21680367984000
21,680,367,984,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 21680367984000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
21680367984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 21680367984000:
27 × 34 × 53 × 11 × 29 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 29 × 229 × 229)See below for interesting mathematical facts about the number 21680367984000 from the Numbermatics database.
Names of 21680367984000
- Cardinal: 21680367984000 can be written as Twenty-one trillion, six hundred eighty billion, three hundred sixty-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.1680367984 × 1013
Factors of 21680367984000
Divisors of 21680367984000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 40 44 45 48 50 54 55 58 60 64 66 72 75 80 81 87 88 90 96 99 100 108 110 116 120 125 128 132 135 144 145 150 160 162 165 174 176 180 192 198 200 216 220 225 229 232 240 250 261 264 270 275 288 290 297 300 319 320 324 330 348 352 360 375 384 396 400 405 432 435 440 450 458 464 480 495 500 522 528 540 550 576 580 594 600 638 640 648 660 675 687 696 704 720 725 750 783 792 800 810 825 864 870 880 891 900 916 928 957 960 990 1000 1044 1056 1080 1100 1125 1145 1152 1160 1188 1200 1276 1296 1305 1320 1350 1374 1375 1392 1408 1440 1450 1485 1500 1566 1584 1595 1600 1620 1650 1728 1740 1760 1782 1800 1832 1856 1914 1920 1980 2000 2025 2061 2088 2112 2160 2175 2200 2250 2290 2320 2349 2376 2400 2475 2519 2552 2592 2610 2640 2700 2748 2750 2784 2871 2880 2900 2970 3000 3132 3168 3190 3200 3240 3300 3375 3435 3456 3480 3520 3564 3600 3625 3664 3712 3828 3915 3960 4000 4050 4122 4125 4176 4224 4320 4350 4400 4455 4500 4580 4640 4698 4752 4785 4800 4950 5038 5104 5184 5220 5280 5400 5496 5500 5568 5725 5742 5760 5800 5940 6000 6183 6264 6336 6380 6480 6525 6600 6641 6750 6870 6960 7040 7128 7200 7250 7328 7425 7557 7656 7830 7920 7975 8000 8100 8244 8250 8352 8613 8640 8700 8800 8910 9000 9160 9280 9396 9504 9570 9600 9900 10076 10125 10208 10305 10368 10440 10560 10800 10875 10992 11000 11136 11450 11484 11600 11745 11880 12000 12366 12375 12528 12595 12672 12760 12960 13050 13200 13282 13500 13740 13920 14256 14355 14400 14500 14656 14850 15114 15312 15660 15840 15950 16000 16200 16488 16500 16704 17175 17226 17280 17400 17600 17820 18000 18320 18549 18560 18792 19008 19140 19575 19800 19923 20152 20250 20416 20610 20880 21120 21600 21750 21984 22000 22275 22671 22900 22968 23200 23490 23760 23925 24000 24732 24750 25056 25190 25520 25839 25920 26100 26400 26564 27000 27480 27840 28512 28625 28710 28800 29000 29312 29700 30228 30624 30915 31320 31680 31900 32400 32625 32976 33000 33205 33408 34350 34452 34800 35200 35640 36000 36640 37098 37125 37584 37785 38016 38280 39150 39600 39846 39875 40304 40500 40832 41220 41760 43065 43200 43500 43968 44000 44550 45342 45800 45936 46400 46980 47520 47850 48000 49464 49500 50112 50380 51040 51525 51678 51840 52200 52441 52800 53128 54000 54960 55680 57024 57250 57420 58000 58725 59400 59769 60456 61248 61830 62640 62975 63360 63800 64800 65250 65952 66000 66410 68013 68700 68904 69600 71280 71775 72000 73051 73280 74196 74250 75168 75570 76560 78300 79200 79692 79750 80608 81000 82440 83520 85875 86130 86400 87000 87936 88000 89100 90684 91600 91872 92745 92800 93960 95040 95700 97875 98928 99000 99615 100224 100760 102080 103050 103356 104400 104882 105600 106256 108000 109920 111375 113355 114048 114500 114840 116000 117450 118800 119538 119625 120912 122496 123660 125280 125950 127600 129195 129600 130500 131904 132000 132820 136026 137400 137808 139200 142560 143550 144000 146102 