# Here's a big number for you: How many snowflakes have fallen on the earth?

**URL:** <https://boards.straightdope.com/t/heres-a-big-number-for-you-how-many-snowflakes-have-fallen-on-the-earth/427013>\
**Category:** Factual Questions\
**Created:** [November 19, 2007, 5:26am UTC](https://boards.straightdope.com/t/heres-a-big-number-for-you-how-many-snowflakes-have-fallen-on-the-earth/427013 "2007-11-19T05:26:56Z")\
**Posts on this page:** 6\
**Page:** 2

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**Author:** ![Malacandra](https://avatars.discourse-cdn.com/v4/letter/m/45deac/32.png) [@Malacandra](https://boards.straightdope.com/u/Malacandra)\
**Post date:** [November 19, 2007, 4:17pm UTC](https://boards.straightdope.com/t/heres-a-big-number-for-you-how-many-snowflakes-have-fallen-on-the-earth/427013/21 "2007-11-19T16:17:11Z")

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[QUOTE=fachverwirrt]  
Yes. Yes it is.

:smack:

(Is there a mathematical equivalent to Gaudere?)  
[/QUOTE]

Hah! 😛

All those years of spelling it flawlessly and then comes along this fucking search engine…

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**Author:** ![vetbridge](https://avatars.discourse-cdn.com/v4/letter/v/b5e925/32.png) [@vetbridge](https://boards.straightdope.com/u/vetbridge)\
**Post date:** [November 19, 2007, 5:27pm UTC](https://boards.straightdope.com/t/heres-a-big-number-for-you-how-many-snowflakes-have-fallen-on-the-earth/427013/22 "2007-11-19T17:27:59Z")

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[QUOTE=lissener]  
The fate of civilization hangs on the answer.  
[/QUOTE]

Civilization (as we know it) is fucked. ☹

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**Author:** ![Northern\_Piper](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/northern_piper/32/5304_2.png) [@Northern\_Piper](https://boards.straightdope.com/u/Northern_Piper)\
**Post date:** [November 19, 2007, 5:37pm UTC](https://boards.straightdope.com/t/heres-a-big-number-for-you-how-many-snowflakes-have-fallen-on-the-earth/427013/23 "2007-11-19T17:37:23Z")

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**Unca Cecil** touched on this issue in this column: [How can they be sure no two snowflakes are alike?](http://www.straightdope.com/classics/a3_392.html) But he got sidetracked by the googles, “swept up in a fit of literary grandiosity …”

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**Author:** ![yelimS](https://avatars.discourse-cdn.com/v4/letter/y/54ee81/32.png) [@yelimS](https://boards.straightdope.com/u/yelimS)\
**Post date:** [November 19, 2007, 5:46pm UTC](https://boards.straightdope.com/t/heres-a-big-number-for-you-how-many-snowflakes-have-fallen-on-the-earth/427013/24 "2007-11-19T17:46:43Z")

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[QUOTE=glee]  
Don’t waste your time with these tiny numbers!

Way beyond the number of atoms in the Universe (~ 10^80) comes the number of possible games of chess (~10^120), known as the [Shannon Number](http://en.wikipedia.org/wiki/Shannon_number).  
[/QUOTE]

I know your number has already been beaten, but I can’t let it pass without mentioning that chess is a game for children who haven’t learned to master [Go](http://en.wikipedia.org/wiki/Go_complexity) (at approx 10[sup]700[/sup] possible games)

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**Author:** ![Quercus](https://avatars.discourse-cdn.com/v4/letter/q/7ab992/32.png) [@Quercus](https://boards.straightdope.com/u/Quercus)\
**Post date:** [November 19, 2007, 7:30pm UTC](https://boards.straightdope.com/t/heres-a-big-number-for-you-how-many-snowflakes-have-fallen-on-the-earth/427013/25 "2007-11-19T19:30:04Z")

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Not hard to make a rough guess, using actual numbers. I’m going to use exponential notation here, so “1E6” means 1x 10^6, or one million. (I’m not too lazy to spend 10 minutes doing the math, but I am too lazy to do the coding for little exponents. So?)

Start with the figure above of 10 million snowflakes per cubic foot of snow, and use a rough average of snow being 10% as dense as water, giving 1E6 snowflakes per cubic foot of melted precipitation.

A chart (here:[http://maps.grida.no/go/graphic/world-s-surface-water-precipitation-evaporation-and-runoff](http://maps.grida.no/go/graphic/world-s-surface-water-precipitation-evaporation-and-runoff)) says current annual precipitation across the world is 116 km^3. Now rather than do more research, I’m going to guess about 1/10 of that is snowfall, taking into account how much rainier the tropics are than the poles. I suspect that’s still way high, but if anyone wants to dig it out, go for it. So 11.6 km^3 of (melted) snowfall.

At 3.5E10 ft^3 per km^3, that’s 3.6e11 cubic feet per year.

So for one year, we have 3.6e17 snowflakes.

Now, I have just about zero data on how to estimate past years compared with current ones. What with ice ages, humid polar swamps of the Jurassic, etc. I’m just going to assume they average to just like current.

Age of the earth is estimated often as 4.54 billion years. I’m going to assume it was too hot for snow for say the first billion, so we have 3.54 billion years, which is 3.54e9 years.

That give a grand total of 1.3 E 27 snowflakes. Which is, as these things go, within shouting distance of the 1 E 30 given above.

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**Author:** ![RealityChuck](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/realitychuck/32/195_2.png) [@RealityChuck](https://boards.straightdope.com/u/RealityChuck)\
**Post date:** [November 19, 2007, 8:21pm UTC](https://boards.straightdope.com/t/heres-a-big-number-for-you-how-many-snowflakes-have-fallen-on-the-earth/427013/26 "2007-11-19T20:21:24Z")

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One.

Eventually.

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