Naming the large numbers
Large numbers have standard names, but two competing systems — the short scale and the long scale — assign different values to the same word past a million. This reference lists the names from million to centillion with the power of ten each represents in both systems, plus a search.
The two systems side by side
In the short scale, used across English-speaking countries, each successive name
is 1,000 times larger than the last: million 10^6, billion 10^9, trillion
10^12, and so on. In the long scale, used in much of continental Europe, each
named step is 1,000,000 times larger, so the long-scale billion is 10^12 and
a milliard fills the 10^9 slot. The table shows both powers side by side, and
the search matches on name or exponent.
| Name | Short scale | Long scale | Long scale intermediate |
|---|---|---|---|
| Million | 10^6 | 10^6 | — |
| Milliard / Billion (US) | 10^9 | — | 10^9 (milliard) |
| Billion (US) / Billion (EU) | 10^9 | 10^12 | — |
| Trillion | 10^12 | 10^18 | 10^15 (billiard) |
| Quadrillion | 10^15 | 10^24 | — |
The word “billion” is the classic point of confusion: it means 10^9 in American
English but was long used to mean 10^12 in French and German (and in British
English before 1974). News from continental Europe and scientific texts in some
European languages may still use the long-scale sense, though international
scientific writing now generally follows SI prefixes (giga = 10^9, tera = 10^12)
rather than -illion names.
How the naming series is constructed
Both scales derive their names from Latin number prefixes — bi (2), tri (3),
quadri (4), and so on:
- Short scale: a
billion= 10^(3×2+3) = 10^9; atrillion= 10^(3×3+3) = 10^12. The exponent is3n + 3wherenis the Latin prefix value. - Long scale: a
billion= 10^(6×2) = 10^12; atrillion= 10^(6×3) = 10^18. The exponent is6nwherenis the Latin prefix value. Intermediate names (milliard, billiard, trilliard) sit at6n + 3.
This is why the long-scale names are “doubly” large — the prefix counts millions of the previous level, not thousands.
Beyond trillion: names you rarely encounter
Past trillion, the names become largely academic outside financial reporting, astronomy, and informatics:
- Quadrillion (10^15 short): sometimes appears in discussions of bytes (petabyte = 10^15 bytes by SI prefix).
- Quintillion (10^18 short): total number of grains of sand on Earth is estimated in this range.
- Sextillion (10^21 short), Septillion (10^24 short): occasionally used in chemistry and physics.
- Centillion (10^303 short, 10^600 long): the largest named number in most dictionaries.
- Googol (10^100): outside the standard series but widely known; Google’s name was an intentional misspelling.
Practical impact for reading numbers in context
When reading a number with -illion in context:
- If the source is American English (US media, US financial reports): assume short scale.
- If the source is a historical British text before roughly 1975: may use long scale.
- If the source is continental European (French, German, Spanish, Italian, etc.): long scale is standard in each language’s own writing.
- If the source is scientific literature: check whether SI prefixes are used instead (they are unambiguous).
When exact magnitude matters — in financial modelling, scientific calculations, or legal documents — write out the full number with commas or use scientific notation to eliminate ambiguity entirely.