---
id: 5900f3e41000cf542c50fef6
title: 'Problem 119: Digit power sum'
challengeType: 5
forumTopicId: 301745
dashedName: problem-119-digit-power-sum
---

# --description--

The number 512 is interesting because it is equal to the sum of its digits raised to some power: 5 + 1 + 2 = 8, and 83 = 512. Another example of a number with this property is 614656 = 284.

We shall define an to be the nth term of this sequence and insist that a number must contain at least two digits to have a sum.

You are given that a2 = 512 and a10 = 614656.

Find a30.

# --hints--

`euler119()` should return 248155780267521.

```js
assert.strictEqual(euler119(), 248155780267521);
```

# --seed--

## --seed-contents--

```js
function euler119() {

  return true;
}

euler119();
```

# --solutions--

```js
// solution required
```