213731336193001200
213,731,336,193,001,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 213731336193001200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
213731336193001200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 213731336193001200:
24 × 33 × 52 × 72 × 251 × 1609068911
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 251 × 1609068911)See below for interesting mathematical facts about the number 213731336193001200 from the Numbermatics database.
Names of 213731336193001200
- Cardinal: 213731336193001200 can be written as Two hundred thirteen quadrillion, seven hundred thirty-one trillion, three hundred thirty-six billion, one hundred ninety-three million, one thousand, two hundred.
Scientific notation
- Scientific notation: 2.137313361930012 × 1017
Factors of 213731336193001200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1609069179
Divisors of 213731336193001200
- Number of divisors d(n): 720
-
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 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 84 90 98 100 105 108 112 120 126 135 140 144 147 150 168 175 180 189 196 200 210 216 225 240 245 251 252 270 280 294 300 315 336 350 360 378 392 400 420 432 441 450 490 502 504 525 540 560 588 600 630 675 700 720 735 753 756 784 840 882 900 945 980 1004 1008 1050 1080 1176 1200 1225 1255 1260 1323 1350 1400 1470 1506 1512 1575 1680 1757 1764 1800 1890 1960 2008 2100 2160 2205 2259 2352 2450 2510 2520 2646 2700 2800 2940 3012 3024 3150 3514 3528 3600 3675 3765 3780 3920 4016 4200 4410 4518 4725 4900 5020 5040 5271 5292 5400 5880 6024 6275 6300 6615 6777 7028 7056 7350 7530 7560 8400 8785 8820 9036 9450 9800 10040 10542 10584 10800 11025 11295 11760 12048 12299 12550 12600 13230 13554 14056 14700 15060 15120 15813 17570 17640 18072 18825 18900 19600 20080 21084 21168 22050 22590 24598 25100 25200 26355 26460 27108 28112 29400 30120 31626 33075 33885 35140 35280 36144 36897 37650 37800 42168 43925 44100 45180 47439 49196 50200 52710 52920 54216 56475 58800 60240 61495 63252 66150 67770 70280 73794 75300 75600 79065 84336 87850 88200 90360 94878 98392 100400 105420 105840 108432 110691 112950 122990 126504 131775 132300 135540 140560 147588 150600 158130 169425 175700 176400 180720 184485 189756 196784 210840 221382 225900 237195 245980 253008 263550 264600 271080 295176 301200 307475 316260 332073 338850 351400 368970 379512 395325 421680 442764 451800 474390 491960 527100 529200 542160 553455 590352 614950 632520 664146 677700 702800 737940 759024 790650 885528 903600 922425 948780 983920 1054200 1106910 1185975 1229900 1265040 1328292 1355400 1475880 1581300 1660365 1771056 1844850 1897560 2108400 2213820 2371950 2459800 2656584 2710800 2767275 2951760 3162600 3320730 3689700 3795120 4427640 4743900 4919600 5313168 5534550 6325200 6641460 7379400 8301825 8855280 9487800 11069100 13282920 14758800 16603650 18975600 22138200 26565840 33207300 44276400 66414600 132829200 1609068911 3218137822 4827206733 6436275644 8045344555 9654413466 11263482377 12872551288 14481620199 16090689110 19308826932 22526964754 24136033665 25745102576 28963240398 32181378220 33790447131 38617653864 40226722775 43444860597 45053929508 48272067330 56317411885 57926480796 64362756440 67580894262 72408100995 77235307728 78844376639 80453445550 86889721194 90107859016 96544134660 101371341393 112634823770 115852961592 120680168325 128725512880 135161788524 144816201990 157688753278 160906891100 168952235655 173779442388 180215718032 193088269320 202742682786 217224302985 225269647540 231705923184 236533129917 241360336650 270323577048 281587059425 289632403980 304114024179 315377506556 321813782200 337904471310 347558884776 362040504975 386176538640 394221883195 403876296661 405485365572 434448605970 450539295080 473066259834 482720673300 506856706965 540647154096 563174118850 579264807960 608228048358 630755013112 643627564400 675808942620 695117769552 709599389751 724081009950 788443766390 807752593322 810970731144 844761178275 868897211940 901078590160 946132519668 965441346600 1013713413930 1086121514925 1126348237700 1158529615920 1182665649585 1211628889983 1216456096716 1261510026224 1351617885240 1419198779502 1448162019900 1520570120895 1576887532780 1615505186644 1621941462288 1689522356550 1737794423880 1892265039336 1930882693200 1971109415975 2019381483305 2027426827860 2128798169253 2172243029850 2252696475400 2365331299170 2423257779966 2432912193432 2534283534825 2703235770480 2827134076627 2838397559004 2896324039800 3041140241790 3153775065560 3231010373288 3379044713100 3475588847760 3547996948755 3634886669949 3784530078672 3942218831950 4038762966610 4054853655720 4257596338506 4344486059700 4505392950800 4730662598340 4846515559932 4865824386864 5068567069650 5654268153254 5676795118008 5792648079600 5913328247925 6058144449915 6082280483580 6307550131120 6462020746576 6758089426200 7095993897510 7269773339898 7602850604475 7884437663900 8077525933220 