14240244224100 has 144 divisors (see below), whose sum is σ = 41328531054720. Its totient is φ = 3785732198400.

The previous prime is 14240244224053. The next prime is 14240244224119. The reversal of 14240244224100 is 142244204241.

It is a super-2 number, since 2×14240244224100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140135310 + ... + 140236890.

It is an arithmetic number, because the mean of its divisors is an integer number (287003687880).

Almost surely, 2^{14240244224100} is an apocalyptic number.

14240244224100 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 14240244224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20664265527360).

14240244224100 is an abundant number, since it is smaller than the sum of its proper divisors (27088286830620).

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

14240244224100 is a wasteful number, since it uses less digits than its factorization.

14240244224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103030 (or 103023 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14240244224100 its reverse (142244204241), we get a palindrome (14382488428341).

The spelling of 14240244224100 in words is "fourteen trillion, two hundred forty billion, two hundred forty-four million, two hundred twenty-four thousand, one hundred".