42004121966481220
42,004,121,966,481,220 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42004121966481220 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 972 divisors.
42004121966481220 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 42004121966481220:
22 × 5 × 72 × 132 × 172 × 29 × 55012
(2 × 2 × 5 × 7 × 7 × 13 × 13 × 17 × 17 × 29 × 5501 × 5501)See below for interesting mathematical facts about the number 42004121966481220 from the Numbermatics database.
Names of 42004121966481220
- Cardinal: 42004121966481220 can be written as Forty-two quadrillion, four trillion, one hundred twenty-one billion, nine hundred sixty-six million, four hundred eighty-one thousand, two hundred twenty.
Scientific notation
- Scientific notation: 4.200412196648122 × 1016
Factors of 42004121966481220
Divisors of 42004121966481220
- Number of divisors d(n): 972
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Complete list of divisors:
1 2 4 5 7 10 13 14 17 20 26 28 29 34 35 49 52 58 65 68 70 85 91 98 116 119 130 140 145 169 170 182 196 203 221 238 245 260 289 290 338 340 364 377 406 442 455 476 490 493 578 580 595 637 676 754 812 833 845 884 910 980 986 1015 1105 1156 1183 1190 1274 1421 1445 1508 1547 1666 1690 1820 1885 1972 2023 2030 2210 2366 2380 2465 2548 2639 2842 2873 2890 3094 3185 3332 3380 3451 3757 3770 4046 4060 4165 4420 4732 4901 4930 5278 5501 5684 5746 5780 5915 6188 6370 6409 6902 7105 7514 7540 7735 8092 8281 8330 8381 9802 9860 10115 10556 10829 11002 11492 11830 12740 12818 13195 13804 14161 14210 14365 15028 15470 16562 16660 16762 17255 18473 18785 19604 20111 20230 21658 22004 23660 24157 24505 25636 26299 26390 27505 28322 28420 28730 30940 32045 33124 33524 34307 34510 36946 37570 38507 40222 40460 41405 41905 43316 44863 48314 48841 49010 52598 52780 54145 55010 56644 57460 58667 64090 68614 69020 70805 71513 73892 75140 77014 80444 82810 83317 83810 89726 92365 93517 96628 97682 98020 100555 105196 108290 108953 110020 117334 120785 128180 131495 137228 140777 141610 143026 154028 159529 165620 166634 167620 171535 179452 184093 184730 187034 192535 195364 201110 216580 217906 224315 234668 240149 241570 244205 262990 269549 281554 283220 286052 293335 314041 319058 333268 341887 343070 357565 368186 369460 374068 385070 402220 410669 416585 435812 448630 467585 480298 483140 488410 500591 525980 539098 544765 563108 583219 586670 628082 638116 654619 683774 686140 703885 715130 736372 762671 770140 797645 821338 833170 897260 920465 929669 935170 960596 976820 1001182 1078196 1089530 1116703 1166438 1173340 1200745 1215721 1256164 1309238 1347745 1367548 1407770 1416389 1430260 1525342 1570205 1589789 1595290 1642676 1666340 1709435 1840930 1859338 1870340 2002364 2053345 2073877 2179060 2233406 2332876 2393209 2401490 2431442 2502955 2618476 2695490 2711993 2815540 2832778 2916095 3050684 3140410 3179578 3190580 3273095 3418870 3504137 3681860 3718676 3813355 4082533 4106690 4147754 4466812 4582333 4648345 4786418 4802980 4862884 5005910 5338697 5390980 5423986 5583515 5665556 5832190 6078605 6280820 6359156 6507683 6546190 6837740 7008274 7081945 7626710 7816921 7948945 8165066 8213380 8295508 8510047 9164666 9296690 9572836 9914723 10011820 10369385 10677394 10847972 11128523 11167030 11664380 11966045 12157210 13015366 13092380 13559965 14016548 14163890 14517139 15253420 15633842 15804373 15897890 16330132 17020094 17520685 18329332 18593380 18983951 19829446 20412665 20667257 20738770 21354788 22257046 22334060 22911665 23932090 24314420 26030732 26693485 26960401 27119930 28327780 29034278 30261001 31267684 31608746 31795780 32538415 34040188 35041370 35255909 37967902 39084605 39658892 40825330 41334514 41477540 42550235 44514092 45553781 45823330 46103881 47864180 49573615 53386970 53920802 54239860 55642615 58068556 59570329 60522002 63217492 65076830 69403061 70082740 70511818 72585695 75935804 77899661 78169210 79021865 81650660 82669028 85100470 91107562 91646660 92207762 94919755 99147230 101619973 103336285 106773940 107841604 