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14014995840 = 27375171931
BaseRepresentation
bin11010000110101101…
…11101110110000000
31100011201200120000000
431003112331312000
5212200314331330
610234410000000
71004206333116
oct150326756600
940151616000
1014014995840
115a4211089a
122871716000
13142475c661
1496d49bab6
155705e6560
hex3435bdd80

14014995840 has 1024 divisors, whose sum is σ = 57811968000. Its totient is φ = 3224862720.

The previous prime is 14014995833. The next prime is 14014995889. The reversal of 14014995840 is 4859941041.

It is a happy number.

14014995840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 452096625 + ... + 452096655.

It is an arithmetic number, because the mean of its divisors is an integer number (56457000).

Almost surely, 214014995840 is an apocalyptic number.

14014995840 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 14014995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28905984000).

14014995840 is an abundant number, since it is smaller than the sum of its proper divisors (43796972160).

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

14014995840 is an equidigital number, since it uses as much as digits as its factorization.

14014995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 14014995840 in words is "fourteen billion, fourteen million, nine hundred ninety-five thousand, eight hundred forty".