213731426304000
213,731,426,304,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 213731426304000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2160 divisors.
213731426304000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 213731426304000:
217 × 34 × 53 × 115
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11)See below for interesting mathematical facts about the number 213731426304000 from the Numbermatics database.
Names of 213731426304000
- Cardinal: 213731426304000 can be written as Two hundred thirteen trillion, seven hundred thirty-one billion, four hundred twenty-six million, three hundred four thousand.
Scientific notation
- Scientific notation: 2.13731426304 × 1014
Factors of 213731426304000
Divisors of 213731426304000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 250 256 264 270 275 288 297 300 320 324 330 352 360 363 375 384 396 400 405 432 440 450 480 484 495 500 512 528 540 550 576 594 600 605 640 648 660 675 704 720 726 750 768 792 800 810 825 864 880 891 900 960 968 990 1000 1024 1056 1080 1089 1100 1125 1152 1188 1200 1210 1280 1296 1320 1331 1350 1375 1408 1440 1452 1485 1500 1536 1584 1600 1620 1650 1728 1760 1782 1800 1815 1920 1936 1980 2000 2025 2048 2112 2160 2178 2200 2250 2304 2376 2400 2420 2475 2560 2592 2640 2662 2700 2750 2816 2880 2904 2970 3000 3025 3072 3168 3200 3240 3267 3300 3375 3456 3520 3564 3600 3630 3840 3872 3960 3993 4000 4050 4096 4125 4224 4320 4356 4400 4455 4500 4608 4752 4800 4840 4950 5120 5184 5280 5324 5400 5445 5500 5632 5760 5808 5940 6000 6050 6144 6336 6400 6480 6534 6600 6655 6750 6912 7040 7128 7200 7260 7425 7680 7744 7920 7986 8000 8100 8192 8250 8448 8640 8712 8800 8910 9000 9075 9216 9504 9600 9680 9801 9900 10125 10240 10368 10560 10648 10800 10890 11000 11264 11520 11616 11880 11979 12000 12100 12288 12375 12672 12800 12960 13068 13200 13310 13500 13824 14080 14256 14400 14520 14641 14850 15125 15360 15488 15840 15972 16000 16200 16335 16384 16500 16896 17280 17424 17600 17820 18000 18150 18432 19008 19200 19360 19602 19800 19965 20250 20480 20736 21120 21296 21600 21780 22000 22275 22528 23040 23232 23760 23958 24000 24200 24576 24750 25344 25600 25920 26136 26400 26620 27000 27225 27648 28160 28512 28800 29040 29282 29700 30250 30720 30976 31680 31944 32000 32400 32670 32768 33000 33275 33792 34560 34848 35200 35640 35937 36000 36300 36864 37125 38016 38400 38720 39204 39600 39930 40500 40960 41472 42240 42592 43200 43560 43923 44000 44550 45056 45375 46080 46464 47520 47916 48000 48400 49005 49152 49500 50688 51200 51840 52272 52800 53240 54000 54450 55296 56320 57024 57600 58080 58564 59400 59895 60500 61440 61952 63360 63888 64000 64800 65340 65536 66000 66550 67584 69120 69696 70400 71280 71874 72000 72600 73205 73728 74250 76032 76800 77440 78408 79200 79860 81000 81675 81920 82944 84480 85184 86400 87120 87846 88000 89100 90112 90750 92160 92928 95040 95832 96000 96800 98010 98304 99000 99825 101376 102400 103680 104544 105600 106480 107811 108000 108900 110592 111375 112640 114048 115200 116160 117128 118800 119790 121000 122880 123904 126720 127776 128000 129600 130680 131072 131769 132000 133100 135168 136125 138240 139392 140800 142560 143748 144000 145200 146410 147456 148500 152064 153600 154880 156816 158400 159720 161051 162000 163350 163840 165888 166375 168960 170368 172800 174240 175692 176000 178200 179685 180224 181500 184320 185856 190080 191664 192000 193600 196020 196608 198000 199650 202752 204800 207360 209088 211200 212960 215622 216000 217800 219615 221184 222750 225280 228096 230400 232320 234256 237600 239580 242000 245025 245760 247808 253440 255552 256000 259200 261360 263538 264000 266200 270336 272250 276480 278784 281600 285120 287496 288000 290400 292820 294912 297000 299475 304128 307200 309760 313632 316800 319440 322102 324000 326700 327680 331776 332750 337920 340736 345600 348480 351384 352000 356400 359370 360448 363000 366025 368640 371712 380160 383328 384000 387200 392040 393216 395307 396000 399300 405504 408375 409600 414720 418176 422400 425920 431244 432000 435600 439230 442368 445500 450560 456192 460800 464640 468512 475200 479160 483153 484000 490050 491520 495616 499125 506880 511104 512000 518400 522720 527076 528000 532400 539055 540672 544500 552960 