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14065260000 = 2535411101211
BaseRepresentation
bin11010001100101101…
…01101010111100000
31100022020021020110120
431012112231113200
5212301201310000
610243403200240
71005356510631
oct150626552740
940266236416
1014065260000
115a68522020
122886516080
131431cab06c
14976023888
15574c246a0
hex3465ad5e0

14065260000 has 480 divisors, whose sum is σ = 51070352256. Its totient is φ = 3360000000.

The previous prime is 14065259993. The next prime is 14065260061. The reversal of 14065260000 is 6256041.

14065260000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 66659895 + ... + 66660105.

Almost surely, 214065260000 is an apocalyptic number.

14065260000 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 14065260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25535176128).

14065260000 is an abundant number, since it is smaller than the sum of its proper divisors (37005092256).

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

14065260000 is a wasteful number, since it uses less digits than its factorization.

14065260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 14065260000 in words is "fourteen billion, sixty-five million, two hundred sixty thousand".