20138961024000
20,138,961,024,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 20138961024000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
20138961024000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 20138961024000:
210 × 32 × 53 × 7 × 13 × 31 × 6197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 31 × 6197)See below for interesting mathematical facts about the number 20138961024000 from the Numbermatics database.
Names of 20138961024000
- Cardinal: 20138961024000 can be written as Twenty trillion, one hundred thirty-eight billion, nine hundred sixty-one million, twenty-four thousand.
Scientific notation
- Scientific notation: 2.0138961024 × 1013
Factors of 20138961024000
Divisors of 20138961024000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 31 32 35 36 39 40 42 45 48 50 52 56 60 62 63 64 65 70 72 75 78 80 84 90 91 93 96 100 104 105 112 117 120 124 125 126 128 130 140 144 150 155 156 160 168 175 180 182 186 192 195 200 208 210 217 224 225 234 240 248 250 252 256 260 273 279 280 288 300 310 312 315 320 325 336 350 360 364 372 375 384 390 400 403 416 420 434 448 450 455 465 468 480 496 500 504 512 520 525 546 558 560 576 585 600 620 624 630 640 650 651 672 700 720 728 744 750 768 775 780 800 806 819 832 840 868 875 896 900 910 930 936 960 975 992 1000 1008 1024 1040 1050 1085 1092 1116 1120 1125 1152 1170 1200 1209 1240 1248 1260 1280 1300 1302 1344 1365 1395 1400 1440 1456 1488 1500 1536 1550 1560 1575 1600 1612 1625 1638 1664 1680 1736 1750 1792 1800 1820 1860 1872 1920 1950 1953 1984 2000 2015 2016 2080 2100 2170 2184 2232 2240 2250 2275 2304 2325 2340 2400 2418 2480 2496 2520 2560 2600 2604 2625 2688 2730 2790 2800 2821 2880 2912 2925 2976 3000 3072 3100 3120 3150 3200 3224 3250 3255 3276 3328 3360 3472 3500 3584 3600 3627 3640 3720 3744 3840 3875 3900 3906 3968 4000 4030 4032 4095 4160 4200 4340 4368 4464 4480 4500 4550 4608 4650 4680 4800 4836 4875 4960 4992 5040 5120 5200 5208 5250 5376 5425 5460 5580 5600 5642 5760 5824 5850 5952 6000 6045 6197 6200 6240 6300 6400 6448 6500 6510 6552 6656 6720 6825 6944 6975 7000 7168 7200 7254 7280 7440 7488 7680 7750 7800 7812 7875 7936 8000 8060 8064 8190 8320 8400 8463 8680 8736 8928 8960 9000 9100 9216 9300 9360 9600 9672 9750 9765 9920 9984 10075 10080 10400 10416 10500 10752 10850 10920 11160 11200 11284 11375 11520 11625 11648 11700 11904 12000 12090 12394 12400 12480 12600 12800 12896 13000 13020 13104 13312 13440 13650 13888 13950 14000 14105 14400 14508 14560 14625 14880 14976 15360 15500 15600 15624 15750 15872 16000 16120 16128 16275 16380 16640 16800 16926 17360 17472 17856 17920 18000 18135 18200 18591 18600 18720 19200 19344 19500 19530 19840 19968 20150 20160 20475 20800 20832 21000 21504 21700 21840 22320 22400 22568 22750 23040 23250 23296 23400 23808 24000 24180 24788 24800 24960 25200 25389 25600 25792 26000 26040 26208 26880 27125 27300 27776 27900 28000 28210 28800 29016 29120 29250 29760 29952 30225 30985 31000 31200 31248 31500 31744 32000 32240 32256 32550 32760 33280 33600 33852 34125 34720 34875 34944 35712 35840 36000 36270 36400 37182 37200 37440 38400 38688 39000 39060 39680 39936 40300 40320 40950 41600 41664 42000 42315 43379 43400 43680 44640 44800 45136 45500 46080 46500 46592 46800 47616 48000 48360 48825 49576 49600 49920 50375 50400 50778 51584 52000 52080 52416 53760 54250 54600 55552 55773 55800 56000 56420 57600 58032 58240 58500 59520 59904 60450 61970 62000 62400 62496 63000 64000 64480 64512 65100 65520 66560 67200 67704 68250 69440 69750 69888 70525 71424 72000 72540 72800 74364 74400 74880 76800 77376 78000 78120 79360 80561 80600 80640 81375 81900 83200 83328 84000 84630 86758 86800 87360 89280 89600 90272 90675 91000 92955 93000 93184 93600 95232 96000 96720 97650 99152 99200 99840 100750 100800 101556 102375 103168 104000 104160 104832 107520 108500 109200 111104 111546 111600 112000 112840 115200 116064 116480 117000 119040 119808 120900 123940 124000 124800 124992 126000 126945 128000 128960 