3428080990071148224000
3,428,080,990,071,148,224,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 3428080990071148224000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1280 divisors.
3428080990071148224000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 3428080990071148224000:
29 × 33 × 53 × 11 × 11933 × 15113498591
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11933 × 15113498591)See below for interesting mathematical facts about the number 3428080990071148224000 from the Numbermatics database.
Names of 3428080990071148224000
- Cardinal: 3428080990071148224000 can be written as Three sextillion, four hundred twenty-eight quintillion, eighty quadrillion, nine hundred ninety trillion, seventy-one billion, one hundred forty-eight million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 3.428080990071148224 × 1021
Factors of 3428080990071148224000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 15113510545
Divisors of 3428080990071148224000
- Number of divisors d(n): 1280
-
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 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 165 176 180 192 198 200 216 220 225 240 250 256 264 270 275 288 297 300 320 330 352 360 375 384 396 400 432 440 450 480 495 500 512 528 540 550 576 594 600 640 660 675 704 720 750 768 792 800 825 864 880 900 960 990 1000 1056 1080 1100 1125 1152 1188 1200 1280 1320 1350 1375 1408 1440 1485 1500 1536 1584 1600 1650 1728 1760 1800 1920 1980 2000 2112 2160 2200 2250 2304 2376 2400 2475 2560 2640 2700 2750 2816 2880 2970 3000 3168 3200 3300 3375 3456 3520 3600 3840 3960 4000 4125 4224 4320 4400 4500 4608 4752 4800 4950 5280 5400 5500 5632 5760 5940 6000 6336 6400 6600 6750 6912 7040 7200 7425 7680 7920 8000 8250 8448 8640 8800 9000 9504 9600 9900 10560 10800 11000 11520 11880 11933 12000 12375 12672 12800 13200 13500 13824 14080 14400 14850 15840 16000 16500 16896 17280 17600 18000 19008 19200 19800 21120 21600 22000 23040 23760 23866 24000 24750 25344 26400 27000 28160 28800 29700 31680 32000 33000 34560 35200 35799 36000 37125 38016 38400 39600 42240 43200 44000 47520 47732 48000 49500 50688 52800 54000 57600 59400 59665 63360 64000 66000 69120 70400 71598 72000 74250 76032 79200 84480 86400 88000 95040 95464 96000 99000 105600 107397 108000 115200 118800 119330 126720 131263 132000 140800 143196 144000 148500 152064 158400 172800 176000 178995 190080 190928 192000 198000 211200 214794 216000 237600 238660 253440 262526 264000 286392 288000 297000 298325 316800 322191 345600 352000 357990 380160 381856 393789 396000 422400 429588 432000 475200 477320 525052 528000 536985 572784 576000 594000 596650 633600 644382 656315 704000 715980 760320 763712 787578 792000 859176 864000 894975 950400 954640 1050104 1056000 1073970 1145568 1181367 1188000 1193300 1267200 1288764 1312630 1431960 1491625 1527424 1575156 1584000 1610955 1718352 1728000 1789950 1900800 1909280 1968945 2100208 2112000 2147940 2291136 2362734 2376000 2386600 2577528 2625260 2684925 2863920 2983250 3054848 3150312 3168000 3221910 3281575 3436704 3544101 3579900 3801600 3818560 3937890 4200416 4295880 4474875 4582272 4725468 4752000 4773200 5155056 5250520 5369850 5727840 5906835 5966500 6109696 6300624 6336000 6443820 6563150 6873408 7088202 7159800 7637120 7875780 8054775 8400832 8591760 8949750 9164544 9450936 9504000 9546400 9844725 10310112 10501040 10739700 11455680 11813670 11933000 12601248 12887640 13126300 13424625 13746816 14176404 14319600 15274240 15751560 16109550 16407875 16801664 17183520 17720505 17899500 18329088 18901872 19008000 19092800 19689450 20620224 21002080 21479400 22911360 23627340 23866000 25202496 25775280 26252600 26849250 27493632 28352808 28639200 29534175 30548480 31503120 32219100 32815750 33603328 34367040 35441010 35799000 37803744 38185600 39378900 40273875 41240448 42004160 42958800 45822720 47254680 47732000 49223625 50404992 51550560 52505200 53698500 54987264 56705616 57278400 59068350 63006240 64438200 65631500 67206656 68734080 70882020 71598000 75607488 76371200 78757800 80547750 82480896 84008320 85917600 88602525 91645440 94509360 95464000 98447250 100809984 103101120 105010400 107397000 113411232 114556800 118136700 126012480 128876400 131263000 137468160 141764040 143196000 147670875 151214976 152742400 157515600 161095500 164961792 168016640 171835200 177205050 189018720 190928000 196894500 201619968 206202240 210020800 214794000 226822464 229113600 236273400 252024960 257752800 262526000 274936320 283528080 286392000 295341750 302429952 315031200 322191000 336033280 343670400 354410100 378037440 381856000 393789000 412404480 420041600 429588000 443012625 453644928 458227200 472546800 504049920 