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14390002944 = 28331927379
BaseRepresentation
bin11010110011011011…
…00000010100000000
31101010212022220001000
431121231200110000
5213432320043234
610335523412000
71016412002232
oct153155402400
941125286030
1014390002944
116114866219
122957224000
131484360055
149a71d8252
155934be899
hex359b60500

14390002944 has 432 divisors, whose sum is σ = 46102828800. Its totient is φ = 4425228288.

The previous prime is 14390002901. The next prime is 14390002987. The reversal of 14390002944 is 44920009341.

It is an interprime number because it is at equal distance from previous prime (14390002901) and next prime (14390002987).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14390002899 and 14390002908.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 182151897 + ... + 182151975.

Almost surely, 214390002944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14390002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051414400).

14390002944 is an abundant number, since it is smaller than the sum of its proper divisors (31712825856).

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

14390002944 is an equidigital number, since it uses as much as digits as its factorization.

14390002944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14390002944 in words is "fourteen billion, three hundred ninety million, two thousand, nine hundred forty-four".