144432211300 has 72 divisors (see below), whose sum is σ = 339792705000. Its totient is φ = 52970833920.

The previous prime is 144432211283. The next prime is 144432211307. The reversal of 144432211300 is 3112234441.

It can be written as a sum of positive squares in 12 ways, for example, as 113525868096 + 30906343204 = 336936^2 + 175802^2 .

It is a super-2 number, since 2×144432211300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (144432211307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179125 + ... + 566524.

It is an arithmetic number, because the mean of its divisors is an integer number (4719343125).

Almost surely, 2^144432211300 is an apocalyptic number.

144432211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144432211300 is an abundant number, since it is smaller than the sum of its proper divisors (195360493700).

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

144432211300 is a wasteful number, since it uses less digits than its factorization.

144432211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745825 (or 745818 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 144432211300 its reverse (3112234441), we get a palindrome (147544445741).

The spelling of 144432211300 in words is "one hundred forty-four billion, four hundred thirty-two million, two hundred eleven thousand, three hundred".