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From: Invisible
Subject: Astromonical numbers
Date: 11 Jun 2009 06:53:34
Message: <4a30e22e@news.povray.org>
You know when somebody says that something is "astronomically big"?

...well, it turns out astronomers use some pretty freakin' big numbers!! o_O



Anyway, I have collected the following series of numbers from Wolfram Alpha:

6.5 10^9  Number of people currently alive.
1.1 10^11 Number of people who have ever lived.
3   10^11 Number of stars in the Milky Way galaxy.
2   10^13 Number of red blood cells in an adult human.

     10^21 Number of grains of sand on Earth (currently).
6.0 10^23 Number of atoms in 12 g of Carbon-12.

5.2 10^49 Number of possible chess positions.

8.1 10^53 Number of elements in The Monster Group.

     10^80 Number of atoms in the observable universe.

I note there's quite a few gaps in there, so I turned to Wikipedia to 
try to fill them. Check these out:

4.33 10^19 Number of valid combinations for a Rubik's Cube.

8 10^10 Number of galaxies in the universe.
5 10^22 Number of stars in the universe.

4 10^11 Number of stars in a "typical" galaxy.

   10^57 Number of H atoms in a "typical" star.
4 10^68 Number of H atoms in a "typical" galaxy.

2 10^30 Kg  Mass of a "typical" star.
4 10^41 Kg  Mass of a "typical" galaxy.
3 10^52 Kg  Mass of the observable universe (exluding Dark Matter).

So, there's a few numbers there.

With suitable queries, you can also get Wolfram Alpha to spit out the 
following numbers:

8.8  10^26 m    Diammeter of the observable universe.
4.32 10^17 s    Age of the universe.
3    10^22 m^3  Volume of the observable universe.

These are harder to get though.

So far, I have yet to find anything outside mathematics that even 
remotely approaches a googol.


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From: Invisible
Subject: Re: Astromonical numbers
Date: 11 Jun 2009 06:57:41
Message: <4a30e325@news.povray.org>
Invisible wrote:

> 3    10^22 m^3  Volume of the observable universe.

Erm, no.

3 * 10^80 m^3

(Jesus, I wonder what else I got wrong?)


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From: Invisible
Subject: Re: Astromonical numbers
Date: 11 Jun 2009 07:30:38
Message: <4a30eade$1@news.povray.org>
I think I can add another number to my list: How many pharmacutical 
analysts does it take to do a 9 year old girl's school homework? :-P

(Seriously, these two ladies are confusing the stud out of themselves 
with these long division problems...)


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From: Tim Cook
Subject: Re: Astromonical numbers
Date: 11 Jun 2009 08:19:12
Message: <4a30f640$1@news.povray.org>
Invisible wrote:
> So far, I have yet to find anything outside mathematics that even 
> remotely approaches a googol.

256^307200  Number of unique 8-bit 640x480 images.

Assuming flat greyscale, 0=black, 255=white, how many are recognisable 
as 'something'?  How many of those are similar apart from 'noise', 
rotation, and other minor distortion?  How many of those are legible 
text?  ...that are of a monkey at a typewriter that visibly contains a 
phrase from Shakespeare? etc

--
Tim Cook
http://empyrean.freesitespace.net


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From: Ken
Subject: Re: Astromonical numbers
Date: 11 Jun 2009 09:52:53
Message: <4a310c35$1@news.povray.org>
"Invisible" <voi### [at] devnull> wrote in message 
news:4a30e22e@news.povray.org...
> 5 10^22 Number of stars in the universe.

5 10^30 Number of bacteria on the planet Earth

Assuming bacteria is not unique to this planet how many bacteria inhabit the 
known universe?


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From: andrel
Subject: Re: Astromonical numbers
Date: 11 Jun 2009 11:21:44
Message: <4A312108.1060303@hotmail.com>
On 11-6-2009 12:53, Invisible wrote:
> You know when somebody says that something is "astronomically big"?
> 
> ...well, it turns out astronomers use some pretty freakin' big numbers!! 
> o_O
> 
> 
> 
> Anyway, I have collected the following series of numbers from Wolfram 
> Alpha:
> 
> 1.1 10^11 Number of people who have ever lived.

I don't believe that number. I think if you add all people since the 
last ice age you get someting like 10-20 e9. This number also seems to 
assume that there have been on average .5-1 million people on this earth 
for the past 2 million years or so (half that if you think mankind is 4 
million years old). I'd like to see evidence for that.


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From: Darren New
Subject: Re: Astromonical numbers
Date: 11 Jun 2009 12:12:10
Message: <4a312cda$1@news.povray.org>
Invisible wrote:
> 6.0 10^23 Number of atoms in 12 g of Carbon-12.

You realize why this number is important, right? :-)

> 8.1 10^53 Number of elements in The Monster Group.

I haven't any idea what this is. :-)

<google>  Oh, see, this is the sort of thing I'd have to spend a day chasing 
references around to even figure out what this means.

