Babylonian Numbers Calculator

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Babylonian Numbers Converter

Decimal ↔ Babylonian sexagesimal (base-60) cuneiform numerals

Decimal Number

Enter any non-negative integer. Large numbers become multi-position sexagesimal.

Quick Examples

Cuneiform-style Positional Display

60^2 = 3,600

1 x 3,600
= 3,600

60^1 = 60

1 x 60
= 60

60^0 = 1

1 x 1
= 1

Each column is one sexagesimal position. Angled marks (▶) represent tens; vertical marks represent units. Babylonians wrote from left (highest power of 60) to right (units).

Positional Breakdown

Position 1 — digit 1 × 60² (3,600)3,600

Position 2 — digit 1 × 60¹ (60)60

Position 3 — digit 1 × 60⁰ (1)1

Decimal value3,661

Decimal

3,661

Sexagesimal

1; 1; 1

About Babylonian Numbers

Base-60 (sexagesimal) was used by ancient Mesopotamia from ~2000 BCE. It survives today in our 60-second minutes, 60-minute hours, and 360-degree circles.

Two symbols only: a vertical wedge (units 1–9) and a corner wedge (tens). These combined to form any digit 1–59. Zero was initially just a gap, later marked explicitly.

Why 60? Highly composite — divisible by 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 — making fractions much cleaner than base 10.

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What is Babylonian Numbers Calculator?

Babylonian Numbers Calculator helps you convert numbers between our modern decimal system and the ancient Babylonian base-60 numeral system used by the Mesopotamians over 3,000 years ago.