Definition:Number-Naming System/Short Scale

Definition
The short scale system is the number-naming system which uses:
 * the word million for $10^6 = 1 \, 000 \, 000$
 * the Latin-derived prefixes bi-, tri-, quadri-, quint-, etc. for each further multiple of $1 \, 000$, appended to the root -(i)llion, corresponding to the indices $2$, $3$, $4$, $5$, $\ldots$

Thus:

Thus one $n$-illion equals $1000 \times 10^{3 n}$ or $10^{3 n + 3}$

Prefixes
Further prefixes can be created by combining them in various combinations to indicate addition or multiplcation of indices, for example:


 * one primo-vigesimo-centillion: $10^{366} = 10^{3 \times 121 + 3}$


 * one milli-millillion: $10^{3 \, 000 \, 003} = 10^{3 \times \ 1, 000 \, 000 + 3}$

Also see

 * Definition:Long Scale