14244100024 has 128 divisors (see below), whose sum is σ = 33823641600. Its totient is φ = 5462691840.

The previous prime is 14244100019. The next prime is 14244100127. The reversal of 14244100024 is 42000144241.

14244100024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14244099968 and 14244100004.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13324162 + ... + 13325230.

It is an arithmetic number, because the mean of its divisors is an integer number (264247200).

Almost surely, 2^14244100024 is an apocalyptic number.

14244100024 is a gapful number since it is divisible by the number (14) 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 14244100024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16911820800).

14244100024 is an abundant number, since it is smaller than the sum of its proper divisors (19579541576).

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

14244100024 is a wasteful number, since it uses less digits than its factorization.

14244100024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 14244100024 its reverse (42000144241), we get a palindrome (56244244265).

The spelling of 14244100024 in words is "fourteen billion, two hundred forty-four million, one hundred thousand, twenty-four".