110630611 111285230 119140658 121044004 130153660 132887657 134802005 138806122 141023636 144670799 145171390 151305005 155799322 156338420 158043730 170200940 176279545 182215124 184415524 188722807 189839510 198294460 203239946 206672570 211827007 221261222 222570460 227768905 230519405 238281316 246791363 265775314 268674341 269604010 277612244 289341598 290342780 297851645 302610010 311598644 316087460 322727167 347015305 352559090 377445614 379679020 389498305 393393013 406479892 413345140 423654014 442522444 455537810 458326817 461038810 493582726 508099865 514437017 531550628 537348682 539208020 553153055 578683196 595703290 599350453 605220020 645454334 664438285 694030610 705118180 723353995 754891228 774414277 778996610 786786026 847308028 877569029 911075620 916653634 922077620 943614035 987165452 1012695593 1016199730 1028874034 1059135035 1074697364 1106306110 1191406580 1198700906 1233956815 1290908668 1321059649 1328876570 1343371705 1388061220 1446707990 1482789049 1548828554 1557993220 1573572052 1613635835 1727539541 1755138058 1833307268 1880720387 1887228070 1966965065 2025391186 2032399460 2057748068 2118270070 2212612220 2259090169 2291634085 2397401812 2467913630 2572185085 2642119298 2657753140 2686743410 2753751091 2893415980 2965578098 2996752265 3097657108 3208287719 3227271670 3455079082 3510276116 3601059119 3761440774 3774456140 3872071385 3933930130 4050782372 4195453171 4236540140 4387845145 4518180338 4583268170 4935827260 5063477965 5114109169 5144370170 5284238596 5373486820 5507502182 5931156196 5993504530 6142983203 6416575438 6454543340 6605298245 6687681221 6910158164 7202118238 7413945245 7522881548 7744142770 7791555889 7867860260 8390906342 8637697705 8745429289 8775690290 9036360676 9166536340 9403601935 10126955930 10228218338 10288740340 11015004364 11295450845 11408397377 11987009060 12285966406 12833150876 13165042709 13210596490 13375362442 13768755455 14404236476 14827890490 14918673493 15488285540 15583111778 16041438595 16781812684 17275395410 17490858578 17551380580 18005295595 18807203870 19276257637 20253911860 20456436676 20977265855 22458014033 22590901690 22816794754 24571932812 25207413833 25570545845 26330085418 26421192980 26750724884 27537510910 29368172197 29655780980 29837346986 30714916015 31166223556 32082877190 33438406105 34550790820 34981717156 35798764183 36010591190 37614407740 38552515274 38957779445 41954531710 43000882421 43727146445 44916028066 45181803380 45633589508 46813768547 50414827666 51141091690 52660170836 54540891223 55075021820 57041986885 58736344394 59674693972 61218005023 61429832030 64165754380 65825213545 66876812210 71597528366 72021182380 74593367465 77105030548 77915558890 79858781639 83909063420 86001764842 86939855873 87454292890 89832056132 93627537094 96381288185 100829655332 102282183380 104430714451 109081782446 112290070165 113690580757 114083973770 117472688788 122436010046 122859664060 126037069165 131650427090 133753624420 143195056732 146840860985 148309165901 149186734930 155831117780 159717563278 172003529684 173879711746 174908585780 178993820915 187255074188 192762576370 193942755409 208861428902 215004412105 218163564892 224580140330 227381161514 228167947540 234068842735 244872020092 250591349281 252074138330 253617449381 263300854180 272704456115 293681721970 296618331802 298373469860 306090025115 319435126556 327696379829 347759423492 357987641830 381786238561 385525152740 387885510818 399293908195 417722857804 428526035161 430008824210 434699279365 449160280660 454762323028 468137685470 501182698562 504148276660 507234898762 522153572255 545408912230 559011471473 568452903785 587363443940 593236663604 608578991111 612180050230 655392759658 715975283660 731015001157 741545829505 763572477122 775771021636 795834065299 798587816390 857052070322 860017648420 869398558730 936275370940 969713777045 1002365397124 1014469797524 1038164161307 1044307144510 1090817824460 1118022942946 1136905807570 1217157982222 1224360100460 1252956746405 1268087246905 1310785519316 