1993993931980800
1,993,993,931,980,800 is an even composite number composed of five prime numbers multiplied together.
1993993931980800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 1993993931980800:
226 × 35 × 52 × 67 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 67 × 73)See below for interesting mathematical facts about the number 1993993931980800 from the Numbermatics database.
Names of 1993993931980800
- Cardinal: 1993993931980800 can be written as One quadrillion, nine hundred ninety-three trillion, nine hundred ninety-three billion, nine hundred thirty-one million, nine hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.9939939319808 × 1015
Factors of 1993993931980800
Divisors of 1993993931980800
- Number of divisors d(n): 1944
-
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 45 48 50 54 60 64 67 72 73 75 80 81 90 96 100 108 120 128 134 135 144 146 150 160 162 180 192 200 201 216 219 225 240 243 256 268 270 288 292 300 320 324 335 360 365 384 400 402 405 432 438 450 480 486 512 536 540 576 584 600 603 640 648 657 670 675 720 730 768 800 804 810 864 876 900 960 972 1005 1024 1072 1080 1095 1152 1168 1200 1206 1215 1280 1296 1314 1340 1350 1440 1460 1536 1600 1608 1620 1675 1728 1752 1800 1809 1825 1920 1944 1971 2010 2025 2048 2144 2160 2190 2304 2336 2400 2412 2430 2560 2592 2628 2680 2700 2880 2920 3015 3072 3200 3216 3240 3285 3350 3456 3504 3600 3618 3650 3840 3888 3942 4020 4050 4096 4288 4320 4380 4608 4672 4800 4824 4860 4891 5025 5120 5184 5256 5360 5400 5427 5475 5760 5840 5913 6030 6075 6144 6400 6432 6480 6570 6700 6912 7008 7200 7236 7300 7680 7776 7884 8040 8100 8192 8576 8640 8760 9045 9216 9344 9600 9648 9720 9782 9855 10050 10240 10368 10512 10720 10800 10854 10950 11520 11680 11826 12060 12150 12288 12800 12864 12960 13140 13400 13824 14016 14400 14472 14600 14673 15075 15360 15552 15768 16080 16200 16281 16384 16425 17152 17280 17520 17739 18090 18432 18688 19200 19296 19440 19564 19710 20100 20480 20736 21024 21440 21600 21708 21900 23040 23360 23652 24120 24300 24455 24576 25600 25728 25920 26280 26800 27135 27648 28032 28800 28944 29200 29346 29565 30150 30720 31104 31536 32160 32400 32562 32768 32850 34304 34560 35040 35478 36180 36864 37376 38400 38592 38880 39128 39420 40200 40960 41472 42048 42880 43200 43416 43800 44019 45225 46080 46720 47304 48240 48600 48910 49152 49275 51200 51456 51840 52560 53600 54270 55296 56064 57600 57888 58400 58692 59130 60300 61440 62208 63072 64320 64800 65124 65536 65700 68608 69120 70080 70956 72360 73365 73728 74752 76800 77184 77760 78256 78840 80400 81405 81920 82944 84096 85760 86400 86832 87600 88038 88695 90450 92160 93440 94608 96480 97200 97820 98304 98550 102400 102912 103680 105120 107200 108540 110592 112128 115200 115776 116800 117384 118260 120600 122275 122880 124416 126144 128640 129600 130248 131072 131400 132057 135675 137216 138240 140160 141912 144720 146730 147456 147825 149504 153600 154368 155520 156512 157680 160800 162810 163840 165888 168192 171520 172800 173664 175200 176076 177390 180900 184320 186880 189216 192960 194400 195640 196608 197100 204800 205824 207360 210240 214400 217080 220095 221184 224256 230400 231552 233600 234768 236520 241200 244550 245760 248832 252288 257280 259200 260496 262144 262800 264114 271350 274432 276480 280320 283824 289440 293460 294912 295650 299008 307200 308736 311040 313024 315360 321600 325620 327680 331776 336384 343040 345600 347328 350400 352152 354780 361800 366825 368640 373760 378432 385920 388800 391280 393216 394200 396171 407025 409600 411648 414720 420480 428800 434160 440190 442368 443475 448512 460800 463104 467200 469536 473040 482400 489100 491520 497664 504576 514560 518400 520992 524288 525600 528228 542700 548864 552960 560640 567648 578880 586920 589824 591300 598016 614400 617472 622080 626048 630720 643200 651240 655360 660285 663552 672768 686080 691200 694656 700800 704304 709560 723600 733650 737280 747520 756864 771840 777600 782560 786432 788400 792342 814050 819200 823296 829440 840960 857600 868320 880380 884736 886950 897024 921600 926208 934400 939072 946080 964800 978200 983040 