Names of Large Numbers: Million to Googolplex
Most people are comfortable with thousands and millions. But what comes after a billion? And how many zeros does a quintillion have? Whether you are reading about national debts, astronomical distances, or computing power, understanding the names of large numbers helps you grasp the scale of the world around you.
This guide covers every named number from one million all the way to a googolplex, explains the difference between the short scale and long scale naming systems, and provides real-world comparisons to help you visualize just how enormous these numbers really are.
The Complete List of Large Number Names
In the short scale system used in the United States, United Kingdom, Canada, Australia, and most English-speaking countries, each new name represents a factor of one thousand (10³) over the previous one. Here is the full list:
| Name | Number of Zeros | Written Out |
|---|---|---|
| Thousand | 3 | 1,000 |
| Million | 6 | 1,000,000 |
| Billion | 9 | 1,000,000,000 |
| Trillion | 12 | 1,000,000,000,000 |
| Quadrillion | 15 | 1,000,000,000,000,000 |
| Quintillion | 18 | 1,000,000,000,000,000,000 |
| Sextillion | 21 | 1,000,000,000,000,000,000,000 |
| Septillion | 24 | 1,000,000,000,000,000,000,000,000 |
| Octillion | 27 | 1,000,000,000,000,000,000,000,000,000 |
| Nonillion | 30 | 1 followed by 30 zeros |
| Decillion | 33 | 1 followed by 33 zeros |
| Undecillion | 36 | 1 followed by 36 zeros |
| Duodecillion | 39 | 1 followed by 39 zeros |
| Tredecillion | 42 | 1 followed by 42 zeros |
| Quattuordecillion | 45 | 1 followed by 45 zeros |
| Quindecillion | 48 | 1 followed by 48 zeros |
| Sexdecillion | 51 | 1 followed by 51 zeros |
| Septendecillion | 54 | 1 followed by 54 zeros |
| Octodecillion | 57 | 1 followed by 57 zeros |
| Novemdecillion | 60 | 1 followed by 60 zeros |
| Vigintillion | 63 | 1 followed by 63 zeros |
| Centillion | 303 | 1 followed by 303 zeros |
Notice the pattern in the names: they derive from Latin number prefixes. Quad- means four, quint- means five, sext- means six, and so on. The number in the prefix, plus one, multiplied by three gives you the number of zeros. For example, quadrillion: (4 + 1) × 3 = 15 zeros.
Short Scale vs Long Scale
Not every country agrees on what "billion" means. There are two competing systems:
Short Scale (US, UK, and most English-speaking countries)
Each name is one thousand times the previous: a billion is a thousand millions (10&sup9;), a trillion is a thousand billions (10¹²). This is the system used throughout this article and across most English-language media.
Long Scale (Continental Europe, most of Latin America)
Each name is one million times the previous: a billion (or "billiard" in some languages) is a million millions (10¹²), which equals one short-scale trillion. In Germany, France, Spain, and many other countries, what Americans call a "billion" is called a "milliard."
| Short Scale Name | Value | Long Scale Equivalent |
|---|---|---|
| Million | 10&sup6; | Million (same) |
| Billion | 10&sup9; | Milliard |
| Trillion | 10¹² | Billion |
| Quadrillion | 10¹&sup5; | Billiard |
| Quintillion | 10¹&sup8; | Trillion |
This difference causes real confusion in international contexts. When a European news source reports a national debt of "one billion euros," it may mean one trillion in American terms. Always check which scale is being used.
Real-World Comparisons
Large numbers are impossible to truly comprehend without context. Here are comparisons that give a sense of scale:
Millions (10&sup6;)
- One million seconds is about 11.5 days
- There are roughly 8 million species of living organisms on Earth
- The human body contains about 37 million cells per square centimeter of skin
Billions (10&sup9;)
- One billion seconds is approximately 31.7 years
- The world population reached 8 billion in November 2022
- There are roughly 100 billion neurons in the human brain
Trillions (10¹²)
- One trillion seconds is about 31,688 years — longer than recorded human civilization
- The US national debt exceeds 36 trillion dollars
- There are approximately 37 trillion cells in the human body
Quadrillions (10¹&sup5;) and Beyond
- An estimated 7.5 quadrillion grains of sand exist on Earth's beaches
- There are roughly 10 sextillion (10²²) stars in the observable universe
- The observable universe contains about 10&sup8;° atoms — a number so large it dwarfs any named number on this list
Googol and Googolplex
Two special numbers deserve their own section because they have become part of popular culture:
Googol (10¹°°)
A googol is 1 followed by 100 zeros. The term was coined in 1920 by nine-year-old Milton Sirotta, the nephew of American mathematician Edward Kasner. Despite its enormous size, a googol is actually less than the number of atoms in the observable universe raised to the power of 1.2 — which means it is a physically meaningless number, smaller than many quantities in physics and combinatorics.
The search engine Google gets its name from a deliberate misspelling of "googol," reflecting the founders' mission to organize a seemingly infinite amount of information.
Googolplex (10 to the power of googol)
A googolplex is 1 followed by a googol zeros — that is, 10 raised to the power of 10¹°°. This number is so absurdly large that it cannot be written out in full: even if you wrote one digit on every atom in the observable universe, you would run out of atoms long before finishing the number. A googolplex makes a googol look like zero by comparison.
How Large Numbers Are Used in Words
When writing large numbers in words, the same rules apply as for smaller numbers, just with more components. For example:
- 5,000,000 = five million
- 3,500,000,000 = three billion five hundred million
- 1,200,000,000,000 = one trillion two hundred billion
Each group of three digits gets its own scale word. Use our number-to-words converter to check any number instantly. For writing large amounts on checks, see our guide to writing checks.
Numbers Beyond Named Values
Mathematicians and scientists regularly work with numbers that exceed any standard name. For these, scientific notation is the standard: 3.0 × 10&sup8; is easier to work with than "three hundred million." In computing, numbers are stored in binary and can easily represent values with hundreds of digits.
Some notable extremely large numbers from mathematics include:
- Graham's number — So large that even the number of digits in Graham's number is incomprehensibly huge. It arose from a problem in combinatorics and was once the largest number ever used in a mathematical proof.
- Skewes' number — Related to the distribution of prime numbers. Approximately 10 to the power of 10 to the power of 10 to the power of 34.
- TREE(3) — A number from graph theory so unfathomably large that it makes Graham's number look microscopic.
Quick Reference
Here is a handy summary of the most commonly referenced large numbers. Bookmark this page for quick access, or explore individual numbers using the links below:
- Thousand = 10³ (3 zeros)
- Million = 10&sup6; (6 zeros)
- Billion = 10&sup9; (9 zeros)
- Trillion = 10¹² (12 zeros)
- Quadrillion = 10¹&sup5; (15 zeros)
- Quintillion = 10¹&sup8; (18 zeros)
- Googol = 10¹°° (100 zeros)
- Googolplex = 10 to the googol (a googol zeros)
For rules on when to spell out these numbers versus using digits, see our guide on numbers in legal and formal documents.
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