Alex's Multiplication

Number Theory Level 5

Find the digit sum of 2222...22 2 2 2222...222^2 . There are 2014 2014 2s.

Notes and Assumptions:

DO NOT USE WOLFRAM ALPHA!!! OR ELSE....


The answer is 18124.

Alex Segesta by Alex Segesta , 20, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

6 solutions

Rajen Kapur
Mar 22, 2014

If you see the value as 4938271..........243950617284 if will see the 0...9 permutations inside. Total length is 4027 out of which 4010 comprise of 401 numbers of each digit. Answer is (402 x 45) + 4 + 9 + 3 + 8 + 2 + 7 + 1 = 18124

7 Helpful 0 Interesting 0 Brilliant 0 Confused
Saurabh Mallik
Mar 27, 2014

The value contains 4027 4027 digits.

Sum of digits = 18124 = 18124

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Wish I could downvote solutions

Jayakumar Krishnan - 7 years ago

how did you found the number of digits

Parth Lohomi - 6 years, 11 months ago
Bernardo Sulzbach
Jun 29, 2014

Python (1-line) 

sum([eval(c) for c in str(eval('2' * 2014) ** 2)])
1 Helpful 0 Interesting 0 Brilliant 0 Confused
Rajeh Alghamdi
Mar 4, 2014

18124

1 Helpful 0 Interesting 0 Brilliant 0 Confused

how did you get that?

Tuan Le - 7 years, 3 months ago

soon

Rajeh Alghamdi - 7 years, 3 months ago

Can somebody help me find solutions to this question?

Anagram Cracker!!

Anagrams are problems related to shuffled letters which are needed to be arranged and made into perfect meaningful sentences without repeating the letters (letters can be used only once).

Here are some anagrams which you need to crack:

1) tuteauaewribeifslh

2) geaperioitrdspawsagnhabineod

3) enaednenetorfyimrw

Remember to arrange and make a meaningful sentence (one sentence from each group of letters), not single word. If you are able to solve this anagrams please inform me the answers as well as how you found the solutions to the anagrams.

Details and assumptions:

Example:

"My name is Anil" can be written in the form of group of letters as:

meailaysmnni

Saurabh Mallik - 7 years, 2 months ago

Log in to reply

What are you trying to tell????

Anuj Shikarkhane - 6 years, 10 months ago

I coded a function multiply 2....2 * 2....2 as two big integer and get the result.

Manh Quan Nguyen - 7 years, 2 months ago
Girish Ramnani
Apr 5, 2014

in python language 

sum=0

i=str(2)*2014

 m=int(i)

 m=m**2

 m=str(m)

for j in m:

        k=int(j)

        sum+=k

print(sum)

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Bruno Oliveira
Mar 26, 2014

sum(map(int, str(int(reduce(lambda x,y: x+y, ["2" for i in range(2014)]))**2)))

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...