144100323244020 has 288 divisors, whose sum is σ = 483153151307904. Its totient is φ = 31804495257600.

The previous prime is 144100323243971. The next prime is 144100323244091. The reversal of 144100323244020 is 20442323001441.

144100323244020 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 706321 + ... + 16991160.

It is an arithmetic number, because the mean of its divisors is an integer number (1677615108708).

Almost surely, 2^{144100323244020} is an apocalyptic number.

144100323244020 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 144100323244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241576575653952).

144100323244020 is an abundant number, since it is smaller than the sum of its proper divisors (339052828063884).

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

144100323244020 is a wasteful number, since it uses less digits than its factorization.

144100323244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17697603 (or 17697588 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144100323244020 its reverse (20442323001441), we get a palindrome (164542646245461).

The spelling of 144100323244020 in words is "one hundred forty-four trillion, one hundred billion, three hundred twenty-three million, two hundred forty-four thousand, twenty".