31344358797445200
31,344,358,797,445,200 is an even composite number composed of six prime numbers multiplied together.
31344358797445200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 31344358797445200:
24 × 3 × 52 × 13 × 197 × 10199257711
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 197 × 10199257711)See below for interesting mathematical facts about the number 31344358797445200 from the Numbermatics database.
Names of 31344358797445200
- Cardinal: 31344358797445200 can be written as Thirty-one quadrillion, three hundred forty-four trillion, three hundred fifty-eight billion, seven hundred ninety-seven million, four hundred forty-five thousand, two hundred.
Scientific notation
- Scientific notation: 3.13443587974452 × 1016
Factors of 31344358797445200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 10199257931
Divisors of 31344358797445200
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 197 200 208 240 260 300 312 325 390 394 400 520 591 600 624 650 780 788 975 985 1040 1182 1200 1300 1560 1576 1950 1970 2364 2561 2600 2955 3120 3152 3900 3940 4728 4925 5122 5200 5910 7683 7800 7880 9456 9850 10244 11820 12805 14775 15366 15600 15760 19700 20488 23640 25610 29550 30732 38415 39400 40976 47280 51220 59100 61464 64025 76830 78800 102440 118200 122928 128050 153660 192075 204880 236400 256100 307320 384150 512200 614640 768300 1024400 1536600 3073200 10199257711 20398515422 30597773133 40797030844 50996288555 61195546266 81594061688 101992577110 122391092532 132590350243 152988865665 163188123376 203985154220 244782185064 254981442775 265180700486 305977731330 397771050729 407970308440 489564370128 509962885550 530361400972 611955462660 662951751215 764944328325 795542101458 815940616880 1019925771100 1060722801944 1223910925320 1325903502430 1529888656650 1591084202916 1988855253645 2009253769067 2039851542200 2121445603888 2447821850640 2651807004860 3059777313300 3182168405832 3314758756075 3977710507290 4018507538134 4079703084400 5303614009720 6027761307201 6119554626600 6364336811664 6629517512150 7955421014580 8037015076268 9944276268225 10046268845335 10607228019440 12055522614402 12239109253200 13259035024300 15910842029160 16074030152536 19888552536450 20092537690670 24111045228804 26120298997871 26518070048600 30138806536005 31821684058320 32148060305072 39777105072900 40185075381340 48222090457608 50231344226675 52240597995742 53036140097200 60277613072010 78360896993613 79554210145800 80370150762680 96444180915216 100462688453350 104481195991484 120555226144020 130601494989355 150694032680025 156721793987226 159108420291600 160740301525360 200925376906700 208962391982968 241110452288040 261202989978710 301388065360050 313443587974452 391804484968065 401850753813400 417924783965936 482220904576080 522405979957420 602776130720100 626887175948904 653007474946775 783608969936130 803701507626800 1044811959914840 1205552261440200 1253774351897808 1306014949893550 1567217939872260 1959022424840325 2089623919829680 2411104522880400 2612029899787100 3134435879744520 3918044849680650 5224059799574200 6268871759489040 7836089699361300 10448119599148400 15672179398722600 31344358797445200
- Sum of all divisors σ(n): 108678884099740416
- Sum of proper divisors (its aliquot sum) s(n): 77334525302295216
- 31344358797445200 is an abundant number, because the sum of its proper divisors (77334525302295216) is greater than itself. Its abundance is 45990166504850016
Bases of 31344358797445200
- Binary: 11011110101101110000111001110111101010110001000010100002
- Hexadecimal: 0x6F5B873BD58850
- Base-36: 8KMNBN8MXQO
Squares and roots of 31344358797445200
- 31344358797445200 squared (313443587974452002) is 982468828422980304282047003040000
- 31344358797445200 cubed (313443587974452003) is 30794855465395521459894627580370677068633408000000
-
The
square root of 31344358797445200 is 177043381.1172990449 -
The
cube root of 31344358797445200 is 315296.9696172137
Scales and comparisons
How big is 31344358797445200?- 31,344,358,797,445,200 seconds is equal to 996,653,655 years, 15 weeks, 23 hours, 40 minutes.
-
To count from 1 to 31,344,358,797,445,200 would take you about two billion, nine hundred eighty-nine million, nine hundred sixty thousand, nine hundred sixty-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 31344358797445200 cubic inches would be around 26274.7 feet tall.
Recreational maths with 31344358797445200
- 31344358797445200 backwards is 00254479785344313
- The number of decimal digits it has is: 17
- The sum of 31344358797445200's digits is 69
- More coming soon!
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