13084493006979392222400
13,084,493,006,979,392,222,400 is an even composite number composed of six prime numbers multiplied together.
13084493006979392222400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 13084493006979392222400:
26 × 3 × 52 × 112 × 29 × 776841277606357
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 29 × 776841277606357)See below for interesting mathematical facts about the number 13084493006979392222400 from the Numbermatics database.
Names of 13084493006979392222400
- Cardinal: 13084493006979392222400 can be written as Thirteen sextillion, eighty-four quintillion, four hundred ninety-three quadrillion, six trillion, nine hundred seventy-nine billion, three hundred ninety-two million, two hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.30844930069793922224 × 1022
Factors of 13084493006979392222400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 776841277606407
Divisors of 13084493006979392222400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 32 33 40 44 48 50 55 58 60 64 66 75 80 87 88 96 100 110 116 120 121 132 145 150 160 165 174 176 192 200 220 232 240 242 264 275 290 300 319 320 330 348 352 363 400 435 440 464 480 484 528 550 580 600 605 638 660 696 704 725 726 800 825 870 880 928 957 960 968 1056 1100 1160 1200 1210 1276 1320 1392 1450 1452 1595 1600 1650 1740 1760 1815 1856 1914 1936 2112 2175 2200 2320 2400 2420 2552 2640 2784 2900 2904 3025 3190 3300 3480 3509 3520 3630 3828 3872 4350 4400 4640 4785 4800 4840 5104 5280 5568 5800 5808 6050 6380 6600 6960 7018 7260 7656 7744 7975 8700 8800 9075 9280 9570 9680 10208 10527 10560 11600 11616 12100 12760 13200 13920 14036 14520 15312 15950 17400 17545 17600 18150 19140 19360 20416 21054 23200 23232 23925 24200 25520 26400 27840 28072 29040 30624 31900 34800 35090 36300 38280 38720 42108 46400 47850 48400 51040 52635 52800 56144 58080 61248 63800 69600 70180 72600 76560 84216 87725 95700 96800 102080 105270 112288 116160 127600 139200 140360 145200 153120 168432 175450 191400 193600 210540 224576 255200 263175 280720 290400 306240 336864 350900 382800 421080 510400 526350 561440 580800 673728 701800 765600 842160 1052700 1122880 1403600 1531200 1684320 2105400 2807200 3368640 4210800 5614400 8421600 16843200 776841277606357 1553682555212714 2330523832819071 3107365110425428 3884206388031785 4661047665638142 6214730220850856 7768412776063570 8545254053669927 9322095331276284 11652619164095355 12429460441701712 15536825552127140 17090508107339854 18644190662552568 19421031940158925 22528397050584353 23305238328190710 24858920883403424 25635762161009781 31073651104254280 34181016214679708 37288381325105136 38842063880317850 42726270268349635 45056794101168706 46610476656381420 49717841766806848 51271524322019562 58263095820476775 62147302208508560 67585191151753059 68362032429359416 74576762650210272 77684127760635700 85452540536699270 90113588202337412 93220953312762840 93997794590369197 102543048644039124 112641985252921765 116526191640953550 124294604417017120 128178810805048905 135170382303506118 136724064858718832 149153525300420544 155368255521271400 170905081073398540 180227176404674824 186441906625525680 187995589180738394 205086097288078248 213631351341748175 225283970505843530 233052383281907100 247812367556427883 248589208834034240 256357621610097810 270340764607012236 273448129717437664 281993383771107591 310736511042542800 337925955758765295 341810162146797080 360454352809349648 372883813251051360 375991178361476788 410172194576156496 427262702683496350 450567941011687060 466104766563814200 469988972951845985 495624735112855766 512715243220195620 540681529214024472 546896259434875328 563209926264608825 563986767542215182 621473022085085600 640894054025244525 675851911517530590 683620324293594160 720908705618699296 743437102669283649 745767626502102720 751982356722953576 820344389152312992 854525405366992700 901135882023374120 932209533127628400 939977945903691970 991249470225711532 1025430486440391240 1081363058428048944 1126419852529217650 1127973535084430364 1239061837782139415 1242946044170171200 1281788108050489050 1351703823035061180 1367240648587188320 1409966918855537955 1441817411237398592 1486874205338567298 1503964713445907152 1640688778304625984 1689629778793826475 1709050810733985400 1802271764046748240 1864419066255256800 1879955891807383940 1982498940451423064 2050860972880782480 2162726116856097888 2252839705058435300 2255947070168860728 2349944864759229925 2478123675564278830 