557568 563200 570240 574992 576000 580800 585640 589824 594000 598950 608256 614400 619520 627264 633600 638880 644204 648000 653400 655360 658845 663552 665500 675840 681472 691200 696960 702768 704000 712800 718740 720896 726000 732050 737280 743424 760320 766656 768000 774400 784080 790614 792000 798600 805255 811008 816750 819200 829440 836352 844800 851840 862488 864000 871200 878460 884736 891000 898425 901120 912384 921600 929280 937024 950400 958320 966306 968000 980100 983040 991232 998250 1013760 1022208 1024000 1036800 1045440 1054152 1056000 1064800 1078110 1081344 1089000 1098075 1105920 1115136 1126400 1140480 1149984 1152000 1161600 1171280 1179648 1185921 1188000 1197900 1216512 1225125 1228800 1239040 1254528 1267200 1277760 1288408 1296000 1306800 1317690 1327104 1331000 1351680 1362944 1382400 1393920 1405536 1408000 1425600 1437480 1441792 1449459 1452000 1464100 1474560 1486848 1497375 1520640 1533312 1536000 1548800 1568160 1581228 1584000 1597200 1610510 1622016 1633500 1638400 1658880 1672704 1689600 1703680 1724976 1728000 1742400 1756920 1769472 1782000 1796850 1802240 1824768 1830125 1843200 1858560 1874048 1900800 1916640 1932612 1936000 1960200 1966080 1976535 1982464 1996500 2027520 2044416 2048000 2073600 2090880 2108304 2112000 2129600 2156220 2162688 2178000 2196150 2211840 2230272 2252800 2280960 2299968 2304000 2323200 2342560 2371842 2376000 2395800 2415765 2433024 2450250 2457600 2478080 2509056 2534400 2555520 2576816 2592000 2613600 2635380 2654208 2662000 2695275 2703360 2725888 2764800 2787840 2811072 2816000 2851200 2874960 2898918 2904000 2928200 2949120 2973696 2994750 3041280 3066624 3072000 3097600 3136320 3162456 3168000 3194400 3221020 3244032 3267000 3276800 3294225 3317760 3345408 3379200 3407360 3449952 3456000 3484800 3513840 3538944 3564000 3593700 3604480 3649536 3660250 3686400 3717120 3748096 3801600 3833280 3865224 3872000 3920400 3953070 3964928 3993000 4026275 4055040 4088832 4096000 4147200 4181760 4216608 4224000 4259200 4312440 4325376 4348377 4356000 4392300 4423680 4460544 4492125 4505600 4561920 4599936 4608000 4646400 4685120 4743684 4752000 4791600 4831530 4866048 4900500 4915200 4956160 5018112 5068800 5111040 5153632 5184000 5227200 5270760 5308416 5324000 5390550 5406720 5451776 5490375 5529600 5575680 5622144 5632000 5702400 5749920 5797836 5808000 5856400 5898240 5929605 5947392 5989500 6082560 6133248 6144000 6195200 6272640 6324912 6336000 6388800 6442040 6488064 6534000 6588450 6635520 6690816 6758400 6814720 6899904 6912000 6969600 7027680 7128000 7187400 7208960 7247295 7299072 7320500 7372800 7434240 7496192 7603200 7666560 7730448 7744000 7840800 7906140 7929856 7986000 8052550 8110080 8177664 8192000 8294400 8363520 8433216 8448000 8518400 8624880 8696754 8712000 8784600 8847360 8921088 8984250 9011200 9123840 9199872 9216000 9292800 9370240 9487368 9504000 9583200 9663060 9732096 9801000 9830400 9882675 9912320 10036224 10137600 10222080 10307264 10368000 10454400 10541520 10616832 10648000 10781100 10813440 10903552 10980750 11059200 11151360 11244288 11264000 11404800 11499840 11595672 11616000 11712800 11859210 11894784 11979000 12078825 12165120 12266496 12288000 12390400 12545280 12649824 12672000 12777600 12884080 12976128 13045131 13068000 13176900 13271040 13381632 13476375 13516800 13629440 13799808 13824000 13939200 14055360 14256000 14374800 14494590 14598144 14641000 14745600 14868480 14992384 15206400 15333120 15460896 15488000 15681600 15812280 15859712 15972000 16105100 16220160 16355328 16384000 16471125 16588800 16727040 16866432 16896000 17036800 17249760 17393508 17424000 17569200 17694720 17842176 17968500 18022400 18247680 18399744 18432000 18585600 18740480 18974736 19008000 19166400 19326120 19464192 19602000 19765350 19824640 20072448 20131375 20275200 20444160 20614528 20736000 20908800 21083040 21296000 21562200 21626880 21741885 21807104 21961500 22118400 22302720 22488576 22528000 22809600 22999680 23191344 23232000 23425600 23718420 23789568 23958000 24157650 24330240 24532992 24576000 24780800 25090560 25299648 25344000 25555200 25768160 26090262 26136000 26353800 26542080 26763264 26952750 27033600 27258880 27599616 27648000 27878400 28110720 28512000 28749600 28989180 29196288 