146560 148392 148500 150336 151140 153120 154575 156600 157323 158400 159384 159500 161216 162000 164880 166025 167040 171750 172260 174000 176000 178200 179307 181368 183200 183744 185490 187920 188925 190080 191400 195750 197856 198000 199230 201520 204039 204160 206100 206712 208800 209764 212512 215325 216000 219153 219840 222750 226710 229000 229680 232000 234900 237600 239076 239250 241824 247320 250560 251900 255200 257625 258390 259200 261000 262205 263808 264000 265640 272052 274800 275616 278400 285120 287100 292204 293625 296784 297000 298845 300672 302280 306240 309150 313200 314646 314875 316800 318768 319000 322432 324000 329760 332050 340065 343500 344520 348000 356400 358614 358875 362736 365255 366400 367488 370980 375840 377850 382800 391500 395712 396000 398460 403040 408078 412200 413424 417600 419528 425024 430650 432000 438306 439680 445500 453420 458000 459360 463725 464000 469800 471969 475200 478152 478500 483648 494640 498075 501120 503800 510400 515250 516780 522000 524410 528000 531280 537921 544104 549600 551232 566775 570240 574200 576851 584408 587250 593568 594000 597690 604560 612480 618300 626400 629292 629750 637536 638000 645975 648000 657459 659520 664100 680130 687000 689040 696000 712800 717228 717750 725472 730510 732800 741960 751680 755700 765600 772875 783000 786615 791424 792000 796920 806080 816156 824400 826848 830125 835200 839056 850048 861300 876612 891000 896535 906840 916000 918720 927450 939600 943938 944625 950400 956304 957000 967296 989280 996150 1007600 1020195 1020800 1030500 1033560 1044000 1048820 1062560 1075842 1076625 1088208 1095765 1099200 1102464 1133550 1148400 1153702 1168816 1174500 1187136 1188000 1195380 1209120 1236600 1252800 1258584 1259500 1275072 1276000 1291950 1296000 1311025 1314918 1319040 1328200 1360260 1374000 1378080 1392000 1415907 1425600 1434456 1435500 1450944 1461020 1483920 1494225 1503360 1511400 1520789 1531200 1545750 1566000 1573230 1584000 1593840 1612160 1632312 1648800 1653696 1660250 1678112 1700325 1722600 1730553 1753224 1782000 1793070 1813680 1826275 1832000 1837440 1854900 1879200 1887876 1889250 1912608 1914000 1972377 1978560 1992300 2015200 2040390 2061000 2067120 2088000 2097640 2125120 2151684 2153250 2176416 2191530 2198400 2267100 2296800 2307404 2318625 2337632 2349000 2359845 2374272 2376000 2390760 2418240 2473200 2490375 2505600 2517168 2519000 2550144 2552000 2583900 2622050 2629836 2656400 2689605 2720520 2748000 2756160 2831814 2833875 2851200 2868912 2871000 2884255 2901888 2922040 2967840 2988450 3022800 3041578 3062400 3091500 3132000 3146460 3187680 3229875 3264624 3287295 3297600 3307392 3320500 3356224 3400650 3445200 3461106 3506448 3564000 3586140 3627360 3652550 3664000 3709800 3758400 3775752 3778500 3825216 3828000 3933075 3944754 3957120 3984600 4030400 4080780 4122000 4134240 4176000 4195280 4247721 4250240 4303368 4306500 4352832 4383060 4482675 4534200 4562367 4593600 4614808 4637250 4675264 4698000 4719690 4752000 4781520 4836480 4946400 4980750 5034336 5038000 5100975 5104000 5167800 5191659 5244100 5259672 5312800 5379210 5441040 5478825 5496000 5512320 5663628 5667750 5737824 5742000 5768510 5844080 5917131 5935680 5976900 6045600 6083156 6183000 6264000 6292920 6375360 6459750 6529248 6555125 6574590 6595200 6641000 6712448 6801300 6890400 6922212 7012896 7079535 7128000 7172280 7254720 7305100 7419600 7471125 7516800 7551504 7557000 7603945 7650432 7656000 7866150 7889508 7969200 8060800 8161560 8244000 8268480 8390560 8495442 8501625 8606736 8613000 8652765 8705664 8766120 8965350 9068400 9124734 9131375 9187200 