How Many Zeros in a Googolplexian?
How many zeros in a googolplexian? A googolplexian has a googolplex of zeros — making it 1 followed by 10(10100) zeros, written mathematically as 10googolplex. A googolplexian is one step above a googolplex on the tower of exponential numbers coined in recreational mathematics. Learn more about how many zeros in a googolplex.
A googolplexian has
10^(10¹⁰⁰)
zeros
- Written Form
- 1 followed by a googolplex zeros
- Scientific
- 10^(10^(10¹⁰⁰))
Verifying the Zero Count in a Googolplexian
The direct answer: exactly one googolplex of zeros. Since a googolplex is already 10100 zeros, the number of zeros in a googolplexian equals 10(10100).
| Number | Zeros | Notation |
|---|---|---|
| Googol | 100 | 10100 |
| Googolplex | 10100 (a googol) | 10(10100) |
| Googolplexian | 10(10100) (a googolplex) | 10(10(10100)) |
Each step multiplies the zero count by a staggering power — from 100 zeros (googol) to a googol of zeros (googolplex) to a googolplex of zeros (googolplexian). Learn more about googol zeros.
What Is 1 Followed by a Googolplex of Zeros?
That is precisely the definition of a googolplexian. Since a googolplex is itself unwritable, the googolplexian is unwritable to an entirely new degree — the amount of unwritable-ness is itself unwritable.
In tower notation, googolplexian is sometimes approximated as 10↑↑3 — a power tower of three tens: 10^(10^(10^100)).
Is Googolplexian the Biggest Named Number?
No. While a googolplexian is far beyond any practical use, mathematicians have defined numbers vastly larger still.
- Graham's number — requires Knuth's up-arrow notation; standard exponential towers can't express it
- Skewes' number — a rigorously defined bound from number theory, dwarfing a googolplexian
- TREE(3) — from combinatorics, incomprehensibly larger still
Where Googolplexian Sits
- Larger than
- A googolplex, a googol, and any named "-illion"
- Smaller than
- Graham's number, Skewes' number, TREE(3)
Zeros in a Googolplexian: FAQ
Is googolplexian bigger than a googolplex?
Quick answer
Yes — a googolplexian has a googolplex of zeros, vastly more than a googolplex's googol of zeros.
Can a googolplexian be written out?
Quick answer
No — it's unwritable to a degree beyond even the already-unwritable googolplex.
Is googolplexian a standard mathematical term?
It's used in recreational mathematics rather than formal mathematical literature, unlike googol and googolplex which are cited more broadly.
What's bigger than a googolplexian?
Graham's number, Skewes' number, and TREE(3) are all rigorously defined numbers larger than a googolplexian.
How is googolplexian written mathematically?
As 10googolplex.