freeCodeCamp/curriculum/challenges/german/10-coding-interview-prep/project-euler/problem-320-factorials-divisible-by-a-huge-integer.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f4ae1000cf542c50ffbf	Problem 320: Factorials divisible by a huge integer	1	301977	problem-320-factorials-divisible-by-a-huge-integer

--description--

Lasse N(i) die kleinste ganze Zahl n sein, sodass n! durch (i!)^{1234567890} teilbar ist

Lasse S(u) = \sum N(i) für 10 ≤ i ≤ u sein.

S(1000)=614\\,538\\,266\\,565\\,663.

Finde S(1\\,000\\,000)\bmod {10}^{18}.

--hints--

divisibleByHugeInteger() sollte 278157919195482660 zurückgeben.

assert.strictEqual(divisibleByHugeInteger(), 278157919195482660);

--seed--

--seed-contents--

function divisibleByHugeInteger() {

  return true;
}

divisibleByHugeInteger();

--solutions--

// solution required