9229616 9274500 9350528 9396000 9439380 9563040 9861885 9892800 9961500 10068672 10076000 10201950 10335600 10383318 10488200 10519344 10625600 10758420 10882080 10957650 10992000 11327256 11335500 11475648 11484000 11537020 11688160 11799225 11834262 11871360 11953800 12091200 12166312 12366000 12528000 12585840 12750720 12919500 13058496 13110250 13149180 13282000 13448025 13602600 13687101 13780800 13844424 14025792 14159070 14256000 14344560 14421275 14509440 14610200 14839200 14942250 15103008 15114000 15207890 15312000 15574977 15732300 15779016 15938400 16323120 16436475 16488000 16536960 16728679 16781120 16990884 17003250 17213472 17226000 17305530 17532240 17930700 18136800 18249468 18262750 18459232 18549000 18792000 18878760 19126080 19665375 19723770 19785600 19923000 20137344 20152000 20403900 20671200 20766636 20976400 21038688 21238605 21251200 21516840 21764160 21915300 22413375 22654512 22671000 22811835 22951296 22968000 23074040 23376320 23598450 23668524 23907600 24182400 24332624 24732000 25171680 25504875 25839000 25958295 26116992 26220500 26298360 26564000 26896050 27205200 27374202 27394125 27561600 27688848 28051584 28318140 28689120 28842550 29220400 29585655 29678400 29884500 30206016 30228000 30415780 31149954 31464600 31558032 31876800 32646240 32872950 32976000 33457358 33562240 33981768 34006500 34426944 34452000 34611060 35064480 35397675 35861400 36273600 36498936 36525500 36918464 37098000 37584000 37757520 38019725 38252160 39330750 39447540 39846000 40304000 40807800 41061303 41342400 41533272 41952800 42077376 42477210 43033680 43263825 43528320 43830600 44826750 45309024 45342000 45623670 45936000 46148080 46724931 46752640 47196900 47337048 47815200 48665248 49309425 49464000 50186037 50343360 51009750 51678000 51916590 52441000 52596720 53128000 53792100 54410400 54748404 54788250 55377696 56636280 57378240 57685100 58440800 58996125 59171310 59356800 59769000 60412032 60456000 60831560 62299908 62929200 63116064 63753600 65292480 65745900 66914716 67240125 67963536 68013000 68435505 68853888 68904000 69222120 70128960 70795350 71722800 72106375 72547200 72997872 73051000 73836928 74196000 75515040 76039450 77874885 78661500 78895080 79692000 81615600 82122606 82182375 82684800 83066544 83643395 83905600 84154752 84954420 86067360 86527650 87661200 89653500 90618048 90684000 91247340 92296160 93449862 94393800 94674096 95630400 97330496 98618850 98928000 100372074 100686720 102019500 103356000 103833180 104882000 105193440 106193025 106256000 107584200 108820800 109496808 109576500 110755392 113272560 114059175 114756480 115370200 116881600 117992250 118342620 119538000 120912000 121663120 123183909 124599816 125858400 126232128 129791475 130584960 131491800 133829432 134480250 135927072 136026000 136871010 137808000 138444240 140257920 141590700 143445600 144212750 145995744 146102000 147928275 148392000 150558111 151030080 152078900 155749770 157323000 157790160 159384000 163231200 164245212 164364750 166133088 167286790 167811200 169908840 172134720 173055300 175322400 176988375 179307000 181236096 181368000 182494680 184592320 186899724 188787600 189348192 190098625 191260800 194660992 197237700 200744148 204039000 205306515 206712000 207666360 209764000 210386880 212386050 215168400 216319125 217641600 218993616 219153000 221510784 226545120 228118350 230740400 233624655 233763200 235984500 236685240 239076000 243326240 246367818 246547125 249199632 250930185 251716800 252464256 259582950 262983600 267658864 268960500 271854144 272052000 273742020 276888480 283181400 286891200 288425500 291991488 