Far back in 2016 I bought some coins in one of the most popular exchange then and forgets the coins, then after the bullish in 2017, I then remember that I had some coins left in the exchange, getting to the exchange I find thhatbi had some good money and then withdraw my coins with almost x1000 increased. The tiny pieces you see today are the oceans of your profit tomorrow. That experience thought me.many things and I love having pieces in exchanges this days against the future.
You got lucky for scoring x1000 increase and that exchange not closing or hacked. If I can remember right, there are a number of exchanges hacked in 2016.
Bits of bitcoins can only be worth it if it is stored securely on your own wallet and not in an Exchange wallet. There is too much risk storing bitcoin on an exchange. Then if you decide to withdraw it, exchanges will deduct withdrawal fees.
Not every tiny bit of bitcoin is really worth something. are you trying to say that if you have 0.0000000234 BTC in your wallet, it is worth something ? And moreover, it is impossible to send such small amount from an exchange platform to your wallet. you might just be wasting your time in doing this.
You never really know. There was a time that people just throw away thousands of bitcoins for pizza. That 0.0000000234 BTC can be worthless right now, but it can worth something 5 or 10 years from now.