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14001413760 = 273452311743
BaseRepresentation
bin11010000101000110…
…01001111010000000
31100010210010111220000
431002203021322000
5212133330220020
610233202520000
71003653024165
oct150243117200
940123114800
1014001413760
115a35484434
122869066000
1314219b5519
1496b76406c
1556e312090
hex3428c9e80

14001413760 has 320 divisors, whose sum is σ = 52180001280. Its totient is φ = 3571070976.

The previous prime is 14001413743. The next prime is 14001413761. The reversal of 14001413760 is 6731410041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14001413761) 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 39 ways as a sum of consecutive naturals, for example, 1186449 + ... + 1198191.

It is an arithmetic number, because the mean of its divisors is an integer number (163062504).

Almost surely, 214001413760 is an apocalyptic number.

14001413760 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 14001413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26090000640).

14001413760 is an abundant number, since it is smaller than the sum of its proper divisors (38178587520).

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

14001413760 is a wasteful number, since it uses less digits than its factorization.

14001413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797 (or 11776 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 14001413760 in words is "fourteen billion, one million, four hundred thirteen thousand, seven hundred sixty".