10828675968000
10,828,675,968,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 10828675968000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1408 divisors.
10828675968000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 10828675968000:
210 × 3 × 53 × 11 × 31 × 41 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 31 × 41 × 2017)See below for interesting mathematical facts about the number 10828675968000 from the Numbermatics database.
Names of 10828675968000
- Cardinal: 10828675968000 can be written as Ten trillion, eight hundred twenty-eight billion, six hundred seventy-five million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.0828675968 × 1013
Factors of 10828675968000
Divisors of 10828675968000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 32 33 40 41 44 48 50 55 60 62 64 66 75 80 82 88 93 96 100 110 120 123 124 125 128 132 150 155 160 164 165 176 186 192 200 205 220 240 246 248 250 256 264 275 300 310 320 328 330 341 352 372 375 384 400 410 440 451 465 480 492 496 500 512 528 550 600 615 620 640 656 660 682 704 744 750 768 775 800 820 825 880 902 930 960 984 992 1000 1023 1024 1025 1056 1100 1200 1230 1240 1271 1280 1312 1320 1353 1364 1375 1408 1488 1500 1536 1550 1600 1640 1650 1705 1760 1804 1860 1920 1968 1984 2000 2017 2046 2050 2112 2200 2255 2325 2400 2460 2480 2542 2560 2624 2640 2706 2728 2750 2816 2976 3000 3072 3075 3100 3200 3280 3300 3410 3520 3608 3720 3813 3840 3875 3936 3968 4000 4034 4092 4100 4125 4224 4400 4510 4650 4800 4920 4960 5084 5115 5120 5125 5248 5280 5412 5456 5500 5632 5952 6000 6051 6150 6200 6355 6400 6560 6600 6765 6820 7040 7216 7440 7626 7680 7750 7872 7936 8000 8068 8184 8200 8250 8448 8525 8800 9020 9300 9600 9840 9920 10085 10168 10230 10250 10496 10560 10824 10912 11000 11264 11275 11625 11904 12000 12102 12300 12400 12710 12800 13120 13200 13530 13640 13981 14080 14432 14880 15252 15360 15375 15500 15744 15872 16000 16136 16368 16400 16500 16896 17050 17600 18040 18600 19065 19200 19680 19840 20170 20336 20460 20500 20992 21120 21648 21824 22000 22187 22550 23250 23808 24000 24204 24600 24800 25420 25575 25600 26240 26400 27060 27280 27962 28160 28864 29760 30255 30504 30750 31000 31488 31744 31775 32000 32272 32736 32800 33000 33792 33825 34100 35200 36080 37200 38130 38400 39360 39680 40340 40672 40920 41000 41943 41984 42240 42625 43296 43648 44000 44374 45100 46500 47616 48000 48408 49200 49600 50425 50840 51150 52480 52800 54120 54560 55924 56320 56375 57728 59520 60510 61008 61500 62000 62527 62976 63550 64000 64544 65472 65600 66000 66561 67650 68200 69905 70400 72160 74400 76260 76800 78720 79360 80680 81344 81840 82000 82697 83886 84480 85250 86592 87296 88000 88748 90200 93000 95232 95325 96000 96816 98400 99200 100850 101680 102300 104960 105600 108240 109120 110935 111848 112750 115456 119040 121020 122016 123000 124000 125054 125952 127100 127875 128000 129088 130944 131200 132000 133122 135300 136400 139810 140800 144320 148800 151275 152520 157440 158720 158875 161360 162688 163680 164000 165394 167772 168960 169125 170500 173184 174592 176000 177496 180400 186000 187581 190650 192000 193632 196800 198400 201700 203360 204600 209715 209920 211200 216480 218240 221870 223696 225500 230912 238080 242040 244032 246000 248000 248091 250108 252125 254200 255750 258176 261888 262400 264000 266244 270600 272800 279620 281600 288640 297600 302550 305040 312635 314880 317750 322720 325376 327360 328000 330788 332805 335544 338250 341000 346368 349184 349525 352000 354992 360800 372000 375162 381300 384000 387264 393600 396800 403400 406720 409200 413485 419430 422400 432960 436480 443740 447392 451000 461824 476160 476625 484080 488064 492000 496000 496182 500216 504250 508400 511500 516352 523776 524800 528000 532488 541200 545600 554675 559240 577280 595200 605100 610080 625270 629760 635500 645440 650752 654720 656000 661576 665610 671088 676500 682000 687797 692736 699050 704000 709984 721600 744000 750324 756375 762600 774528 787200 793600 806800 813440 818400 826970 838860 844800 865920 872960 887480 894784 902000 909667 937905 953250 968160 976128 984000 992000 992364 1000432 1008500 1016800 1023000 1032704 1047552 1048575 1049600 1056000 1064976 1082400 1091200 1109350 1118480 1154560 1190400 1210200 1220160 1240455 1250540 1271000 1290880 1301504 1309440 1312000 1323152 1331220 1342176 1353000 1364000 1375594 1385472 1398100 1408000 1419968 1443200 1488000 1500648 1512750 1525200 1549056 1563175 1574400 1613600 1626880 1636800 1653940 1664025 1677720 1731840 1745920 1747625 1774960 1789568 1804000 1819334 1875810 1906500 1936320 