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4031000413 = 112275312101
BaseRepresentation
bin1111000001000100…
…0010111101011101
3101101221001001000121
43300101002331131
531223414003123
61503554154541
7201614636536
oct36021027535
911357031017
104031000413
111789438300
12945b82a51
134c3186b5b
142a350368d
15188d4a75d
hexf0442f5d

4031000413 has 12 divisors (see below), whose sum is σ = 4432744764. Its totient is φ = 3662912000.

The previous prime is 4031000411. The next prime is 4031000429. The reversal of 4031000413 is 3140001304.

4031000413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3949242649 + 81757764 = 62843^2 + 9042^2 .

It is not a de Polignac number, because 4031000413 - 21 = 4031000411 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031000411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327063 + ... + 339163.

It is an arithmetic number, because the mean of its divisors is an integer number (369395397).

Almost surely, 24031000413 is an apocalyptic number.

It is an amenable number.

4031000413 is a deficient number, since it is larger than the sum of its proper divisors (401744351).

4031000413 is a wasteful number, since it uses less digits than its factorization.

4031000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14876 (or 14865 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4031000413 is about 63490.1599698725. The cubic root of 4031000413 is about 1591.4913440518.

Adding to 4031000413 its reverse (3140001304), we get a palindrome (7171001717).

The spelling of 4031000413 in words is "four billion, thirty-one million, four hundred thirteen", and thus it is an aban number.

Divisors: 1 11 121 2753 12101 30283 133111 333113 1464221 33314053 366454583 4031000413