144430211003100 has 576 divisors, whose sum is σ = 476139310800384. Its totient is φ = 33489676800000.

The previous prime is 144430211003081. The next prime is 144430211003101. The reversal of 144430211003100 is 1300112034441.

It is a super-2 number, since 2×144430211003100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144430211003101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16542225735 + ... + 16542234465.

Almost surely, 2^{144430211003100} is an apocalyptic number.

144430211003100 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 144430211003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238069655400192).

144430211003100 is an abundant number, since it is smaller than the sum of its proper divisors (331709099797284).

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

144430211003100 is a wasteful number, since it uses less digits than its factorization.

144430211003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11078 (or 11071 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 144430211003100 its reverse (1300112034441), we get a palindrome (145730323037541).

The spelling of 144430211003100 in words is "one hundred forty-four trillion, four hundred thirty billion, two hundred eleven million, three thousand, one hundred".