144100313203242 has 256 divisors, whose sum is σ = 327948472811520. Its totient is φ = 41831257036800.

The previous prime is 144100313203241. The next prime is 144100313203271. The reversal of 144100313203242 is 242302313001441.

144100313203242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144100313203241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49231400383 + ... + 49231403309.

It is an arithmetic number, because the mean of its divisors is an integer number (1281048721920).

Almost surely, 2^{144100313203242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144100313203242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163974236405760).

144100313203242 is an abundant number, since it is smaller than the sum of its proper divisors (183848159608278).

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

144100313203242 is a wasteful number, since it uses less digits than its factorization.

144100313203242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144100313203242 its reverse (242302313001441), we get a palindrome (386402626204683).

The spelling of 144100313203242 in words is "one hundred forty-four trillion, one hundred billion, three hundred thirteen million, two hundred three thousand, two hundred forty-two".