1952256 1968000 1984000 1984728 2000864 2017000 2033600 2046000 2063391 2065408 2067425 2097150 2112000 2129952 2164800 2182400 2218700 2236960 2309120 2380800 2420400 2440320 2480910 2501080 2542000 2563607 2581760 2618880 2624000 2646304 2662440 2684352 2706000 2728000 2729001 2751188 2773375 2796200 2839936 2886400 2976000 3001296 3025500 3050400 3098112 3126350 3148800 3227200 3253760 3273600 3307880 3328050 3355440 3438985 3463680 3495250 3549920 3579136 3608000 3638668 3751620 3813000 3872640 3904512 3936000 3968000 3969456 4001728 4034000 4067200 4092000 4126782 4134850 4194300 4224000 4259904 4329600 4364800 4437400 4473920 4548335 4689525 4840800 4880640 4961820 5002160 5084000 5127214 5163520 5237760 5242875 5248000 5292608 5324880 5368704 5412000 5456000 5458002 5502376 5546750 5592400 5679872 5772800 5952000 6002592 6051000 6100800 6196224 6202275 6252700 6454400 6507520 6547200 6615760 6656100 6710880 6877970 6927360 6990500 7099840 7158272 7216000 7277336 7503240 7626000 7690821 7745280 7815875 7872000 7938912 8003456 8068000 8134400 8184000 8253564 8269700 8320125 8388600 8519808 8659200 8729600 8874800 8947840 9096670 9379050 9681600 9761280 9923640 10004320 10168000 10254428 10316955 10327040 10337125 10485750 10585216 10649760 10737408 10824000 10912000 10916004 11004752 11093500 11184800 11359744 11545600 11904000 12005184 12102000 12201600 12404550 12505400 12818035 12908800 13094400 13231520 13312200 13421760 13645005 13755940 13981000 14199680 14316544 14432000 14554672 15006480 15252000 15381642 15490560 15631750 15744000 15877824 16006912 16136000 16268800 16368000 16507128 16539400 16640250 16777200 17039616 17194925 17318400 17749600 17895680 18193340 18758100 19363200 19522560 19847280 20008640 20336000 20508856 20633910 20674250 20971500 21170432 21299520 21474816 21648000 21824000 21832008 22009504 22187000 22369600 22719488 22741675 23447625 24010368 24204000 24403200 24809100 25010800 25636070 25817600 26188800 26463040 26624400 26843520 27290010 27511880 27962000 28199677 28399360 28864000 29109344 30012960 30504000 30763284 30981120 31011375 31263500 31755648 32013824 32272000 32537600 32736000 33014256 33078800 33280500 33554400 34079232 34389850 34636800 35499200 35791360 36386680 37516200 38454105 38726400 39694560 40017280 40672000 41017712 41267820 41348500 41943000 42340864 42599040 42949632 43296000 43648000 43664016 44019008 44374000 44739200 45483350 46895250 48020736 48408000 48806400 49618200 50021600 51272140 51584775 51635200 52926080 53248800 53687040 54580020 55023760 55924000 56399354 56798720 57728000 58218688 60025920 61008000 61526568 62022750 62527000 63511296 64027648 64090175 64544000 65472000 66028512 66157600 66561000 67108800 68158464 68225025 68779700 70998400 71582720 72773360 75032400 76908210 77452800 79389120 80034560 81344000 82035424 82535640 82697000 83886000 84599031 84681728 85198080 85974625 86592000 87328032 88038016 88748000 89478400 90966700 93790500 96041472 96816000 97612800 99236400 100043200 102544280 103169550 105852160 106497600 107374080 109160040 110047520 111848000 112798708 113597440 113708375 116437376 120051840 122016000 123053136 124045500 125054000 127022592 128180350 129088000 130944000 132057024 132315200 133122000 134217600 136450050 137559400 140998385 141996800 145546720 150064800 153816420 154905600 158778240 160069120 162688000 164070848 165071280 165394000 167772000 169198062 170396160 171949250 173184000 174656064 176076032 177496000 178956800 181933400 187581000 192082944 192270525 193632000 198472800 200086400 205088560 206339100 211704320 212995200 214748160 218320080 220095040 223696000 225597416 227416750 232874752 240103680 244032000 246106272 248091000 250108000 254045184 256360700 257923875 258176000 264114048 264630400 266244000 268435200 272900100 275118800 281996770 283993600 291093440 300129600 307632840 317556480 320138240 320450875 328141696 330142560 330788000 335544000 338396124 340792320 341125125 343898500 349312128 352152064 354992000 357913600 363866800 375162000 384541050 387264000 396945600 400172800 410177120 412678200 422995155 423408640 425990400 436640160 440190080 447392000 451194832 454833500 465749504 480207360 488064000 492212544 496182000 500216000 512721400 515847750 528228096 529260800 532488000 536870400 545800200 550237600 563993540 567987200 582186880 600259200 615265680 635112960 640901750 656283392 660285120 661576000 671088000 676792248 682250250 687797000 698624256 704304128 704991925 709984000 727733600 750324000 769082100 774528000 793891200 800345600 820354240 825356400 845990310 