### Place Values After Million

If you asked a friend or relative what place value comes after a million, what would their answer be? Many would likely be able to answer a billion and some would get a trillion, but it is very unlikely that they would get anything beyond a trillion. The reason these numbers are not common knowledge is because they are not typically used outside of science. We sometimes use "billions" to descibe the accumulated wealth of the richest men in the world (Bill Gates, Mark Zuckerberg, etc.) and  we can use "trillions" to express the United States national debt (\$14 trillion as of 2011). However, it is less often that we hear that the Orion Nebula is approximately 7 quadrillion miles away.
Here are some place values greater than a million:
• Million: 1,000,000
• Billion: 1,000,000,000
• Trillion: 1,000,000,000,000
• Quadrillion: 1,000,000,000,000,000
• Quintillion: 1,000,000,000,000,000,000
• Nonillion: 1,000,000,000,000,000,000,000,000,000,000
• Decillion: 1,000,000,000,000,000,000,000,000,000,000,000
• Googol: 1 followed by 100 zeros
• Centillion: 1 followed by 303 zeros
• Googolplex: 1 followed by a googol zero  s

How are these numbers formed?

To answer this question, we need to look at the roots of each place value: the mil in million represents one, the bi in billion equals two, the tri in trillion equals three, and so on. These numbers stand for the "n" in the equation 103n+3.  This is a general equation which represents place value written in exponential notation. Here's an example:

Million                MIL                  n = 1                    103n+3  =  103n+3  =  103n+3  =  1,000,000

Billion                 BIL                    n = 2                   103n+3  =  103n+3  = 103n+3  =  1,000,000,000

Trillion                TRI                    n = 3                   103n+3  =  103n+3  =  103n+3  =  1,000,000,000,000

etc...

What is the biggest number?

The largest named number I could find is googolplex. This number was coined by Edward Kastner in 1938. His nine year old nephew  coined the term googol to represent 10100, which he believed to be the largest number in the universe. Kastner then created googolplex to show him that there is no largest number because any number can be made larger by performing operations to it. It is this concept that mathematicians are refering to when we use the term infinity.

How long would it take to count to a million? A billion?

If each count was one second long, it woud take 12 days to count to a million and 32 years to count to a billion. In fact, if you started counting when the universe was first formed you would only be at approximately 433,917,000,000,000,000 or about 434 quadrillion.

References
Fact Monster/Information Please® Database, © 2007 Pearson Education, Inc.

2001 by Russ Rowlett and the University of North Carolina at Chapel Hill

There are more place values listed below:

 Place Value Number of Zeroes Exponential Notation Thousand 3 103 Million 6 106 Billion 9 109 Trillion 12 1012 Quadrillion 15 1015 Quintillion 18 1018 Hextillion 21 1021 Septillion 24 1024 Octillion 27 1027 Nonillion 30 1030 Decillion 33 1033 Undecillion 36 1036 Duodecillion 39 1039 Tredecillion 42 1042 Quattuordecillion 45 1045 Quindecillion 48 1048 Hexdecillion 51 1051 Septendecillion 54 1054 Octodecillion 57 1057 Novemdecillion 60 1060 Vigintillion 63 1063 Unvigintillion 66 1066 Duovigintillion 69 1069 Trevigintillion 72 1072 Quattourvigintillion 75 1075 Quinvigintillion 78 1078 Hexvigintillion 81 1081 Septenvigintillion 84 1084 Octovigintillion 87 1087 Novemvigintillion 90 1090 Trigintillion 93 1093 Untrigintillion 96 1096 Duotrigintillion 99 1099 Googol 100 10100 Googolplex 10100 10(10100)
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