24314133141342 has 144 divisors (see below), whose sum is σ = 58021916281056. Its totient is φ = 7353076579200.

The previous prime is 24314133141299. The next prime is 24314133141343.

24314133141342 is a `hidden beast` number, since 2 + 4 + 3 + 141 + 33 + 141 + 342 = 666.

24314133141342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24314133141297 and 24314133141306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24314133141343) 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 71 ways as a sum of consecutive naturals, for example, 2587430988 + ... + 2587440384.

It is an arithmetic number, because the mean of its divisors is an integer number (402929974174).

Almost surely, 2^{24314133141342} is an apocalyptic number.

24314133141342 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 24314133141342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29010958140528).

24314133141342 is an abundant number, since it is smaller than the sum of its proper divisors (33707783139714).

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

24314133141342 is a wasteful number, since it uses less digits than its factorization.

24314133141342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11695 (or 11681 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 2431413 and 3141342, that added together give a palindrome (5572755).

The spelling of 24314133141342 in words is "twenty-four trillion, three hundred fourteen billion, one hundred thirty-three million, one hundred forty-one thousand, three hundred forty-two".