13842332055820800
13,842,332,055,820,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13842332055820800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
13842332055820800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13842332055820800:
29 × 33 × 52 × 7 × 672 × 11292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 67 × 67 × 1129 × 1129)See below for interesting mathematical facts about the number 13842332055820800 from the Numbermatics database.
Names of 13842332055820800
- Cardinal: 13842332055820800 can be written as Thirteen quadrillion, eight hundred forty-two trillion, three hundred thirty-two billion, fifty-five million, eight hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38423320558208 × 1016
Factors of 13842332055820800
Divisors of 13842332055820800
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 67 70 72 75 80 84 90 96 100 105 108 112 120 126 128 134 135 140 144 150 160 168 175 180 189 192 200 201 210 216 224 225 240 252 256 268 270 280 288 300 315 320 335 336 350 360 378 384 400 402 420 432 448 450 469 480 504 512 525 536 540 560 576 600 603 630 640 670 672 675 700 720 756 768 800 804 840 864 896 900 938 945 960 1005 1008 1050 1072 1080 1120 1129 1152 1200 1206 1260 1280 1340 1344 1350 1400 1407 1440 1512 1536 1575 1600 1608 1675 1680 1728 1792 1800 1809 1876 1890 1920 2010 2016 2100 2144 2160 2240 2258 2304 2345 2400 2412 2520 2560 2680 2688 2700 2800 2814 2880 3015 3024 3150 3200 3216 3350 3360 3387 3456 3584 3600 3618 3752 3780 3840 4020 4032 4200 4221 4288 4320 4480 4489 4516 4608 4690 4725 4800 4824 5025 5040 5360 5376 5400 5600 5628 5645 5760 6030 6048 6300 6400 6432 6700 6720 6774 6912 7035 7200 7236 7504 7560 7680 7903 8040 8064 8400 8442 8576 8640 8960 8978 9032 9045 9380 9450 9600 9648 10050 10080 10161 10720 10752 10800 11200 11256 11290 11520 11725 12060 12096 12600 12663 12800 12864 13400 13440 13467 13548 13824 14070 14400 14472 15008 15075 15120 15806 16080 16128 16800 16884 16935 17152 17280 17920 17956 18064 18090 18760 18900 19200 19296 20100 20160 20322 21105 21440 21600 22400 22445 22512 22580 23040 23450 23709 24120 24192 25200 25326 25728 26800 26880 26934 27096 28140 28225 28800 28944 30016 30150 30240 30483 31423 31612 32160 32256 33600 33768 33870 34304 34560 35175 35912 36128 36180 37520 37800 38400 38592 39515 40200 40320 40401 40644 42210 42880 43200 44800 44890 45024 45160 45225 46900 47418 48240 48384 50400 50652 50805 51456 53600 53760 53868 54192 56280 56450 57600 57888 60032 60300 60480 60966 62846 63224 63315 64320 67200 67335 67536 67740 69120 70350 71127 71824 72256 72360 75040 75600 75643 77184 79030 80400 80640 80802 81288 84420 84675 85760 86400 89600 89780 90048 90320 90450 93800 94269 94836 96480 96768 100800 101304 101610 102912 105525 107200 107736 108384 112225 112560 112900 115200 115776 118545 120064 120600 120960 121203 121932 125692 126448 126630 128640 134400 134670 135072 135480 140700 142254 143648 144512 144720 150080 151200 151286 152415 154368 157115 158060 160800 161280 161604 162576 168840 169350 171520 172800 179560 180096 180640 180900 187600 188538 189672 192960 197575 201600 202005 202608 203220 211050 213381 214400 215472 216768 224450 225120 225800 226929 231552 237090 240128 241200 241920 242406 243864 251384 252896 253260 254025 257280 268800 269340 270144 270960 281400 282807 284508 287296 289024 289440 300160 302400 302572 304830 308736 314230 316120 316575 321600 323208 325152 336675 337680 338700 345600 355635 359120 360192 361280 361800 375200 377076 378215 379344 385920 395150 403200 404010 405216 406440 422100 426762 428800 430944 433536 448900 450240 451600 453858 463104 471345 474180 482400 483840 484812 487728 502768 505792 506520 508050 514560 529501 538680 540288 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17216830915200 17302915069776 18023869864350 18309963036800 19225461188640 19774760079744 20507158601216 20598708416400 20660197098240 21628643837220 21971955644160 22955774553600 23070553426368 24031826485800 24718450099680 25633948251520 25825246372800 26366346772992 27035804796525 27464944555200 28838191782960 29514567283200 30760737901824 30898062624600 32042435314400 32957933466240 34433661830400 34605830139552 36047739728700 36619926073600 38450922377280 39549520159488 41197416832800 41320394196480 43257287674440 43943911288320 46141106852736 48063652971600 49436900199360 51267896503040 51650492745600 54071609593050 54929889110400 57676383565920 61521475803648 61796125249200 64084870628800 65915866932480 68867323660800 69211660279104 72095479457400 73239852147200 76901844754560 79099040318976 82394833665600 86514575348880 92282213705472 96127305943200 98873800398720 102535793006080 103300985491200 108143219186100 109859778220800 115352767131840 123592250498400 128169741257600 131831733864960 138423320558208 144190958914800 153803689509120 164789667331200 173029150697760 184564427410944 192254611886400 197747600797440 206601970982400 216286438372200 219719556441600 230705534263680 247184500996800 256339482515200 276846641116416 288381917829600 307607379018240 329579334662400 346058301395520 384509223772800 395495201594880 432572876744400 461411068527360 494369001993600 512678965030400 553693282232832 576763835659200 659158669324800 692116602791040 769018447545600 865145753488800 922822137054720 988738003987200 1153527671318400 1384233205582080 1538036895091200 1730291506977600 1977476007974400 2307055342636800 2768466411164160 3460583013955200 4614110685273600 6921166027910400 13842332055820800
- Sum of all divisors σ(n): 58998240550307520
- Sum of proper divisors (its aliquot sum) s(n): 45155908494486720
- 13842332055820800 is an abundant number, because the sum of its proper divisors (45155908494486720) is greater than itself. Its abundance is 31313576438665920
Bases of 13842332055820800
- Binary: 1100010010110110000111000101010000110011011010000000002
- Hexadecimal: 0x312D87150CDA00
- Base-36: 3SAP3K3M2O0
Squares and roots of 13842332055820800
- 13842332055820800 squared (138423320558208002) is 191610156743604095327161712640000
- 13842332055820800 cubed (138423320558208003) is 2652331414912839001631596528489905008934912000000
-
The
square root of 13842332055820800 is 117653440.4759197851 -
The
cube root of 13842332055820800 is 240106.0414258329
Scales and comparisons
How big is 13842332055820800?- 13,842,332,055,820,800 seconds is equal to 440,143,342 years, 12 weeks.
-
To count from 1 to 13,842,332,055,820,800 would take you about one billion, three hundred twenty million, four hundred thirty thousand and twenty-six 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 13842332055820800 cubic inches would be around 20008.8 feet tall.
Recreational maths with 13842332055820800
- 13842332055820800 backwards is 00802855023324831
- 13842332055820800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13842332055820800's digits is 54
- More coming soon!
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"Number 13842332055820800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 13842332055820800 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13842332055820800/
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The information we have on file for 13842332055820800 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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