414101113 has 8 divisors (see below), whose sum is σ = 438669000. Its totient is φ = 389556480.

The previous prime is 414101101. The next prime is 414101119. The reversal of 414101113 is 311101414.

It can be written as a sum of positive squares in 4 ways, for example, as 157076089 + 257025024 = 12533^2 + 16032^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414101113 - 2⁵ = 414101081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414101119) by changing a digit.

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, 42303 + ... + 51163.

It is an arithmetic number, because the mean of its divisors is an integer number (54833625).

Almost surely, 2^414101113 is an apocalyptic number.

It is an amenable number.

414101113 is a deficient number, since it is larger than the sum of its proper divisors (24567887).

414101113 is a wasteful number, since it uses less digits than its factorization.

414101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11627.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 414101113 is about 20349.4745140999. The cubic root of 414101113 is about 745.3646626991.

Adding to 414101113 its reverse (311101414), we get a palindrome (725202527).

The spelling of 414101113 in words is "four hundred fourteen million, one hundred one thousand, one hundred thirteen".