144442320313100 has 144 divisors (see below), whose sum is σ = 330212531712000. Its totient is φ = 54690292800000.

The previous prime is 144442320313069. The next prime is 144442320313129. The reversal of 144442320313100 is 1313023244441.

It is a super-2 number, since 2×144442320313100² (a number of 29 digits) contains 22 as substring.

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, 20198894525 + ... + 20198901675.

Almost surely, 2^{144442320313100} is an apocalyptic number.

144442320313100 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 144442320313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165106265856000).

144442320313100 is an abundant number, since it is smaller than the sum of its proper divisors (185770211398900).

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

144442320313100 is a wasteful number, since it uses less digits than its factorization.

144442320313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14584 (or 14577 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 144442320313100 its reverse (1313023244441), we get a palindrome (145755343557541).

The spelling of 144442320313100 in words is "one hundred forty-four trillion, four hundred forty-two billion, three hundred twenty million, three hundred thirteen thousand, one hundred".