130137 130200 131040 134400 135408 136500 138880 139500 139776 141050 142848 144000 145080 145600 148728 148800 149760 151125 154752 154925 156000 156240 158720 161122 161200 161280 162750 163800 166400 166656 168000 169260 173516 173600 174720 178560 179200 180544 181350 182000 185910 186000 187200 192000 192107 193440 195300 198304 198400 199680 201500 201600 203112 204750 206336 208000 208320 209664 211575 216895 217000 218400 222208 223092 223200 224000 225680 230400 232128 232960 234000 238080 241683 241800 244125 247880 248000 249600 249984 252000 253890 257920 260274 260400 262080 268800 270816 273000 277760 278865 279000 279552 282100 285696 288000 290160 291200 297456 297600 299520 302250 309504 309850 312000 312480 322244 322400 322560 325500 327600 332800 333312 336000 338520 347032 347200 349440 352625 357120 361088 362700 364000 371820 372000 374400 384000 384214 386880 390411 390600 396608 396800 402805 403000 403200 406224 409500 412672 416000 416640 419328 423150 433790 434000 436800 446184 446400 448000 451360 453375 464256 464775 465920 468000 476160 483366 483600 488250 495760 496000 499200 499968 504000 507780 515840 520548 520800 524160 537600 541632 546000 555520 557730 558000 563927 564200 576000 576321 580320 582400 594912 595200 599040 604500 619008 619700 624000 624960 634725 644488 644800 650685 651000 655200 666624 672000 677040 694064 694400 698880 705250 714240 722176 725049 725400 728000 743640 744000 748800 768428 773760 774625 780822 781200 793216 793600 805610 806000 806400 812448 819000 832000 833280 838656 846300 867580 868000 873600 892368 892800 896000 902720 906750 928512 929550 936000 960535 966732 967200 976500 991520 992000 998400 999936 1008000 1015560 1031680 1041096 1041600 1048320 1057875 1083264 1084475 1092000 1111040 1115460 1116000 1127854 1128400 1152000 1152642 1160640 1164800 1189824 1190400 1208415 1209000 1238016 1239400 1248000 1249920 1269450 1288976 1289600 1301370 1302000 1310400 1344000 1344749 1354080 1388128 1388800 1394325 1397760 1410500 1428480 1444352 1450098 1450800 1456000 1487280 1488000 1497600 1536856 1547520 1549250 1561644 1562400 1586432 1611220 1612000 1612800 1624896 1638000 1664000 1666560 1691781 1692600 1728963 1735160 1736000 1747200 1784736 1785600 1805440 1813500 1857024 1859100 1872000 1921070 1933464 1934400 1952055 1953000 1983040 1984000 1999872 2014025 2016000 2031120 2063360 2082192 2083200 2096640 2115750 2166528 2168950 2184000 2230920 2232000 2255708 2256800 2305284 2321280 2323875 2329600 2379648 2380800 2416830 2418000 2478800 2496000 2497391 2499840 2538900 2577952 2579200 2602740 2604000 2620800 2688000 2689498 2708160 2776256 2777600 2788650 2819635 2821000 2881605 2888704 2900196 2901600 2912000 2974560 2976000 2995200 3073712 3095040 3098500 3123288 3124800 3172864 3173625 3222440 3224000 3249792 3253425 3276000 3333120 3383562 3385200 3457926 3470320 3472000 3494400 3569472 3571200 3610880 3625245 3627000 3714048 3718200 3744000 3842140 3866928 3868800 3904110 3906000 3966080 3968000 4028050 4032000 4034247 4062240 4164384 4166400 4193280 4231500 4333056 4337900 4368000 4461840 4464000 4511416 4513600 4610568 4642560 4647750 4759296 4802675 4833660 4836000 4957600 4992000 4994782 4999680 5075343 5077800 5155904 5158400 5205480 5208000 5241600 5378996 5416320 5422375 5552512 5555200 5577300 5639270 5642000 5763210 5800392 5803200 5824000 5949120 5952000 6042075 6147424 6190080 6197000 6246576 6249600 6345728 6347250 6444880 6448000 6499584 6506850 6552000 6723745 6767124 6770400 6915852 6940640 6944000 6971625 6988800 7138944 7142400 7221760 7250490 7254000 7436400 7488000 7492173 7684280 7733856 7737600 7808220 7812000 7932160 8056100 8064000 8068494 8124480 8328768 8332800 8458905 8463000 8644815 8666112 8675800 8736000 8923680 8928000 9022832 9027200 9221136 9285120 9295500 9518592 9605350 9667320 9672000 9760275 9915200 9989564 9999360 10070125 10150686 10155600 10311808 10316800 10410960 10416000 10483200 