29282000 29491200 29648025 29736960 29984768 30412800 30666240 30921792 30976000 31363200 31624560 31944000 32210200 32440320 32710656 32942250 33177600 33454080 33732864 33792000 34073600 34499520 34787016 34848000 35138400 35684352 35937000 36044800 36236475 36495360 36799488 36864000 37171200 37480960 37949472 38016000 38332800 38652240 38928384 39204000 39530700 39649280 40144896 40262750 40550400 40888320 41229056 41472000 41817600 42166080 42592000 43124400 43483770 43614208 43923000 44236800 44605440 44977152 45056000 45619200 45999360 46382688 46464000 46851200 47436840 47579136 47916000 48315300 48660480 49065984 49152000 49413375 49561600 50181120 50599296 50688000 51110400 51536320 52180524 52272000 52707600 53084160 53526528 53905500 54067200 54517760 55199232 55296000 55756800 56221440 57024000 57499200 57978360 58392576 58564000 59296050 59473920 59969536 60394125 60825600 61332480 61843584 61952000 62726400 63249120 63888000 64420400 64880640 65225655 65421312 65884500 66355200 66908160 67465728 67584000 68147200 68999040 69574032 69696000 70276800 71368704 71874000 72472950 72990720 73598976 73728000 74342400 74961920 75898944 76032000 76665600 77304480 78408000 79061400 79298560 80289792 80525500 81100800 81776640 82458112 82944000 83635200 84332160 85184000 86248800 86967540 87228416 87846000 88473600 89210880 89954304 90112000 91238400 91998720 92765376 92928000 93702400 94873680 95832000 96630600 97320960 98131968 98826750 99123200 100362240 101198592 101376000 102220800 103072640 104361048 104544000 105415200 107053056 107811000 108134400 108709425 109035520 110398464 110592000 111513600 112442880 114048000 114998400 115956720 116785152 117128000 118592100 118947840 119939072 120788250 121651200 122664960 123687168 123904000 125452800 126498240 127776000 128840800 130451310 130842624 131769000 132710400 133816320 134931456 135168000 136294400 137998080 139148064 139392000 140553600 142737408 143748000 144945900 145981440 147197952 147456000 148240125 148684800 149923840 151797888 152064000 153331200 154608960 156816000 158122800 160579584 161051000 162201600 163553280 164916224 165888000 167270400 168664320 170368000 172497600 173935080 174456832 175692000 178421760 179908608 180224000 181182375 182476800 183997440 185530752 185856000 187404800 189747360 191664000 193261200 194641920 196263936 197653500 198246400 200724480 202397184 202752000 204441600 206145280 208722096 209088000 210830400 214106112 215622000 217418850 218071040 220796928 221184000 223027200 224885760 228096000 229996800 231913440 234256000 237184200 237895680 239878144 241576500 243302400 245329920 247374336 247808000 250905600 252996480 255552000 257681600 260902620 261685248 263538000 265420800 267632640 269862912 270336000 272588800 275996160 278296128 278784000 281107200 287496000 289891800 291962880 294395904 296480250 297369600 299847680 303595776 304128000 306662400 309217920 313632000 316245600 321159168 322102000 324403200 326128275 327106560 329832448 331776000 334540800 337328640 340736000 344995200 347870160 351384000 356843520 359817216 362364750 364953600 367994880 371061504 371712000 374809600 379494720 383328000 386522400 392527872 395307000 396492800 401448960 404794368 405504000 408883200 412290560 417444192 418176000 421660800 428212224 431244000 434837700 436142080 441593856 442368000 446054400 449771520 456192000 459993600 463826880 468512000 474368400 479756288 483153000 486604800 490659840 494748672 495616000 501811200 505992960 511104000 515363200 521805240 523370496 527076000 535265280 539725824 540672000 543547125 545177600 551992320 556592256 557568000 562214400 574992000 579783600 583925760 588791808 592960500 594739200 599695360 607191552 608256000 613324800 618435840 627264000 632491200 642318336 644204000 652256550 654213120 659664896 663552000 669081600 674657280 681472000 689990400 695740320 702768000 713687040 719634432 724729500 729907200 735989760 742123008 743424000 749619200 758989440 766656000 773044800 785055744 790614000 802897920 809588736 811008000 817766400 824581120 834888384 836352000 843321600 862488000 869675400 872284160 883187712 892108800 899543040 912384000 919987200 927653760 937024000 948736800 959512576 966306000 973209600 981319680 989497344 