14224044142100 has 144 divisors (see below), whose sum is σ = 33803009385600. Its totient is φ = 5163387102720.

The previous prime is 14224044142097. The next prime is 14224044142117. The reversal of 14224044142100 is 124144042241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44173481 + ... + 44494319.

Almost surely, 2^{14224044142100} is an apocalyptic number.

14224044142100 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 14224044142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901504692800).

14224044142100 is an abundant number, since it is smaller than the sum of its proper divisors (19578965243500).

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

14224044142100 is a wasteful number, since it uses less digits than its factorization.

14224044142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321442 (or 321435 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 14224044142100 its reverse (124144042241), we get a palindrome (14348188184341).

The spelling of 14224044142100 in words is "fourteen trillion, two hundred twenty-four billion, forty-four million, one hundred forty-two thousand, one hundred".