3426388820715042000
3,426,388,820,715,042,000 is an even composite number composed of seven prime numbers multiplied together.
3426388820715042000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 3426388820715042000:
24 × 32 × 53 × 7 × 13 × 79 × 26478638821
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 79 × 26478638821)See below for interesting mathematical facts about the number 3426388820715042000 from the Numbermatics database.
Names of 3426388820715042000
- Cardinal: 3426388820715042000 can be written as Three quintillion, four hundred twenty-six quadrillion, three hundred eighty-eight trillion, eight hundred twenty billion, seven hundred fifteen million, forty-two thousand.
Scientific notation
- Scientific notation: 3.426388820715042 × 1018
Factors of 3426388820715042000
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 26478638930
Divisors of 3426388820715042000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 35 36 39 40 42 45 48 50 52 56 60 63 65 70 72 75 78 79 80 84 90 91 100 104 105 112 117 120 125 126 130 140 144 150 156 158 168 175 180 182 195 200 208 210 225 234 237 240 250 252 260 273 280 300 312 315 316 325 336 350 360 364 375 390 395 400 420 450 455 468 474 500 504 520 525 546 553 560 585 600 624 630 632 650 700 711 720 728 750 780 790 819 840 875 900 910 936 948 975 1000 1008 1027 1040 1050 1092 1106 1125 1170 1185 1200 1260 1264 1300 1365 1400 1422 1456 1500 1560 1575 1580 1625 1638 1659 1680 1750 1800 1820 1872 1896 1950 1975 2000 2054 2100 2184 2212 2250 2275 2340 2370 2520 2600 2625 2730 2765 2800 2844 2925 3000 3081 3120 3150 3160 3250 3276 3318 3500 3555 3600 3640 3792 3900 3950 4095 4108 4200 4368 4424 4500 4550 4680 4740 4875 4977 5040 5135 5200 5250 5460 5530 5688 5850 5925 6000 6162 6300 6320 6500 6552 6636 6825 7000 7110 7189 7280 7800 7875 7900 8190 8216 8295 8400 8848 9000 9100 9243 9360 9480 9750 9875 9954 10270 10500 10920 11060 11375 11376 11700 11850 12324 12600 13000 13104 13272 13650 13825 14000 14220 14378 14625 15405 15600 15750 15800 16380 16432 16590 17775 18000 18200 18486 18960 19500 19750 19908 20475 20540 21000 21567 21840 22120 22750 23400 23700 24648 24885 25200 25675 26000 26544 27300 27650 28440 28756 29250 29625 30810 31500 31600 32760 33180 34125 35550 35945 36400 36972 39000 39500 39816 40950 41080 41475 42000 43134 44240 45500 46215 46800 47400 49296 49770 51350 54600 55300 56880 57512 58500 59250 61620 63000 64701 65520 66360 68250 69125 71100 71890 73944 77025 78000 79000 79632 81900 82160 82950 86268 88875 91000 92430 94800 99540 102375 102700 107835 109200 110600 115024 117000 118500 123240 124425 126000 128375 129402 132720 136500 138250 142200 143780 147888 154050 158000 163800 165900 172536 177750 179725 182000 184860 199080 204750 205400 207375 215670 221200 231075 234000 237000 246480 248850 256750 258804 273000 276500 284400 287560 308100 323505 327600 331800 345072 355500 359450 369720 385125 398160 409500 410800 414750 431340 462150 474000 497700 513500 517608 539175 546000 553000 575120 616200 622125 647010 663600 711000 718900 739440 770250 819000 829500 862680 898625 924300 995400 1027000 1035216 1078350 1106000 1155375 1232400 1244250 1294020 1422000 1437800 1540500 1617525 1638000 1659000 1725360 1797250 1848600 1990800 2054000 2156700 2310750 2488500 2588040 2695875 2875600 3081000 3235050 3318000 3594500 3697200 4313400 4621500 4977000 5176080 5391750 6162000 6470100 7189000 8087625 8626800 9243000 9954000 10783500 12940200 14378000 16175250 18486000 21567000 25880400 32350500 43134000 64701000 129402000 26478638821 52957277642 79435916463 105914555284 132393194105 158871832926 185350471747 211829110568 238307749389 264786388210 317743665852 344222304673 370700943494 397179582315 423658221136 476615498778 529572776420 556051415241 635487331704 661965970525 688444609346 741401886988 794359164630 926752358735 953230997556 1032666914019 1059145552840 1112102830482 1191538746945 1270974663408 1323931941050 1376889218692 1482803773976 1588718329260 1668154245723 1721111523365 1853504717470 1906461995112 1985897911575 2065333828038 2091812466859 2118291105680 2224205660964 2383077493890 2409556132711 2647863882100 2753778437384 2780257076205 2965607547952 3098000742057 3177436658520 3309829852625 3336308491446 