144034000310020 has 24 divisors (see below), whose sum is σ = 302471626422168. Its totient is φ = 57613557120000.

The previous prime is 144034000310009. The next prime is 144034000310023. The reversal of 144034000310020 is 20013000430441.

144034000310020 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 20807482956484 + 123226517353536 = 4561522^2 + 11100744^2 .

It is a super-2 number, since 2×144034000310020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144034000309973 and 144034000310000.

It is not an unprimeable number, because it can be changed into a prime (144034000310023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49349470 + ... + 52186570.

It is an arithmetic number, because the mean of its divisors is an integer number (12602984434257).

Almost surely, 2^{144034000310020} is an apocalyptic number.

144034000310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034000310020 is an abundant number, since it is smaller than the sum of its proper divisors (158437626112148).

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

144034000310020 is a wasteful number, since it uses less digits than its factorization.

144034000310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375511 (or 5375509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 144034000310020 its reverse (20013000430441), we get a palindrome (164047000740461).

The spelling of 144034000310020 in words is "one hundred forty-four trillion, thirty-four billion, three hundred ten thousand, twenty".