995328 1009152 1029120 1036800 1041984 1048576 1051200 1056456 1085400 1097728 1100475 1105920 1121280 1135296 1157760 1173840 1179648 1182600 1188513 1196032 1228800 1234944 1244160 1252096 1261440 1286400 1302480 1310720 1320570 1327104 1345536 1372160 1382400 1389312 1401600 1408608 1419120 1447200 1467300 1474560 1495040 1513728 1543680 1555200 1565120 1572864 1576800 1584684 1628100 1638400 1646592 1658880 1681920 1715200 1736640 1760760 1769472 1773900 1794048 1843200 1852416 1868800 1878144 1892160 1929600 1956400 1966080 1980855 1990656 2018304 2058240 2073600 2083968 2097152 2102400 2112912 2170800 2195456 2200950 2211840 2242560 2270592 2315520 2347680 2359296 2365200 2377026 2392064 2457600 2469888 2488320 2504192 2522880 2572800 2604960 2621440 2641140 2654208 2691072 2744320 2764800 2778624 2803200 2817216 2838240 2894400 2934600 2949120 2990080 3027456 3087360 3110400 3130240 3145728 3153600 3169368 3256200 3276800 3293184 3301425 3317760 3363840 3430400 3473280 3521520 3538944 3547800 3588096 3686400 3704832 3737600 3756288 3784320 3859200 3912800 3932160 3961710 3981312 4036608 4116480 4147200 4167936 4194304 4204800 4225824 4341600 4390912 4401900 4423680 4485120 4541184 4631040 4695360 4718592 4730400 4754052 4784128 4915200 4939776 4976640 5008384 5045760 5145600 5209920 5242880 5282280 5308416 5382144 5488640 5529600 5557248 5606400 5634432 5676480 5788800 5869200 5898240 5942565 5980160 6054912 6174720 6220800 6260480 6291456 6307200 6338736 6512400 6553600 6586368 6602850 6635520 6727680 6860800 6946560 7043040 7077888 7095600 7176192 7372800 7409664 7475200 7512576 7568640 7718400 7825600 7864320 7923420 7962624 8073216 8232960 8294400 8335872 8388608 8409600 8451648 8683200 8781824 8803800 8847360 8970240 9082368 9262080 9390720 9437184 9460800 9508104 9568256 9830400 9879552 9904275 9953280 10016768 10091520 10291200 10419840 10485760 10564560 10616832 10764288 10977280 11059200 11114496 11212800 11268864 11352960 11577600 11738400 11796480 11885130 11960320 12109824 12349440 12441600 12520960 12582912 12614400 12677472 13024800 13107200 13172736 13205700 13271040 13455360 13721600 13893120 14086080 14155776 14191200 14352384 14745600 14819328 14950400 15025152 15137280 15436800 15651200 15728640 15846840 15925248 16146432 16465920 16588800 16671744 16777216 16819200 16903296 17366400 17563648 17607600 17694720 17940480 18164736 18524160 18781440 18874368 18921600 19016208 19136512 19660800 19759104 19808550 19906560 20033536 20183040 20582400 20839680 20971520 21129120 21233664 21528576 21954560 22118400 22228992 22425600 22537728 22705920 23155200 23476800 23592960 23770260 23920640 24219648 24698880 24883200 25041920 25165824 25228800 25354944 26049600 26214400 26345472 26411400 26542080 26910720 27443200 27786240 28172160 28311552 28382400 28704768 29491200 29638656 29712825 29900800 30050304 30274560 30873600 31302400 31457280 31693680 31850496 32292864 32931840 33177600 33343488 33554432 33638400 33806592 34732800 35127296 35215200 35389440 35880960 36329472 37048320 37562880 37748736 37843200 38032416 38273024 39321600 39518208 39617100 39813120 40067072 40366080 41164800 41679360 41943040 42258240 42467328 43057152 43909120 44236800 44457984 44851200 45075456 45411840 46310400 46953600 47185920 47540520 47841280 48439296 49397760 49766400 50083840 50331648 50457600 50709888 52099200 52428800 52690944 52822800 53084160 53821440 54886400 55572480 56344320 56623104 56764800 57409536 58982400 59277312 59425650 59801600 60100608 60549120 61747200 62604800 62914560 63387360 63700992 64585728 65863680 66355200 66686976 67108864 67276800 67613184 69465600 70254592 70430400 70778880 71761920 72658944 74096640 75125760 75497472 75686400 76064832 76546048 78643200 79036416 79234200 79626240 80134144 80732160 82329600 83358720 83886080 84516480 84934656 86114304 87818240 88473600 88915968 89702400 90150912 90823680 92620800 93907200 94371840 95081040 95682560 96878592 98795520 99532800 100167680 100663296 100915200 101419776 104198400 104857600 105381888 105645600 106168320 107642880 109772800 111144960 112688640 113246208 113529600 114819072 