242349444100 has 81 divisors (see below), whose sum is σ = 555248232021. Its totient is φ = 91802239200.

The previous prime is 242349444061. The next prime is 242349444121. The reversal of 242349444100 is 1444943242.

The square root of 242349444100 is 492290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87245799876 + 155103644224 = 295374^2 + 393832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242349444100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93533805 + ... + 93536395.

Almost surely, 2^242349444100 is an apocalyptic number.

242349444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

242349444100 is the 492290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242349444100

242349444100 is an abundant number, since it is smaller than the sum of its proper divisors (312898787921).

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

242349444100 is an equidigital number, since it uses as much as digits as its factorization.

242349444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 242349444100 in words is "two hundred forty-two billion, three hundred forty-nine million, four hundred forty-four thousand, one hundred".