Even "1" can troll you!

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Which is the largest number that you can generate using four '1's? That is you have to create the largest number using 1,1,1,1 (four 1's) only and nothing else.Input the value of that number.

You can use calculator if you want to.


The answer is 285311670611.

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3 solutions

Nihar Mahajan
May 19, 2015

The largest number is 1 1 11 = 285311670611 11^{11} =285311670611

Upvote if you liked this.

Fun Fact : 285311670611 285311670611 also contains four 1's :P :D

Nihar Mahajan - 6 years ago

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That IS fun. :)

Brock Brown - 6 years ago

Haha LOL.:D :D :D

Noel Lo - 6 years ago

I did it the same way. ¨ \ddot \smile

Additional Question : The similar largest number that can be formed using five 1's ?

Sandeep Bhardwaj - 6 years ago

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I also knew that you would be able to solve this because you trolled many people by your problems of exponents like (the one of 6561).Congrats!

Answer to additional question: 1 1 111 11^{111} ? Also you must be the ChalleNge master 2 :P

Nihar Mahajan - 6 years ago

Great! I'd never imagined of using powers. . .

Sravanth C. - 6 years ago

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Hehe... i knew it :P . Lets see who can get this question... :P

Nihar Mahajan - 6 years ago

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I'd wish to see such genius! He he . . .

Sravanth C. - 6 years ago

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@Sravanth C. I am quite sure that @Pi Han Goh can get this :P

Nihar Mahajan - 6 years ago

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@Nihar Mahajan Perhaps true, maybe even Calvin sir.

Sravanth C. - 6 years ago

At first I wanted to input it as 1111 ! 1111! , cause the question did not say symbols were not allowed.

Julian Poon - 6 years ago

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But i mentioned in bold the word "only".

Nihar Mahajan - 6 years ago

What about tetration? 11 11 ^{11} 11 .

Jake Lai - 6 years ago

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Yikes! Get that thing away from me. Python can't even handle 1 1 1 1 11 11^{11^{11}} .

Brock Brown - 6 years ago

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winks furiously

Jake Lai - 6 years ago

Nice one Nihar! Too bad someone asked me this earlier today ... XD

Arian Tashakkor - 6 years ago

Can I suggest a change? It's very confusing when you say only 4 ones because the largest and only value would be 1111. Maybe you could give a list of the allowed operators as well to make it explicit? (I.e.: +, -, ÷, × \times , ^)

EDIT: Never mind, I am a big dumb idiot and I did not realize that because symbols were not allowed superscripts and subscripts become the only ways to make it different from 1111. (And subscripts don't really mean anything in this case, leaving superscripts.)

Brock Brown - 6 years ago

Nice one:-)

Harshit Singhania - 6 years ago
Noel Lo
Jun 4, 2015

Powers are the secret to getting as large numbers as possible. We have 3 possibilities - 1 111 , 1 1 11 , 11 1 1 1^{111} , 11^{11} , 111^1 . If the base is 1, the value will be 1 no matter how large the power is and if the power is 1, the value will be just the base. So we take 1 1 11 11^{11} .

1 1 11 = 285311670611 : ) 11^{11} = 285311670611 :)

I also tried 1111! Which was insanely large :p

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