515505600 525052000 567056160 572784000 590683500 604859904 630062400 644382000 687340800 708820200 756074880 763712000 787578000 824808960 840083200 859176000 886025250 907289856 945093600 1008099840 1031011200 1050104000 1134112320 1145568000 1181367000 1260124800 1288764000 1374681600 1417640400 1512149760 1575156000 1680166400 1718352000 1772050500 1814579712 1890187200 2062022400 2100208000 2268224640 2291136000 2362734000 2520249600 2577528000 2835280800 3024299520 3150312000 3436704000 3544101000 3780374400 4124044800 4200416000 4536449280 4725468000 5040499200 5155056000 5670561600 6300624000 6873408000 7088202000 7560748800 8400832000 9072898560 9450936000 10310112000 11341123200 12601248000 14176404000 15113498591 15121497600 18901872000 20620224000 22682246400 25202496000 28352808000 30226997182 37803744000 45340495773 45364492800 56705616000 60453994364 75567492955 75607488000 90680991546 113411232000 120907988728 136021487319 151134985910 166248484501 181361983092 226702478865 226822464000 241815977456 272042974638 302269971820 332496969002 362723966184 377837464775 408064461957 453404957730 483631954912 498745453503 544085949276 604539943640 664993938004 680107436595 725447932368 755674929550 816128923914 831242422505 906809915460 967263909824 997490907006 1088171898552 1133512394325 1209079887280 1329987876008 1360214873190 1450895864736 1496236360509 1511349859100 1632257847828 1662484845010 1813619830920 1889187323875 1934527819648 1994981814012 2040322309785 2176343797104 2267024788650 2418159774560 2493727267515 2659975752016 2720429746380 2901791729472 2992472721018 3022699718200 3264515695656 3324969690020 3400537182975 3627239661840 3778374647750 3869055639296 3989963628024 4080644619570 4156212112525 4352687594208 4488709081527 4534049577300 4836319549120 4987454535030 5319951504032 5440859492760 5667561971625 5803583458944 5984945442036 6045399436400 6529031391312 6649939380040 6801074365950 7254479323680 7481181802545 7556749295500 7738111278592 7979927256048 8161289239140 8312424225050 8705375188416 8977418163054 9068099154600 9672639098240 9974909070060 10201611548925 10639903008064 10881718985520 11335123943250 11607166917888 11969890884072 12090798872800 12468636337575 13058062782624 13299878760080 13602148731900 14508958647360 14962363605090 15113498591000 15959854512096 16322578478280 16624848450100 17002685914875 17410750376832 17954836326108 18136198309200 19345278196480 19949818140120 20403223097850 20781060562625 21279806016128 21763437971040 22443545407635 22670247886500 23214333835776 23939781768144 24181597745600 24937272675150 26116125565248 26599757520160 27204297463800 29017917294720 29924727210180 30226997182000 31919709024192 32645156956560 33249696900200 34005371829750 34821500753664 35909672652216 36272396618400 37405909012725 38690556392960 39899636280240 40806446195700 41562121125250 42559612032256 43526875942080 44887090815270 45340495773000 47879563536288 48363195491200 49874545350300 51008057744625 52232251130496 53199515040320 54408594927600 58035834589440 59849454420360 60453994364000 62343181687875 63839418048384 65290313913120 66499393800400 68010743659500 69643001507328 71819345304432 72544793236800 74811818025450 79799272560480 81612892391400 83124242250500 85119224064512 87053751884160 89774181630540 90680991546000 95759127072576 96726390982400 99749090700600 102016115489250 104464502260992 106399030080640 108817189855200 112217727038175 116071669178880 119698908840720 120907988728000 124686363375750 127678836096768 130580627826240 132998787600800 136021487319000 143638690608864 145089586473600 149623636050900 159598545120960 163225784782800 166248484501000 174107503768320 179548363261080 180349378686403 181361983092000 187029545063625 191518254145152 193452781964800 199498181401200 204032230978500 208929004521984 212798060161280 217634379710400 224435454076350 239397817681440 241815977456000 249372726751500 255357672193536 261161255652480 265997575201600 272042974638000 287277381217728 290179172947200 299247272101800 319197090241920 326451569565600 332496969002000 348215007536640 359096726522160 360698757372806 362723966184000 374059090127250 383036508290304 398996362802400 408064461957000 425596120322560 435268759420800 448870908152700 478795635362880 483631954912000 498745453503000 522322511304960 531995150403200 541048136059209 544085949276000 561088635190875 574554762435456 580358345894400 598494544203600 638394180483840 652903139131200 664993938004000 718193453044320 721397514745612 725447932368000 748118180254500 766073016580608 797992725604800 816128923914000 870537518841600 897741816305400 901746893432015 957591270725760 967263909824000 997490907006000 