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14143540320 = 25325721317907
BaseRepresentation
bin11010010110000010…
…10100110001100000
31100111200120021212200
431023001110301200
5212431221242240
610255241053200
71010330052300
oct151301246140
940450507780
1014143540320
115aa87291a8
1228a8787200
131445288790
1498259d600
1557ba38930
hex34b054c60

14143540320 has 864 divisors, whose sum is σ = 64090903968. Its totient is φ = 2805497856.

The previous prime is 14143540297. The next prime is 14143540331. The reversal of 14143540320 is 2304534141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 15593307 + ... + 15594213.

It is an arithmetic number, because the mean of its divisors is an integer number (74179287).

Almost surely, 214143540320 is an apocalyptic number.

14143540320 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 14143540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32045451984).

14143540320 is an abundant number, since it is smaller than the sum of its proper divisors (49947363648).

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

14143540320 is a wasteful number, since it uses less digits than its factorization.

14143540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 14143540320 in words is "fourteen billion, one hundred forty-three million, five hundred forty thousand, three hundred twenty".