Dozens to Billions (long Scale) (doz to billion)
1 dozen equals 1.2×10⁻¹¹ billions (long scale) exactly.
How to convert dozens to billions (long scale)
To convert dozens to billions (long scale), multiply the number of dozens by 1.2×10⁻¹¹. This factor is exact. To go the other way, multiply billions (long scale) by 83,333,333,333 (rounded).
billions (long scale) = dozens × 1.2×10⁻¹¹
Example: 10 dozens = 1.2×10⁻¹⁰ billions (long scale).
Large-number names differ around the world: this site uses the short scale (billion = 10⁹) by default, and lists the long-scale billion separately.
About these units
Dozen (doz)
Twelve items. Eggs, rolls and many goods are still sold by the dozen.
Dozen entered English from Old French douzaine, a group of twelve, built from douze, which comes from Latin duodecim, plus a suffix that makes a collective. Twelve earned its popularity partly by dividing evenly: it splits into halves, thirds, quarters, and sixths, which helps when sharing goods. One suggestion is that the roughly dozen lunar months in a solar year made twelve one of the earliest groupings.
Even in a decimal age, dozens persist in commerce, often for foods such as eggs. Larger multiples extend the system by twelves: a gross is 12 dozen, or 144, and a great gross is 12 gross, or 1,728. The idiom six of one, half a dozen of the other uses the unit to say two options come to the same thing. Twelve also gave English the baker's dozen, which adds one more.
1 dozen = 12 pieces (exactly).
Sources: Wikipedia: Dozen
Billion (long Scale) (billion)
One million million (10¹²). The traditional British meaning, still used in much of continental Europe (e.g. German Billion). UK government usage switched to the short scale in 1974.
The long-scale billion is the older meaning, a million million, 10¹². The word was formed from million with the prefix bi-, so it named the second power of a million. The Oxford English Dictionary dates it to the 16th century, and French writers had already used bymillion in 1475 and byllion in 1484. On the long scale each new name is a million times the last: million, billion, trillion at 10¹⁸, with the 10¹⁵ step called a billiard.
Britain used this sense as its most common one until the 1950s, when the short scale began spreading through technical writing and journalism, and the government formally adopted the short scale in 1974. France reverted to the long scale in 1948. Today the long scale is used in continental Europe, French Canada, and the Spanish-speaking Americas, so the same word can mean either 10¹² or 10⁹ depending on the language, and a long-scale billion is 1,000 short-scale billions.
1 billion (long scale) = 1,000,000,000,000 pieces (exactly).
Sources: Wikipedia: Long and short scales; Wikipedia: Billion; Hansard, 20 Dec 1974: Billion (Definition), written answer
Related conversions
- Billions (long scale) to dozens (reverse)
- Dozens to pieces
- Dozens to lakhs
- Dozens to millions
- Dozens to crores
- Dozens to billions (short scale)
- Dozens to pairs
- Dozens to hundred
- Dozens to gross
- Dozens to thousand
- Dozens to trillions (short scale)
- Dozens to score
- Dozens to half dozens
- Pieces to billions (long scale)
- Lakhs to billions (long scale)
- Millions to billions (long scale)
- Crores to billions (long scale)
- Billions (short scale) to billions (long scale)
See all counting & quantity units.