144300431413000 has 32 divisors (see below), whose sum is σ = 337663009508760. Its totient is φ = 57720172564800.

The previous prime is 144300431412997. The next prime is 144300431413013. The reversal of 144300431413000 is 314134003441.

It is a happy number.

144300431413000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22886522048196 + 121413909364804 = 4783986^2 + 11018798^2 .

It is a super-2 number, since 2×144300431413000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144300431413000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72150214707 + ... + 72150216706.

Almost surely, 2^{144300431413000} is an apocalyptic number.

144300431413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300431413000 is an abundant number, since it is smaller than the sum of its proper divisors (193362578095760).

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

144300431413000 is a wasteful number, since it uses less digits than its factorization.

144300431413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144300431434 (or 144300431420 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144300431413000 its reverse (314134003441), we get a palindrome (144614565416441).

The spelling of 144300431413000 in words is "one hundred forty-four trillion, three hundred billion, four hundred thirty-one million, four hundred thirteen thousand".