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**ganesh****Administrator**- Registered: 2005-06-28
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**Names of large numbers - Prefixes**

This article lists and discusses the usage and derivation of names of large numbers, together with their possible extensions.

Two naming scales have been used in English and other European languages since the early modern era – the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-English-speaking areas, including continental Europe and Spanish-speaking countries in Latin America. These naming procedures are based on taking the number n occurring in

(short scale) or (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion.Names of numbers above a trillion are rarely used in practice; such large numbers have practical usage primarily in the scientific domain, where powers of ten are expressed as 10 with a numeric superscript.

Indian English does not use millions, but has its own system of large numbers including lakhs and crores. English also has many words, such as "zillion", used informally to mean large but unspecified amounts.

**Standard dictionary numbers**

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
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**Large Numbers**

Large numbers are numbers above one million that are usually represented either with the use of an exponent such as

or by terms such as billion or thousand millions that frequently differ from system to system. The American system of numeration for denominations above one million was modeled on a French system, but in 1948 the French system was changed to correspond to the German and British systems. In the American system each of the denominations above 1,000 millions (the American billion) is 1,000 times the preceding one (one trillion = 1,000 billions; one quadrillion = 1,000 trillions). In the British system each of the denominations is 1,000,000 times the preceding one (one trillion = 1,000,000 billions) with the sole exception of milliard, which is sometimes used for 1,000 millions. In recent years British usage has reflected widespread and increasing use of the American system.Have you ever wondered what number comes after a trillion? Or how many zeros there are in a vigintillion? Some day you might need to know this for a science or math class, or if you happen to enter one of several mathematical or scientific fields.

**Numbers Bigger Than a Trillion**

The digit zero plays an important role as you count very large numbers. It helps to track these multiples of 10 because the larger the number is, the more zeros are needed.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
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Have a look at these Ginormous Numbers:

.

**Googol**

A googol is the large number

. In decimal notation, it is written as the digit 1 followed by one hundred zeroes: 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.**Etymology**

The term was coined in 1920 by 9-year-old Milton Sirotta (1911–1981), nephew of U.S. mathematician Edward Kasner. He may have been inspired by the contemporary comic strip character Barney Google. Kasner popularized the concept in his 1940 book *Mathematics and the Imagination*. Other names for this quantity include ten duotrigintillion on the short scale, ten thousand sexdecillion on the long scale, or ten sexdecilliard on the Peletier long scale.

**Size**

A googol has no special significance in mathematics. However, it is useful when comparing with other very large quantities such as the number of subatomic particles in the visible universe or the number of hypothetical possibilities in a chess game. Kasner used it to illustrate the difference between an unimaginably large number and infinity, and in this role it is sometimes used in teaching mathematics.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
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**Centillion**

Celtillion a cardinal number represented in the U.S. by 1 followed by 303 zeros, and in Great Britain by 1 followed by 600 zeros.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
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**Skewes's number**

**Part - I**

In number theory, Skewes's number is any of several large numbers used by the South African mathematician Stanley Skewes as upper bounds for the smallest natural number

for which,where is the prime-counting function and li is the logarithmic integral function. Skewes's number is much larger, but it is now known that there is a crossing near It is not known whether it is the smallest.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
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**Skewes's number**

**Part - II**

Skewes's numbers

John Edensor Littlewood, who was Skewes's research supervisor, had proved in Littlewood (1914) that there is such a number (and so, a first such number); and indeed found that the sign of the difference

Skewes (1933) proved that, assuming that the Riemann hypothesis is true, there exists a number x violating

belowIn Skewes (1955), without assuming the Riemann hypothesis, Skewes proved that there must exist a value of x below

Skewes's task was to make Littlewood's existence proof effective: exhibiting some concrete upper bound for the first sign change. According to Georg Kreisel, this was at the time not considered obvious even in principle.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
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**Googolplex**

A googolplex is the number

, or equivalently, or . Written out in ordinary decimal notation, it is 1 followed by zeroes; that is, a 1 followed by a googol of zeroes.**History**

In 1920, Edward Kasner's nine-year-old nephew, Milton Sirotta, coined the term googol, which is

, and then proposed the further term googolplex to be "one, followed by writing zeroes until you get tired". Kasner decided to adopt a more formal definition because "different people get tired at different times and it would never do to have Carnera [be] a better mathematician than Dr. Einstein, simply because he had more endurance and could write for longer". It thus became standardized to , due to the right-associativity of exponentiation.**Size**

A typical book can be printed with

zeros (around 400 pages with 50 lines per page and 50 zeros per line). Therefore, it requires such books to print all the zeros of a googolplex (that is, printing a googol zeros). If each book had a mass of 100 grams, all of them would have a total mass of kilograms. In comparison, Earth's mass is kilograms, the mass of the Milky Way galaxy is estimated at kilograms, and the total mass of all the stars in the observable universe is estimated at .To put this in perspective, the mass of all such books required to write out a googolplex would be vastly greater than the masses of the Milky Way and the Andromeda galaxies combined (by a factor of roughly

), and greater than the mass of the observable universe by a factor of roughly .**In pure mathematics**

In pure mathematics, there are several notational methods for representing large numbers by which the magnitude of a googolplex could be represented, such as tetration, hyperoperation, Knuth's up-arrow notation, Steinhaus–Moser notation, or Conway chained arrow notation.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Hicies87****Member**- From: Portsmouth
- Registered: 2022-01-22
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The naming of large numbers has practical significance in many scientific disciplines, including astronomy, physics, and chemistry, where large and small quantities are encountered frequently. Scientific notation, which is a way to express numbers in terms of powers of ten, is widely used to represent large numbers.

In addition to the long and short scales, there are also other numerical systems that are used in different languages and cultures. For example, the Chinese numerical system is based on multiples of ten thousand, with a new unit name assigned to every fourth power of ten thousand.

In mathematics, large numbers are studied in the field of number theory, where researchers investigate the properties of numbers and their relationships to other mathematical objects. One of the fundamental concepts in number theory is the prime number, which is a natural number greater than one that cannot be expressed as a product of two smaller natural numbers.

Moreover, large numbers are also relevant in computer science, where they are used in the analysis of algorithms, data structures, and computational complexity theory. In computer science, large numbers are also used in cryptography, where they are used to secure communication by encrypting and decrypting data.

In summary, the naming of large numbers is a topic of practical significance in many scientific disciplines. Understanding the different numerical systems and scales is important not only in mathematics, but also in astronomy, physics, chemistry, and computer science.

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