Mayan Numeral Calculator

Convert between modern decimal numbers and the ancient Mayan base‑20 (vigesimal) system — with arithmetic, a calendar converter, charts, a live clock and a quiz.

โ— Numeral Workshop

Decimal โ†’ Mayan
Mayan โ†’ Decimal
Mayan Math
Calendar
Live Clock
Quiz
Vigesimal (base-20) digits โ€” most significant first
โ€”
Mayan numeral (read top โ†’ bottom)
Enter a number and press Convert.

How to build a Mayan numeral

  1. Pick a place value (20โฐ, 20ยน, โ€ฆ) for each row โ€” every row must be unique.
  2. Tap Add Dot (1) and Add Bar (5) to set each place to a value of 0โ€“19.
  3. Add up to 5 places with + Add Place Value, then press Convert to Decimal.
Decimal value
โ€”

Arithmetic the Mayan way

Add, subtract or multiply two numbers and see the answer written in Mayan numerals. The Maya added by simply piling dots and bars together, then "carrying" every time a place reached 20.

Result
โ€”

The Mayan calendar

The Maya tracked time with three interlocking systems:

  • Long Count โ€” days since the creation date (Aug 11, 3114 BCE), written as baktun.katun.tun.uinal.kin.
  • Tzolk'in โ€” a 260-day sacred round (13 numbers ร— 20 day-names).
  • Haab' โ€” a 365-day solar year (18 months of 20 days + 5 "nameless" days).

Conversions use the standard GMT correlation (584283).

Long Count
โ€”
Tzolk'in
โ€”
Haab'
โ€”
Days since creation
โ€”
Calendar Round โ€” where today sits in both cycles

The time, in Mayan numerals

Hours, minutes and seconds are each shown as a proper base-20 numeral. Values above 19 stack into two places (e.g. 47 seconds = 2ยท20 + 7, written as 2 over 7).

โ€”

Test your skills

Read the Mayan numeral and type its decimal value. Pick a difficulty to change the range.

Easy (0โ€“19)
Medium (0โ€“399)
Hard (0โ€“7999)
What number is this?
0
Correct
0
Attempts
0
Streak

โ— Numeral Reference: 0 โ€“ 19

Every Mayan digit is built from a shell (0), dots (1 each, up to four) and bars (5 each, up to three). Dots sit above bars.

โ— About Mayan Numerals

The Maya civilization developed a vigesimal (base-20) number system using just three symbols:

  • A dot represents 1
  • A bar represents 5
  • A shell represents 0 โ€” one of the earliest uses of zero in history

Numbers 1โ€“19 combine up to four dots and three bars. Larger numbers stack vertically, with each place worth 20ร— the one below it (the ones place sits at the bottom).

Why the calendar uses different place values

The pure numeral system multiplies by 20 at every step (1, 20, 400, 8000โ€ฆ). The Long Count calendar makes one exception โ€” the third place (the tun) is worth 360, not 400, so that a tun closely matches a solar year. This tool keeps the two systems correctly separate.

12 โ€” two bars and two dots
(5 + 5) + (1 + 1) = 12
25 โ€” written as "1ยท5" in vigesimal
(1 ร— 20) + (5 ร— 1) = 25