117964800 118554624 118851300 119603200 120201216 121098240 123494400 125209600 125829120 126774720 127401984 129171456 131727360 132710400 133373952 134553600 135226368 138931200 140509184 140860800 141557760 143523840 145317888 148193280 150251520 150994944 151372800 152129664 153092096 157286400 158072832 158468400 159252480 160268288 161464320 164659200 166717440 167772160 169032960 169869312 172228608 175636480 176947200 177831936 179404800 180301824 181647360 185241600 187814400 188743680 190162080 191365120 193757184 197591040 199065600 200335360 201326592 201830400 202839552 208396800 209715200 210763776 211291200 212336640 215285760 219545600 222289920 225377280 226492416 227059200 229638144 235929600 237109248 237702600 239206400 240402432 242196480 246988800 250419200 251658240 253549440 254803968 258342912 263454720 265420800 266747904 269107200 270452736 277862400 281018368 281721600 283115520 287047680 290635776 296386560 300503040 301989888 302745600 304259328 306184192 314572800 316145664 316936800 318504960 320536576 322928640 329318400 333434880 335544320 338065920 339738624 344457216 351272960 353894400 355663872 358809600 360603648 363294720 370483200 375628800 377487360 380324160 382730240 387514368 395182080 398131200 400670720 403660800 405679104 416793600 419430400 421527552 422582400 424673280 430571520 439091200 444579840 450754560 452984832 454118400 459276288 471859200 474218496 475405200 478412800 480804864 484392960 493977600 500838400 503316480 507098880 509607936 516685824 526909440 530841600 533495808 538214400 540905472 555724800 562036736 563443200 566231040 574095360 581271552 592773120 601006080 603979776 605491200 608518656 612368384 629145600 632291328 633873600 637009920 641073152 645857280 658636800 666869760 676131840 679477248 688914432 702545920 707788800 711327744 717619200 721207296 726589440 740966400 751257600 754974720 760648320 765460480 775028736 790364160 796262400 801341440 807321600 811358208 833587200 838860800 843055104 845164800 849346560 861143040 878182400 889159680 901509120 905969664 908236800 918552576 943718400 948436992 950810400 956825600 961609728 968785920 987955200 1001676800 1006632960 1014197760 1019215872 1033371648 1053818880 1061683200 1066991616 1076428800 1081810944 1111449600 1124073472 1126886400 1132462080 1148190720 1162543104 1185546240 1202012160 1210982400 1217037312 1224736768 1258291200 1264582656 1267747200 1274019840 1282146304 1291714560 1317273600 1333739520 1352263680 1358954496 1377828864 1405091840 1415577600 1422655488 1435238400 1442414592 1453178880 1481932800 1502515200 1509949440 1521296640 1530920960 1550057472 1580728320 1592524800 1602682880 1614643200 1622716416 1667174400 1677721600 1686110208 1690329600 1698693120 1722286080 1756364800 1778319360 1803018240 1811939328 1816473600 1837105152 1887436800 1896873984 1901620800 1913651200 1923219456 1937571840 1975910400 2003353600 2028395520 2038431744 2066743296 2107637760 2123366400 2133983232 2152857600 2163621888 2222899200 2248146944 2253772800 2264924160 2296381440 2325086208 2371092480 2404024320 2421964800 2434074624 2449473536 2516582400 2529165312 2535494400 2548039680 2564292608 2583429120 2634547200 2667479040 2704527360 2717908992 2755657728 2810183680 2831155200 2845310976 2870476800 2884829184 2906357760 2963865600 3005030400 3019898880 3042593280 3061841920 3100114944 3161456640 3185049600 3205365760 3229286400 3245432832 3334348800 3372220416 3380659200 3397386240 3444572160 3512729600 3556638720 3606036480 3632947200 3674210304 3774873600 3793747968 3803241600 3827302400 3846438912 3875143680 3951820800 4006707200 4056791040 4076863488 4133486592 4215275520 4246732800 4267966464 4305715200 4327243776 4445798400 4496293888 4507545600 4529848320 4592762880 4650172416 4742184960 4808048640 4843929600 4868149248 4898947072 5033164800 5058330624 5070988800 5096079360 5128585216 5166858240 5269094400 5334958080 5409054720 5435817984 5511315456 5620367360 5662310400 5690621952 5740953600 5769658368 5812715520 5927731200 6010060800 6085186560 6123683840 6200229888 6322913280 6370099200 6410731520 6458572800 