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Twitter often gets singled out for it's big dataness, though the latest numbers I've seen are only about 400 million tweets per day. Even allowing 1K/tweet this is a rather manageable 400GB uncompressed.

15 minutes of US tweets would fit on your phone :-)

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I am pretty sure a tweet is more than 1kb: the message itself is 140 characters, not 140 bytes, and you have lots of metadata around a tweet. I would expect easily one order of magnitude more / weet.

There's another important dimension: the fan-out factor when a person with many followers tweets.

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