241112144 has 120 divisors (see below), whose sum is σ = 600539688. Its totient is φ = 92897280.

The previous prime is 241112143. The next prime is 241112161. The reversal of 241112144 is 441211142.

It can be written as a sum of positive squares in 4 ways, for example, as 16711744 + 224400400 = 4088^2 + 14980^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241112143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417584 + ... + 418160.

Almost surely, 2^241112144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300269844).

241112144 is an abundant number, since it is smaller than the sum of its proper divisors (359427544).

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

241112144 is a wasteful number, since it uses less digits than its factorization.

241112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 640 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 241112144 is about 15527.7861912122. The cubic root of 241112144 is about 622.4049361561.

Adding to 241112144 its reverse (441211142), we get a palindrome (682323286).

The spelling of 241112144 in words is "two hundred forty-one million, one hundred twelve thousand, one hundred forty-four".