21997820513356800
21,997,820,513,356,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 21997820513356800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 792 divisors.
21997820513356800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 21997820513356800:
210 × 3 × 52 × 7 × 23 × 421792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 23 × 42179 × 42179)See below for interesting mathematical facts about the number 21997820513356800 from the Numbermatics database.
Names of 21997820513356800
- Cardinal: 21997820513356800 can be written as Twenty-one quadrillion, nine hundred ninety-seven trillion, eight hundred twenty billion, five hundred thirteen million, three hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.19978205133568 × 1016
Factors of 21997820513356800
Divisors of 21997820513356800
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 50 56 60 64 69 70 75 80 84 92 96 100 105 112 115 120 128 138 140 150 160 161 168 175 184 192 200 210 224 230 240 256 276 280 300 320 322 336 345 350 368 384 400 420 448 460 480 483 512 525 552 560 575 600 640 644 672 690 700 736 768 800 805 840 896 920 960 966 1024 1050 1104 1120 1150 1200 1280 1288 1344 1380 1400 1472 1536 1600 1610 1680 1725 1792 1840 1920 1932 2100 2208 2240 2300 2400 2415 2560 2576 2688 2760 2800 2944 3072 3200 3220 3360 3450 3584 3680 3840 3864 4025 4200 4416 4480 4600 4800 4830 5120 5152 5376 5520 5600 5888 6400 6440 6720 6900 7168 7360 7680 7728 8050 8400 8832 8960 9200 9600 9660 10304 10752 11040 11200 11776 12075 12800 12880 13440 13800 14720 15360 15456 16100 16800 17664 17920 18400 19200 19320 20608 21504 22080 22400 23552 24150 25600 25760 26880 27600 29440 30912 32200 33600 35328 35840 36800 38400 38640 41216 42179 44160 44800 48300 51520 53760 55200 58880 61824 64400 67200 70656 73600 76800 77280 82432 84358 88320 89600 96600 103040 107520 110400 117760 123648 126537 128800 134400 147200 154560 164864 168716 176640 179200 193200 206080 210895 220800 247296 253074 257600 268800 294400 295253 309120 337432 353280 386400 412160 421790 441600 494592 506148 515200 537600 588800 590506 618240 632685 674864 772800 824320 843580 883200 885759 970117 1012296 1030400 1054475 1181012 1236480 1265370 1349728 1476265 1545600 1687160 1766400 1771518 1940234 2024592 2060800 2108950 2362024 2472960 2530740 2699456 2910351 2952530 3091200 3163425 3374320 3543036 3880468 4049184 4121600 4217900 4428795 4724048 4850585 5061480 5398912 5820702 5905060 6182400 6326850 6748640 6790819 7086072 7381325 7760936 8098368 8435800 8857590 9448096 9701170 10122960 10797824 11641404 11810120 12364800 12653700 13497280 13581638 14172144 14551755 14762650 15521872 16196736 16871600 17715180 18896192 19402340 20245920 20372457 21595648 22143975 23282808 23620240 24252925 25307400 26994560 27163276 28344288 29103510 29525300 31043744 32393472 33743200 33954095 35430360 37792384 38804680 40491840 40744914 43191296 44287950 46565616 47240480 48505850 50614800 53989120 54326552 56688576 58207020 59050600 62087488 64786944 67486400 67908190 70860720 72758775 75584768 77609360 80983680 81489828 88575900 93131232 94480960 97011700 101229600 101862285 107978240 108653104 113377152 116414040 118101200 124174976 129573888 134972800 135816380 141721440 145517550 151169536 155218720 161967360 162979656 169770475 177151800 186262464 188961920 194023400 202459200 203724570 215956480 217306208 226754304 232828080 236202400 248349952 269945600 271632760 283442880 291035100 302339072 310437440 323934720 325959312 339540950 354303600 372524928 377923840 388046800 404918400 407449140 434612416 453508608 465656160 472404800 496699904 509311425 539891200 543265520 566885760 582070200 620874880 647869440 651918624 679081900 708607200 745049856 755847680 776093600 809836800 814898280 869224832 907017216 931312320 944809600 993399808 1018622850 1079782400 1086531040 1133771520 1164140400 1241749760 1303837248 1358163800 1417214400 1490099712 1511695360 1552187200 1619673600 1629796560 1738449664 1779068041 1862624640 1889619200 2037245700 2173062080 2267543040 2328280800 2483499520 2607674496 2716327600 2834428800 2980199424 3104374400 3239347200 3259593120 3476899328 3558136082 3725249280 3779238400 4074491400 4346124160 4535086080 4656561600 4966999040 5215348992 5337204123 5432655200 5668857600 6208748800 6519186240 6953798656 7116272164 7450498560 7558476800 8148982800 8692248320 8895340205 9313123200 10430697984 10674408246 10865310400 11337715200 12417497600 12453476287 13038372480 14232544328 14900997120 16297965600 17384496640 17790680410 18626246400 20861395968 21348816492 21730620800 22675430400 24834995200 24906952574 26076744960 26686020615 28465088656 32595931200 34768993280 35581360820 37252492800 37360428861 40918564943 42697632984 43461241600 44476701025 49813905148 52153489920 53372041230 56930177312 62267381435 65191862400 71162721640 74504985600 74720857722 81837129886 85395265968 86922483200 88953402050 99627810296 104306979840 106744082460 113860354624 122755694829 124534762870 130383724800 133430103075 