What is with this output: Python 3

[straight_stewie]

When I run this code:

import sys

n = 10000

print(2 ** n)
print(len(str(2 ** n)))
print(type(2 ** n))
print(sys.maxsize)
print(len(str(sys.maxsize)))
print(type(sys.maxsize))

 

I get this output:

19950631168807583848837421626835850838234968318861924548520089498529438830221946631919961684036194597899331129423209124271556491349413781117593785932096323957855730046793794526765246551266059895520550086918193311542508608460618104685509074866089624888090489894838009253941633257850621568309473902556912388065225096643874441046759871626985453222868538161694315775629640762836880760732228535091641476183956381458969463899410840960536267821064621427333394036525565649530603142680234969400335934316651459297773279665775606172582031407994198179607378245683762280037302885487251900834464581454650557929601414833921615734588139257095379769119277800826957735674444123062018757836325502728323789270710373802866393031428133241401624195671690574061419654342324638801248856147305207431992259611796250130992860241708340807605932320161268492288496255841312844061536738951487114256315111089745514203313820202931640957596464756010405845841566072044962867016515061920631004186422275908670900574606417856951911456055068251250406007519842261898059237118054444788072906395242548339221982707404473162376760846613033778706039803413197133493654622700563169937455508241780972810983291314403571877524768509857276937926433221599399876886660808368837838027643282775172273657572744784112294389733810861607423253291974813120197604178281965697475898164531258434135959862784130128185406283476649088690521047580882615823961985770122407044330583075869039319604603404973156583208672105913300903752823415539745394397715257455290510212310947321610753474825740775273986348298498340756937955646638621874569499279016572103701364433135817214311791398222983845847334440270964182851005072927748364550578634501100852987812389473928699540834346158807043959118985815145779177143619698728131459483783202081474982171858011389071228250905826817436220577475921417653715687725614904582904992461028630081535583308130101987675856234343538955409175623400844887526162643568648833519463720377293240094456246923254350400678027273837755376406726898636241037491410966718557050759098100246789880178271925953381282421954028302759408448955014676668389697996886241636313376393903373455801407636741877711055384225739499110186468219696581651485130494222369947714763069155468217682876200362777257723781365331611196811280792669481887201298643660768551639860534602297871557517947385246369446923087894265948217008051120322365496288169035739121368338393591756418733850510970271613915439590991598154654417336311656936031122249937969999226781732358023111862644575299135758175008199839236284615249881088960232244362173771618086357015468484058622329792853875623486556440536962622018963571028812361567512543338303270029097668650568557157505516727518899194129711337690149916181315171544007728650573189557450920330185304847113818315407324053319038462084036421763703911550639789000742853672196280903477974533320468368795868580237952218629120080742819551317948157624448298518461509704888027274721574688131594750409732115080498190455803416826949787141316063210686391511681774304792596709376 # This is one number
3011
<class 'int'>
9223372036854775807
19
<class 'int'>

This is using the 32 bit interpreter. What is the deal with that?
How is sys.maxint of a 32 bit interpreter the maximum 64 bit value?

[jj9987]

From what I gathered from some internet research - Python supports arbitrarily large integers naturally.

http://stackoverflow.com/questions/538551/handling-very-large-numbers-in-python

 

EDIT: Another source says "Python can handle numbers as big as your memory will allow."
http://stackoverflow.com/questions/1386604/handling-big-numbers-in-code

[straight_stewie]

11 hours ago, Erik Sieghart said:

Python's integer type automatically allocates the proper amount of memory.

11 hours ago, jj9987 said:

From what I gathered from some internet research - Python supports arbitrarily large integers naturally.

So that, and this (which I can only partially understand) answer the first question nicely. 

The second question, however, I have been unable to find an answer to: In any other language, requesting the max size of an integer when using a 32 bit compiler/interpreter would result in 2,147,483,647. In python, however, it results in the maximum 64 bit value, 9,223,372,036,854,775,807. This is highly perplexing to me. I'm going to push this onto the stack and see what happens. I will update this with any good results.

 

[Factory Factory]

Remember that Python is interpreted, built in C and designed to avoid common programming pitfalls if possible in the name of user friendliness. The data referenced by a Python int will be a C long int by default and a Python-specific bigint implementation if necessary after that, with no-interaction-necessary type conversion behind the scenes by the interpreter.