To save this word, you'll need to log in.

## Definition of *Stirling's formula*

**:**a formula {latex}\sqrt{2\pi{n}} (\frac{n}{e})^n{/latex} that approximates the value of the factorial of a very large number

*n*

Keep scrolling for more

#### Test Your Vocabulary

Challenging Vocabulary Quiz Returns!

- Which is a synonym of
**fuliginous**?

Can you spell these 10 commonly misspelled words?

TAKE THE QUIZ**Test Your Knowledge** - and learn some interesting things along the way.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!

Merriam-Webster unabridgedWords at Play

Ask the Editors

Word Games

Share

Stirling's formulaTime Traveler for

Stirling's formula## The first known use of

Stirling's formulawas in 1908See more words from the same year