1044645022609920 1063990300806400 1082096272118418 1088171898552000 1122177270381750 1149109524870912 1196989088407200 1276788360967680 1305806278262400 1329987876008000 1436386906088640 1442795029491224 1450895864736000 1496236360509000 1595985451209600 1623144408177627 1632257847828000 1741075037683200 1795483632610800 1803493786864030 1915182541451520 1983843165550433 1994981814012000 2127980601612800 2164192544236836 2176343797104000 2244354540763500 2298219049741824 2393978176814400 2611612556524800 2659975752016000 2705240680296045 2872773812177280 2885590058982448 2901791729472000 2992472721018000 3191970902419200 3246288816355254 3264515695656000 3590967265221600 3606987573728060 3830365082903040 3967686331100866 3989963628024000 4328385088473672 4352687594208000 4488709081527000 4508734467160075 4787956353628800 4869433224532881 5223225113049600 5319951504032000 5410481360592090 5745547624354560 5771180117964896 5951529496651299 5984945442036000 6383941804838400 6492577632710508 6529031391312000 7181934530443200 7213975147456120 7935372662201732 7979927256048000 8115722040888135 8656770176947344 8705375188416000 8977418163054000 9017468934320150 9575912707257600 9738866449065762 9919215827752165 10639903008064000 10820962721184180 11491095248709120 11542360235929792 11903058993302598 11969890884072000 12985155265421016 13058062782624000 13526203401480225 14363869060886400 14427950294912240 15870745324403464 15959854512096000 16231444081776270 17313540353894688 17854588489953897 17954836326108000 18034937868640300 19151825414515200 19477732898131524 19838431655504330 21641925442368360 22543672335800375 23084720471859584 23806117986605196 23939781768144000 24347166122664405 25970310530842032 26116125565248000 27052406802960450 28727738121772800 28855900589824480 29757647483256495 31741490648806928 31919709024192000 32462888163552540 34627080707789376 35709176979907794 35909672652216000 36069875737280600 38955465796263048 39676863311008660 40578610204440675 43283850884736720 45087344671600750 46169440943719168 47612235973210392 47879563536288000 48694332245328810 49596079138760825 51940621061684064 53563765469861691 54104813605920900 57455476243545600 57711801179648960 59515294966512990 63482981297613856 64925776327105080 67631017007401125 69254161415578752 71418353959815588 71819345304432000 72139751474561200 77910931592526096 79353726622017320 81157220408881350 86567701769473440 89272942449769485 90174689343201500 92338881887438336 95224471946420784 95759127072576000 97388664490657620 99192158277521650 103881242123368128 107127530939723382 108209627211841800 115423602359297920 119030589933025980 121735830613322025 126965962595227712 129851552654210160 135262034014802250 138508322831157504 142836707919631176 143638690608864000 144279502949122400 148788237416282475 155821863185052192 158707453244034640 162314440817762700 173135403538946880 178545884899538970 180349378686403000 190448943892841568 194777328981315240 198384316555043300 202893051022203375 207762484246736256 214255061879446764 216419254423683600 230847204718595840 238061179866051960 243471661226644050 247980395693804125 253931925190455424 259703105308420320 267818827349308455 270524068029604500 277016645662315008 285673415839262352 287277381217728000 288559005898244800 297576474832564950 311643726370104384 317414906488069280 324628881635525400 346270807077893760 357091769799077940 360698757372806000 380897887785683136 389554657962630480 396768633110086600 405786102044406750 415524968493472512 428510123758893528 432838508847367200 446364712248847425 461694409437191680 476122359732103920 486943322453288100 495960791387608250 507863850380910848 519406210616840640 535637654698616910 541048136059209000 571346831678524704 577118011796489600 595152949665129900 608679153066610125 623287452740208768 634829812976138560 649257763271050800 692541614155787520 714183539598155880 721397514745612000 743941187081412375 761795775571366272 779109315925260960 793537266220173200 811572204088813500 831049936986945024 857020247517787056 865677017694734400 892729424497694850 952244719464207840 973886644906576200 991921582775216500 1015727700761821696 1038812421233681280 1071275309397233820 1082096272118418000 1142693663357049408 1154236023592979200 1190305899330259800 1217358306133220250 1246574905480417536 1269659625952277120 1298515526542101600 1339094136746542275 1385083228311575040 1428367079196311760 1442795029491224000 1487882374162824750 1523591551142732544 1558218631850521920 1587074532440346400 1623144408177627000 1714040495035574112 1731354035389468800 1785458848995389700 1904489438928415680 1947773289813152400 1983843165550433000 2077624842467362560 