199404309323980800

Names of 199404309323980800

• Cardinal: 199404309323980800 can be written as One hundred ninety-nine quadrillion, four hundred four trillion, three hundred nine billion, three hundred twenty-three million, nine hundred eighty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.994043093239808 × 10¹⁷

Factors of 199404309323980800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 25324

Divisors of 199404309323980800

• Number of divisors d(n): 1134
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 338 360 384 390 400 416 450 468 480 507 512 520 576 585 600 624 640 650 676 720 768 780 800 832 845 900 936 960 975 1014 1024 1040 1152 1170 1200 1248 1280 1300 1352 1440 1521 1536 1560 1600 1664 1690 1800 1872 1920 1950 2028 2048 2080 2304 2340 2400 2496 2535 2560 2600 2704 2880 2925 3042 3072 3120 3200 3328 3380 3600 3744 3840 3900 4056 4096 4160 4225 4608 4680 4800 4992 5070 5120 5200 5408 5760 5850 6084 6144 6240 6400 6656 6760 7200 7488 7605 7680 7800 8112 8192 8320 8450 9216 9360 9600 9984 10140 10240 10400 10816 11520 11700 12168 12288 12480 12675 12800 13312 13520 14400 14976 15210 15360 15600 16224 16640 16900 18432 18720 19200 19968 20280 20480 20800 21632 23040 23400 24336 24576 24960 25301 25350 25600 26624 27040 28800 29952 30420 30720 31200 32448 33280 33800 36864 37440 38025 38400 39936 40560 40960 41600 43264 46080 46800 48672 49920 50602 50700 51200 53248 54080 57600 59904 60840 61440 62400 64896 66560 67600 73728 74880 75903 76050 76800 79872 81120 83200 86528 92160 93600 97344 99840 101204 101400 102400 106496 108160 115200 119808 121680 122880 124800 126505 129792 133120 135200 149760 151806 152100 153600 159744 162240 166400 173056 184320 187200 194688 199680 202408 202800 204800 216320 227709 230400 239616 243360 249600 253010 259584 266240 270400 299520 303612 304200 307200 319488 324480 328913 332800 346112 368640 374400 379515 389376 399360 404816 405600 432640 455418 460800 479232 486720 499200 506020 519168 532480 540800 599040 607224 608400 614400 632525 648960 657826 665600 692224 748800 759030 778752 798720 809632 811200 865280 910836 921600 958464 973440 986739 998400 1012040 1038336 1081600 1138545 1198080 1214448 1216800 1265050 1297920 1315652 1331200 1384448 1497600 1518060 1557504 1597440 1619264 1622400 1644565 1730560 1821672 1843200 1897575 1946880 1973478 1996800 2024080 2076672 2163200 2277090 2396160 2428896 2433600 2530100 2595840 2631304 2662400 2960217 2995200 3036120 3115008 3238528 3244800 3289130 3461120 3643344 3795150 3893760 3946956 3993600 4048160 4153344 4275869 4326400 4554180 4792320 4857792 4867200 4933695 5060200 5191680 5262608 5692725 5920434 5990400 6072240 6230016 6477056 6489600 6578260 6922240 7286688 7590300 7787520 7893912 7987200 8096320 8222825 8551738 8652800 9108360 9715584 9734400 9867390 10120400 10383360 10525216 11385450 11840868 11980800 12144480 12460032 12827607 12954112 12979200 13156520 14573376 14801085 15180600 15575040 15787824 16192640 16445650 17103476 17305600 18216720 19431168 19468800 19734780 20240800 20766720 21050432 21379345 22770900 23681736 23961600 24288960 24668475 25655214 25908224 25958400 26313040 29146752 29602170 30361200 31150080 31575648 32385280 32891300 34206952 34611200 36433440 38482821 38862336 38937600 39469560 40481600 42100864 42758690 45541800 47363472 48577920 49336950 51310428 51816448 51916800 52626080 58293504 59204340 60722400 62300160 63151296 64138035 64770560 65782600 68413904 72866880 74005425 76965642 77724672 77875200 78939120 80963200 84201728 85517380 91083600 94726944 97155840 98673900 102620856 103632896 103833600 105252160 106896725 116587008 118408680 121444800 126302592 128276070 129541120 131565200 136827808 145733760 148010850 153931284 155449344 155750400 157878240 161926400 168403456 171034760 182167200 189453888 192414105 194311680 197347800 205241712 207265792 210504320 213793450 233174016 236817360 242889600 252605184 256552140 259082240 263130400 273655616 291467520 296021700 307862568 310898688 311500800 315756480 320690175 323852800 336806912 342069520 364334400 378907776 384828210 388623360 394695600 410483424 421008640 427586900 466348032 473634720 485779200 505210368 513104280 518164480 526260800 547311232 582935040 592043400 615725136 621797376 631512960 640140601 641380350 647705600 673613824 684139040 728668800 757815552 769656420 777246720 789391200 820966848 842017280 