3442223046730 3707009434940 3812923990224 3971795823150 4130667656076 4183624933718 4448411321928 4633761793675 4766154987780 4819112265422 5163334570095 5295727764200 5507556874768 5560514152410 5957693734725 6196001484114 6275437400577 6354873317040 6619659705250 6672616982892 6884446093460 7228668398133 7414018869880 7943591646300 8261335312152 8340771228615 8367249867436 8605557616825 8896822643856 9267523587350 9532309975560 9638224530844 9929489557875 10326669140190 10459062334295 10591455528400 11121028304820 11915387469450 12047780663555 12392002968228 12550874801154 13239319410500 13345233965784 13768892186920 13901285381025 14457336796266 14642687268013 14828037739760 15490003710285 15887183292600 16522670624304 16681542457230 16734499734872 17211115233650 18535047174700 18826312201731 19064619951120 19276449061688 19858979115750 20653338280380 20918124668590 21686005194399 22242056609640 23168808968375 23830774938900 24095561327110 24784005936456 25101749602308 25816672850475 26478638821000 26690467931568 27193562069167 27537784373840 27802570762050 28914673592532 29285374536026 29788468673625 30980007420570 31377187002885 31774366585200 33363084914460 33468999469744 34422230467300 36143341990665 37070094349400 37652624403462 38552898123376 39717958231500 41306676560760 41703856143075 41836249337180 43027788084125 43372010388798 43928061804039 44484113219280 46337617936750 47661549877800 48191122654220 49568011872912 50203499204616 51633345700950 52295311671475 52957277642000 54387124138334 55605141524100 57829347185064 58570749072052 59576937347250 60238903317775 61960014841140 62754374005770 66726169828920 68844460934600 69506426905125 72286683981330 73213436340065 74140188698800 75305248806924 77450018551425 79435916463000 81580686207501 82613353121520 83407712286150 83672498674360 86055576168250 86744020777596 87856123608078 92675235873500 94131561008655 95323099755600 96382245308440 100406998409232 103266691401900 104590623342950 108430025971995 108774248276668 111210283048200 115658694370128 117141498144104 119153874694500 120477806635550 123920029682280 125508748011540 129083364252375 131784185412117 133452339657840 135967810345835 137688921869200 139012853810250 144573367962660 146426872680130 150610497613848 154900037102850 156885935014425 158871832926000 163161372415002 166815424572300 167344997348720 172111152336500 173488041555192 175712247216156 180716709953325 185350471747000 188263122017310 190354934484169 192764490616880 206533382803800 208519280715375 209181246685900 216860051943990 217548496553336 219640309020195 222420566096400 234282996288208 238307749389000 240955613271100 244742058622503 247840059364560 251017496023080 258166728504750 261476558357375 263568370824234 271935620691670 278025707620500 289146735925320 292853745360260 301194516588875 301220995227696 309800074205700 313771870028850 326322744830004 333630849144600 344222304673000 346976083110384 351424494432312 361433419906650 366067181700325 370700943494000 376526244034620 380709868968338 387250092757125 407903431037505 413066765607600 417038561430750 418362493371800 433720103887980 435096993106672 439280618040390 470657805043275 476615498778000 481911226542200 489484117245006 502034992046160 516333457009500 522953116714750 527136741648468 542150129859975 543871241383340 556051415241000 571064803452507 578293471850640 585707490720520 602389033177750 619600148411400 627543740057700 652645489660008 658920927060585 667261698289200 679839051729175 688444609346000 702848988864624 722866839813300 732134363400650 753052488069240 761419737936676 774500185514250 784429675072125 815806862075010 834077122861500 836724986743600 867440207775960 878561236080780 903583549766625 941315610086550 951774672420845 963822453084400 978968234490012 1032666914019000 1045906233429500 1054273483296936 1084300259719950 1087742482766680 1098201545100975 1112102830482000 1142129606905014 1171414981441040 1204778066355500 1223710293112515 1239200296822800 1255087480115400 1305290979320016 1317841854121170 1359678103458350 1445733679626600 1464268726801300 1506104976138480 1522839475873352 1549000371028500 1568859350144250 1631613724150020 1668154245723000 1713194410357521 1734880415551920 1757122472161560 1807167099533250 