> 4 10^68 Number of H atoms in a "typical" galaxy.

> 4 10^41 Kg  Mass of a "typical" galaxy.

68-23=45 45-3=42. One power of ten missing.

> 3 10^52 Kg  Mass of the observable universe (exluding Dark Matter).

I wonder if they're just talking about rest mass or what.

-- 
   Darren New, San Diego CA, USA (PST)
   Insanity is a small city on the western
   border of the State of Mind.


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From: Orchid XP v8
Subject: Re: Astromonical numbers
Date: 11 Jun 2009 13:13:41
Message: <4a313b45$1@news.povray.org>
>> 6.0 10^23 Number of atoms in 12 g of Carbon-12.
> 
> You realize why this number is important, right? :-)

What, Avagadro's number? (Or however the hell you spell it...)

>> 8.1 10^53 Number of elements in The Monster Group.
> 
> I haven't any idea what this is. :-)
> 
> <google>  Oh, see, this is the sort of thing I'd have to spend a day 
> chasing references around to even figure out what this means.

Apparently, there's a class of groups which can be completely classified 
into something like 6 different kinds, except for a small handful of 
unique groups that don't fit this classification. The "monster group" is 
the largest such - and it's frickin' HUGE!

Wait - you know what a group is, right?

>> 4 10^68 Number of H atoms in a "typical" galaxy.
> 
>> 4 10^41 Kg  Mass of a "typical" galaxy.
> 
> 68-23=45 45-3=42. One power of ten missing.

I fail.

>> 3 10^52 Kg  Mass of the observable universe (exluding Dark Matter).
> 
> I wonder if they're just talking about rest mass or what.

I'm fairly sure it's rest mass, yes. Basically, number of atoms times 
mass of an atom.

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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From: Darren New
Subject: Re: Astromonical numbers
Date: 11 Jun 2009 13:58:45
Message: <4a3145d5$1@news.povray.org>
Orchid XP v8 wrote:
>>> 6.0 10^23 Number of atoms in 12 g of Carbon-12.
>>
>> You realize why this number is important, right? :-)
> 
> What, Avagadro's number? (Or however the hell you spell it...)

Yes. You know why anyone cares about Avagadro's number? I.e., what the basic 
thing it's measuring is?

> Wait - you know what a group is, right?

Vaguely. I'd have to look up the definition again to be sure I'm not 
confusing it with a ring or field or something. My higher-level alegbra is 
way old. :-)

>>> 4 10^68 Number of H atoms in a "typical" galaxy.
>>
>>> 4 10^41 Kg  Mass of a "typical" galaxy.
>>
>> 68-23=45 45-3=42. One power of ten missing.
> 
> I fail.

No, it just means that either measurements are very sloppy, that "typical" 
means something different in those sentences, or there's 10x times as much 
mass in a galaxy as their is mass in the H atoms of the galaxy. Which isn't 
completely impossible - see "giant black holes", "dark matter", 
"relativity", etc.

> I'm fairly sure it's rest mass, yes. Basically, number of atoms times 
> mass of an atom.

Yeah. :-)

-- 
   Darren New, San Diego CA, USA (PST)
   Insanity is a small city on the western
   border of the State of Mind.


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From: Orchid XP v8
Subject: Re: Astromonical numbers
Date: 11 Jun 2009 14:13:18
Message: <4a31493e@news.povray.org>
Darren New wrote:
> Orchid XP v8 wrote:
>>>> 6.0 10^23 Number of atoms in 12 g of Carbon-12.
>>>
>>> You realize why this number is important, right? :-)
>>
>> What, Avagadro's number? (Or however the hell you spell it...)
> 
> Yes. You know why anyone cares about Avagadro's number? I.e., what the 
> basic thing it's measuring is?

Number of atoms? (Or sometimes ions, or subatomic particles of some 
kind. Make sure you specify; it kinda makes a difference.)

>> Wait - you know what a group is, right?
> 
> Vaguely. I'd have to look up the definition again to be sure I'm not 
> confusing it with a ring or field or something. My higher-level alegbra 
> is way old. :-)

There's a whole zoo of algebraic systems (I think that's the term) - 
monoids, semigroups, groupoids, groups, rings, fields, etc. They're all 
essentially the same "thing", just with differing numbers of properties 
guaranteed.

Personally, I only bother with fields and groups. A group is closed, 
associative, and possesses a unique identity element and an inverse 
element for every member. An Abelien group or commutative group is... 
self-explanatory, actually?

>>> 68-23=45 45-3=42. One power of ten missing.
>>
>> I fail.
> 
> No, it just means that either measurements are very sloppy, that 
> "typical" means something different in those sentences, or there's 10x 
> times as much mass in a galaxy as their is mass in the H atoms of the 
> galaxy. Which isn't completely impossible - see "giant black holes", 
> "dark matter", "relativity", etc.

More likely I copied the number out wrong...

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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