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Names for large numbers
Naming very large numbers is relatively easy. There are two main ways of naming a number: scientific notation and naming by grouping. For example, the number 500 000 000 000 000 000 000 can be called 5 x 10^{20} in scientific notation since there are 20 zeros behind the 5. If the number is named by grouping, it is five hundred quintillion (American) or 500 trillion (European).
When large numbers have many different decimals in them, such as 642 500 000 000, naming them with scientific notation is about the same, but with one difference. Still counting the number of numbers after the first number (in this case, after the 6 there are 11 numbers) you need to include the ones that are not zero in the formula, but after a decimal point. So 642 500 000 000 will be 6.425 x 10^{11}. When naming by grouping, each group of three numbers is listed with the name of the group. With the same number, it would be said to be 642 billion, 500 million (US) or 642 milliard, 500 million (Eur).
Contents
Some examples
Number  Scientific notation  Grouping 

600 000 000 000 000 000 000 000 000  6 x 10^{26}  600 septillion (quadrillion) 
765 476 250 000 000  7.6547625 x 10^{14}  765 trillion, 476 billion, 250 million 
145 000  1.45 x 10^{5}  145 thousand 
Forms of numbering
The American way or "Short form" for naming large numbers is different from the European way or "Long form" of naming large numbers. This is mainly because of American finance. Short form numbering is based on thousands and Long form is based on millions. Because of this, in Short form a billion is one thousand millions (10^{9}) while in Long form it is one million millions (10^{12}). The change in the United Kingdom to Short form numbering happened in 1974. Today, Short form is most commonly used in most English speaking countries.
Names for large numbers
Scientific notation 
American name  European name 

10^{0}  One  One 
10^{1}  Ten  Ten 
10^{2}  Hundred  Hundred 
10^{3}  Thousand  Thousand 
10^{4}  Ten Thousand  Ten Thousand 
10^{5}  Hundred Thousand  Hundred Thousand 
10^{6}  Million  Million 
10^{9}  Billion  Milliard 
10^{12}  Trillion  Billion 
10^{15}  Quadrillion  Billiard 
10^{18}  Quintillion  Trillion 
10^{21}  Sextillion  Trilliard 
10^{24}  Septillion  Quadrillion 
10^{27}  Octillion  Quadrilliard 
10^{30}  Nonillion  Quintillion 
10^{33}  Decillion  Quintilliard 
10^{36}  Undecillion  Sextillion 
10^{39}  Duodecillion  Sextilliard 
10^{42}  Tredecillion  Septillion 
10^{45}  Quattuordecillion  Septilliard 
10^{48}  Quindecillion  Octillion 
10^{51}  Sexdecillion  Octilliard 
10^{54}  Septdecillion  Nonillion 
10^{57}  Octodecillion  Nonilliard 
10^{60}  Novemdecillion  Decillion 
10^{63}  Vigintillion  Decilliard 
There is also the number googol, which is a 1 with 100 zeros behind it, and the number googolplex, which is a 1 with a googol of zeros behind it.
Other pages
Other websites
 Names for large and small numbers
 Names for large numbers
 Full list of large number names list sorted by 10^{n} and by word length
 Big numbers for students, which can name any numbers put into it (up to centillion)komi:ꙞѢԄԂԀ

