Yes, googolplex is a real number represented by 10^googol, where googol is a number equal to 1 followed by 100 zeros.
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Yes, googolplex is a real number represented by 10^googol, where googol is a number equal to 1 followed by 100 zeros. The term “googol” was coined by Milton Sirotta, nephew of the mathematician Edward Kasner, in 1938. Kasner wrote about the concept in his book “Mathematics and the Imagination,” stating that “a googolplex is much larger than a googol, but foolishly large numbers have a way of amusing people.”
Some interesting facts about googol and googolplex include:
A googol is so large that it exceeds the number of atoms in the observable universe.
If you were to write out a googol in standard decimal notation, it would require more than 300 pages of zeros.
The number is often used in discussions of probability and the likelihood of events occurring.
In popular culture, googol and googolplex have been referenced in movies, TV shows, and literature.
In the TV show “The Big Bang Theory,” physicist Sheldon Cooper famously named his online gaming handle “Dr. Sheldon Cooper” followed by a googolplex of nines.
To further illustrate the magnitude of these numbers, here is a table comparing googol and googolplex to some other large numbers:
|Googol||1 x 10^100|
|Googolplex||1 x 10^(10^100)|
|Graham’s number||An unimaginably large number used in a mathematical proof, estimated to be around 3↑↑↑↑3 or 3 to the power of itself, repeated three times.|
|TREE(3)||Another incredibly large number used in mathematics, far exceeding the value of Graham’s number.|
In conclusion, googol and googolplex are both real numbers, with googolplex being an even larger representation of a truly massive quantity. As Kasner observed, these numbers are essentially meaningless in practical terms, but can still inspire awe and fascination in those who contemplate them.
See a related video
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.
There are other opinions
A googol is 10 to the 100th power, which is 1 followed by 100 zeros. While this is an unimaginably large number, there’s still an infinite quantity of larger numbers. One such number is googolplex, which is 10 to the power of a googol, or 1 followed by a googol of zeros.
Is Googolplexian a real number? A googolplex is a 1 followed by a googol of zeros. It’s impossible to write out, but in scientific notation it looks like 1 x 1010^100.
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…
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How many zeros are in a googolplex? 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.
Accordingly, Is googolplex higher than infinity?
The reply will be: Googolplex may well designate the largest number named with a single word, but of course that doesn’t make it the biggest number. In a last-ditch effort to hold onto the hope that there is indeed such a thing as the largest number… Child: Infinity! Nothing is larger than infinity!
Correspondingly, Why is it impossible to write out a googolplex? Answer: As massive as a googol is, a googolplex is many, many times larger, such that it’s impossible to write all the zeros out.
What is a number with 100 zeros after 1 called? Answer: A googol is 1 followed by 100 zeros.
Considering this, Is Googleplex a real number?
In 1940, the mathematician Edward Kasner published the book "Mathematics and the Imagination", in which he popularized the words googol and googolplex which his nephew suggested as names for big numbers. The much larger number googolplex has been defined as 1 followed by a googol zeros. While this number can easily be written as
Besides, Is Googleplex the largest number?
Response to this: What is the biggest number googolplex? Despite having more numbers than atoms in the universe, trying to prove that your integer is bigger than anyone else’s integer has continued through the centuries. The biggest number referred to regularly is a googolplex (10googol), which works out as 1010^100.
Simply so, How many zeros are in a googolplex?
Response will be: There are 10 zeroes in a googolplex. The number googolplex is bigger than , but there are one tenths as many zeroes in a googolplex than the value of the number 10. I hope this makes sense. This question is kind of strange, since it answers itself.