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4000000113 = 32444444457
BaseRepresentation
bin1110111001101011…
…0010100001110001
3101022202201001121100
43232122302201301
531143000000423
61500525515013
7201060303624
oct35632624161
911282631540
104000000113
11177299431a
12937712a69
134b9921795
1429d353dbb
15186275343
hexee6b2871

4000000113 has 6 divisors (see below), whose sum is σ = 5777777954. Its totient is φ = 2666666736.

The previous prime is 4000000063. The next prime is 4000000133. The reversal of 4000000113 is 3110000004.

It can be written as a sum of positive squares in only one way, i.e., 3995124849 + 4875264 = 63207^2 + 2208^2 .

It is not a de Polignac number, because 4000000113 - 210 = 3999999089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 444444457 = 4000000113 / (4 + 0 + 0 + 0 + 0 + 0 + 0 + 1 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4000000095 and 4000000104.

It is not an unprimeable number, because it can be changed into a prime (4000000133) 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 5 ways as a sum of consecutive naturals, for example, 222222220 + ... + 222222237.

Almost surely, 24000000113 is an apocalyptic number.

It is an amenable number.

4000000113 is a deficient number, since it is larger than the sum of its proper divisors (1777777841).

4000000113 is a wasteful number, since it uses less digits than its factorization.

4000000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444444463 (or 444444460 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4000000113 is about 63245.5540967110. The cubic root of 4000000113 is about 1587.4010669162.

Adding to 4000000113 its reverse (3110000004), we get a palindrome (7110000117).

The spelling of 4000000113 in words is "four billion, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 444444457 1333333371 4000000113