If you randomly picked one root of the function \(p(x)=(x^4 + 1989x^3 -8162747x^2+202809800x)(e^{2014x}-1)[\ln { (x-10069) } ]\) and the function is from \(\mathbb{R}\) to \(\mathbb{R}\) , what is the probability that the root that you picked is divisible by \(2014\)?

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