243102444201342 has 144 divisors (see below), whose sum is σ = 594673937793936. Its totient is φ = 71668253606400.

The previous prime is 243102444201341. The next prime is 243102444201343.

243102444201342 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 0 + 2 + 444 + 201 + 3 + 4 + 2 = 666.

243102444201342 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (243102444201341) and next prime (243102444201343).

It is a junction number, because it is equal to n+sod(n) for n = 243102444201297 and 243102444201306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243102444201341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 728411193 + ... + 728744859.

It is an arithmetic number, because the mean of its divisors is an integer number (4129680123569).

Almost surely, 2^{243102444201342} is an apocalyptic number.

243102444201342 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 243102444201342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297336968896968).

243102444201342 is an abundant number, since it is smaller than the sum of its proper divisors (351571493592594).

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

243102444201342 is a wasteful number, since it uses less digits than its factorization.

243102444201342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342775 (or 342761 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 243102 and 444201342, that added together give a palindrome (444444444).

The spelling of 243102444201342 in words is "two hundred forty-three trillion, one hundred two billion, four hundred forty-four million, two hundred one thousand, three hundred forty-two".