21742399801872000
21,742,399,801,872,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 21742399801872000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
21742399801872000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 21742399801872000:
27 × 35 × 53 × 414 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 41 × 41 × 41 × 41 × 1979)See below for interesting mathematical facts about the number 21742399801872000 from the Numbermatics database.
Names of 21742399801872000
- Cardinal: 21742399801872000 can be written as Twenty-one quadrillion, seven hundred forty-two trillion, three hundred ninety-nine billion, eight hundred one million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 2.1742399801872 × 1016
Factors of 21742399801872000
Divisors of 21742399801872000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 75 80 81 82 90 96 100 108 120 123 125 128 135 144 150 160 162 164 180 192 200 205 216 225 240 243 246 250 270 288 300 320 324 328 360 369 375 384 400 405 410 432 450 480 486 492 500 540 576 600 615 640 648 656 675 720 738 750 800 810 820 864 900 960 972 984 1000 1025 1080 1107 1125 1152 1200 1215 1230 1296 1312 1350 1440 1476 1500 1600 1620 1640 1681 1728 1800 1845 1920 1944 1968 1979 2000 2025 2050 2160 2214 2250 2400 2430 2460 2592 2624 2700 2880 2952 3000 3075 3200 3240 3280 3321 3362 3375 3456 3600 3690 3888 3936 3958 4000 4050 4100 4320 4428 4500 4800 4860 4920 5043 5125 5184 5248 5400 5535 5760 5904 5937 6000 6075 6150 6480 6560 6642 6724 6750 7200 7380 7776 7872 7916 8000 8100 8200 8405 8640 8856 9000 9225 9600 9720 9840 9895 9963 10086 10125 10250 10368 10800 11070 11808 11874 12000 12150 12300 12960 13120 13284 13448 13500 14400 14760 15129 15375 15552 15744 15832 16000 16200 16400 16605 16810 17280 17712 17811 18000 18450 19440 19680 19790 19926 20172 20250 20500 21600 22140 23616 23748 24000 24300 24600 25215 25920 26240 26568 26896 27000 27675 28800 29520 29685 30258 30375 30750 31104 31664 32400 32800 33210 33620 35424 35622 36000 36900 38880 39360 39580 39852 40344 40500 41000 42025 43200 44280 45387 46125 47232 47496 48000 48600 49200 49475 49815 50430 51840 53136 53433 53792 54000 55350 59040 59370 60516 60750 61500 63328 64800 65600 66420 67240 68921 70848 71244 72000 73800 75645 77760 78720 79160 79704 80688 81000 81139 82000 83025 84050 86400 88560 89055 90774 92250 94992 97200 98400 98950 99630 100860 106272 106866 107584 108000 110700 118080 118740 121032 121500 123000 126075 126656 129600 131200 132840 134480 136161 137842 138375 141696 142488 144000 147600 148425 151290 155520 158320 159408 160299 161376 162000 162278 164000 166050 168100 177120 178110 181548 184500 189984 194400 196800 197900 199260 201720 206763 210125 212544 213732 215168 216000 221400 226935 236160 237480 242064 243000 243417 246000 247375 249075 252150 253312 259200 265680 267165 268960 272322 275684 276750 284976 295200 296850 302580 316640 318816 320598 322752 324000 324556 328000 332100 336200 344605 354240 356220 363096 369000 378225 379968 388800 393600 395800 398520 403440 405695 408483 413526 415125 420250 425088 427464 432000 442800 445275 453870 474960 480897 484128 486000 486834 492000 494750 498150 504300 531360 534330 537920 544644 551368 553500 569952 590400 593700 605160 620289 630375 633280 637632 641196 645504 648000 649112 656000 664200 672400 680805 689210 708480 712440 726192 730251 738000 742125 756450 759936 777600 791600 797040 801495 806880 811390 816966 827052 830250 840500 854928 885600 890550 907740 949920 961794 968256 972000 973668 984000 989500 996300 1008600 1033815 1062720 1068660 1075840 1089288 1102736 1107000 1134675 1139904 1180800 1187400 1210320 1217085 1240578 1245375 1260750 1266560 1275264 1282392 1296000 1298224 1328400 1335825 1344800 1361610 1378420 1424880 1452384 1460502 1476000 1484250 1512900 1583200 1594080 1602990 1613760 1622780 1633932 1654104 1660500 1681000 1709856 1723025 1771200 1781100 1815480 1860867 1891125 1899840 1923588 1936512 1944000 1947336 1968000 1979000 1992600 2017200 2028475 2042415 2067630 2125440 2137320 2178576 2190753 2205472 2214000 2226375 2269350 2279808 2374800 2404485 2420640 2434170 2481156 2490750 2521500 2564784 2596448 2656800 2671650 2689600 2723220 2756840 2825761 2849760 2904768 2921004 2952000 2968500 3025800 3101445 