242314252001442 has 48 divisors (see below), whose sum is σ = 527083100506872. Its totient is φ = 80453318964480.

The previous prime is 242314252001401. The next prime is 242314252001443. The reversal of 242314252001442 is 244100252413242.

242314252001442 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 1 + 4 + 2 + 5 + 200 + 1 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 171925356944961 + 70388895056481 = 13112031^2 + 8389809^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242314252001397 and 242314252001406.

It is not an unprimeable number, because it can be changed into a prime (242314252001443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7141342 + ... + 23143622.

Almost surely, 2^{242314252001442} is an apocalyptic number.

242314252001442 is an abundant number, since it is smaller than the sum of its proper divisors (284768848505430).

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

242314252001442 is a wasteful number, since it uses less digits than its factorization.

242314252001442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005603 (or 16005600 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 242314252001442 in words is "two hundred forty-two trillion, three hundred fourteen billion, two hundred fifty-two million, one thousand, four hundred forty-two".