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14143410960 = 2435723533407
BaseRepresentation
bin11010010110000001…
…10101001100010000
31100111200022201102120
431023000311030100
5212431203122320
610255234214240
71010326003200
oct151300651420
940450281376
1014143410960
115aa864aa98
1228a8724380
131445241933
14982568400
1557ba10440
hex34b035310

14143410960 has 240 divisors, whose sum is σ = 51162368256. Its totient is φ = 3222675456.

The previous prime is 14143410959. The next prime is 14143410961. The reversal of 14143410960 is 6901434141.

It is an interprime number because it is at equal distance from previous prime (14143410959) and next prime (14143410961).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (14143410961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4149577 + ... + 4152983.

Almost surely, 214143410960 is an apocalyptic number.

14143410960 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 14143410960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25581184128).

14143410960 is an abundant number, since it is smaller than the sum of its proper divisors (37018957296).

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

14143410960 is a wasteful number, since it uses less digits than its factorization.

14143410960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 14143410960 in words is "fourteen billion, one hundred forty-three million, four hundred ten thousand, nine hundred sixty".