12983033300684544000

Names of 12983033300684544000

• Cardinal: 12983033300684544000 can be written as Twelve quintillion, nine hundred eighty-three quadrillion, thirty-three trillion, three hundred billion, six hundred eighty-four million, five hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.2983033300684544 × 10¹⁹

Factors of 12983033300684544000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 616318451

Divisors of 12983033300684544000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 125 128 144 150 160 164 180 192 200 205 223 225 240 246 250 256 288 300 320 328 360 369 375 384 400 410 446 450 480 492 500 512 576 600 615 640 656 669 720 738 750 768 800 820 892 900 960 984 1000 1024 1025 1115 1125 1152 1200 1230 1280 1312 1338 1440 1476 1500 1536 1600 1640 1784 1800 1845 1920 1968 2000 2007 2048 2050 2230 2250 2304 2400 2460 2560 2624 2676 2880 2952 3000 3072 3075 3200 3280 3345 3568 3600 3690 3840 3936 4000 4014 4100 4460 4500 4608 4800 4920 5120 5125 5248 5352 5575 5760 5904 6000 6144 6150 6400 6560 6690 7136 7200 7380 7680 7872 8000 8028 8200 8920 9000 9143 9216 9225 9600 9840 10035 10240 10250 10496 10704 11150 11520 11808 12000 12300 12800 13120 13380 14272 14400 14760 15360 15375 15744 16000 16056 16400 16725 17840 18000 18286 18432 18450 19200 19680 20070 20500 20992 21408 22300 23040 23616 24000 24600 25600 26240 26760 27429 27875 28544 28800 29520 30720 30750 31488 32000 32112 32800 33450 35680 36000 36572 36900 38400 39360 40140 41000 41984 42816 44600 45715 46080 46125 47232 48000 49200 50175 51200 52480 53520 54858 55750 57088 57600 59040 61500 62976 64000 64224 65600 66900 71360 72000 73144 73800 76800 78720 80280 82000 82287 83625 83968 85632 89200 91430 92160 92250 94464 96000 98400 100350 104960 107040 109716 111500 114176 115200 118080 123000 125952 128000 128448 131200 133800 137145 142720 144000 146288 147600 153600 157440 160560 164000 164574 167250 171264 178400 182860 184500 188928 192000 196800 200700 209920 214080 219432 223000 228352 228575 230400 236160 246000 250875 251904 256000 256896 262400 267600 274290 285440 288000 292576 295200 314880 321120 328000 329148 334500 342528 356800 365720 369000 377856 384000 393600 401400 411435 419840 428160 438864 446000 456704 457150 460800 472320 492000 501750 513792 524800 535200 548580 570880 576000 585152 590400 629760 642240 656000 658296 669000 685056 685725 713600 731440 738000 755712 768000 787200 802800 822870 856320 877728 892000 914300 944640 984000 1003500 1027584 1049600 1070400 1097160 1141760 1142875 1152000 1170304 1180800 1259520 1284480 1312000 1316592 1338000 1370112 1371450 1427200 1462880 1476000 1574400 1605600 1645740 1712640 1755456 1784000 1828600 1889280 1968000 2007000 2055168 2057175 2099200 2140800 2194320 2283520 2285750 2304000 2340608 2361600 2568960 2624000 2633184 2676000 2742900 2854400 2925760 2952000 3148800 3211200 3291480 3425280 3428625 3510912 3568000 3657200 3778560 3936000 4014000 4110336 4114350 4281600 4388640 4571500 4681216 4723200 5137920 5248000 5266368 5352000 5485800 5708800 5851520 5904000 6297600 6422400 6582960 6850560 6857250 7021824 7136000 7314400 7872000 8028000 8228700 8563200 8777280 9143000 9362432 9446400 10275840 10285875 10496000 10532736 10704000 10971600 11417600 11703040 11808000 12844800 13165920 13714500 14043648 14272000 14628800 15744000 16056000 16457400 17126400 17554560 18286000 18724864 18892800 20551680 20571750 21065472 21408000 21943200 23406080 23616000 25689600 26331840 27429000 28087296 28544000 29257600 31488000 32112000 32914800 34252800 35109120 36572000 41143500 42130944 42816000 43886400 46812160 47232000 51379200 52663680 54858000 56174592 57088000 58515200 64224000 65829600 70218240 73144000 82287000 84261888 85632000 87772800 93624320 94464000 102758400 105327360 109716000 117030400 128448000 131659200 140436480 146288000 164574000 168523776 171264000 175545600 210654720 219432000 234060800 256896000 263318400 280872960 292576000 329148000 351091200 421309440 438864000 468121600 513792000 526636800 585152000 616318177 658296000 702182400 842618880 877728000 1053273600 1170304000 1232636354 1316592000 1404364800 1755456000 1848954531 2106547200 2340608000 2465272708 2633184000 3081590885 3510912000 3697909062 4213094400 4930545416 5266368000 5546863593 6163181770 7021824000 7395818124 9244772655 9861090832 10532736000 11093727186 12326363540 14791636248 15407954425 18489545310 19722181664 21065472000 22187454372 24652727080 25269045257 27734317965 29583272496 30815908850 36979090620 39444363328 44374908744 46223863275 49305454160 50538090514 55468635930 59166544992 61631817700 73958181240 75807135771 77039772125 78888726656 88749817488 92447726550 98610908320 101076181028 110937271860 118333089984 123263635400 126345226285 137438953471 138671589825 147916362480 