8109707311440 8481402229881 8515192677012 8688972119400 9461325196680 9693031119864 10096907416525 10137134139300 10643990846265 10904660009847 11308536306508 11353590236016 11826656495850 12116288899830 12164560967160 13516178852400 14135670383135 14191987795020 14539546679796 15205701208950 15768875327800 16155051866440 16962804459762 17030385354024 17377944238800 17739984743775 18174433349745 18922650393360 19386062239728 19789938536389 20193814833050 20274268278600 21287981692530 21809320019694 22617072613016 23653312991700 24232577799660 24329121934320 25444206689643 28271340766270 28383975590040 29079093359592 30290722249575 30411402417900 31537750655600 32310103732880 33925608919524 34060770708048 35479969487550 36348866699490 39579877072778 40387629666100 40548536557200 42407011149405 42575963385060 43618640039388 45234145226032 47306625983400 48465155599320 50888413379286 53219954231325 54523300049235 56542681532540 56767951180080 58158186719184 59369815609167 60581444499150 60822804835800 67851217839048 70678351915675 70959938975100 72697733398980 76332620068929 79159754145556 80775259332200 84814022298810 85151926770120 87237280078776 90872166748725 94613251966800 96930311198640 98949692681945 101776826758572 106439908462650 109046600098470 113085363065080 118739631218334 121162888998300 121645609671600 127221033448215 135702435678096 141356703831350 141919877950200 145395466797960 152665240137858 158319508291112 161550518664400 169628044597620 170303853540240 174474560157552 178109446827501 181744333497450 197899385363890 203553653517144 212035055747025 212879816925300 218093200196940 226170726130160 237479262436668 242325777996600 254442066896430 272616500246175 282713407662700 283839755900400 290790933595920 296849078045835 305330480275716 316639016582224 339256089195240 356218893655002 363488666994900 381663100344645 395798770727780 407107307034288 424070111494050 425759633850600 436186400393880 474958524873336 484651555993200 494748463409725 508884133792860 534328340482503 545233000492350 565426815325400 593698156091670 610660960551432 636105167241075 678512178390480 712437787310004 726977333989800 763326200689290 791597541455560 848140222988100 851519267701200 872372800787760 890547234137505 949917049746672 989496926819450 1017768267585720 1068656680965006 1090466000984700 1130853630650800 1187396312183340 1221321921102864 1272210334482150 1424875574620008 1453954667979600 1484245390229175 1526652401378580 1583195082911120 1696280445976200 1781094468275010 1908315501723225 1978993853638900 2035536535171440 2137313361930012 2180932001969400 2374792624366680 2544420668964300 2671641702412515 2849751149240016 2968490780458350 3053304802757160 3392560891952400 3562188936550020 3816631003446450 3957987707277800 4274626723860024 4361864003938800 4452736170687525 4749585248733360 5088841337928600 5343283404825030 5936981560916700 6106609605514320 7124377873100040 7633262006892900 7915975414555600 8549253447720048 8905472341375050 10177682675857200 10686566809650060 11873963121833400 13358208512062575 14248755746200080 15266524013785800 17810944682750100 21373133619300120 23747926243666800 26716417024125150 30533048027571600 35621889365500200 42746267238600240 53432834048250300 71243778731000400 106865668096500600 213731336193001200
- Sum of all divisors σ(n): 888450875349649920
- Sum of proper divisors (its aliquot sum) s(n): 674719539156648720
- 213731336193001200 is an abundant number, because the sum of its proper divisors (674719539156648720) is greater than itself. Its abundance is 460988202963647520
Bases of 213731336193001200
- Binary: 10111101110101001110000100100100110010011101000110111100002
- Hexadecimal: 0x2F75384932746F0
- Base-36: 1MGHFOD1QSC0
Squares and roots of 213731336193001200
- 213731336193001200 squared (2137313361930012002) is 45681084070845704688455863201440000
- 213731336193001200 cubed (2137313361930012003) is 9763479137206675155899241438794616068753761728000000
-
The
square root of 213731336193001200 is 462310865.3200800557 -
The
cube root of 213731336193001200 is 597891.9878453401
Scales and comparisons
How big is 213731336193001200?- 213,731,336,193,001,200 seconds is equal to 6,795,995,376 years, 26 weeks, 2 days, 15 hours.
-
To count from 1 to 213,731,336,193,001,200 would take you about twenty billion, three hundred eighty-seven million, nine hundred eighty-six thousand, one hundred twenty-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 213731336193001200 cubic inches would be around 49824.3 feet tall.
Recreational maths with 213731336193001200
- 213731336193001200 backwards is 002100391633137312
- 213731336193001200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 213731336193001200's digits is 45
- More coming soon!
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The information we have on file for 213731336193001200 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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