No, a googolplex is 10 to the power of googol, while a googolplexian is 10 to the power of a googolplex.
And now, more specifically
A googolplex and a googolplexian are two different numbers in the realm of mathematics. A googolplex is expressed as 10 to the power of googol, which is a number represented by 1 followed by 100 zeroes. On the other hand, a googolplexian is 10 to the power of a googolplex, or 1 followed by a googolplex number of zeroes.
To put these numbers into perspective, renowned mathematician Edward Kasner, who named the googol and googolplex, remarked that “there is no need for them in any physical, astronomical, or other important work.” They are purely theoretical numbers used in mathematical discussions and research.
Another interesting fact is that a googolplex is such a large number that it cannot be physically written out, as it would require more space than the entire universe.
To further understand the magnitude of these numbers, the table below compares them to other astronomical and mathematical quantities:
| Quantity | Notation |
|---|---|
| Number of atoms in the observable universe | 10 to the power of 80 |
| Googol | 10 to the power of 100 |
| Googolplex | 10 to the power of 10 to the power of 100 |
| Planck volume | 10 to the power of -99 |
| Planck time | 10 to the power of -44 |
In summary, while a googolplex and a googolplexian may sound similar, they are vastly different numbers. As Kasner stated, these numbers serve a theoretical purpose in mathematics and do not have practical applications in the physical world.
Response video to “Is a googolplex the same as a googolplexian?”
Numberphile discusses the enormous size of a googol, which is 1 followed by 100 zeros, larger than the number of particles in the universe. However, a googolplex, which is 10 raised to the power of a googol, is so large that it cannot be written down even if every particle in the universe were used for it. A person or object occupying a meter cubed of space would have roughly 10 to the power of 10 to the power of 70 possible states, much smaller than a googolplex. If the universe were googolplex meters across, there would be repeating volumes of one meter cubed and eventually, an entire observable universe would repeat, highlighting the vastness of the number.
Additional responses to your query
A googolplex is a number that has 10 to the power of googol zeros, which is a number that has 100 zeros. A googolplex is a number with a 1 followed by 100 zeros. Googolplexian is one step further than Googolplex, with a 1 followed by a googolplex zeros.
To provide context, a googolplex is a number that has 10 to the power of googol zeros. A googol is a number that has 100 zeros. So, a googolplex is a number with a 1 followed by 100 zeros. And Googolplexian is one step further than Googolplex, with a 1 followed by a googolplex zeros.
Googolplexian ➦ (humorous) The number 10 raised to the power of one googolplex. 0 Googolplex ➦ A googolplex is the number 10googol, or equivalently, 10 (10100). Written out in ordinary decimal notation, it is 1 followed by 10100 zeroes; that is, a 1 followed by a googol zeroes.
Your question is very intetesting, but it is not quite clear. Let me ask you first: “What do you mean by an “actual” number?”
If you think there are numbers which “exist” in the physical world, then you are mistaken. No number is known to “exist” physically. A number is an abstract concept invented by humans, but it is useful to describe many important facts of the underlying reality. May I ask you, have you ever seen number “two”? I do not mean the symbol “2” – of course, you have seen it a lot of times. I do not even mean the word “two” written as three latin letters (“t”, “w”, “o”). In other languages, and in other writing systems this number can be represented quite diferently. But I mean the number itself: did you really see it? The answer is “no”. Of course, you can say you have seen two persons walking together, you have seen two letters composing a word (like “be”), you have seen two buildings standing nearby, but is it “really” number “two”? Nope: they are just persons, lette…
I am confident you will be intrigued
How many zeros are in a Googolplexian?
As an answer to this: 10100 zeroes
Written out in ordinary decimal notation, it is 1 followed by 10100 zeroes; that is, a 1 followed by a googol of zeroes.
Similar
What is bigger than Googolplexian?
What’s bigger than a googolplex? Even though a googolplex is immense, Graham’s number and Skewes’ number are much larger. Named after mathematicians Ronald Graham and Stanley Skewes, both numbers are so large that they can’t be represented in the observable universe.
What is a 1 followed by a hundred zeros called?
Response will be: A googol is 1 followed by 100 zeros.
Is Googolplexian bigger than Graham number?
The reply will be: (This might sound familiar, as Google was named after this number, though they got the spelling wrong.) Graham’s number is also bigger than a googolplex, which Milton initially defined as a 1, followed by writing zeroes until you get tired, but is now commonly accepted to be 10googol=10(10100).
What is the difference between a googol and a googolplex?
Response to this: A Googol is defined as 10100 10 100. A Googolplex is defined as 10Googol 10 Googol. A Googolplexian is defined as 10Googolplex 10 Googolplex. Intuitively, it seems to me that Graham’s number is larger (maybe because of it’s complex definition). Can anybody prove this?
What is a googolplex number?
The answer is: One such number is googolplex, which is 10 to the power of a googol, or 1 followed by a googol of zeros. The word googol was introduced in Mathematics and the Imagination, a book written by Edward Kasner and James R. Newman in 1940 to survey the field of mathematics for the layperson.
What is 10a googolplex?
Answer will be: A googolplex is the number 10 googol, equivalent to 10 10100 or 10 Ten duotrigintillion or 1010,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000. Like the number googol, googolplex was thought of by Milton Sirotta, the nephew of mathematician Edward Kasner .
What is the scientific notation for a googolplex?
Answer will be: The scientific notation for a googolplex is 1 x 10 10^100 As massive as a googol is, a googolplex is many, many times larger, such that it’s impossible to write all the zeros out. There’d be ten-duotrigintillion of them! Counting to a googolplex would be even more impossible.
What is the difference between a googol and a googolplex?
In reply to that: A Googol is defined as 10100 10 100. A Googolplex is defined as 10Googol 10 Googol. A Googolplexian is defined as 10Googolplex 10 Googolplex. Intuitively, it seems to me that Graham’s number is larger (maybe because of it’s complex definition). Can anybody prove this?
What is a googolplex number?
The reply will be: One such number is googolplex, which is 10 to the power of a googol, or 1 followed by a googol of zeros. The word googol was introduced in Mathematics and the Imagination, a book written by Edward Kasner and James R. Newman in 1940 to survey the field of mathematics for the layperson.
What is 10a googolplex?
A googolplex is the number 10 googol, equivalent to 10 10100 or 10 Ten duotrigintillion or 1010,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000. Like the number googol, googolplex was thought of by Milton Sirotta, the nephew of mathematician Edward Kasner .
What is the scientific notation for a googolplex?
Response: The scientific notation for a googolplex is 1 x 10 10^100 As massive as a googol is, a googolplex is many, many times larger, such that it’s impossible to write all the zeros out. There’d be ten-duotrigintillion of them! Counting to a googolplex would be even more impossible.