292204000 295856550 296784000 301116222 302060160 304157800 311499540 314646000 315580320 318768000 326462400 328490424 328729500 332266176 334573580 339817680 342177525 344269440 346110600 350644800 353976750 358614000 362736000 364989360 369184640 373799448 377575200 378696384 380197250 389374425 394475400 401488296 408078000 410613030 413424000 415332720 418216975 419528000 420773760 424772100 430336800 432638250 437987232 438306000 451674333 453090240 456236700 461480800 467249310 471969000 473370480 478152000 486652480 492735636 493094250 498399264 501860370 503433600 519165900 525967200 530965125 535317728 537921000 543708288 544104000 547484040 553776960 566362800 570295875 573782400 576851000 583982976 584408000 591713100 602232444 608315600 615919545 622999080 629292000 631160640 648957375 652924800 656980848 657459000 664532352 669147160 679635360 684355050 692221200 701289600 707953500 717228000 729978720 739641375 747598896 752790555 755150400 757392768 760394500 778748850 788950800 802976592 816156000 821226060 830665440 836433950 839056000 849544200 860673600 865276500 875974464 876612000 903348666 906180480 912473400 922961600 934498620 943938000 946740960 956304000 973304960 985471272 986188500 996798528 1003720740 1026532575 1038331800 1051934400 1061930250 1070635456 1075842000 1088208000 1094968080 1107553920 1132725600 1140591750 1153702000 1168123275 1168816000 1183426200 1204464888 1216631200 1231839090 1245998160 1254650925 1258584000 1262321280 1297914750 1313961696 1314918000 1338294320 1355022999 1359270720 1368710100 1384442400 1415907000 1434456000 1459957440 1479282750 1495197792 1505581110 1510300800 1520789000 1557497700 1577901600 1605953184 1632312000 1642452120 1661330880 1672867900 1699088400 1710887625 1721347200 1730553000 1751948928 1753224000 1806697332 1824946800 1845923200 1868997240 1887876000 1893481920 1946872125 1970942544 1972377000 1993597056 2007441480 2053065150 2076663600 2091084875 2103868800 2123860500 2141270912 2151684000 2189936160 2258371665 2265451200 2281183500 2307404000 2336246550 2366852400 2408929776 2433262400 2463678180 2491996320 2509301850 2517168000 2595829500 2627923392 2629836000 2676588640 2710045998 2718541440 2737420200 2768884800 2831814000 2868912000 2919914880 2958565500 2990395584 3011162220 3041578000 3079597725 3114995400 3155803200 3211906368 3264624000 3284904240 3322661760 3345735800 3398176800 3421775250 3461106000 3506448000 3613394664 3649893600 3737994480 3763952775 3775752000 3786963840 3893744250 3941885088 3944754000 4014882960 4106130300 4153327200 4182169750 4247721000 4303368000 4379872320 4516743330 4530902400 4562367000 4614808000 4672493100 4733704800 4817859552 4866524800 4927356360 4983992640 5018603700 5132662875 5191659000 5255846784 5259672000 5353177280 5420091996 5474840400 5537769600 5663628000 5840616375 5917131000 5980791168 6022324440 6083156000 6159195450 6229990800 6273254625 6311606400 6423812736 6569808480 6691471600 6775114995 6796353600 6843550500 6922212000 7226789328 7299787200 7475988960 7527905550 7551504000 7787488500 7883770176 7889508000 8029765920 8212260600 8306654400 8364339500 8495442000 8606736000 8759744640 9033486660 9124734000 9229616000 9344986200 9467409600 9635719104 9854712720 9967985280 10037207400 10265325750 10383318000 10519344000 10706354560 10840183992 10949680800 11291858325 11327256000 11681232750 11834262000 12044648880 12166312000 12318390900 12459981600 12546509250 13139616960 13382943200 13550229990 13592707200 13687101000 13844424000 14453578656 14599574400 14951977920 15055811100 15397988625 15574977000 