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14119040520 = 233251331307317
BaseRepresentation
bin11010010011000111…
…10111011000001000
31100102222110120110200
431021203313120020
5212403433244040
610253004012200
71006611602304
oct151143673010
940388416420
1014119040520
115a95915132
1228a0531060
13144018b160
1497d222d04
155797e9630
hex3498f7608

14119040520 has 384 divisors, whose sum is σ = 51338327040. Its totient is φ = 3341813760.

The previous prime is 14119040513. The next prime is 14119040531. The reversal of 14119040520 is 2504091141.

14119040520 is a `hidden beast` number, since 1 + 4 + 11 + 90 + 40 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44539402 + ... + 44539718.

It is an arithmetic number, because the mean of its divisors is an integer number (133693560).

Almost surely, 214119040520 is an apocalyptic number.

14119040520 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 14119040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25669163520).

14119040520 is an abundant number, since it is smaller than the sum of its proper divisors (37219286520).

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

14119040520 is a wasteful number, since it uses less digits than its factorization.

14119040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 14119040520 in words is "fourteen billion, one hundred nineteen million, forty thousand, five hundred twenty".