242131554244000 has 96 divisors (see below), whose sum is σ = 595433213431056. Its totient is φ = 96768619315200.

The previous prime is 242131554243937. The next prime is 242131554244003. The reversal of 242131554244000 is 442455131242.

242131554244000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1346444612496 + 240785109631504 = 1160364^2 + 15517252^2 .

It is a super-2 number, since 2×242131554244000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242131554244003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21638169 + ... + 30862168.

Almost surely, 2^{242131554244000} is an apocalyptic number.

242131554244000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242131554244000 is an abundant number, since it is smaller than the sum of its proper divisors (353301659187056).

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

242131554244000 is a wasteful number, since it uses less digits than its factorization.

242131554244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52501515 (or 52501497 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 242131554244000 in words is "two hundred forty-two trillion, one hundred thirty-one billion, five hundred fifty-four million, two hundred forty-four thousand".