Interactive mathematics tool

Maya Number
Converter

Build and read numbers using the elegant Maya base-20 system of dots, bars, and a symbol for zero.

Choose a direction

01 Enter a number

Decimal to Maya

Enter a whole number from 0 to 63,999,999.

Try

Pure base-20 notation
Place values rise as 1, 20, 400, 8,000, and so on.

02 Read the result

Decimal value125

Maya numeral

2 places
Base-20 digits 6 · 5
Calculation

(6 × 20¹) + (5 × 20⁰) = 125

Dot1 unit

Bar5 units

ShellZero

Dots, bars, and place. Three simple marks can express very large numbers.

How it works

Reading Maya numbers

01

Combine to nineteen

Dots represent ones and bars represent fives. Up to four dots sit above as many as three bars.

+
=13
02

Stack by place

Units sit at the bottom. Each level above is worth twenty times the level below it.

8,000400201
03

Hold an empty place

A shell-like zero keeps a place empty, allowing values such as 400 to be written unambiguously.

1= 400

Important distinction

Mathematics and calendar notation

This converter uses a regular vigesimal sequence: 20⁰, 20¹, 20², 20³. Maya Long Count dates use a specialized calendar sequence in which 18 uinal make one tun, producing 360 days rather than 400.

Open the Maya Calendar Converter

Learn from the source

References