851980800 873280320 880380160 894784000 902389664 909667000 931499008 960414720 961352625 984425088 992364000 1000432000 1025442800 1031695500 1056456192 1058521600 1064976000 1073740800 1091600400 1100475200 1127987080 1164373760 1200518400 1230531360 1270225920 1281803500 1312566784 1320570240 1323152000 1342176000 1353584496 1364500500 1375594000 1397248512 1409983850 1419968000 1455467200 1500648000 1538164200 1587782400 1600691200 1640708480 1650712800 1691980620 1703961600 1746560640 1760760320 1789568000 1804779328 1819334000 1922705250 1968850176 1984728000 2000864000 2050885600 2063391000 2112912384 2114975775 2117043200 2129952000 2183200800 2200950400 2255974160 2328747520 2401036800 2461062720 2563607000 2625133568 2641140480 2646304000 2684352000 2707168992 2729001000 2751188000 2794497024 2819967700 2839936000 2910934400 3001296000 3076328400 3175564800 3281416960 3301425600 3383961240 3493121280 3521520640 3524959625 3609558656 3638668000 3845410500 3937700352 3969456000 4001728000 4101771200 4126782000 4229951550 4259904000 4366401600 4401900800 4511948320 4657495040 4802073600 4922125440 5127214000 5282280960 5292608000 5368704000 5414337984 5458002000 5502376000 5639935400 5821868800 6002592000 6152656800 6351129600 6562833920 6602851200 6767922480 6986242560 7049919250 7219117312 7277336000 7690821000 7875400704 7938912000 8003456000 8203542400 8253564000 8459903100 8519808000 8732803200 8803801600 9023896640 9844250880 10254428000 10564561920 10574878875 10585216000 10828675968 10916004000 11004752000 11279870800 11643737600 12005184000 12305313600 13125667840 13205702400 13535844960 13972485120 14099838500 14438234624 14554672000 15381642000 15877824000 16407084800 16507128000 16919806200 17465606400 17607603200 18047793280 19688501760 20508856000 21149757750 21657351936 21832008000 22009504000 22559741600 23287475200 24010368000 24610627200 26411404800 27071689920 28199677000 28876469248 29109344000 30763284000 31755648000 32814169600 33014256000 33839612400 34931212800 36095586560 39377003520 41017712000 42299515500 43314703872 43664016000 44019008000 45119483200 49221254400 52822809600 54143379840 56399354000 58218688000 61526568000 65628339200 66028512000 67679224800 69862425600 72191173120 82035424000 84599031000 86629407744 87328032000 88038016000 90238966400 98442508800 108286759680 112798708000 116437376000 123053136000 132057024000 135358449600 144382346240 164070848000 169198062000 174656064000 180477932800 196885017600 216573519360 225597416000 246106272000 264114048000 270716899200 328141696000 338396124000 349312128000 360955865600 433147038720 451194832000 492212544000 541433798400 676792248000 721911731200 902389664000 984425088000 1082867596800 1353584496000 1804779328000 2165735193600 2707168992000 3609558656000 5414337984000 10828675968000
- Sum of all divisors σ(n): 41572305395712
- Sum of proper divisors (its aliquot sum) s(n): 30743629427712
- 10828675968000 is an abundant number, because the sum of its proper divisors (30743629427712) is greater than itself. Its abundance is 19914953459712
Bases of 10828675968000
- Binary: 100111011001001111110110001001101100000000002
- Hexadecimal: 0x9D93F626C00
- Base-36: 3U6MI2ZUO
Squares and roots of 10828675968000
- 10828675968000 squared (108286759680002) is 117260223219940737024000000
- 10828675968000 cubed (108286759680003) is 1269772961184087837395996639232000000000
-
The
square root of 10828675968000 is 3290695.3623816349 -
The
cube root of 10828675968000 is 22123.7352522913
Scales and comparisons
How big is 10828675968000?- 10,828,675,968,000 seconds is equal to 344,318 years, 20 weeks, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 10,828,675,968,000 would take you about eight hundred sixty thousand, seven hundred ninety-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 10828675968000 cubic inches would be around 1843.6 feet tall.
Recreational maths with 10828675968000
- 10828675968000 backwards is 00086957682801
- 10828675968000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10828675968000's digits is 60
- More coming soon!
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The information we have on file for 10828675968000 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!
Keywords: Divisors of 10828675968000, math, Factors of 10828675968000, curriculum, school, college, exams, university, Prime factorization of 10828675968000, STEM, science, technology, engineering, physics, economics, calculator, ten trillion, eight hundred twenty-eight billion, six hundred seventy-five million, nine hundred sixty-eight thousand.