reversal of 14092379840 is 4897329041.

14092379840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14092379849) 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, 7119971 + ... + 7121949.

Almost surely, 214092379840 is an apocalyptic number.

14092379840 is a gapful number since it is divisible by the number (10) 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 14092379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22233087360).

14092379840 is an abundant number, since it is smaller than the sum of its proper divisors (30373794880).

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

14092379840 is a wasteful number, since it uses less digits than its factorization.

14092379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 14092379840 in words is "fourteen billion, ninety-two million, three hundred seventy-nine thousand, eight hundred forty".