10757992 10832640 10844750 11105024 11154600 11278540 11284000 11526420 11600784 11606400 11648000 11898240 11904000 12084150 12102741 12294848 12394000 12486955 12493152 12499200 12694500 12889760 12896000 12999168 13013700 13104000 13447490 13534248 13540800 13831704 13881280 13888000 13943250 14098175 14277888 14408025 14443520 14500980 14508000 14872800 14976000 14984346 15368560 15467712 15475200 15616440 15624000 15864320 16112200 16136988 16248960 16267125 16657536 16665600 16917810 16926000 17289630 17351600 17472000 17481737 17847360 17856000 18045664 18054400 18126225 18442272 18570240 18591000 19037184 19210700 19334640 19344000 19520550 19830400 19979128 20140250 20171235 20301372 20311200 20623616 20821920 20832000 20966400 21515984 21665280 21689500 22210048 22309200 22476519 22557080 22568000 23052840 23201568 23212800 23796480 24013375 24168300 24205482 24589696 24788000 24973910 24986304 24998400 25376715 25389000 25779520 25792000 25998336 26027400 26208000 26894980 27068496 27081600 27663408 27762560 27776000 27886500 28196350 28555776 28816050 29001960 29016000 29745600 29968692 30210375 30737120 30935424 30950400 31232880 31248000 31728640 32224400 32273976 32497920 32534250 33315072 33618725 33835620 33852000 34579260 34703200 34944000 34963474 35694720 35712000 36091328 36108800 36252450 36884544 37182000 37460865 38421400 38669280 38688000 39041100 39660800 39958256 40280500 40342470 40602744 40622400 41247232 41643840 41664000 42294525 43031968 43224075 43330560 43379000 44420096 44618400 44953038 45114160 45136000 46105680 46403136 46425600 47592960 48026750 48336600 48410964 48801375 49179392 49576000 49947820 49972608 49996800 50753430 50778000 51559040 51584000 52054800 52416000 52445211 53789960 54136992 54163200 55326816 55525120 55773000 56392700 57111552 57632100 58003920 58032000 59491200 59937384 60420750 60513705 61474240 61870848 62434775 62465760 62496000 64448800 64547952 64995840 65068500 66630144 67237450 67671240 67704000 69158520 69406400 69926948 70490875 71389440 72040125 72182656 72217600 72504900 73769088 74364000 74921730 76842800 77338560 77376000 78082200 79321600 79916512 80561000 80684940 81205488 81244800 82494464 83287680 83328000 84589050 86063936 86448150 86758000 87408685 89236800 89906076 90228320 90272000 90631125 92211360 92806272 92851200 95185920 96053500 96673200 96821928 97602750 98358784 99152000 99895640 99945216 100856175 101506860 101556000 103118080 104109600 104832000 104890422 107579920 108273984 108326400 110653632 111050240 111546000 112382595 112785400 115264200 116007840 116064000 118982400 119874768 120841500 121027410 122948480 123741696 124869550 124931520 124992000 126883575 128897600 129095904 129991680 130137000 133260288 134474900 135342480 135408000 138317040 138812800 139853896 140981750 142778880 144080250 144365312 145009800 147538176 148728000 149843460 153685600 154677120 154752000 156164400 157335633 158643200 159833024 161122000 161369880 162410976 162489600 166575360 168093625 169178100 172127872 172896300 173516000 174817370 178473600 179812152 180456640 180544000 181262250 184422720 185612544 187304325 192107000 193346400 193643856 195205500 196717568 198304000 199791280 199890432 201712350 203013720 203112000 206236160 208219200 209780844 211472625 215159840 216120375 216547968 216652800 221307264 222100480 223092000 224765190 225570800 230528400 232015680 232128000 237964800 239749536 241683000 242054820 245896960 247483392 249739100 249863040 249984000 253767150 257795200 258191808 260274000 262226055 268949800 270684960 270816000 276634080 277625600 279707792 281963500 285557760 288160500 288730624 290019600 295076352 297456000 299686920 302568525 307371200 309354240 312173875 312328800 314671266 319666048 322244000 322739760 324821952 324979200 333150720 336187250 338356200 344255744 345792600 347032000 349634740 356947200 359624304 360913280 361088000 362524500 368845440 371225088 374608650 384214000 386692800 387287712 