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4134104209 = 11325692
BaseRepresentation
bin1111011001101001…
…0110110010010001
3101200010001020211201
43312122112302101
531431312313314
61522120111201
7204306206644
oct36632266221
911603036751
104134104209
111831659754
12974605501
1350b646311
142b30a1a5b
15192e14b74
hexf6696c91

4134104209 has 9 divisors (see below), whose sum is σ = 4178356273. Its totient is φ = 4090317952.

The previous prime is 4134104171. The next prime is 4134104213. The reversal of 4134104209 is 9024014314.

The square root of 4134104209 is 64297.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3000300625 + 1133803584 = 54775^2 + 33672^2 .

It is not a de Polignac number, because 4134104209 - 213 = 4134096017 is a prime.

It is a super-2 number, since 2×41341042092 = 34181635221743031362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4134102209) 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 8 ways as a sum of consecutive naturals, for example, 7265277 + ... + 7265845.

Almost surely, 24134104209 is an apocalyptic number.

4134104209 is the 64297-th square number.

4134104209 is the 32149-th centered octagonal number.

It is an amenable number.

4134104209 is a deficient number, since it is larger than the sum of its proper divisors (44252064).

4134104209 is an frugal number, since it uses more digits than its factorization.

4134104209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 4134104209 is about 1604.9461793594.

The spelling of 4134104209 in words is "four billion, one hundred thirty-four million, one hundred four thousand, two hundred nine".

Divisors: 1 113 569 12769 64297 323761 7265561 36584993 4134104209