14144305000 has 80 divisors (see below), whose sum is σ = 37874501280. Its totient is φ = 4849464000.

The previous prime is 14144304971. The next prime is 14144305001. The reversal of 14144305000 is 50344141.

14144305000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14144305000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14144305001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 167062 + ... + 237061.

It is an arithmetic number, because the mean of its divisors is an integer number (473431266).

Almost surely, 2^14144305000 is an apocalyptic number.

14144305000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144305000 is an abundant number, since it is smaller than the sum of its proper divisors (23730196280).

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

14144305000 is an equidigital number, since it uses as much as digits as its factorization.

14144305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404156 (or 404137 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 14144305000 its reverse (50344141), we get a palindrome (14194649141).

The spelling of 14144305000 in words is "fourteen billion, one hundred forty-four million, three hundred five thousand".