151614271542 154079544250 157777453312 177499634976 184895453100 197221816640 202152362056 221874543720 227421407313 231119316375 236666179968 246527270800 252690452570 274877906942 277343179650 295832724960 303228543084 308159088500 315554906624 354999269952 369790906200 379035678855 394443633280 404304724112 412316860413 443749087440 454842814626 462238632750 473332359936 493054541600 505380905140 549755813884 554686359300 591665449920 606457086168 616318177000 631109813248 631726131425 687194767355 693357949125 709998539904 739581812400 758071357710 788887266560 808609448224 824633720826 887498174880 909685629252 924477265500 946664719872 986109083200 1010761810280 1099511627768 1109372718600 1137107036565 1183330899840 1212914172336 1232636354000 1236950581239 1262219626496 1263452262850 1374389534710 1386715898250 1419997079808 1479163624800 1516142715420 1577774533120 1617218896448 1649267441652 1774996349760 1819371258504 1848954531000 1893329439744 1895178394275 1972218166400 2021523620560 2061584302065 2199023255536 2218745437200 2274214073130 2366661799680 2425828344672 2465272708000 2473901162478 2526904525700 2748779069420 2773431796500 2839994159616 2958327249600 3032285430840 3155549066240 3158630657125 3234437792896 3298534883304 3435973836775 3549992699520 3638742517008 3697909062000 3786658879488 3790356788550 3944436332800 4043047241120 4123168604130 4398046511072 4437490874400 4548428146260 4733323599360 4851656689344 4930545416000 4947802324956 5053809051400 5497558138840 5546863593000 5634997092311 5679988319232 5685535182825 5916654499200 6064570861680 6184752906195 6311098132480 6317261314250 6468875585792 6597069766608 6871947673550 7099985399040 7277485034016 7395818124000 7580713577100 7888872665600 8086094482240 8246337208260 8796093022144 8874981748800 9096856292520 9466647198720 9475891971375 9703313378688 9861090832000 9895604649912 10107618102800 10307921510325 10995116277680 11093727186000 11269994184622 11359976638464 11371070365650 11833308998400 12129141723360 12369505812390 12634522628500 12937751171584 13194139533216 13743895347100 14199970798080 14554970068032 14791636248000 15161427154200 15777745331200 16172188964480 16492674416520 16904991276933 17179869183875 17592186044288 17749963497600 18193712585040 18933294397440 18951783942750 19406626757376 19722181664000 19791209299824 20215236205600 20615843020650 21990232555360 22187454372000 22539988369244 22742140731300 23666617996800 24258283446720 24739011624780 25269045257000 25875502343168 26388279066432 27487790694200 28174985461555 28399941596160 28427675914125 29109940136064 29583272496000 30322854308400 30923764530975 31555490662400 32344377928960 32985348833040 33809982553866 34359738367750 35184372088576 35499926995200 36387425170080 37903567885500 38813253514752 39444363328000 39582418599648 40430472411200 41231686041300 43980465110720 44374908744000 45079976738488 45484281462600 47333235993600 48516566893440 49478023249560 50538090514000 50714973830799 51539607551625 51751004686336 52776558132864 54975581388400 56349970923110 56799883192320 56855351828250 58219880272128 59166544992000 60645708616800 61847529061950 64688755857920 65970697666080 67619965107732 68719476735500 70368744177152 70999853990400 72774850340160 75807135771000 77626507029504 78888726656000 79164837199296 80860944822400 82463372082600 84524956384665 87960930221440 88749817488000 90159953476976 90968562925200 94666471987200 97033133786880 98956046499120 101076181028000 101429947661598 103079215103250 105553116265728 109951162776800 112699941846220 113710703656500 116439760544256 118333089984000 121291417233600 123695058123900 129377511715840 131941395332160 135239930215464 137438953471000 140737488354304 140874927307775 141999707980800 145549700680320 151614271542000 154618822654875 155253014059008 157777453312000 158329674398592 161721889644800 164926744165200 169049912769330 175921860442880 177499634976000 180319906953952 181937125850400 194066267573760 197912092998240 202152362056000 202859895323196 206158430206500 211106232531456 219902325553600 225399883692440 227421407313000 232879521088512 236666179968000 242582834467200 247390116247800 253574869153995 258755023431680 263882790664320 270479860430928 274877906942000 281474976708608 281749854615550 283999415961600 291099401360640 303228543084000 309237645309750 316659348797184 323443779289600 329853488330400 338099825538660 351843720885760 354999269952000 360639813907904 363874251700800 388132535147520 395824185996480 404304724112000 405719790646392 412316860413000 422212465062912 422624781923325 439804651107200 450799767384880 454842814626000 465759042177024 473332359936000 485165668934400 494780232495600 507149738307990 527765581328640 540959720861856 549755813884000 563499709231100 582198802721280 