3166400 3188160 3205980 3227520 3245560 3267864 3308208 3321000 3326699 3362000 3404025 3419712 3446050 3542400 3562200 3630960 3651255 3721734 3782250 3799680 3847176 3888000 3894672 3958000 3985200 4007475 4034400 4056950 4084830 4135260 4274640 4357152 4381506 4410944 4428000 4452750 4538700 4749600 4808970 4841280 4868340 4962312 4981500 5043000 5129568 5169075 5192896 5313600 5343300 5379200 5446440 5513680 5582601 5651522 5673375 5699520 5809536 5842008 5904000 5937000 6051600 6085425 6202890 6332800 6376320 6411960 6491120 6535728 6572259 6616416 6642000 6653398 6679125 6724000 6808050 6839424 6892100 7124400 7261920 7302510 7443468 7564500 7694352 7789344 7916000 7970400 8014950 8068800 8113900 8169660 8270520 8477283 8549280 8615125 8714304 8763012 8821888 8856000 8905500 9077400 9304335 9499200 9617940 9682560 9736680 9924624 9963000 9980097 10086000 10142375 10212075 10259136 10338150 10385792 10627200 10686600 10892880 10953765 11027360 11165202 11303044 11346750 11399040 11684016 11874000 12022425 12103200 12170850 12405780 12823920 12982240 13071456 13144518 13232832 13284000 13306796 13358250 13448000 13616100 13784200 14128805 14248800 14523840 14605020 14886936 15129000 15388704 15507225 15578688 15832000 15940800 16029900 16137600 16227800 16339320 16541040 16633495 16747803 16954566 17020125 17098560 17230250 17428608 17526024 17712000 17811000 18154800 18256275 18608670 18998400 19235880 19473360 19716777 19849248 19926000 19960194 20037375 20172000 20284750 20424150 20518272 20676300 21373200 21785760 21907530 22054720 22330404 22606088 22693500 23368032 23748000 24044850 24206400 24341700 24811560 25431849 25647840 25845375 25964480 26142912 26289036 26465664 26568000 26613592 26716500 26896000 27232200 27568400 27913005 28257610 28497600 29047680 29210040 29773872 29940291 30258000 30427125 30777408 31014450 31157376 31664000 31881600 32059800 32455600 32678640 32861295 33082080 33266990 33495606 33909132 34040250 34197120 34460500 35052048 35622000 36309600 36512550 37217340 38471760 38946720 39433554 39698496 39852000 39920388 40074750 40344000 40569500 40848300 41352600 42386415 42746400 43571520 43815060 44109440 44660808 45212176 45387000 46521675 46736064 47496000 48089700 48412800 48683400 49623120 49900485 50863698 51060375 51295680 51690750 51928960 52285824 52578072 53136000 53227184 53433000 54464400 54768825 55136800 55826010 56515220 56995200 58420080 59547744 59880582 60112125 60516000 60854250 61554816 62028900 64119600 64911200 65357280 65722590 66164160 66533980 66991212 67818264 68080500 68921000 70104096 70644025 71244000 72619200 73025100 74434680 76295547 76943520 77536125 77893440 78867108 79396992 79704000 79840776 80149500 80688000 81139000 81696600 82705200 83167475 83739015 84772830 85492800 87143040 87630120 89321616 89820873 90424352 90774000 91281375 93043350 93472128 94992000 96179400 97366800 98583885 99246240 99800970 101727396 102120750 102591360 103381500 105156144 106454368 106866000 108928800 109537650 110273600 111652020 113030440 116840160 119095488 119761164 120224250 121032000 121708500 124057800 127159245 128239200 129822400 130714560 131445180 132328320 133067960 133982424 135636528 136161000 136394659 137842000 139565025 140208192 141288050 142488000 145238400 146050200 148869360 149701455 152591094 153887040 155072250 155786880 157734216 159408000 159681552 160299000 162278000 163393200 164306475 165410400 166334950 167478030 169545660 170985600 175260240 178643232 179641746 180848704 181548000 182562750 186086700 192358800 194733600 197167770 198492480 199601940 203454792 204241500 206763000 210312288 211932075 212908736 213732000 217857600 219075300 220547200 223304040 226060880 228886641 232608375 233680320 238190976 239522328 240448500 242064000 243417000 248115600 249502425 254318490 256478400 259644800 261429120 262890360 266135920 267964848 269462619 271273056 272322000 272789318 273844125 275684000 279130050 280416384 282576100 284976000 292100400 297738720 299402910 305182188 307774080 310144500 315468432 319363104 320598000 324556000 326786400 328612950 330820800 332669900 334956060 339091320 350520480 353220125 357286464 359283492 361697408 363096000 365125500 372173400 381477735 384717600 389467200 394335540 396984960 399203880 406909584 408483000 