991232000 1003622400 1011985920 1022208000 1030726400 1043610480 1054152000 1070530560 1079451648 1087094250 1090355200 1103984640 1113184512 1115136000 1124428800 1149984000 1159567200 1177583616 1185921000 1189478400 1199390720 1214383104 1216512000 1226649600 1236871680 1254528000 1264982400 1284636672 1288408000 1304513100 1308426240 1319329792 1327104000 1338163200 1349314560 1362944000 1379980800 1391480640 1405536000 1439268864 1449459000 1459814400 1471979520 1484246016 1486848000 1499238400 1517978880 1533312000 1546089600 1570111488 1581228000 1605795840 1619177472 1622016000 1630641375 1635532800 1649162240 1669776768 1672704000 1686643200 1724976000 1739350800 1766375424 1784217600 1799086080 1824768000 1839974400 1855307520 1874048000 1897473600 1919025152 1932612000 1962639360 1978994688 1982464000 2007244800 2023971840 2044416000 2061452800 2087220960 2108304000 2141061120 2158903296 2174188500 2180710400 2207969280 2226369024 2230272000 2248857600 2299968000 2319134400 2355167232 2371842000 2398781440 2428766208 2433024000 2453299200 2473743360 2509056000 2529964800 2576816000 2609026200 2616852480 2638659584 2676326400 2698629120 2725888000 2759961600 2782961280 2811072000 2878537728 2898918000 2919628800 2943959040 2968492032 2973696000 2998476800 3035957760 3066624000 3092179200 3162456000 3211591680 3238354944 3261282750 3271065600 3298324480 3339553536 3345408000 3373286400 3449952000 3478701600 3532750848 3568435200 3598172160 3649536000 3679948800 3710615040 3748096000 3794947200 3865224000 3925278720 3957989376 4014489600 4047943680 4088832000 4122905600 4174441920 4216608000 4317806592 4348377000 4361420800 4415938560 4452738048 4460544000 4497715200 4599936000 4638268800 4710334464 4743684000 4797562880 4857532416 4866048000 4906598400 4947486720 5018112000 5059929600 5153632000 5218052400 5277319168 5352652800 5397258240 5451776000 5519923200 5565922560 5622144000 5757075456 5797836000 5887918080 5936984064 5947392000 5996953600 6071915520 6133248000 6184358400 6324912000 6423183360 6476709888 6522565500 6542131200 6596648960 6679107072 6690816000 6746572800 6899904000 6957403200 7065501696 7196344320 7299072000 7359897600 7421230080 7496192000 7589894400 7730448000 7850557440 7915978752 8028979200 8095887360 8177664000 8245811200 8348883840 8433216000 8635613184 8696754000 8831877120 8905476096 8921088000 8995430400 9199872000 9276537600 9487368000 9595125760 9715064832 9813196800 9894973440 10036224000 10119859200 10307264000 10436104800 10554638336 10705305600 10794516480 10903552000 11039846400 11131845120 11244288000 11595672000 11775836160 11873968128 11993907200 12143831040 12266496000 12368716800 12649824000 12953419776 13045131000 13084262400 13193297920 13358214144 13381632000 13493145600 13799808000 13914806400 14131003392 14392688640 14598144000 14719795200 14842460160 14992384000 15179788800 15460896000 15831957504 16057958400 16191774720 16355328000 16491622400 16697767680 16866432000 17271226368 17393508000 17663754240 17810952192 17842176000 17990860800 18399744000 18553075200 18974736000 19430129664 19626393600 19789946880 20072448000 20239718400 20614528000 20872209600 21109276672 21589032960 21807104000 22079692800 22263690240 22488576000 23191344000 23551672320 23747936256 23987814400 24287662080 24532992000 24737433600 25299648000 25906839552 26090262000 26386595840 26716428288 26763264000 26986291200 27599616000 27829612800 28785377280 29439590400 29684920320 29984768000 30359577600 30921792000 31663915008 32115916800 32383549440 32710656000 32983244800 33395535360 33732864000 34787016000 35327508480 35621904384 35981721600 36799488000 37106150400 37949472000 38860259328 39252787200 39579893760 40144896000 40479436800 41229056000 41744419200 43178065920 44159385600 44527380480 44977152000 46382688000 47495872512 47975628800 48575324160 49065984000 49474867200 50599296000 51813679104 52180524000 52773191680 53432856576 53526528000 53972582400 55199232000 55659225600 58879180800 59369840640 59969536000 60719155200 61843584000 63327830016 64767098880 65421312000 65966489600 66791070720 67465728000 69574032000 70655016960 71243808768 71963443200 73598976000 74212300800 75898944000 77720518656 79159787520 80289792000 80958873600 82458112000 