15767540352 15779016000 16059531840 16424521200 16613308800 16728679000 16990884000 18066973320 18249468000 18689972400 18819763875 18934819200 19271438208 19709425440 20074414800 20530651500 20766636000 21680367984 21899361600 22583716650 22654512000 23362465500 23668524000 24089297760 24332624000 24636781800 24919963200 25093018500 26279233920 26765886400 27100459980 27374202000 27688848000 28907157312 29903955840 30111622200 30795977250 31149954000 31558032000 32119063680 32849042400 33457358000 33875574975 33981768000 36133946640 36498936000 37379944800 37639527750 39418850880 40148829600 41061303000 41533272000 43360735968 43798723200 45167433300 46724931000 47337048000 48178595520 49273563600 49839926400 50186037000 53531772800 54200919960 54748404000 56459291625 57814314624 60223244400 61591954500 62299908000 65698084800 66914716000 67751149950 67963536000 72267893280 72997872000 74759889600 75279055500 78837701760 80297659200 82122606000 83066544000 86721471936 90334866600 93449862000 94674096000 96357191040 98547127200 100372074000 108401839920 109496808000 112918583250 120446488800 123183909000 124599816000 131396169600 133829432000 135502299900 144535786560 149519779200 150558111000 160595318400 164245212000 169377874875 173442943872 180669733200 186899724000 197094254400 200744148000 216803679840 218993616000 225837166500 240892977600 246367818000 249199632000 267658864000 271004599800 289071573120 301116222000 328490424000 338755749750 361339466400 373799448000 394188508800 401488296000 433607359680 451674333000 481785955200 492735636000 542009199600 602232444000 656980848000 677511499500 722678932800 747598896000 802976592000 867214719360 903348666000 985471272000 1084018399200 1204464888000 1355022999000 1445357865600 1806697332000 1970942544000 2168036798400 2408929776000 2710045998000 3613394664000 4336073596800 5420091996000 7226789328000 10840183992000 21680367984000
- Sum of all divisors σ(n): 91269193672800
- Sum of proper divisors (its aliquot sum) s(n): 69588825688800
- 21680367984000 is an abundant number, because the sum of its proper divisors (69588825688800) is greater than itself. Its abundance is 47908457704800
Bases of 21680367984000
- Binary: 1001110110111110110101010000111011101100000002
- Hexadecimal: 0x13B7DAA1DD80
- Base-36: 7ONTNBS00
Squares and roots of 21680367984000
- 21680367984000 squared (216803679840002) is 470038355921652224256000000
- 21680367984000 cubed (216803679840003) is 10190604522975785695142170619904000000000
-
The
square root of 21680367984000 is 4656218.2062270235 -
The
cube root of 21680367984000 is 27884.0305420015
Scales and comparisons
How big is 21680367984000?- 21,680,367,984,000 seconds is equal to 689,368 years, 33 weeks, 2 days.
-
To count from 1 to 21,680,367,984,000 would take you about one million, seven hundred twenty-three thousand, four hundred twenty-one 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 21680367984000 cubic inches would be around 2323.7 feet tall.
Recreational maths with 21680367984000
- 21680367984000 backwards is 00048976308612
- 21680367984000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21680367984000's digits is 54
- More coming soon!
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"Number 21680367984000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 21680367984000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/21680367984000/
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The information we have on file for 21680367984000 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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