855173800 932696064 947269440 962070525 971558400 1010420736 1026208560 1036328960 1052521600 1094622464 1165870080 1184086800 1231450272 1263025920 1280281202 1282760700 1295411200 1347227648 1368278080 1457337600 1515631104 1539312840 1554493440 1578782400 1641933696 1684034560 1710347600 1865392128 1894538880 1920421803 1924141050 1943116800 2020841472 2052417120 2105043200 2189244928 2331740160 2368173600 2462900544 2526051840 2560562404 2565521400 2590822400 2694455296 2736556160 2914675200 3031262208 3078625680 3108986880 3157564800 3200703005 3283867392 3368069120 3420695200 3789077760 3840843606 3848282100 3886233600 4041682944 4104834240 4210086400 4378489856 4663480320 4736347200 4925801088 5052103680 5121124808 5131042800 5181644800 5473112320 5761265409 5829350400 6062524416 6157251360 6315129600 6401406010 6567734784 6736138240 6841390400 7578155520 7681687212 7696564200 7772467200 8083365888 8209668480 8321827813 8420172800 8756979712 9326960640 9472694400 9602109015 9851602176 10104207360 10242249616 10262085600 10946224640 11522530818 11658700800 12125048832 12314502720 12630259200 12802812020 13135469568 13472276480 13682780800 15156311040 15363374424 15393128400 15544934400 16003515025 16419336960 16643655626 16840345600 17513959424 18945388800 19204218030 19703204352 20208414720 20484499232 20524171200 21892449280 23045061636 23317401600 24250097664 24629005440 24965483439 25260518400 25605624040 26270939136 27365561600 28806327045 30312622080 30726748848 30786256800 32007030050 32838673920 33287311252 33680691200 35027918848 37890777600 38408436060 39406408704 40416829440 40968998464 41048342400 41609139065 43784898560 46090123272 46634803200 48010545075 49258010880 49930966878 50521036800 51211248080 52541878272 54731123200 57612654090 60625244160 61453497696 61572513600 64014060100 65677347840 66574622504 67361382400 74896450317 75781555200 76816872120 78812817408 81937996928 82096684800 83218278130 87569797120 92180246544 96021090150 98516021760 99861933756 101042073600 102422496160 105083756544 108183761569 109462246400 115225308180 121250488320 122906995392 123145027200 124827417195 128028120200 131354695680 133149245008 144031635225 149792900634 151563110400 153633744240 157625634816 163875993856 164193369600 166436556260 175139594240 184360493088 192042180300 197032043520 199723867512 202084147200 204844992320 208045695325 216367523138 218924492800 230450616360 245813990784 246290054400 249654834390 256056240400 262709391360 266298490016 288063270450 299585801268 303126220800 307267488480 315251269632 324551284707 327751987712 328386739200 332873112520 368720986176 374482251585 384084360600 394064087040 399447735024 409689984640 416091390650 432735046276 437848985600 460901232720 491627981568 492580108800 499309668780 512112480800 525418782720 532596980032 540918807845 576126540900 599171602536 606252441600 614534976960 624137085975 649102569414 655503975424 656773478400 665746225040 737441972352 748964503170 768168721200 788128174080 798895470048 819379969280 832182781300 865470092552 875697971200 921802465440 973653854121 983255963136 985160217600 998619337560 1024224961600 1065193960064 1081837615690 1152253081800 1198343205072 1229069953920 1248274171950 1298205138828 1311007950848 1313546956800 1331492450080 1474883944704 1497929006340 1536337442400 1576256348160 1597790940096 1622756423535 1638759938560 1664365562600 1730940185104 1843604930880 1872411257925 1947307708242 1966511926272 1970320435200 1997238675120 2048449923200 2130387920128 2163675231380 2304506163600 2396686410144 2458139907840 2496548343900 2596410277656 2622015901696 2627093913600 2662984900160 2704594039225 2949767889408 2995858012680 3072674884800 3195581880192 3245512847070 3277519877120 3328731125200 3461880370208 3687209861760 3744822515850 3894615416484 3933023852544 3940640870400 3994477350240 4096899846400 4260775840256 4327350462760 4609012327200 4793372820288 4868269270605 4916279815680 4993096687800 5192820555312 5244031803392 5325969800320 5409188078450 5899535778816 5991716025360 6145349769600 6391163760384 6491025694140 6555039754240 6657462250400 6923760740416 7374419723520 7489645031700 7789230832968 7866047705088 7881281740800 7988954700480 8113782117675 8193799692800 8521551680512 8654700925520 9218024654400 9586745640576 9736538541210 9832559631360 9986193375600 10385641110624 10651939600640 10818376156900 11799071557632 