83488838400 86356131840 88318771200 89054760960 89954304000 92765376000 94991745024 97150648320 98131968000 98949734400 101198592000 104361048000 105546383360 106865713152 107945164800 110398464000 111318451200 117758361600 118739681280 119939072000 121438310400 123687168000 129534197760 131932979200 133582141440 134931456000 139148064000 142487617536 143926886400 147197952000 148424601600 151797888000 155441037312 158319575040 160579584000 161917747200 164916224000 166977676800 176637542400 178109521920 179908608000 185530752000 189983490048 194301296640 196263936000 197899468800 202397184000 208722096000 213731426304 215890329600 220796928000 222636902400 237479362560 239878144000 242876620800 247374336000 259068395520 263865958400 267164282880 269862912000 278296128000 284975235072 294395904000 296849203200 303595776000 316639150080 323835494400 329832448000 333955353600 353275084800 356219043840 359817216000 371061504000 388602593280 395798937600 404794368000 417444192000 427462852608 431780659200 441593856000 445273804800 474958725120 485753241600 494748672000 527731916800 534328565760 539725824000 556592256000 569950470144 588791808000 593698406400 607191552000 647670988800 659664896000 667910707200 712438087680 719634432000 742123008000 777205186560 791597875200 809588736000 834888384000 854925705216 883187712000 890547609600 949917450240 971506483200 989497344000 1068657131520 1079451648000 1113184512000 1187396812800 1214383104000 1295341977600 1319329792000 1335821414400 1424876175360 1484246016000 1583195750400 1619177472000 1669776768000 1709851410432 1766375424000 1781095219200 1943012966400 1978994688000 2137314263040 2158903296000 2226369024000 2374793625600 2428766208000 2638659584000 2671642828800 2849752350720 2968492032000 3238354944000 3339553536000 3562190438400 3886025932800 3957989376000 4274628526080 4452738048000 4749587251200 4857532416000 5343285657600 5936984064000 6476709888000 6679107072000 7124380876800 7915978752000 8549257052160 8905476096000 9715064832000 10686571315200 11873968128000 13358214144000 14248761753600 17810952192000 19430129664000 21373142630400 23747936256000 26716428288000 35621904384000 42746285260800 53432856576000 71243808768000 106865713152000 213731426304000
- Sum of all divisors σ(n): 876605315393808
- Sum of proper divisors (its aliquot sum) s(n): 662873889089808
- 213731426304000 is an abundant number, because the sum of its proper divisors (662873889089808) is greater than itself. Its abundance is 449142462785808
Bases of 213731426304000
- Binary: 1100001001100011001110011011111000000000000000002
- Hexadecimal: 0xC26339BE0000
- Base-36: 23REV0U800
Squares and roots of 213731426304000
- 213731426304000 squared (2137314263040002) is 45681122589942183100416000000
- 213731426304000 cubed (2137314263040003) is 9763491486316217318947436535742464000000000
-
The
square root of 213731426304000 is 14619556.2964133765 -
The
cube root of 213731426304000 is 59789.2071870823
Scales and comparisons
How big is 213731426304000?- 213,731,426,304,000 seconds is equal to 6,795,998 years, 12 weeks, 4 days.
-
To count from 1 to 213,731,426,304,000 would take you about sixteen million, nine hundred eighty-nine thousand, nine hundred ninety-five 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 213731426304000 cubic inches would be around 4982.4 feet tall.
Recreational maths with 213731426304000
- 213731426304000 backwards is 000403624137312
- 213731426304000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213731426304000'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 213731426304000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 213731426304000 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/213731426304000/
Chicago style:
Numbermatics. 2024. "Number 213731426304000 - Facts about the integer". https://numbermatics.com/n/213731426304000/
The information we have on file for 213731426304000 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 213731426304000, math, Factors of 213731426304000, curriculum, school, college, exams, university, Prime factorization of 213731426304000, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen trillion, seven hundred thirty-one billion, four hundred twenty-six million, three hundred four thousand.