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13999818240 = 2932517311153
BaseRepresentation
bin11010000100111010…
…00100011000000000
31100010200010110020200
431002131010120000
5212132423140430
610233104405200
71003633330422
oct150235043000
940120113220
1013999818240
115a34594721
122868616800
131421577225
1496b46a812
1556e0e9460
hex342744600

13999818240 has 480 divisors, whose sum is σ = 53039390976. Its totient is φ = 3397386240.

The previous prime is 13999818233. The next prime is 13999818251. The reversal of 13999818240 is 4281899931.

13999818240 is a `hidden beast` number, since 1 + 399 + 9 + 8 + 1 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 12141504 + ... + 12142656.

Almost surely, 213999818240 is an apocalyptic number.

13999818240 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 13999818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26519695488).

13999818240 is an abundant number, since it is smaller than the sum of its proper divisors (39039572736).

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

13999818240 is a wasteful number, since it uses less digits than its factorization.

13999818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 13999818240 in words is "thirteen billion, nine hundred ninety-nine million, eight hundred eighteen thousand, two hundred forty".