242144330141142 has 320 divisors, whose sum is σ = 655071592279104. Its totient is φ = 65861427317760.

The previous prime is 242144330141123. The next prime is 242144330141171. The reversal of 242144330141142 is 241141033441242.

242144330141142 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 44 + 330 + 141 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242144330141097 and 242144330141106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1403055168 + ... + 1403227740.

Almost surely, 2^{242144330141142} is an apocalyptic number.

242144330141142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242144330141142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327535796139552).

242144330141142 is an abundant number, since it is smaller than the sum of its proper divisors (412927262137962).

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

242144330141142 is a wasteful number, since it uses less digits than its factorization.

242144330141142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174285 (or 174276 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 242144330141142 its reverse (241141033441242), we get a palindrome (483285363582384).

The spelling of 242144330141142 in words is "two hundred forty-two trillion, one hundred forty-four billion, three hundred thirty million, one hundred forty-one thousand, one hundred forty-two".