242144132401 has 8 divisors (see below), whose sum is σ = 254600389800. Its totient is φ = 229961639040.

The previous prime is 242144132311. The next prime is 242144132413. The reversal of 242144132401 is 104231441242.

It can be written as a sum of positive squares in 4 ways, for example, as 8835812001 + 233308320400 = 93999^2 + 483020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242144132401 - 2²³ = 242135743793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242144132401.

It is not an unprimeable number, because it can be changed into a prime (242144132431) 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, 68439196 + ... + 68442733.

It is an arithmetic number, because the mean of its divisors is an integer number (31825048725).

Almost surely, 2^242144132401 is an apocalyptic number.

It is an amenable number.

242144132401 is a deficient number, since it is larger than the sum of its proper divisors (12456257399).

242144132401 is a wasteful number, since it uses less digits than its factorization.

242144132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136882019.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 242144132401 its reverse (104231441242), we get a palindrome (346375573643).

It can be divided in two parts, 242144 and 132401, that added together give a triangular number (374545 = T₈₆₅).

The spelling of 242144132401 in words is "two hundred forty-two billion, one hundred forty-four million, one hundred thirty-two thousand, four hundred one".