243414414342 has 96 divisors (see below), whose sum is σ = 594698517504. Its totient is φ = 71286868800.

The previous prime is 243414414329. The next prime is 243414414377.

243414414342 is a `hidden beast` number, since 2 + 434 + 1 + 44 + 143 + 42 = 666.

243414414342 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×243414414342³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243414414297 and 243414414306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4620273 + ... + 4672659.

It is an arithmetic number, because the mean of its divisors is an integer number (6194776224).

Almost surely, 2^243414414342 is an apocalyptic number.

243414414342 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 243414414342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297349258752).

243414414342 is an abundant number, since it is smaller than the sum of its proper divisors (351284103162).

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

243414414342 is a wasteful number, since it uses less digits than its factorization.

243414414342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53194 (or 53191 counting only the distinct ones).

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

It can be divided in two parts, 243414 and 414342, that added together give a palindrome (657756).

The spelling of 243414414342 in words is "two hundred forty-three billion, four hundred fourteen million, four hundred fourteen thousand, three hundred forty-two".