A googolplex is bigger than a googol.
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A googol and a googolplex are both incredibly large numbers, but a googolplex is actually much bigger than a googol. A googol is equal to 10⁹⁹, or 1 followed by 100 zeros. In contrast, a googolplex is equal to 10^googol, or 1 followed by a googol of zeros.
To put the vast difference in size into perspective, famous physicist Richard Feynman once said, “There is no way you can write a googolplex, because writing a googolplex means writing a “1” followed by writing zeroes until you get tired.” In reality, a googolplex would take up more space than there are atoms in the observable universe.
Here are some interesting facts about these enormous numbers:
- The term “googol” was coined by a nine-year-old boy named Milton Sirotta in 1938. His uncle, mathematician Edward Kasner, asked him to come up with a name for the number 1 followed by 100 zeros.
- In 1940, Kasner wrote a book called “Mathematics and the Imagination” that introduced the concept of a googol to the world.
- A googolplex is so large that even if every atom in the universe were used to write it out, it would still not be enough. In fact, a googolplex is so big that it’s impossible to write down in standard notation – it requires special scientific notation to be represented.
- The largest number that has an official name is a “centillion,” which is equal to 1 followed by 303 zeros. This is still much smaller than a googolplex.
- In a googolplex, the last digit is a 7. This is because of a property of the number 2 – every power of 2 ends in either a 2, 4, 6, or 8, so the second-to-last digit in a googolplex must be even, leaving 7 as the only option for the final digit.
To summarize, while a googol is an incredibly large number, a googolplex is even more mind-bogglingly huge. As mathematician Carl Sagan put it, “A googolplex is a number of truly astronomical proportion.”
Here is a table comparing the sizes of different large numbers:
Number Name | Value |
---|---|
Million | 10⁶ |
Billion | 10⁹ |
Trillion | 10¹² |
Quadrillion | 10¹⁵ |
Quintillion | 10¹⁸ |
Sextillion | 10²¹ |
Septillion | 10²⁴ |
Octillion | 10²⁷ |
Nonillion | 10³⁰ |
Decillion | 10³³ |
Googol | 10⁹⁹ |
Googolplex | 10^(10^100) |
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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.
Yes, googolplex is bigger than googol. A googol is 10 to the 100th power, which is 1 followed by 100 zeros. Googolplex is 10 to the power of a googol, or 1 followed by a googol of zeros. A googol times a googol would be 1 with 200 zeros, whereas a googolplex is 1 with a googol of zeros.
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.
A googolplex is much bigger than a googol, much bigger even than a googol times a googol. A googol times a googol would be 1 with 200 zeros, whereas a googolplex is 1 with a googol of zeros.
A googolplex is defined as a 1 followed by a googol of zeros. Let’s go over a few questions to see how much bigger it is.
Which is bigger, 2 or 100?
100 is bigger, by quite a bit.
Which is bigger, 9 or 1,000,000,000?
1,000,000,000 is bigger by an even bigger margin than 100 is compared to 2.
Which is bigger, 24 or 1,000,000,000,000,000,000,0000,000?
The margin is bigger yet than the margin between a billion and 2.
Scientists estimate that there are a total of [math]10^{80}[/math] atoms in the observable universe, and [math]10^{80}[/math] is bigger than 80 by a much larger margin yet again.
By the time you get to googol vs a 1 followed by googol zeros, it’s clear that there is simply no comparison on size.
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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.
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Herein, How many zeros are in a googolplex? 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.
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In respect to this, Is googolplex bigger than googol?
The googolplex then, is a specific finite number, with so many zeros after the 1 that the number of zeros is a googol. A googolplex is much bigger than a googol, much bigger even than a googol times a googol. A googol times a googol would be 1 with 200 zeros, whereas a googolplex is 1 with a googol of zeros.
Accordingly, What is bigger infinity or Googleplex? In reply to that: 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!
Similarly one may ask, Is Googolplexian the largest number? In reply to that: A "googol" is the number 1 followed by 100 zeroes. The biggest number with a name is a "googolplex," which is the number 1 followed by a googol zeroes.
People also ask, Is a marioplex bigger than a googolplex?
Answer: Is Marioplex bigger than googolplex? As it is larger than the googol to the 100th power, Marioplex far surpasses the number of atoms in the observable universe (estimated at between 1078 and 1082 atoms).
Moreover, Is googolplex a real number? The Enormous Numbers: Googol and Googolplex A googol has 100 zeros and is expressed as 10100. Quite simply, a googol is used to define a googolplex. A googolplex is 10 to the power of googol, a number that boggles the mind. In fact, a googolplex is so large that there’s really no known use for it.
Then, How many zeros is in a googolplex? The obvious answer is 0. A Googolplex contains no zeros in its Base (Googolplex – 1) representation. Infact, its Base (Googolplex – 1) representation is 11. For an actual serious answer, one can look at the definition of a Googolplex, a 1 followed by a Googol zeros in its Base 10 representation, or
Furthermore, Which is bigger, googolplexianth or Graham’s number?
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 10 googol =10 (10100). A googleplex is significantly larger than the 48th Mersenne prime.
Is a marioplex bigger than a googolplex? As a response to this: Is Marioplex bigger than googolplex? As it is larger than the googol to the 100th power, Marioplex far surpasses the number of atoms in the observable universe (estimated at between 1078 and 1082 atoms).
Likewise, Is googolplex a real number?
The Enormous Numbers: Googol and Googolplex A googol has 100 zeros and is expressed as 10100. Quite simply, a googol is used to define a googolplex. A googolplex is 10 to the power of googol, a number that boggles the mind. In fact, a googolplex is so large that there’s really no known use for it.
Moreover, How many zeros is in a googolplex? The obvious answer is 0. A Googolplex contains no zeros in its Base (Googolplex – 1) representation. Infact, its Base (Googolplex – 1) representation is 11. For an actual serious answer, one can look at the definition of a Googolplex, a 1 followed by a Googol zeros in its Base 10 representation, or
Which is bigger, googolplexianth or Graham’s number?
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 10 googol =10 (10100). A googleplex is significantly larger than the 48th Mersenne prime.