Problems & Puzzles: Puzzles

Puzzle 459. Related to Puzzle 457 Nick McGrath wrote for Puzzle 457: Just for amusement I tried some other embedded names of numbers. The smallest I could come up with were: COMPOSITE 10^117 + 10^60 + 10^24 +16 = one oCtOtrigintillion one noveMdecillion one sePtilliOn SIxTEen SQUARE 6*10^15 + 11*10^6 + 750*10^3 + 889 =Six QUAdRillion Eleven million seven hundred fifty thousand eight hundred eighty nine NATURAL oNe quAdrillion Twenty foUR thousAnd eLeven. How about TRIANGLAR, FACTORIAL, FIBONACCI, EMIRP etc? Accordingly let's pose a somewhat open question based on the Nick's contribution: Q. Send the smallest numbers to fill the following table   Author English Spanish French German Swedish Composite NM   TA   TA Square NM, TA   TA TA TA Natural NM   TA TA TA Triangular     TA TA TA Factorial TA   TA TA TA Fibonacci     TA     Emirp       TA TA Other       TA TA

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Contributions came from Torbjörn Alm

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Torbjörn Alm wrote (Set 08) solutions for Swedish, French, English & German.

Swedish

Fibonacci is impossible, as the only number word in Swedish containing B is Biljon, and the C-words must appear before.


COMPOSITE

10^48 + 5*10^42 + 70000

en oCtiljOn feM sePtiljOner SjuttIoTusEn


SQUARE

6 000000 000004 026480 070656 (2449489742784^2)

Sex QUAdRiljonEr fyra biljoner tjugosextusenfyrhundraåttio miljoner sjuttiotusensexhundrafemtiosex


NATURAL

NittioåttA Tusen femhundRA toLv
98512


TRIANGULAR

1 000018 020169 863360

en TRIljon ArtoN biljoner tjuGotUsenetthundrasextionio miLjoner åttAhundRasextiotretusen trehundrasextio.

n*(n+1)/2, where n = 1414226304


FACTORIAL

60415 263063 373835 637355 132068 513997 507264 512000 000000 (43 factorial)

sextiotusenFyrAhundrafemton oCTiljOner tvåhundRasextIotretusensextiotre septiljoner trehundrAsjuttiotretusentrehundrafemtiofem sextiLjoner
sexhundratrettiosjutusentrehundrafemtiofem quintiljoner etthundratrettiotvåtusensextioåtta quadriljoner femhundratrettontusenniohundranittiosju
triljoner fenhundrasjutusentvåhundrasextiofyra biljoner femhundratolv miljoner.


EMIRP:

1594000000000000000000000000000000000000000619

Ettusen feMhundranIttiofyRa sePtiljoner sexhundranitton.

9160000000000000000000000000000000000000004951


OTHER

niOTusenfemHundratrEttiofyRa

9534
 

French

FACTORIAL (30)


265252859812191058636308480000000

deux cent soixante cinq quintillion
deux cent cinquante deux mille huit cent cinquanteneu*F* quadrillion
huit cent douze mille cent qu*A*tre-vingt onze trillion
*C*inquan*T*e huit mille six cent trente six billiOn
*T*ro*I* cent huit mille qu*A*rtre cent quartre-vingt mi*L*lion

TRIANGULAR

360025243950646

*TR*o*I* cent soix*AN*te billion
vin*G*t cinq mille de*U*x quarante troi mi*L*lion
neuf cent cinqu*A*nte mille six cent qua*R*ante six


NATURAL

54004000

ciNquAnTe qUaRtre million quartre miLle


COMPOSITE

53007360

Cinquante trOis Million sePt mille trOis cent SoIxanTE

FIBONNACCI

19134702400093278081449423917
dix-neu*F* m*I*lle cent trente quartre quadrillion
sept cent deux mille quarte cent trillion
quartre-vingt treze mille deux cent soixante dix-huit *B*illi*O*n
quartre-vingt-et-un mille quartre *C*ent quarante neuf million
quartre *C*ent v*I*ngt troi mille neuf cent dix-sept

SQUARE

64 = Soixante-QUARtrE

English

FACTORIAL

815915283247897734345611269596115894272000000000

eighthundred *F*ifteen au*A*ttuorde*C*illion
ninehundred fif*T*een tredecillion
tw*O*hund*R*ed e*I*ghtythree dudecillion
twohundrefortyseven undecillion
eighthundred ninetyseven decillion
sevenhindred thirtyfour nonillion
threehundred fortyfive octillion
sixhundredeleven septillion
twohundredsixtynine sextillion
fivehundredninetysix quintillion
inehundredfifteen qu*A*dRi*L*lion
eighthundred ninetyfour trillion
twohundredseventytwo billion

SQUARE English

6000000001175889

Six QUAdRillion onE million one hundred seventy five thousand eight hundred eightynine
 

German:

SQUARE

7 000 000 000 000 002 166 861 773 997 281
Sieben QUintillionen zwei tAusend einhundeRt sech und sEchzig billionen
achthundert ein und sechig tausend sieben hundert drei und siebzig tausend zweihundert ein und achtzig

OTHER

1000800

ein milliOn AchT HundERt

NATURAL

938011

Neun hundert Acht Und dReizig tAusend eLf


EMIRP

+100000000000000000000000000000000000000000000000000000000000000000000000/
3000000000000000000000000000000000000023347

10^114 + 3*10^42 + 23347

Ein NovEMdecIllion dRei sePtillionen drei und zwanzig tausend dreihundert sieben und viertzig



TRIANGULAR

38 020 093 805 253

achT und dReIzig billionen zwANziG taUsend drei und neuntzig miLlionen
Acht hundeRt fünf taunsend zweihundert drei und fümfzig


FACTORIAL

25 852 016 738 884 976 640 000

*F*ünf und zw*A*nzig tausend a*C*h*T* hundert zwei und fünfzig tausend sechzen billi*O*nen
acht hunde*R*t v*I*er und *A*chtzig tausend neunhundert sechs und siebzig mi*L*lionen sech hundert firzig tausend.

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