2024144214100 has 18 divisors (see below), whose sum is σ = 4392392944814. Its totient is φ = 809657685600.

The previous prime is 2024144214089. The next prime is 2024144214107. The reversal of 2024144214100 is 14124414202.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10253992644 + 2013890221456 = 101262^2 + 1419116^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024144214107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10120720971 + ... + 10120721170.

Almost surely, 2^{2024144214100} is an apocalyptic number.

2024144214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024144214100 is an abundant number, since it is smaller than the sum of its proper divisors (2368248730714).

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

2024144214100 is a wasteful number, since it uses less digits than its factorization.

2024144214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20241442155 (or 20241442148 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 2024144214100 its reverse (14124414202), we get a palindrome (2038268628302).

The spelling of 2024144214100 in words is "two trillion, twenty-four billion, one hundred forty-four million, two hundred fourteen thousand, one hundred".