606457086168000 618475290619500 633318697594368 646887558579200 659706976660800 676199651077320 703687441771520 704374636538875 709998539904000 721279627815808 727748503401600 776265070295040 791648371992960 808609448224000 811439581292784 824633720826000 844424930125824 845249563846650 879609302214400 901599534769760 909685629252000 970331337868800 989560464991200 1014299476615980 1055531162657280 1081919441723712 1099511627768000 1126999418462200 1164397605442560 1212914172336000 1236950581239000 1266637395188736 1267874345769975 1293775117158400 1319413953321600 1352399302154640 1407374883543040 1408749273077750 1419997079808000 1442559255631616 1455497006803200 1583296743985920 1617218896448000 1622879162585568 1649267441652000 1690499127693300 1759218604428800 1803199069539520 1819371258504000 1940662675737600 1979120929982400 2028598953231960 2111062325314560 2113123909616625 2163838883447424 2199023255536000 2253998836924400 2328795210885120 2425828344672000 2473901162478000 2533274790377472 2535748691539950 2638827906643200 2704798604309280 2817498546155500 2885118511263232 2910994013606400 3166593487971840 3234437792896000 3245758325171136 3298534883304000 3380998255386600 3518437208857600 3606398139079040 3638742517008000 3881325351475200 3958241859964800 4057197906463920 4222124650629120 4226247819233250 4327677766894848 4398046511072000 4507997673848800 4851656689344000 4947802324956000 5071497383079900 5277655813286400 5409597208618560 5634997092311000 5770237022526464 5821988027212800 6333186975943680 6339371728849875 6468875585792000 6491516650342272 6597069766608000 6761996510773200 7036874417715200 7212796278158080 7277485034016000 7916483719929600 8114395812927840 8452495638466500 8655355533789696 8796093022144000 9015995347697600 9703313378688000 9895604649912000 10142994766159800 10555311626572800 10819194417237120 11269994184622000 11540474045052928 11643976054425600 12666373951887360 12678743457699750 12983033300684544 13194139533216000 13523993021546400 14425592556316160 14554970068032000 15832967439859200 16228791625855680 16904991276933000 17310711067579392 17592186044288000 18031990695395200 19406626757376000 19791209299824000 20285989532319600 21110623253145600 21638388834474240 22539988369244000 25357486915399500 25966066601369088 26388279066432000 27047986043092800 28851185112632320 29109940136064000 31665934879718400 32457583251711360 33809982553866000 34621422135158784 35184372088576000 36063981390790400 39582418599648000 40571979064639200 43276777668948480 45079976738488000 50714973830799000 51932133202738176 52776558132864000 54095972086185600 57702370225264640 58219880272128000 63331869759436800 64915166503422720 67619965107732000 72127962781580800 79164837199296000 81143958129278400 86553555337896960 90159953476976000 101429947661598000 103864266405476352 105553116265728000 108191944172371200 129830333006845440 135239930215464000 144255925563161600 158329674398592000 162287916258556800 173107110675793920 180319906953952000 202859895323196000 216383888344742400 259660666013690880 270479860430928000 288511851126323200 316659348797184000 324575832517113600 360639813907904000 405719790646392000 432767776689484800 519321332027381760 540959720861856000 649151665034227200 721279627815808000 811439581292784000 865535553378969600 1081919441723712000 1298303330068454400 1442559255631616000 1622879162585568000 2163838883447424000 2596606660136908800 3245758325171136000 4327677766894848000 6491516650342272000 12983033300684544000
• Sum of all divisors σ(n): 48153087952389987840
• Sum of proper divisors (its aliquot sum) s(n): 35170054651705443840
• 12983033300684544000 is an abundant number, because the sum of its proper divisors (35170054651705443840) is greater than itself. Its abundance is 22187021351020899840

Bases of 12983033300684544000

• Binary: 1011010000101100111111111111111111111010010111101001100000000000₂
• Hexadecimal: 0xB42CFFFFFA5E9800
• Base-36: 2QN057BWPFCW0

Squares and roots of 12983033300684544000

• 12983033300684544000 squared (12983033300684544000²) is 168559153686683805095099000487936000000
• 12983033300684544000 cubed (12983033300684544000³) is 2188409105449419765421677268806608786458813661184000000000
• The square root of 12983033300684544000 is 3603197649.4059473117
• The cube root of 12983033300684544000 is 2350311.3093353965

Scales and comparisons

• 12,983,033,300,684,544,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 12,983,033,300,684,544,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12983033300684544000 cubic inches would be around 195859.3 feet tall.

Recreational maths with 12983033300684544000

• 12983033300684544000 backwards is 00044548600333038921
• The number of decimal digits it has is: 20
• The sum of 12983033300684544000's digits is 63
• More coming soon!