142325443280 149441715444 163674259772 170790531936 173844966400 177906804100 186802144305 199255620592 204592824715 213488164920 227720709248 245511389658 249069525740 260767449600 266860206150 284650886560 286429954601 298883430888 311336907175 327348519544 341581063872 355813608200 373604288610 398511241184 409185649430 426976329840 455441418496 491022779316 498139051480 521534899200 533720412300 569301773120 572859909202 597766861776 613778474145 622673814350 654697039088 683162127744 711627216400 747208577220 797022482368 818371298860 853952659680 859289863803 910882836992 934010721525 982045558632 996278102960 1022964123575 1067440824600 1138603546240 1145719818404 1195533723552 1227556948290 1245347628700 1309394078176 1366324255488 1423254432800 1432149773005 1494417154440 1594044964736 1636742597720 1707905319360 1718579727606 1821765673984 1868021443050 1964091117264 1992556205920 2045928247150 2134881649200 2277207092480 2291439636808 2391067447104 2455113896580 2490695257400 2618788156352 2732648510976 2846508865600 2864299546010 2988834308880 3068892370725 3188089929472 3273485195440 3415810638720 3437159455212 3736042886100 3928182234528 3985112411840 4091856494300 4269763298400 4296449319015 4554414184960 4582879273616 4782134894208 4910227793160 4981390514800 5237576312704 5465297021952 5693017731200 5728599092020 5977668617760 6137784741450 6376179858944 6546970390880 6831621277440 6874318910424 7160748865025 7472085772200 7856364469056 7970224823680 8183712988600 8539526596800 8592898638030 9108828369920 9165758547232 9564269788416 9820455586320 9962781029600 10475152625408 11386035462400 11457198184040 11955337235520 12275569482900 12752359717888 13093940781760 13663242554880 13748637820848 14321497730050 14944171544400 15712728938112 15940449647360 16367425977200 17079053193600 17185797276060 18331517094464 19128539576832 19640911172640 19925562059200 20950305250816 21482246595075 22772070924800 22914396368080 23910674471040 24551138965800 26187881563520 27326485109760 27497275641696 28642995460100 29888343088800 31425457876224 31880899294720 32734851954400 34158106387200 34371594552120 36663034188928 38257079153664 39281822345280 39851124118400 41900610501632 42964493190150 45544141849600 45828792736160 47821348942080 49102277931600 52375763127040 54994551283392 57285990920200 59776686177600 62850915752448 63761798589440 65469703908800 68316212774400 68743189104240 73326068377856 78563644690560 79702248236800 85928986380300 91657585472320 95642697884160 98204555863200 104751526254080 109989102566784 114571981840400 119553372355200 125701831504896 130939407817600 136632425548800 137486378208480 146652136755712 157127289381120 159404496473600 171857972760600 183315170944640 191285395768320 196409111726400 209503052508160 219978205133568 229143963680800 239106744710400 261878815635200 274972756416960 293304273511424 314254578762240 318808992947200 343715945521200 366630341889280 392818223452800 439956410267136 458287927361600 478213489420800 523757631270400 549945512833920 628509157524480 687431891042400 733260683778560 785636446905600 879912820534272 916575854723200 956426978841600 1047515262540800 1099891025667840 1374863782084800 1466521367557120 1571272893811200 1833151709446400 2199782051335680 2749727564169600 3142545787622400 3666303418892800 4399564102671360 5499455128339200 7332606837785600 10998910256678400 21997820513356800
- Sum of all divisors σ(n): 86704893921789696
- Sum of proper divisors (its aliquot sum) s(n): 64707073408432896
- 21997820513356800 is an abundant number, because the sum of its proper divisors (64707073408432896) is greater than itself. Its abundance is 42709252895076096
Bases of 21997820513356800
- Binary: 10011100010011011100110101101011000100000001100000000002
- Hexadecimal: 0x4E26E6B5880C00
- Base-36: 60LKR8ERAIO
Squares and roots of 21997820513356800
- 21997820513356800 squared (219978205133568002) is 483904107337861227887204106240000
- 21997820513356800 cubed (219978205133568003) is 10644835698894414525862655024574257726226432000000
-
The
square root of 21997820513356800 is 148316622.5119652595 -
The
cube root of 21997820513356800 is 280194.6797186073
Scales and comparisons
How big is 21997820513356800?- 21,997,820,513,356,800 seconds is equal to 699,462,648 years, 31 weeks, 18 hours, 40 minutes.
-
To count from 1 to 21,997,820,513,356,800 would take you about two billion, ninety-eight million, three hundred eighty-seven thousand, nine hundred forty-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 21997820513356800 cubic inches would be around 23349.6 feet tall.
Recreational maths with 21997820513356800
- 21997820513356800 backwards is 00865331502879912
- 21997820513356800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21997820513356800's digits is 69
- More coming soon!
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The information we have on file for 21997820513356800 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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