The Largest Defined Number. Currently in progress.
Installment #1. Go to next. (no next yet)
First:
We will start with 100. Why? Because.
100
We will now hyperstretch (whenever something is italicized I invented it) it. Please wait as I figure out what the heck that even does.
Hyperstretching is where the number is squared, then cubed, then “4ed”, “5ed”, and so on, until we reach 100ed. 87ed for the number 87.
2: 100
3: 10000
4: 1000000000000
5: 1000000000000000000000000000000000000000000000000000000000000
6: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
7: 1(2520 zeros behind that)
8: 1(20160 zeros after that 1)
9: 1(181440 zeros)
10: 1(1814400 zeros)
11: 1(19958400 zeros)
12: 1(239500800 zeros)
13: 1(3113510400 zeros)
14: 1(43589145600 zeros)
15: 1(653837184000 zeros)
16: 1(10461394944000 zeros)
17: 1(177843714048000 zeros)
18: 1(3201186852864000 zeros)
19: 1(60822550204416000 zeros)
20: 1(1216451004088320000 zeros)
21: 1(25545471085854720000 zeros)
22: 1(562000363888803840000 zeros)
23: 1(12926008369442488320000 zeros)
24: 1(310224200866619719680000 zeros)
25: 1(7755605021665492992000000 zeros)
Seeing as you’re still reading this, at 25, here’s where you can go to do all these mega-digit calculations that even those 20 digit calculators won’t handle.
Lovely lil applet.
Also, note how most people would’ve started doing things like 2.34857538 to the power of 3.24983 by now?
For all you don’t have the time people, thick-skulls, and lazy people, Tronlet is going to continue sticking with good old fashioned numbers. Yay!
When there is a need for a=b times c, it’ll all be explained very properly-ish.
Back to numbers!
26: 1(201645730563302817792000000 zeros)
27: 1(5444434725209176080384000000 zeros)
28: 1(152444172305856930250752000000 zeros)
30 digits. Nice! And remember that that’s just the number of zeros there are at the end of a 1. Oooooooh...
29: 1(4420880996869850977271808000000 zeros)
30: 1(132626429906095529318154240000000 zeros)
31: 1(4111419327088961408862781440000000 zeros)
32: 1(131565418466846765083609006080000000 zeros)
33: 1(4341658809405943247759097200640000000 zeros)
Maybe you’ll just think I’ve been spending too long on this, but anyone else notice how from 28 on, the first digit is has been 1, then 4, then 1, then 4...
34: 1(147616399519802070423809304821760000000 zeros)
35: 1(5166573983193072464833325668761600000000 zeros)
Aww, it stopped.
36: 1(185996663394950608733999724075417600000000 zeros)
Five, then one? Hmm... :)
37: 1(6881876545613172523157989790790451200000000 zeros)
Dang, never mind. But, but 5, 1, 6? 5 comes just before 6? 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 1, 1, 2? We shall see...
38: 1(261511308733300555880003612050037145600000000 zeros)
Aha! 1, 2, and 5, 6, interlocking! So it should begin with a seven now...
39: 1(10198941040598721679320140869951448678400000000 zeros)
Dang. Just a coincidence. Or maybe there’s some pattern unseen...
40: 1(407957641623948867172805634798057947136000000000 zeros)
41: 1(16726263306581903554085031026720375832576000000000 zeros)
42: 1(702503058876439949271571303122255784968192000000000 zeros)
Ooh! Forty-two!
43: 1(30207631531686917818677566034256998753632256000000000 zeros)
44: 1(1329135787394224384021812905507307945159819264000000000 zeros)
45: 1(59811110432740097280981580747828857532191866880000000000 zeros)
46: 1(2751311079906044474925152714400127446480825876480000000000 zeros)
2.75 octdecillion zeros behind it. *gasp* For those of you left behind...
One. Ten. Hundred. Thousand. Million. Billion. Trillion. Quadrillion. Quintillion. Sextillion. Septillion. Octillion. Nonillion. Decillion. Unidecillion. Bidecillion. Tridecillion. Quadecillion. Quintdecillion. Sexdecillion. Septdecillion. Octdecillion.
That’s how far up Octdecillion is. 2.75 octdecillion , I said.
If you’re curious, it continues with Nondecillion. Decdecillion. Unidecdecillion. Bidecdecillion. Tridecdecillion. And so on. Every time it grows by 3 digits, it’s moved on to the next one.
47: 1(129311620755584090321482177576805989984598816194560000000000 zeros)
48: 1(6206957796268036335431144523686687519260743177338880000000000 zeros)
49: 1(304140932017133780436126081660647688443776415689605120000000000 zeros)
50: 1(15207046600856689021806304083032384422188820784480256000000000000 zeros)
We have reached 50 calculations, and we’re 50% of the way to hyperstretching the whole number.
We have reached 15.2 decdecillion zeros behind the 1.
The number reached Googel, an extremely vast number, that the search engine is named after, back in the first few steps, in between 5 and 6.
Googelplex is a 1 with a Googel 0s after it.
Yes, we are going to most likely reach Googelplex by the time we finish the hyperstretching.
To get your brain around Googelplex, fuddle around with this. Scientists think that if the number of atoms in the entire universe equals AU, then:
AU < Googelplex
A short way to display Googelplex in numbers: 10^10^100.
The sheer enormity of my technique hyperstretching is displayed by the fact that we started with 100.
Time for a break, I think. See you in the next installment, coming soon!
Next time: We finish hyperstretching the number 100, discuss what the final number might look like, and whirl (a technique to be taught next time) the number.
Now I shall attempt to make the worlds largest defined number. I will be using some made-up techniques, due to the fact that I do not know of names for some things I’ll need to use. If there are such techniques, then bow down to me for technically being as smart as the genius who first thought it up.
