15342414300031 has 48 divisors (see below), whose sum is σ = 19427530056480. Its totient is φ = 12008411654400.

The previous prime is 15342414300007. The next prime is 15342414300047. The reversal of 15342414300031 is 13000341424351.

It is not a de Polignac number, because 15342414300031 - 2¹³ = 15342414291839 is a prime.

It is a super-4 number, since 4×15342414300031⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 15342414299966 and 15342414300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15342414300131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47618905 + ... + 47940013.

It is an arithmetic number, because the mean of its divisors is an integer number (404740209510).

Almost surely, 2^{15342414300031} is an apocalyptic number.

15342414300031 is a deficient number, since it is larger than the sum of its proper divisors (4085115756449).

15342414300031 is a wasteful number, since it uses less digits than its factorization.

15342414300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321944 (or 321937 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 15342414300031 its reverse (13000341424351), we get a palindrome (28342755724382).

The spelling of 15342414300031 in words is "fifteen trillion, three hundred forty-two billion, four hundred fourteen million, three hundred thousand, thirty-one".