This is True indeed. We have words for numbers: couple, several, dozen. Here is one you might not remember from high school: mole. How much is a mole?
6.02*1023
Now a billion is a big number but this one is huge. But what is that number for? This number, also known as Avagadro's number, is the ratio of an atomic mass to a gram of weight. If I have a single gram of elemental Hydrogen (the lightest of all materials) it contains a mole of Hydrogen atoms. Differing materials are made differently. Elemental Hydrogen is not the same as Hydrogen. Hydrogen is a gas which is composed of two Hydrogen atoms in one molecule has an molecular mass of two. So a mole of hydrogen gas has a weight of two grams. And half a mole of hydrogen gas is the same weight as a full mole of elemental hydrogen.
Hydrogen is just the lightest example. Take one of the heaviest elements: Uranium 238, which has an atomic weight of 238. There are 2.53*1021 Uranium atoms in a gram of pure Uranium (before it explodes). So anything in the range between 2.5*1021 to 6.02*1023 is like an atom compared to a gram. Now remember that 2.5*1023 is ten times bigger than 2.5*1022, which is ten times bigger than 2.5*10^21. Molecules can be significantly heavier than that of course. Take vitamin C or a DNA molecule.
Now contemplate how big the Earth is.
5*1024 kg
Now the divide that by a mole. Or take the mass of the Earth divided by the mass of a typical man: It is 6.25*1022. Certainly of the range of the number of atoms in a gram.
Ten Billion Atoms Is Like Nothing
Suppose we take ten billion atoms of Uranium 238. That is 1 g/(2.53 * 1021) * 1010 = 3.95*10-13 g=395 fg (femograms). In a gram, that's not even one in a trillion by weight. Humanity is not even one in a trillion by weight of the Earth.
⚛️It seems cosmic to me that the proportions of a molecule to a gram is similar or exactly equal to a person and the planet Earth (depending on the molecule and person). ⚛️
If you were to try to guess a 166 bit key, it would be like picking the same atom out of the Earth from the depths of its core to the edges of the atmosphere that I choose at random. Don't try to brute force 256-bit private key.
🌍🌎🌏☘️☘️🍀🍀☘️☘️ leprechaun: Stay Free