47 lines
807 B
Markdown
47 lines
807 B
Markdown
---
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id: 5900f50f1000cf542c510021
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title: 'Problem 418: Factorisation triples'
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challengeType: 5
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forumTopicId: 302087
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dashedName: problem-418-factorisation-triples
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---
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# --description--
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Let n be a positive integer. An integer triple (a, b, c) is called a factorisation triple of n if: 1 ≤ a ≤ b ≤ c
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a·b·c = n.
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Define f(n) to be a + b + c for the factorisation triple (a, b, c) of n which minimises c / a. One can show that this triple is unique.
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For example, f(165) = 19, f(100100) = 142 and f(20!) = 4034872.
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Find f(43!).
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# --hints--
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`euler418()` should return 1177163565297340400.
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```js
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assert.strictEqual(euler418(), 1177163565297340400);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler418() {
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return true;
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}
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euler418();
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```
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# --solutions--
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```js
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// solution required
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```
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