Abbreviating large integers

[satawneh]

Hello everybody,

What is the best way to abbreviate large integers such as N=171995913604242094026669 using Differential equations or any other technique?

Thank you so much in advance.
Samer.

 

[bt359]

Hello everybody,

What is the best way to abbreviate large integers such as N=171995913604242094026669 using Differential equations or any other technique?

Thank you so much in advance.
Samer.

the only thing i could think of is:
171995913604242094026669 = 1.72 x 10^23

 

[stapel]

What is the best way to abbreviate large integers such as N=171995913604242094026669 using Differential equations or any other technique?

The first reply showed a way to present a shortened version, which will work as a truncation (that is, as a shortening) as long as you don't mind losing most of the information. But scientific notation is simple pre-algebra; it's hardly a "technique" anything near as advanced as differential equations. So it's likely that you are intending something way different from what we're guessing.

Please provide your book's (or class') definition of the "abbreviation" of integers. When you reply, please show all of your thoughts and efforts so far. With this information, we may be able to figure out what it is that you're really asking. Thank you!

 

[HallsofIvy]

You might use a variation of Godel's numbering: determine the prime factorization of the number- $\displaystyle 2^{n_1}3^{n_2}5^{n_3}7^{n_4}\cdot\cdot\cdot$ then write the exponents- $\displaystyle (n_1)(n_2)(n_3)(n_4)\cdot\cdot\cdot$.