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14247287040 = 28357329373
BaseRepresentation
bin11010100010011010…
…00101100100000000
31100202220210011121210
431101031011210000
5213134301141130
610313424450120
71013026641000
oct152115054400
940686704553
1014247287040
116051249698
122917479940
13146091177c
14992288000
15585bcd5b0
hex351345900

14247287040 has 576 divisors, whose sum is σ = 55040832000. Its totient is φ = 3135799296.

The previous prime is 14247287023. The next prime is 14247287099. The reversal of 14247287040 is 4078274241.

It is a happy number.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 14247287040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38196294 + ... + 38196666.

It is an arithmetic number, because the mean of its divisors is an integer number (95557000).

Almost surely, 214247287040 is an apocalyptic number.

14247287040 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 14247287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27520416000).

14247287040 is an abundant number, since it is smaller than the sum of its proper divisors (40793544960).

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

14247287040 is an equidigital number, since it uses as much as digits as its factorization.

14247287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 14247287040 in words is "fourteen billion, two hundred forty-seven million, two hundred eighty-seven thousand, forty".