--description--

The binomial coefficient $\displaystyle\binom{10}{3} = 120$.

$120 = 2^3 × 3 × 5 = 2 × 2 × 2 × 3 × 5$, and $2 + 2 + 2 + 3 + 5 = 14$.

So the sum of the terms in the prime factorisation of $\displaystyle\binom{10}{3}$ is $14$.

Find the sum of the terms in the prime factorisation of $\binom{20\,000\,000}{15\,000\,000}$.

--hints--

primeFactorisation() should return 7526965179680.

assert.strictEqual(primeFactorisation(), 7526965179680);

--seed--

--seed-contents--

function primeFactorisation() {

  return true;
}

primeFactorisation();

--solutions--

// solution required