390411000 396608000 399582560 399780864 403424700 406027440 406224000 412472320 416438400 419561688 422945250 430319680 432240750 433095936 437043425 442614528 446184000 449530380 451141600 461056800 464031360 464256000 475929600 479499072 483366000 484109640 491793920 499478200 499726080 504280875 507534300 515590400 516383616 520548000 524452110 537899600 541369920 541632000 553268160 555251200 559415584 561912975 563927000 576321000 577461248 580039200 590152704 594912000 599373840 605137050 614742400 618708480 624347750 624657600 629342532 634417875 639332096 644488000 645479520 649643904 649958400 666301440 672374500 676712400 688511488 691585200 694064000 699269480 713894400 719248608 721826560 725049000 737690880 742450176 749217300 768428000 773385600 774575424 780822000 786678165 793216000 799165120 806849400 812054880 812448000 832876800 839123376 845890500 860639360 864481500 866191872 874086850 885229056 892368000 899060760 902283200 922113600 928062720 936521625 958998144 966732000 968219280 983587840 998956400 999452160 1008561750 1015068600 1031180800 1032767232 1041096000 1048904220 1075799200 1082739840 1083264000 1106536320 1110502400 1118831168 1123825950 1127854000 1152642000 1160078400 1189824000 1198747680 1210274100 1229484800 1237416960 1248695500 1249315200 1258685064 1268835750 1278664192 1288976000 1290959040 1299287808 1311130275 1344749000 1353424800 1377022976 1383170400 1388128000 1398538960 1427788800 1438497216 1443653120 1450098000 1475381760 1498434600 1512842625 1536856000 1546771200 1549150848 1561644000 1573356330 1598330240 1613698800 1624109760 1624896000 1665753600 1678246752 1691781000 1721278720 1728963000 1732383744 1748173700 1770458112 1784736000 1798121520 1804566400 1844227200 1856125440 1873043250 1917996288 1933464000 1936438560 1997912800 1998904320 2017123500 2030137200 2062361600 2065534464 2082192000 2097808440 2151598400 2165479680 2185217125 2213072640 2237662336 2247651900 2255708000 2305284000 2320156800 2379648000 2397495360 2420548200 2458969600 2497391000 2498630400 2517370128 2537671500 2557328384 2577952000 2581918080 2598575616 2622260550 2689498000 2706849600 2766340800 2776256000 2797077920 2809564875 2876994432 2887306240 2900196000 2950763520 2996869200 3025685250 3073712000 3093542400 3098301696 3123288000 3146712660 3196660480 3227397600 3248219520 3249792000 3331507200 3356493504 3383562000 3442557440 3457926000 3496347400 3569472000 3596243040 3609132800 3688454400 3712250880 3746086500 3835992576 3866928000 3872877120 3933390825 3995825600 4034247000 4060274400 4131068928 4164384000 4195616880 4303196800 4330959360 4370434250 4426145280 4475324672 4495303800 4511416000 4610568000 4640313600 4794990720 4841096400 4917939200 4994782000 4997260800 5034740256 5075343000 5155904000 5163836160 5197151232 5244521100 5378996000 5413699200 5532681600 5552512000 5594155840 5619129750 5753988864 5800392000 5993738400 6051370500 6147424000 6187084800 6196603392 6246576000 6293425320 6393320960 6454795200 6496439040 6555651375 6712987008 6767124000 6885114880 6915852000 6992694800 7138944000 7192486080 7218265600 7376908800 7492173000 7671985152 7733856000 7745754240 7866781650 7991651200 8068494000 8120548800 8328768000 8391233760 8606393600 8661918720 8740868500 8852290560 8950649344 8990607600 9022832000 9221136000 9280627200 9589981440 9682192800 9989564000 9994521600 10069480512 10150686000 10311808000 10327672320 10489042200 10757992000 10827398400 11065363200 11188311680 11238259500 11507977728 11600784000 11987476800 12102741000 12294848000 12393206784 12493152000 12586850640 12786641920 12909590400 12992878080 13111302750 13425974016 13534248000 13831704000 13985389600 14384972160 14436531200 14753817600 14984346000 15467712000 15491508480 15733563300 15983302400 16136988000 16241097600 16657536000 16782467520 17212787200 17481737000 17901298688 17981215200 18045664000 18442272000 18561254400 19179962880 19364385600 19666954125 19979128000 