409183977 413526000 415837375 418695075 420624576 423864150 425817472 427464000 435715200 438150600 446608080 449104365 452121760 457773282 465216750 467360640 479044656 480897000 486834000 492919425 496231200 499004850 508636980 512956800 525780720 532271840 535929696 538925238 542546112 544644000 545578636 547688250 551368000 558260100 565152200 584200800 595477440 598805820 610364376 620289000 630936864 635796225 638726208 641196000 649112000 653572800 657225900 661641600 665339800 669912120 678182640 681973295 686659923 697825125 701040960 706440250 714572928 718566984 726192000 730251000 744346800 748507275 762955470 769435200 778934400 788671080 798407760 808387857 813819168 816966000 818367954 821532375 827052000 831674750 837390150 841249152 847728300 854928000 876301200 893216160 898208730 904243520 915546564 930433500 958089312 961794000 973668000 985838850 992462400 998009700 1017273960 1051561440 1059660375 1064543680 1071859392 1077850476 1085092224 1089288000 1091157272 1095376500 1102736000 1116520200 1130304400 1144433205 1168401600 1190954880 1197611640 1220728752 1227551931 1240578000 1247512125 1261873728 1271592450 1277452416 1282392000 1298224000 1307145600 1314451800 1330679600 1339824240 1347313095 1356365280 1363946590 1373319846 1395650250 1402081920 1412880500 1437133968 1460502000 1488693600 1497014550 1525910940 1538870400 1577342160 1596815520 1616775714 1627638336 1633932000 1636735908 1643064750 1654104000 1663349500 1674780300 1695456600 1752602400 1786432320 1796417460 1808487040 1831093128 1860867000 1907388675 1916178624 1923588000 1947336000 1971677700 1984924800 1996019400 2034547920 2045919885 2093475375 2103122880 2119320750 2129087360 2143718784 2155700952 2178576000 2182314544 2190753000 2233040400 2245521825 2260608800 2288866410 2336803200 2395223280 2441457504 2455103862 2464597125 2481156000 2495024250 2523747456 2543184900 2564784000 2628903600 2661359200 2679648480 2694626190 2712730560 2727893180 2746639692 2791300500 2825761000 2874267936 2921004000 2977387200 2994029100 3051821880 3154684320 3178981125 3193631040 3233551428 3255276672 3267864000 3273471816 3286129500 3308208000 3326699000 3349560600 3390913200 3409866475 3433299615 3505204800 3572864640 3592834920 3662186256 3682655793 3721734000 3742536375 3814777350 3832357248 3847176000 3894672000 3943355400 3992038800 4041939285 4069095840 4091839770 4186950750 4206245760 4238641500 4311401904 4364629088 4381506000 4466080800 4491043650 4521217600 4577732820 4790446560 4882915008 4910207724 4929194250 4962312000 4990048500 5086369800 5257807200 5322718400 5359296960 5389252380 5425461120 5455786360 5493279384 5582601000 5592181019 5651522000 5722166025 5748535872 5842008000 5954774400 5988058200 6103643760 6137759655 6309368640 6357962250 6387262080 6467102856 6535728000 6546943632 6572259000 6653398000 6699121200 6736565475 6781826400 6819732950 6866599230 7010409600 7185669840 7324372512 7365311586 7443468000 7485072750 7629554700 7694352000 7886710800 7984077600 8083878570 8138191680 8183679540 8373901500 8477283000 8622803808 8729258176 8763012000 8932161600 8982087300 9042435200 9155465640 9536943375 9580893120 9765830016 9820415448 9858388500 9924624000 9980097000 10172739600 10229599425 10515614400 10645436800 10718593920 10778504760 10911572720 10986558768 11047967379 11165202000 11184362038 11227609125 11303044000 11444332050 11497071744 11684016000 11976116400 12207287520 12275519310 12618737280 12715924500 12934205712 13093887264 13144518000 13306796000 13398242400 13473130950 13563652800 13639465900 13733198460 14371339680 14648745024 14730623172 14886936000 14970145500 15259109400 15773421600 15968155200 16167757140 16276383360 16367359080 16747803000 16776543057 16954566000 17049332375 17166498075 17245607616 17458516352 17526024000 17864323200 17964174600 18310931280 18413278965 19073886750 19161786240 19640830896 19716777000 19960194000 20209696425 20345479200 20459198850 21031228800 21557009520 21823145440 21973117536 22095934758 22330404000 22368724076 22455218250 22606088000 22888664100 23952232800 24414575040 24551038620 25431849000 25868411424 26187774528 26289036000 26613592000 26796484800 26946261900 27127305600 27278931800 27466396920 27960905095 28610830125 28742679360 29297490048 29461246344 