242144443003100 has 72 divisors (see below), whose sum is σ = 573224888425728. Its totient is φ = 88052071204800.

The previous prime is 242144443003081. The next prime is 242144443003103. The reversal of 242144443003100 is 1300344441242.

It is a super-2 number, since 2×242144443003100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242144443003103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273135149 + ... + 274020251.

Almost surely, 2^{242144443003100} is an apocalyptic number.

242144443003100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242144443003100 is an abundant number, since it is smaller than the sum of its proper divisors (331080445422628).

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

242144443003100 is a wasteful number, since it uses less digits than its factorization.

242144443003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133835 (or 1133828 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 242144443003100 its reverse (1300344441242), we get a palindrome (243444787444342).

The spelling of 242144443003100 in words is "two hundred forty-two trillion, one hundred forty-four billion, four hundred forty-three million, three thousand, one hundred".