1830335908501625 1882631220173100 1903549344841690 1957936468980024 2039517155187525 2065333828038000 2091812466859000 2108546966593872 2168600519439900 2175484965533360 2196403090201950 2284259213810028 2353289025216375 2409556132711000 2447420586225030 2510174960230800 2635683708242340 2710750649299875 2719356206916700 2855324017262535 2891467359253200 2928537453602600 3045678951746704 3098000742057000 3137718700288500 3263227448300040 3294604635302925 3336308491446000 3399195258645875 3426388820715042 3514244944323120 3614334199066500 3660671817003250 3765262440346200 3807098689683380 3915872937960048 4079034310375050 4183624933718000 4337201038879800 4392806180403900 4568518427620056 4706578050432750 4758873362104225 4819112265422000 4894841172450060 5271367416484680 5421501298599750 5438712413833400 5491007725504875 5710648034525070 5857074907205200 6118551465562575 6196001484114000 6275437400577000 6526454896600080 6589209270605850 6798390517291750 6852777641430084 7228668398133000 7321343634006500 7530524880692400 7614197379366760 8158068620750100 8565972051787605 8674402077759600 8785612360807800 9137036855240112 9413156100865500 9517746724208450 9789682344900120 10197585775937625 10542734832969360 10843002597199500 10877424827666800 10982015451009750 11421296069050140 12237102931125150 12550874801154000 13178418541211700 13596781034583500 13705555282860168 14276620086312675 14457336796266000 14642687268013000 15228394758733520 16316137241500200 16473023176514625 17131944103575210 17571224721615600 18826312201731000 19035493448416900 19579364689800240 20395171551875250 21686005194399000 21964030902019500 22842592138100280 23794366810521125 24474205862250300 26356837082423400 27193562069167000 27411110565720336 28553240172625350 29285374536026000 30592757327812875 32632274483000400 32946046353029250 34263888207150420 37652624403462000 38070986896833800 40790343103750500 42829860258938025 43372010388798000 43928061804039000 45685184276200560 47588733621042250 48948411724500600 52713674164846800 54387124138334000 57106480345250700 61185514655625750 65892092706058500 68527776414300840 71383100431563375 76141973793667600 81580686207501000 85659720517876050 87856123608078000 95177467242084500 97896823449001200 114212960690501400 122371029311251500 131784185412117000 137055552828601680 142766200863126750 163161372415002000 171319441035752100 190354934484169000 214149301294690125 228425921381002800 244742058622503000 263568370824234000 285532401726253500 342638882071504200 380709868968338000 428298602589380250 489484117245006000 571064803452507000 685277764143008400 856597205178760500 1142129606905014000 1713194410357521000 3426388820715042000
- Sum of all divisors σ(n): 14915345226535004160
- Sum of proper divisors (its aliquot sum) s(n): 11488956405819962160
- 3426388820715042000 is an abundant number, because the sum of its proper divisors (11488956405819962160) is greater than itself. Its abundance is 8062567585104920160
Bases of 3426388820715042000
- Binary: 101111100011001111101001111010100010010001011011110100110100002
- Hexadecimal: 0x2F8CFA7A8916F4D0
- Base-36: Q15LGU2K0B80
Squares and roots of 3426388820715042000
- 3426388820715042000 squared (34263888207150420002) is 11740140350721016229772165061764000000
- 3426388820715042000 cubed (34263888207150420003) is 40226285651336062385390154401791527528573854088000000000
-
The
square root of 3426388820715042000 is 1851050734.2358399011 -
The
cube root of 3426388820715042000 is 1507574.8420796445
Scales and comparisons
How big is 3426388820715042000?- 3,426,388,820,715,042,000 seconds is equal to 108,948,565,982 years, 12 weeks, 3 days, 5 hours.
-
To count from 1 to 3,426,388,820,715,042,000 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 3426388820715042000 cubic inches would be around 125631.2 feet tall.
Recreational maths with 3426388820715042000
- 3426388820715042000 backwards is 0002405170288836243
- 3426388820715042000 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3426388820715042000's digits is 63
- More coming soon!
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The information we have on file for 3426388820715042000 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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