14144243100 has 144 divisors (see below), whose sum is σ = 46664700768. Its totient is φ = 3276840960.

The previous prime is 14144243089. The next prime is 14144243101. The reversal of 14144243100 is 134244141.

It is a super-2 number, since 2×14144243100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144243101) by changing a digit.

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, 40369 + ... + 172968.

It is an arithmetic number, because the mean of its divisors is an integer number (324060422).

Almost surely, 2^14144243100 is an apocalyptic number.

14144243100 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 14144243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23332350384).

14144243100 is an abundant number, since it is smaller than the sum of its proper divisors (32520457668).

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

14144243100 is a wasteful number, since it uses less digits than its factorization.

14144243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213384 (or 213377 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14144243100 its reverse (134244141), we get a palindrome (14278487241).

The spelling of 14144243100 in words is "fourteen billion, one hundred forty-four million, two hundred forty-three thousand, one hundred".