2563576216100978100 2703407646070122360 2725936043120706713 2734481297174376640 2819933837711075910 2973748410677134596 3007929426891814304 3379259557587652950 3418101621467970800 3604543528093496480 3717185513346418245 3728838132510513600 3759911783614767880 3964997880902846128 4101721945761564960 4325452233712195776 4505679410116870600 4511894140337721456 4699889729518459850 4956247351128557660 5127152432201956200 5406815292140244720 5451872086241413426 5639867675422151820 5947496821354269192 6015858853783628608 6195309188910697075 6758519115175305900 6836203242935941600 7049834594277689775 7209087056186992960 7434371026692836490 7519823567229535760 7929995761805692256 8177808129362120139 8203443891523129920 9011358820233741200 9023788280675442912 9399779459036919700 9912494702257115320 10254304864403912400 10813630584280489440 10903744172482826852 11279735350844303640 11894993642708538384 12390618377821394150 13517038230350611800 13629680215603533565 13672406485871883200 14099669188555379550 14868742053385672980 15039647134459071520 15859991523611384512 16355616258724240278 18022717640467482400 18047576561350885824 18585927566732091225 18799558918073839400 19824989404514230640 20508609728807824800 21627261168560978880 21807488344965653704 22559470701688607280 23789987285417076768 24781236755642788300 27034076460701223600 27259360431207067130 28199338377110759100 29737484106771345960 30079294268918143040 32711232517448480556 36045435280934964800 37171855133464182450 37599117836147678800 39649978809028461280 40889040646810600695 41017219457615649600 43614976689931307408 45118941403377214560 47579974570834153536 49562473511285576600 54068152921402447200 54518720862414134260 56398676754221518200 59474968213542691920 65422465034896961112 68148401078017667825 74343710266928364900 75198235672295357600 79299957618056922560 81778081293621201390 87229953379862614816 90237882806754429120 99124947022571153200 108136305842804894400 109037441724828268520 112797353508443036400 118949936427085383840 130844930069793922224 136296802156035335650 148687420533856729800 150396471344590715200 163556162587242402780 174459906759725229632 198249894045142306400 204445203234053003475 218074883449656537040 225594707016886072800 237899872854170767680 261689860139587844448 272593604312070671300 297374841067713459600 327112325174484805560 396499788090284612800 408890406468106006950 436149766899313074080 451189414033772145600 523379720279175688896 545187208624141342600 594749682135426919200 654224650348969611120 817780812936212013900 872299533798626148160 1090374417248282685200 1189499364270853838400 1308449300697939222240 1635561625872424027800 2180748834496565370400 2616898601395878444480 3271123251744848055600 4361497668993130740800 6542246503489696111200 13084493006979392222400
- Sum of all divisors σ(n): 48812448794582253878160
- Sum of proper divisors (its aliquot sum) s(n): 35727955787602861655760
- 13084493006979392222400 is an abundant number, because the sum of its proper divisors (35727955787602861655760) is greater than itself. Its abundance is 22643462780623469433360
Bases of 13084493006979392222400
- Binary: 101100010101001111110100010100100100111011100100010110011000110100110000002
- Hexadecimal: 0x2C54FD1493B916634C0
- Base-36: 24PDUDFUAOGAQIO
Squares and roots of 13084493006979392222400
- 13084493006979392222400 squared (130844930069793922224002) is 171203957249692617405206402194097611061760000
- 13084493006979392222400 cubed (130844930069793922224003) is 2240116981400801872262708081772451265994492449510867950055424000000
-
The
square root of 13084493006979392222400 is 114387468749.7690553839 -
The
cube root of 13084493006979392222400 is 23564178.2789249111
Scales and comparisons
How big is 13084493006979392222400?- 13,084,493,006,979,392,222,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,084,493,006,979,392,222,400 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 13084493006979392222400 cubic inches would be around 1963681.5 feet tall.
Recreational maths with 13084493006979392222400
- 13084493006979392222400 backwards is 00422229397960039448031
- 13084493006979392222400 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 13084493006979392222400's digits is 87
- More coming soon!
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The information we have on file for 13084493006979392222400 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!
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