"Yet Larger" Numbers: My Own System, Continued Continued

We continue where we left off - at the limits of the Micrillion. We can obviously continue the Micrillion's SI Prefix trend, with

1000x+1	Name
E6	Micrillion
E9	Nanillion
E12	Picillion
E15	Femtillion
E18	Attillion
E21	Zeptillion
E24	Yoctillion

We then run into another issue - we've ran out of SI prefixes. Whilst I ponder how to get over that barrier, here's a little diversion.

Googols and Googolplexes

Googols and Googolplexes are some popular numbers in Googoly. But just how large are they? To find out, we express them in a notation common to both the "-illions" and Googols - that is, in terms of exponentation. We can then see that:

• Googol = 10¹⁰⁰
• Googolplex = 10¹⁰¹⁰⁰

So, where do these stand compared to the -illions? 10¹⁰⁰ is equal to (1000^1/3)¹⁰⁰, which by index laws can be simplified to 1000^33.3̄. A googolplex is (1000^1/3)^100033.3̄, which is equal to around 1000^{3 × 1099}. This means that the Googol was beat long ago, and equals just over a Dutrigintillion. We're yet to hit a Googolplex (on my table, it would be in the 3E99-1 spot). Extending SI prefixes will be fun.