20138961024 20301372000 20655344640 20978084400 21515984000 21654796800 22130726400 22376623360 22476519000 23015955456 23201568000 23974953600 24205482000 24589696000 24986304000 25173701280 25819180800 25985756160 26222605500 26851948032 27068496000 27663408000 27970779200 28769944320 29968692000 30935424000 30983016960 31467126600 31966604800 32273976000 32482195200 33564935040 34425574400 34963474000 35962430400 36091328000 36884544000 38359925760 38728771200 39333908250 39958256000 40277922048 40602744000 41956168800 43031968000 43309593600 44261452800 44753246720 44953038000 46403136000 47949907200 48410964000 49972608000 50347402560 51638361600 52445211000 53703896064 54136992000 55326816000 55941558400 57539888640 59937384000 61966033920 62934253200 63933209600 64547952000 64964390400 67129870080 69926948000 71924860800 72182656000 73769088000 77457542400 78667816500 79916512000 80555844096 81205488000 83912337600 86063936000 89506493440 89906076000 92806272000 95899814400 96821928000 100694805120 103276723200 104890422000 108273984000 110653632000 111883116800 115079777280 119874768000 125868506400 129095904000 129928780800 134259740160 139853896000 143849721600 154915084800 157335633000 159833024000 161111688192 162410976000 167824675200 172127872000 179812152000 191799628800 193643856000 201389610240 209780844000 216547968000 221307264000 223766233600 239749536000 251737012800 258191808000 268519480320 279707792000 287699443200 309830169600 314671266000 319666048000 324821952000 335649350400 359624304000 387287712000 402779220480 419561688000 447532467200 479499072000 503474025600 516383616000 559415584000 575398886400 629342532000 649643904000 671298700800 719248608000 774575424000 805558440960 839123376000 958998144000 1006948051200 1118831168000 1258685064000 1342597401600 1438497216000 1549150848000 1678246752000 2013896102400 2237662336000 2517370128000 2876994432000 3356493504000 4027792204800 5034740256000 6712987008000 10069480512000 20138961024000
- Sum of all divisors σ(n): 92215805939712
- Sum of proper divisors (its aliquot sum) s(n): 72076844915712
- 20138961024000 is an abundant number, because the sum of its proper divisors (72076844915712) is greater than itself. Its abundance is 51937883891712
Bases of 20138961024000
- Binary: 1001001010000111101111001111000110100000000002
- Hexadecimal: 0x1250F79E3400
- Base-36: 74ZPLF5S0
Squares and roots of 20138961024000
- 20138961024000 squared (201389610240002) is 405577751126191128576000000
- 20138961024000 cubed (201389610240003) is 8167914522131935243966636621824000000000
-
The
square root of 20138961024000 is 4487645.3763638677 -
The
cube root of 20138961024000 is 27206.8975010405
Scales and comparisons
How big is 20138961024000?- 20,138,961,024,000 seconds is equal to 640,356 years, 34 weeks, 4 days, 16 hours.
-
To count from 1 to 20,138,961,024,000 would take you about one million, six hundred thousand, eight hundred ninety-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 20138961024000 cubic inches would be around 2267.2 feet tall.
Recreational maths with 20138961024000
- 20138961024000 backwards is 00042016983102
- 20138961024000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 20138961024000's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 20138961024000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 20138961024000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/20138961024000/
Chicago style:
Numbermatics. 2024. "Number 20138961024000 - Facts about the integer". https://numbermatics.com/n/20138961024000/
The information we have on file for 20138961024000 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 20138961024000, math, Factors of 20138961024000, curriculum, school, college, exams, university, Prime factorization of 20138961024000, STEM, science, technology, engineering, physics, economics, calculator, twenty trillion, one hundred thirty-eight billion, nine hundred sixty-one million, twenty-four thousand.