2142550618794467640 2164192544236836000 2231823561244237125 2285387326714098816 2308472047185958400 2380611798660519600 2434716612266440500 2493149810960835072 2539319251904554240 2597031053084203200 2678188273493084550 2856734158392623520 2885590058982448000 2975764748325649500 3047183102285465088 3116437263701043840 3174149064880692800 3246288816355254000 3428080990071148224 3462708070778937600 3570917697990779400 3808978877856831360 3895546579626304800 3967686331100866000 4155249684934725120 4285101237588935280 4328385088473672000 4463647122488474250 4570774653428197632 4761223597321039200 4869433224532881000 5078638503809108480 5194062106168406400 5356376546986169100 5713468316785247040 5771180117964896000 5951529496651299000 6232874527402087680 6348298129761385600 6492577632710508000 6695470683732711375 6856161980142296448 6925416141557875200 7141835395981558800 7617957755713662720 7791093159252609600 7935372662201732000 8570202475177870560 8656770176947344000 8927294244976948500 9141549306856395264 9522447194642078400 9738866449065762000 10388124212336812800 10712753093972338200 11426936633570494080 11542360235929792000 11903058993302598000 12465749054804175360 12696596259522771200 12985155265421016000 13390941367465422750 13712323960284592896 14283670791963117600 15235915511427325440 15582186318505219200 15870745324403464000 17140404950355741120 17313540353894688000 17854588489953897000 19044894389284156800 19477732898131524000 20776248424673625600 21425506187944676400 22853873267140988160 23806117986605196000 25393192519045542400 25970310530842032000 26781882734930845500 27424647920569185792 28567341583926235200 31164372637010438400 31741490648806928000 34280809900711482240 34627080707789376000 35709176979907794000 38089788778568313600 38955465796263048000 42851012375889352800 45707746534281976320 47612235973210392000 51940621061684064000 53563765469861691000 57134683167852470400 62328745274020876800 63482981297613856000 68561619801422964480 71418353959815588000 76179577557136627200 77910931592526096000 85702024751778705600 95224471946420784000 103881242123368128000 107127530939723382000 114269366335704940800 126965962595227712000 137123239602845928960 142836707919631176000 155821863185052192000 171404049503557411200 190448943892841568000 214255061879446764000 228538732671409881600 285673415839262352000 311643726370104384000 342808099007114822400 380897887785683136000 428510123758893528000 571346831678524704000 685616198014229644800 857020247517787056000 1142693663357049408000 1714040495035574112000 3428080990071148224000
- Sum of all divisors σ(n): 13816324118747205918720
- Sum of proper divisors (its aliquot sum) s(n): 10388243128676057694720
- 3428080990071148224000 is an abundant number, because the sum of its proper divisors (10388243128676057694720) is greater than itself. Its abundance is 6960162138604909470720
Bases of 3428080990071148224000
- Binary: 1011100111010110001011100011100110110111110111000010111110011110000000002
- Hexadecimal: 0xB9D62E39B7DC2F9E00
- Base-36: K3GYA3MDG496O0
Squares and roots of 3428080990071148224000
- 3428080990071148224000 squared (34280809900711482240002) is 11751739274487183848338385589778354176000000
- 3428080990071148224000 cubed (34280809900711482240003) is 40285914007142022327414674369179875749972636693265383424000000000
-
The
square root of 3428080990071148224000 is 58549816311.1648730645 -
The
cube root of 3428080990071148224000 is 15078229.8010851079
Scales and comparisons
How big is 3428080990071148224000?- 3,428,080,990,071,148,224,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 3,428,080,990,071,148,224,000 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 3428080990071148224000 cubic inches would be around 1256519.2 feet tall.
Recreational maths with 3428080990071148224000
- 3428080990071148224000 backwards is 0004228411700990808243
- 3428080990071148224000 is a
Harshad number . - The number of decimal digits it has is: 22
- The sum of 3428080990071148224000's digits is 72
- More coming soon!
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"Number 3428080990071148224000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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Numbermatics. (2024). Number 3428080990071148224000 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/3428080990071148224000/
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Numbermatics. 2024. "Number 3428080990071148224000 - Facts about the integer". https://numbermatics.com/n/3428080990071148224000/
The information we have on file for 3428080990071148224000 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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