144042042214100 has 36 divisors (see below), whose sum is σ = 323349549942300. Its totient is φ = 55630030095360.

The previous prime is 144042042214079. The next prime is 144042042214111. The reversal of 144042042214100 is 1412240240441.

It can be written as a sum of positive squares in 6 ways, for example, as 4539439315216 + 139502602898884 = 2130596^2 + 11811122^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24834831965 + ... + 24834837764.

Almost surely, 2^{144042042214100} is an apocalyptic number.

144042042214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144042042214100 is an abundant number, since it is smaller than the sum of its proper divisors (179307507728200).

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

144042042214100 is a wasteful number, since it uses less digits than its factorization.

144042042214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49669669772 (or 49669669765 counting only the distinct ones).

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

Adding to 144042042214100 its reverse (1412240240441), we get a palindrome (145454282454541).

The spelling of 144042042214100 in words is "one hundred forty-four trillion, forty-two billion, forty-two million, two hundred fourteen thousand, one hundred".