Search a number
14942128320 = 26355797283

14942128320 has 672 divisors, whose sum is σ = 61757649408. Its totient is φ = 3368189952.

The previous prime is 14942128301. The next prime is 14942128361. The reversal of 14942128320 is 2382124941.

14942128320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 52798899 + ... + 52799181.

It is an arithmetic number, because the mean of its divisors is an integer number (91901264).

Almost surely, 214942128320 is an apocalyptic number.

14942128320 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 14942128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30878824704).

14942128320 is an abundant number, since it is smaller than the sum of its proper divisors (46815521088).

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

14942128320 is an equidigital number, since it uses as much as digits as its factorization.

14942128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14942128320 in words is "fourteen billion, nine hundred forty-two million, one hundred twenty-eight thousand, three hundred twenty".