29773872000 29940291000 30518218800 30688798275 31546843200 31936310400 32335514280 32734718160 33143902137 33495606000 33553086114 33682827375 33909132000 34098664750 34332996150 34491215232 35052048000 35928349200 36621862560 36826557930 38147773500 39281661792 39433554000 39920388000 40419392850 40690958400 40918397700 43114019040 43646290880 43946235072 44191869516 44660808000 44737448152 44910436500 45212176000 45777328200 47904465600 48829150080 49102077240 50329629171 50863698000 51147997125 51736822848 52375549056 52578072000 53227184000 53592969600 53892523800 54557863600 54932793840 55239836895 55921810190 57221660250 57485358720 58922492688 59880582000 61036437600 61377596550 63093686400 64671028560 65469436320 66287804274 66991212000 67106172228 67365654750 67818264000 68197329500 68665992300 71856698400 73243725120 73653115860 76295547000 78563323584 78867108000 79840776000 80838785700 81381916800 81836795400 83882715285 85832490375 86228038080 87292581760 87892470144 88383739032 89321616000 89474896304 89820873000 91554656400 92066394825 95808931200 98204154480 100659258342 101048482125 101727396000 102295994250 103473645696 105156144000 107785047600 109115727200 109865587680 110479673790 111843620380 114443320500 117844985376 119761164000 122072875200 122755193100 129342057120 130938872640 132575608548 133982424000 134212344456 134731309500 135636528000 136394659000 137331984600 139804525475 143713396800 146487450240 147306231720 150988887513 152591094000 153443991375 157126647168 157734216000 159681552000 161677571400 163673590800 165719510685 167765430570 171664980750 172456076160 176767478064 178949792608 179641746000 183109312800 184132789650 196408308960 201318516684 202096964250 203454792000 204591988500 215570095200 218231454400 219731175360 220959347580 223687240760 228886641000 235689970752 239522328000 244145750400 245510386200 251648145855 258684114240 261877745280 265151217096 267964848000 268424688912 269462619000 272789318000 274663969200 276199184475 279609050950 287426793600 294612463440 301977775026 305182188000 306887982750 315468432000 323355142800 327347181600 331439021370 335530861140 343329961500 353534956128 357899585216 359283492000 366218625600 368265579300 392816617920 402637033368 404193928500 406909584000 409183977000 419413576425 431140190400 436462908800 439462350720 441918695160 447374481520 452966662539 457773282000 460331974125 471379941504 479044656000 491020772400 503296291710 517368228480 530302434192 536849377824 538925238000 545578636000 549327938400 552398368950 559218101900 589224926880 603955550052 610364376000 613775965500 646710285600 654694363200 662878042740 671061722280 686659923000 699022627375 707069912256 715799170432 718566984000 732437251200 736531158600 754944437565 785633235840 805274066736 808387857000 818367954000 828597553425 838827152850 862280380800 883837390320 894748963040 905933325078 915546564000 920663948250 982041544800 1006592583420 1060604868384 1073698755648 1077850476000 1091157272000 1098655876800 1104796737900 1118436203800 1178449853760 1207911100104 1220728752000 1227551931000 1258240729275 1293420571200 1309388726400 1325756085480 1342123444560 1358899987617 1373319846000 1380995922375 1398045254750 1414139824512 1437133968000 1473062317200 1509888875130 1610548133472 1616775714000 1636735908000 1657195106850 1677654305700 1767674780640 1789497926080 1811866650156 1831093128000 1841327896500 1964083089600 2013185166840 2097067882125 2121209736768 2147397511296 2155700952000 2182314544000 2197311753600 2209593475800 2236872407600 2264833312695 2356899707520 2415822200208 2455103862000 2516481458550 2586841142400 2651512170960 2684246889120 2717799975234 2746639692000 2761991844750 2796090509500 2946124634400 3019777750260 3221096266944 3233551428000 3273471816000 3314390213700 3355308611400 3535349561280 3578995852160 3623733300312 3662186256000 3682655793000 3774722187825 3928166179200 4026370333680 4142987767125 4194135764250 4242419473536 4311401904000 4419186951600 4473744815200 4529666625390 4831644400416 4910207724000 5032962917100 5303024341920 5368493778240 5435599950468 5493279384000 5523983689500 5592181019000 5892249268800 6039555500520 6291203646375 6442192533888 6467102856000 6546943632000 6628780427400 6710617222800 