6490865664 6668697600 6744440832 6761318400 6794772480 6889144320 7025459200 7113277440 7212072960 7265894400 7348420608 7549747200 7587495936 7606483200 7654604800 7692877824 7750287360 7903641600 8013414400 8113582080 8153726976 8266973184 8430551040 8493465600 8535932928 8611430400 8654487552 8891596800 9015091200 9059696640 9185525760 9300344832 9484369920 9616097280 9687859200 9736298496 10116661248 10141977600 10192158720 10257170432 10333716480 10538188800 10669916160 10818109440 11022630912 11240734720 11324620800 11381243904 11481907200 11539316736 11625431040 11855462400 12020121600 12170373120 12247367680 12400459776 12645826560 12740198400 12821463040 12917145600 12981731328 13337395200 13488881664 13522636800 13589544960 13778288640 14050918400 14226554880 14424145920 14531788800 14696841216 15099494400 15174991872 15212966400 15309209600 15385755648 15500574720 15807283200 16026828800 16227164160 16307453952 16533946368 16861102080 16986931200 17071865856 17222860800 17308975104 17783193600 18030182400 18371051520 18600689664 18968739840 19232194560 19375718400 19472596992 20233322496 20283955200 20384317440 20514340864 20667432960 21076377600 21339832320 21636218880 22045261824 22481469440 22649241600 22762487808 22963814400 23078633472 23250862080 23710924800 24040243200 24340746240 24494735360 24800919552 25291653120 25480396800 25642926080 25834291200 25963462656 26674790400 27045273600 27179089920 27556577280 28101836800 28453109760 28848291840 29063577600 30349983744 30425932800 30618419200 30771511296 31001149440 31614566400 32053657600 32454328320 33067892736 33722204160 33973862400 34143731712 34445721600 34617950208 35566387200 36060364800 36742103040 37201379328 37937479680 38464389120 38751436800 38945193984 40466644992 40567910400 40768634880 41028681728 41334865920 42152755200 42679664640 43272437760 44090523648 45298483200 45524975616 45927628800 46157266944 46501724160 47421849600 48080486400 48681492480 49601839104 50583306240 50960793600 51285852160 51668582400 51926925312 53349580800 54090547200 55113154560 56203673600 56906219520 57696583680 58127155200 60699967488 60851865600 61236838400 61543022592 62002298880 63229132800 64107315200 64908656640 66135785472 67444408320 67947724800 68287463424 68891443200 69235900416 71132774400 72120729600 73484206080 74402758656 75874959360 76928778240 77502873600 77890387968 81135820800 81537269760 82057363456 82669731840 84305510400 85359329280 86544875520 91049951232 91855257600 92314533888 93003448320 94843699200 96160972800 97362984960 99203678208 101166612480 101921587200 102571704320 103337164800 103853850624 106699161600 108181094400 110226309120 112407347200 113812439040 115393167360 116254310400 121399934976 121703731200 122473676800 123086045184 124004597760 126458265600 128214630400 129817313280 132271570944 135895449600 136574926848 137782886400 138471800832 142265548800 144241459200 148805517312 151749918720 153857556480 155005747200 155780775936 162271641600 164114726912 165339463680 168611020800 170718658560 173089751040 182099902464 183710515200 184629067776 186006896640 189687398400 192321945600 194725969920 198407356416 202333224960 203843174400 205143408640 206674329600 207707701248 213398323200 216362188800 220452618240 227624878080 230786334720 232508620800 243407462400 246172090368 248009195520 252916531200 256429260800 259634626560 273149853696 275565772800 276943601664 284531097600 288482918400 297611034624 303499837440 307715112960 310011494400 311561551872 324543283200 328229453824 330678927360 337222041600 341437317120 346179502080 364199804928 367421030400 369258135552 372013793280 379374796800 384643891200 389451939840 396814712832 407686348800 410286817280 413348659200 415415402496 426796646400 432724377600 455249756160 461572669440 465017241600 486814924800 492344180736 496018391040 505833062400 512858521600 519269253120 546299707392 551131545600 553887203328 569062195200 576965836800 595222069248 606999674880 615430225920 620022988800 623123103744 649086566400 661357854720 682874634240 692359004160 738516271104 744027586560 758749593600 769287782400 