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14314404060 = 2232511229131173
BaseRepresentation
bin11010101010011010…
…00111100011011100
31100221121002001212100
431111031013203130
5213303441412220
610324223205100
71014503266305
oct152515074334
940847061770
1014314404060
116086120700
122935a46790
1314717b0c98
1499b1597ac
1558ba39d90
hex3553478dc

14314404060 has 432 divisors, whose sum is σ = 50036706720. Its totient is φ = 3305702400.

The previous prime is 14314404059. The next prime is 14314404067. The reversal of 14314404060 is 6040441341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314404067) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82742134 + ... + 82742306.

It is an arithmetic number, because the mean of its divisors is an integer number (115825710).

Almost surely, 214314404060 is an apocalyptic number.

14314404060 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 14314404060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25018353360).

14314404060 is an abundant number, since it is smaller than the sum of its proper divisors (35722302660).

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

14314404060 is a wasteful number, since it uses less digits than its factorization.

14314404060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 14314404060 in words is "fourteen billion, three hundred fourteen million, four hundred four thousand, sixty".