6794499938085 7070699122560 7247466600624 7365311586000 7549444375650 8052740667360 8285975534250 8388271528500 8838373903200 8947489630400 9059333250780 9663288800832 9820415448000 10065925834200 10606048683840 10736987556480 10871199900936 10986558768000 11047967379000 11184362038000 11324166563475 11784498537600 12079111001040 12582407292750 12934205712000 13257560854800 13421234445600 13588999876170 14494933201248 14730623172000 15098888751300 16105481334720 16571951068500 16776543057000 17676747806400 17894979260800 18118666501560 18873610939125 19326577601664 19640830896000 20131851668400 21212097367680 21742399801872 22095934758000 22368724076000 22648333126950 24158222002080 25164814585500 26515121709600 26842468891200 27177999752340 28989866402496 29461246344000 30197777502600 32210962669440 33143902137000 33553086114000 33972499690425 35353495612800 36237333003120 37747221878250 40263703336800 43484799603744 44191869516000 44737448152000 45296666253900 48316444004160 50329629171000 53030243419200 53684937782400 54355999504680 56620832817375 57979732804992 58922492688000 60395555005200 66287804274000 67106172228000 67944999380850 72474666006240 75494443756500 80527406673600 86969599207488 88383739032000 89474896304000 90593332507800 96632888008320 100659258342000 106060486838400 108711999009360 113241665634750 120791110010400 132575608548000 134212344456000 135889998761700 144949332012480 150988887513000 161054813347200 169862498452125 173939198414976 176767478064000 181186665015600 201318516684000 217423998018720 226483331269500 241582220020800 265151217096000 268424688912000 271779997523400 289898664024960 301977775026000 339724996904250 362373330031200 402637033368000 434847996037440 452966662539000 483164440041600 530302434192000 543559995046800 603955550052000 679449993808500 724746660062400 805274066736000 869695992074880 905933325078000 1087119990093600 1207911100104000 1358899987617000 1449493320124800 1811866650156000 2174239980187200 2415822200208000 2717799975234000 3623733300312000 4348479960374400 5435599950468000 7247466600624000 10871199900936000 21742399801872000
- Sum of all divisors σ(n): 83040631121448000
- Sum of proper divisors (its aliquot sum) s(n): 61298231319576000
- 21742399801872000 is an abundant number, because the sum of its proper divisors (61298231319576000) is greater than itself. Its abundance is 39555831517704000
Bases of 21742399801872000
- Binary: 10011010011111010011000111100001100000101001110100000002
- Hexadecimal: 0x4D3E98F0C14E80
- Base-36: 5Y31CKTWO00
Squares and roots of 21742399801872000
- 21742399801872000 squared (217423998018720002) is 472731949144443584854704384000000
- 21742399801872000 cubed (217423998018720003) is 10278327037416714579254606018588729806848000000000
-
The
square root of 21742399801872000 is 147453042.7013020305 -
The
cube root of 21742399801872000 is 279105.9912629571
Scales and comparisons
How big is 21742399801872000?- 21,742,399,801,872,000 seconds is equal to 691,341,060 years, 2 weeks, 1 day.
-
To count from 1 to 21,742,399,801,872,000 would take you about two billion, seventy-four million, twenty-three thousand, one hundred eighty 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 21742399801872000 cubic inches would be around 23258.8 feet tall.
Recreational maths with 21742399801872000
- 21742399801872000 backwards is 00027810899324712
- The number of decimal digits it has is: 17
- The sum of 21742399801872000's digits is 63
- 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 21742399801872000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 21742399801872000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/21742399801872000/
Chicago style:
Numbermatics. 2024. "Number 21742399801872000 - Facts about the integer". https://numbermatics.com/n/21742399801872000/
The information we have on file for 21742399801872000 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 21742399801872000, math, Factors of 21742399801872000, curriculum, school, college, exams, university, Prime factorization of 21742399801872000, STEM, science, technology, engineering, physics, economics, calculator, twenty-one quadrillion, seven hundred forty-two trillion, three hundred ninety-nine billion, eight hundred one million, eight hundred seventy-two thousand.