778903879680 820573634560 826697318400 830830804992 853593292800 865448755200 910499512320 923145338880 930034483200 973629849600 984688361472 992036782080 1011666124800 1025717043200 1038538506240 1092599414784 1102263091200 1107774406656 1138124390400 1153931673600 1190444138496 1230860451840 1240045977600 1246246207488 1298173132800 1365749268480 1384718008320 1477032542208 1488055173120 1517499187200 1538575564800 1557807759360 1641147269120 1653394636800 1661661609984 1707186585600 1730897510400 1820999024640 1846290677760 1860068966400 1947259699200 1984073564160 2051434086400 2077077012480 2215548813312 2276248780800 2307863347200 2461720903680 2480091955200 2492492414976 2596346265600 2731498536960 2769436016640 2954065084416 2976110346240 3034998374400 3077151129600 3115615518720 3306789273600 3323323219968 3414373171200 3461795020800 3692581355520 3720137932800 3894519398400 4102868172800 4154154024960 4431097626624 4552497561600 4615726694400 4923441807360 4960183910400 4984984829952 5192692531200 5462997073920 5538872033280 5952220692480 6154302259200 6231231037440 6646646439936 6828746342400 6923590041600 7385162711040 7440275865600 7789038796800 8205736345600 8308308049920 8862195253248 9104995123200 9231453388800 9920367820800 9969969659904 10385385062400 11077744066560 12308604518400 12462462074880 13293292879872 13657492684800 13847180083200 14770325422080 14880551731200 15578077593600 16616616099840 18462906777600 19939939319808 20770770124800 22155488133120 24617209036800 24924924149760 26586585759744 27314985369600 27694360166400 29761103462400 31156155187200 33233232199680 36925813555200 39879878639616 41541540249600 44310976266240 49849848299520 55388720332800 62312310374400 66466464399360 73851627110400 79759757279232 83083080499200 99699696599040 110777440665600 124624620748800 132932928798720 166166160998400 199399393198080 221554881331200 249249241497600 332332321996800 398798786396160 498498482995200 664664643993600 996996965990400 1993993931980800
- Sum of all divisors σ(n): 7621028567946976
- Sum of proper divisors (its aliquot sum) s(n): 5627034635966176
- 1993993931980800 is an abundant number, because the sum of its proper divisors (5627034635966176) is greater than itself. Its abundance is 3633040703985376
Bases of 1993993931980800
- Binary: 1110001010110000110111001000000000000000000000000002
- Hexadecimal: 0x71586E4000000
- Base-36: JMT85ZPC00
Squares and roots of 1993993931980800
- 1993993931980800 squared (19939939319808002) is 3976011800776251257011568640000
- 1993993931980800 cubed (19939939319808003) is 7928143404231898469613536297826870362112000000
-
The
square root of 1993993931980800 is 44654159.1789701039 -
The
cube root of 1993993931980800 is 125865.8590059571
Scales and comparisons
How big is 1993993931980800?- 1,993,993,931,980,800 seconds is equal to 63,402,839 years, 10 weeks, 6 days.
-
To count from 1 to 1,993,993,931,980,800 would take you about one hundred ninety million, two hundred eight thousand, five hundred seventeen 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 1993993931980800 cubic inches would be around 10488.8 feet tall.
Recreational maths with 1993993931980800
- 1993993931980800 backwards is 0080891393993991
- 1993993931980800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1993993931980800's digits is 81
- 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 1993993931980800 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 1993993931980800 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/1993993931980800/
Chicago style:
Numbermatics. 2024. "Number 1993993931980800 - Facts about the integer". https://numbermatics.com/n/1993993931980800/
The information we have on file for 1993993931980800 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 1993993931980800, math, Factors of 1993993931980800, curriculum, school, college, exams, university, Prime factorization of 1993993931980800, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, nine hundred ninety-three trillion, nine hundred ninety-three billion, nine hundred thirty-one million, nine hundred eighty thousand, eight hundred.