id	title	challengeType	forumTopicId	dashedName
5900f4531000cf542c50ff66	Problem 231: The prime factorisation of binomial coefficients	5	301875	problem-231-the-prime-factorisation-of-binomial-coefficients

--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);

function primeFactorisation() {

  return true;
}

primeFactorisation();

// solution required