15300413102340 has 72 divisors (see below), whose sum is σ = 46491688839960. Its totient is φ = 4073038884864.

The previous prime is 15300413102297. The next prime is 15300413102341. The reversal of 15300413102340 is 4320131400351.

It is a happy number.

15300413102340 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 0 + 4 + 1 + 310 + 2 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10861941696516 + 4438471405824 = 3295746^2 + 2106768^2 .

It is a super-2 number, since 2×15300413102340² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15300413102341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73554975 + ... + 73762694.

It is an arithmetic number, because the mean of its divisors is an integer number (645717900555).

Almost surely, 2^{15300413102340} is an apocalyptic number.

15300413102340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15300413102340 is an abundant number, since it is smaller than the sum of its proper divisors (31191275737620).

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

15300413102340 is a wasteful number, since it uses less digits than its factorization.

15300413102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147318261 (or 147318256 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 15300413102340 its reverse (4320131400351), we get a palindrome (19620544502691).

The spelling of 15300413102340 in words is "fifteen trillion, three hundred billion, four hundred thirteen million, one hundred two thousand, three hundred forty".