820993709399703382000
820,993,709,399,703,382,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 820993709399703382000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
820993709399703382000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 820993709399703382000:
24 × 53 × 31 × 193 × 21937 × 3127617221
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 31 × 193 × 21937 × 3127617221)See below for interesting mathematical facts about the number 820993709399703382000 from the Numbermatics database.
Names of 820993709399703382000
- Cardinal: 820993709399703382000 can be written as Eight hundred twenty quintillion, nine hundred ninety-three quadrillion, seven hundred nine trillion, three hundred ninety-nine billion, seven hundred three million, three hundred eighty-two thousand.
Scientific notation
- Scientific notation: 8.20993709399703382 × 1020
Factors of 820993709399703382000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 3127639389
Divisors of 820993709399703382000
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 193 200 248 250 310 386 400 496 500 620 772 775 965 1000 1240 1544 1550 1930 2000 2480 3088 3100 3860 3875 4825 5983 6200 7720 7750 9650 11966 12400 15440 15500 19300 21937 23932 24125 29915 31000 38600 43874 47864 48250 59830 62000 77200 87748 95728 96500 109685 119660 149575 175496 193000 219370 239320 299150 350992 386000 438740 478640 548425 598300 680047 747875 877480 1096850 1196600 1360094 1495750 1754960 2193700 2393200 2720188 2742125 2991500 3400235 4233841 4387400 5440376 5484250 5983000 6800470 8467682 8774800 10880752 10968500 11966000 13600940 16935364 17001175 21169205 21937000 27201880 33870728 34002350 42338410 43874000 54403760 67741456 68004700 84676820 85005875 105846025 131249071 136009400 169353640 170011750 211692050 262498142 272018800 338707280 340023500 423384100 524996284 529230125 656245355 680047000 846768200 1049992568 1058460250 1312490710 1360094000 1693536400 2099985136 2116920500 2624981420 3127617221 3281226775 4233841000 5249962840 6255234442 6562453550 8467682000 10499925680 12510468884 13124907100 15638086105 16406133875 25020937768 26249814200 31276172210 32812267750 50041875536 52499628400 62552344420 65624535500 78190430525 96956133851 125104688840 131249071000 156380861050 193912267702 250209377680 262498142000 312761722100 387824535404 390952152625 484780669255 603630123653 625523444200 775649070808 781904305250 969561338510 1207260247306 1251046888400 1551298141616 1563808610500 1939122677020 2414520494612 2423903346275 3018150618265 3127617221000 3878245354040 4829040989224 4847806692550 6036301236530 6255234442000 7756490708080 9658081978448 9695613385100 12072602473060 12119516731375 15090753091325 18712533833243 19391226770200 24145204946120 24239033462750 30181506182650 37425067666486 38782453540400 48290409892240 48478066925500 60363012365300 68610538977077 74850135332972 75453765456625 93562669166215 96956133851000 120726024730600 137221077954154 149700270665944 150907530913250 187125338332430 193912267702000 241452049461200 274442155908308 299400541331888 301815061826500 343052694885385 374250676664860 467813345831075 548884311816616 603630123653000 686105389770770 748501353329720 935626691662150 1097768623633232 1207260247306000 1372210779541540 1497002706659440 1715263474426925 1871253383324300 2126926708289387 2339066729155375 2744421559083080 3430526948853850 3742506766648600 4253853416578774 4678133458310750 5488843118166160 6861053897707700 7485013533297200 8507706833157548 8576317372134625 9356266916621500 10634633541446935 13241834022575861 13722107795415400 17015413666315096 17152634744269250 18712533833243000 21269267082893870 26483668045151722 27444215590830800 34030827332630192 34305269488538500 37425067666486000 42538534165787740 52967336090303444 53173167707234675 66209170112879305 68610538977077000 85077068331575480 105934672180606888 106346335414469350 132418340225758610 137221077954154000 170154136663150960 211869344361213776 212692670828938700 264836680451517220 265865838536173375 331045850564396525 410496854699851691 425385341657877400 529673360903034440 531731677072346750 662091701128793050 820993709399703382 850770683315754800 1059346721806068880 1063463354144693500 1324183402257586100 1641987418799406764 1655229252821982625 2052484273499258455 2126926708289387000 2648366804515172200 3283974837598813528 3310458505643965250 4104968546998516910 4253853416578774000 5296733609030344400 6567949675197627056 6620917011287930500 8209937093997033820 10262421367496292275 13241834022575861000 16419874187994067640 20524842734992584550 26483668045151722000 32839748375988135280 41049685469985169100 51312106837481461375 82099370939970338200 102624213674962922750 164198741879940676400 205248427349925845500 410496854699851691000 820993709399703382000
- Sum of all divisors σ(n): 2059911814421976173568
- Sum of proper divisors (its aliquot sum) s(n): 1238918105022272791568
- 820993709399703382000 is an abundant number, because the sum of its proper divisors (1238918105022272791568) is greater than itself. Its abundance is 417924395622569409568
Bases of 820993709399703382000
- Binary: 10110010000001100100111001010011100011010011111001100101100111111100002
- Hexadecimal: 0x2C819394E34F9967F0
- Base-36: 4T9IWSZEARD71S
Squares and roots of 820993709399703382000
- 820993709399703382000 squared (8209937093997033820002) is 674030670873884605335810469582237924000000
- 820993709399703382000 cubed (8209937093997033820003) is 553374940729921132092668800173811884148248741351458968000000000
-
The
square root of 820993709399703382000 is 28652987791.8464793039 -
The
cube root of 820993709399703382000 is 9363681.0002271093
Scales and comparisons
How big is 820993709399703382000?- 820,993,709,399,703,382,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 820,993,709,399,703,382,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 820993709399703382000 cubic inches would be around 780306.8 feet tall.
Recreational maths with 820993709399703382000
- 820993709399703382000 backwards is 000283307993907399028
- The number of decimal digits it has is: 21
- The sum of 820993709399703382000's digits is 91
- More coming soon!
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The information we have on file for 820993709399703382000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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