11983432050720 12290699539200 12782327520768 12982051388280 13110079508480 13314924500800 13847521480832 14748839447040 14979290063400 15578461665936 15732095410176 15977909400960 16227564235350 16387599385600 17043103361024 17309401851040 18436049308800 19173491281152 19473077082420 19665119262720 19972386751200 20771282221248 21303879201280 21636752313800 23598143115264 23966864101440 24341346353025 24581399078400 25564655041536 25964102776560 26220159016960 26629849001600 27695042961664 29497678894080 29958580126800 31156923331872 31955818801920 32455128470700 32775198771200 34086206722048 34618803702080 36872098617600 38346982562304 38946154164840 39330238525440 39944773502400 41542564442496 42607758402560 43273504627600 47196286230528 47933728202880 48682692706050 49162798156800 51129310083072 51928205553120 53259698003200 55390085923328 58995357788160 59917160253600 62313846663744 63911637603840 64910256941400 65550397542400 68172413444096 69237607404160 73744197235200 76693965124608 77892308329680 78660477050880 79889547004800 83085128884992 85215516805120 86547009255200 95867456405760 97365385412100 98325596313600 102258620166144 103856411106240 106519396006400 110780171846656 117990715576320 119834320507200 124627693327488 127823275207680 129820513882800 131100795084800 138475214808320 147488394470400 153387930249216 155784616659360 159779094009600 166170257769984 170431033610240 173094018510400 191734912811520 194730770824200 196651192627200 204517240332288 207712822212480 213038792012800 221560343693312 235981431152640 239668641014400 249255386654976 255646550415360 259641027765600 276950429616640 294976788940800 306775860498432 311569233318720 319558188019200 332340515539968 340862067220480 346188037020800 383469825623040 389461541648400 393302385254400 415425644424960 426077584025600 443120687386624 479337282028800 498510773309952 511293100830720 519282055531200 553900859233280 589953577881600 613551720996864 623138466637440 639116376038400 664681031079936 692376074041600 766939651246080 778923083296800 830851288849920 852155168051200 886241374773248 958674564057600 997021546619904 1022586201661440 1038564111062400 1107801718466560 1179907155763200 1246276933274880 1278232752076800 1329362062159872 1384752148083200 1533879302492160 1557846166593600 1661702577699840 1704310336102400 1917349128115200 1994043093239808 2077128222124800 2215603436933120 2492553866549760 2556465504153600 2658724124319744 2769504296166400 3067758604984320 3115692333187200 3323405155399680 3834698256230400 3988086186479616 4154256444249600 4431206873866240 4985107733099520 5112931008307200 5539008592332800 6231384666374400 6646810310799360 7669396512460800 7976172372959232 8308512888499200 9970215466199040 11078017184665600 12462769332748800 13293620621598720 15338793024921600 16617025776998400 19940430932398080 22156034369331200 24925538665497600 33234051553996800 39880861864796160 49851077330995200 66468103107993600 99702154661990400 199404309323980800
• Sum of all divisors σ(n): 773467563839624901
• Sum of proper divisors (its aliquot sum) s(n): 574063254515644101
• 199404309323980800 is an abundant number, because the sum of its proper divisors (574063254515644101) is greater than itself. Its abundance is 374658945191663301

Bases of 199404309323980800

• Binary: 1011000100011011010010100110101111111100000010000000000000₂
• Hexadecimal: 0x2C46D29AFF02000
• Base-36: 1IJEXF2WSU80

Squares and roots of 199404309323980800

• 199404309323980800 squared (199404309323980800²) is 39762078576973816211497958768640000
• 199404309323980800 cubed (199404309323980800³) is 7928729815927317159777586878425227949991002112000000
• The square root of 199404309323980800 is 446547096.4231889393
• The cube root of 199404309323980800 is 584222.3668857759

Scales and comparisons

• 199,404,309,323,980,800 seconds is equal to 6,340,440,238 years, 24 weeks, 5 days, 8 hours.
• To count from 1 to 199,404,309,323,980,800 would take you about nineteen billion, twenty-one million, three hundred twenty thousand, seven hundred fifteen 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 199404309323980800 cubic inches would be around 48685.2 feet tall.

Recreational maths with 199404309323980800

• 199404309323980800 backwards is 008089323903404991
• 199404309323980800 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 199404309323980800's digits is 72
• More coming soon!