Guide

Roman numerals above 3,999

The seven letters only go up to M (1,000), and M can only be repeated three times. So the largest number you can write with plain letters is 3,999, MMMCMXCIX. Bigger numbers need an extra mark.

Why the limit is 3,999

Under today's rules, a letter can't repeat more than three times in a row, so four thousand can't be MMMM. And there's no letter worth 5,000 for M to sit in front of, the way C sits before M to make 900. You'll occasionally see MMMM on old documents, but it isn't standard.

The bar: multiply by 1,000

The usual solution is a horizontal bar over the letters, called a vinculum (Latin for a bond or chain). A bar multiplies whatever is under it by 1,000:

NumberRoman numeralHow it works
4,000IVIV (4) × 1,000
5,000VV (5) × 1,000
10,000XX (10) × 1,000
50,000LL (50) × 1,000
100,000CC (100) × 1,000
1,000,000MM (1,000) × 1,000

Mixing barred and plain letters

Write the thousands with a bar, then the rest as normal. Split the number at the thousands:

One convention: numbers from 1,000 to 3,999 are still written with M, not with a bar. 3,000 is MMM, not a barred III.

How the Romans wrote thousands

The bar is a later, mostly medieval and modern habit. The Romans themselves often wrote 1,000 as CIↃ, an I wrapped in a C and a backwards C, and 500 as IↃ. Adding more rings multiplied by ten: CCIↃↃ for 10,000. The letter M for 1,000 is thought to have grown partly out of this symbol, and D for 500 from its right-hand half.

There was never one fixed system for very large numbers. Different writers used bars, frames and other marks, so you may see variations in old sources.

Typing big numerals today

A bar is hard to type. Three common workarounds:

Try it: type 12345 or (XII)CCCXLV into the converter.