---
id: 5900f4161000cf542c50ff29
title: >-
  Problem 170: Find the largest 0 to 9 pandigital that can be formed by
  concatenating products
challengeType: 5
forumTopicId: 301805
dashedName: >-
  problem-170-find-the-largest-0-to-9-pandigital-that-can-be-formed-by-concatenating-products
---

# --description--

Take the number 6 and multiply it by each of 1273 and 9854:

$$\begin{align}
  & 6 × 1273 = 7638 \\\\
  & 6 × 9854 = 59124 \\\\
\end{align}$$

By concatenating these products we get the 1 to 9 pandigital 763859124. We will call 763859124 the "concatenated product of 6 and (1273, 9854)". Notice too, that the concatenation of the input numbers, 612739854, is also 1 to 9 pandigital.

The same can be done for 0 to 9 pandigital numbers.

What is the largest 0 to 9 pandigital 10-digit concatenated product of an integer with two or more other integers, such that the concatenation of the input numbers is also a 0 to 9 pandigital 10-digit number?

# --hints--

`largestPandigital()` should return `9857164023`.

```js
assert.strictEqual(largestPandigital(), 9857164023);
```

# --seed--

## --seed-contents--

```js
function largestPandigital() {

  return true;
}

largestPandigital();
```

# --solutions--

```js
// solution required
```
