6133414340 has 24 divisors (see below), whose sum is σ = 12890535000. Its totient is φ = 2451391488.

The previous prime is 6133414333. The next prime is 6133414361. The reversal of 6133414340 is 434143316.

It can be written as a sum of positive squares in 4 ways, for example, as 252364996 + 5881049344 = 15886^2 + 76688^2 .

It is a super-2 number, since 2×6133414340² = 75237542932235271200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97787 + ... + 147746.

It is an arithmetic number, because the mean of its divisors is an integer number (537105625).

Almost surely, 2^6133414340 is an apocalyptic number.

It is an amenable number.

6133414340 is an abundant number, since it is smaller than the sum of its proper divisors (6757120660).

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

6133414340 is a wasteful number, since it uses less digits than its factorization.

6133414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246791 (or 246789 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 6133414340 is about 78316.1180090025. The cubic root of 6133414340 is about 1830.4903122471.

Adding to 6133414340 its reverse (434143316), we get a palindrome (6567557656).

The spelling of 6133414340 in words is "six billion, one hundred thirty-three million, four hundred fourteen thousand, three hundred forty".