Large numbers, but not infinite

base -illion
1. million
2. billion
3. trillion
4. quadrillion
5. quintillion
6. sextillion
7. septillion
8. octillion
9. nonillion
10. decillion
20. vigintillion
30. trigintillion
40. quadragintillion
50. quinquagintillion
60. sexagintillion
70. septuagintillion
80. octogintillion
90. nonagintillion
100. centillion
200. ducentillion
300. trecentillion
400. quadringentillion
500. quingentillion
600. sescentillion
700. septingentillion
800. octingentillion
900. nongentillion
1000. millillion
10,000. myrillion
1 million. micrillion
1 billion. nanillion
1 trillion. picillion
1 quadrillion. femtillion
1 quintillion. attillion
1 sextillion. zeptillion
1 septillion. yoctillion
1 octillion. xonillion
1 nonillion. vecillion
1 decillion. mecillion
1 centillion. hectillion
1 millillion. killillion
1 micrillion. megillion
1 nanillion. gigillion
1 picillion. terillion
1 femtillion. petillion
1 attillion. exillion
1. zeptillion. zettillion
1 yoctillion. yottillion
1 xonillion. xennillion
1 vecillion. dakillion
1 mecillion. hendillion
1 hectillion. hotillion
1 killillion. kalillion
1 megillion. mejillion
1 gigillion. gijillion
1 terillion. astillion
1 petillion. lunillion
1 exillion. fermillion
1 zettillion. jovillion
1 yottillion. solillion
1 xennillion. betillion
1 dakillion. glocillion
1 hendillion. gaxillion
1 gaxillion. gaxillion 1
1 gaxillion 1. gaxillion 2
1 gaxillion 1000 gaxillion. gogillion
1 gogillion 1000 gogillion. goshillion
1 goshillion 1000 goshillion. gorillion
1 gorillion 1000 gorillion. gagaillion
1 gagaillion 1000 gagaillion. gitillion
1 gitillion 1000 gitillion. gavishillion

gavishilllions of eons later. gaxigillion

googolplex (googol 1)
googolplexian (googol 2)
googoltriplex (googol 3)
googoldecaplex (googol 10)
googolcentaplex (googol 100)
googolmilliplex (googol 1000 millillion)
googol 1000 gaxillion
googol 1000 gavishillion
googol gaxigillion
googol, say "googol" googol say googol, googol say googol, then repeat this googol say googol, googolplex more times, googolplex times = super googolplex
keep creating super googolplex greater plexes for super googolplex eons = mega googolplex