Large Number Names Reference

Million, billion, trillion — short scale vs long scale.

Reference table of large number names from million to centillion, showing the power of ten and the differing values in the short-scale and long-scale naming systems. It runs free in your browser on Gera Tools, with nothing uploaded.

Last updated Source: Gera Tools

What is the difference between short scale and long scale?

In the short scale, each new name is a thousand times the previous one, so a billion is 10^9. In the long scale, each new name is a million times the previous one, so a billion (milliard) is 10^9 but a long-scale billion is 10^12. English uses the short scale; much of continental Europe uses the long scale.

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.

NameShort scaleLong scaleLong scale intermediate
Million10^610^6
Milliard / Billion (US)10^910^9 (milliard)
Billion (US) / Billion (EU)10^910^12
Trillion10^1210^1810^15 (billiard)
Quadrillion10^1510^24

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; a trillion = 10^(3×3+3) = 10^12. The exponent is 3n + 3 where n is the Latin prefix value.
  • Long scale: a billion = 10^(6×2) = 10^12; a trillion = 10^(6×3) = 10^18. The exponent is 6n where n is the Latin prefix value. Intermediate names (milliard, billiard, trilliard) sit at 6n + 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:

  1. If the source is American English (US media, US financial reports): assume short scale.
  2. If the source is a historical British text before roughly 1975: may use long scale.
  3. If the source is continental European (French, German, Spanish, Italian, etc.): long scale is standard in each language’s own writing.
  4. 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.