144014230100 has 72 divisors (see below), whose sum is σ = 356347301688. Its totient is φ = 50046566400.

The previous prime is 144014230079. The next prime is 144014230109. The reversal of 144014230100 is 1032410441.

144014230100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 68708991376 + 75305238724 = 262124^2 + 274418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144014230109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3236141 + ... + 3280340.

It is an arithmetic number, because the mean of its divisors is an integer number (4949268079).

Almost surely, 2^144014230100 is an apocalyptic number.

144014230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144014230100 is an abundant number, since it is smaller than the sum of its proper divisors (212333071588).

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

144014230100 is a wasteful number, since it uses less digits than its factorization.

144014230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516525 (or 6516518 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144014230100 its reverse (1032410441), we get a palindrome (145046640541).

The spelling of 144014230100 in words is "one hundred forty-four billion, fourteen million, two hundred thirty thousand, one hundred".