1357599287863 1462030002314 1477977549841 1483091659010 1527144954244 1591668130598 1597175632780 1638481899145 1714104140644 1738797117460 1775322145667 1908931192805 1939427554090 2076328322614 2088614289020 2142630175805 2236045885892 2273811615140 2434315964444 2505913492810 2521255820317 2536174493810 2715198575726 2795057357365 2924060004628 2955955099682 2966183318020 3042894955555 3183336261196 3276963798290 3297026841953 3550644291334 3655075005785 3817862385610 3878855108180 3979170326495 4152656645228 4260052937777 4285260351610 5011826985620 5042511640634 5072348987620 5190820806535 5430397151452 5570838457093 5590114714730 5911910199364 6085789911110 6553927596580 6594053683906 6787996439315 7101288582668 7267149129149 7310150011570 7389887749205 7635724771220 7958340652990 8520105875554 8570520703220 8876610728335 9503195015041 10085023281268 10345842848887 10381641613070 11141676914186 11180229429460 12171579822220 12427255019669 12606279101585 13188107367812 13575992878630 14534298258298 14620300023140 14779775498410 15916681305980 16485134209765 17040211751108 17648790742219 17753221456670 19006390030082 20691685697774 20763283226140 21300264688885 22283353828372 23079187893671 24854510039338 25212558203170 27151985757260 27854192285465 29068596516596 29559550996820 32970268419530 35297581484438 35506442913340 36335745645745 38012780060164 41383371395548 42600529377770 42861348945389 46158375787342 47515975075205 49709020078676 50425116406340 51729214244435 55708384570930 62136275098345 65940536839060 70595162968876 72420899942209 72671491291490 85201058755540 85722697890778 88243953711095 92316751574684 95031950150410 103458428488870 111416769141860 115395939468355 123541535195533 124272550196690 144841799884418 145342982582980 161554315255697 171445395781556 176487907422190 190063900300820 206916856977740 214306744726945 230791878936710 247083070391066 248545100393380 289683599768836 300029442617723 323108630511394 352975814844380 362104499711045 428613489453890 461583757873420 494166140782132 600058885235446 617707675977665 646217261022788 724208999422090 807771576278485 857226978907780 1200117770470892 1235415351955330 1448417998844180 1500147213088615 1615543152556970 2100206098324061 2470830703910660 3000294426177230 3231086305113940 4200412196648122 6000588852354460 8400824393296244 10501030491620305 21002060983240610 42004121966481220
- Sum of all divisors σ(n): 122122900730188260
- Sum of proper divisors (its aliquot sum) s(n): 80118778763707040
- 42004121966481220 is an abundant number, because the sum of its proper divisors (80118778763707040) is greater than itself. Its abundance is 38114656797225820
Bases of 42004121966481220
- Binary: 100101010011101010000110110000001110101000001111010001002
- Hexadecimal: 0x953A86C0EA0F44
- Base-36: BHL7V8OJVPG
Squares and roots of 42004121966481220
- 42004121966481220 squared (420041219664812202) is 1764346262175030152301188612688400
- 42004121966481220 cubed (420041219664812203) is 74109815587505217665270550064024266737592311848000
-
The
square root of 42004121966481220 is 204949071.6409352755 -
The
cube root of 42004121966481220 is 347614.0355970695
Scales and comparisons
How big is 42004121966481220?- 42,004,121,966,481,220 seconds is equal to 1,335,601,151 years, 13 weeks, 1 day, 11 hours, 53 minutes, 40 seconds.
-
To count from 1 to 42,004,121,966,481,220 would take you about four billion, six million, eight hundred three thousand, four hundred fifty-three 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 42004121966481220 cubic inches would be around 28967.8 feet tall.
Recreational maths with 42004121966481220
- 42004121966481220 backwards is 02218466912140024
- 42004121966481220 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42004121966481220's digits is 52
- More coming soon!
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The information we have on file for 42004121966481220 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!
Keywords: Divisors of 42004121966481220, math, Factors of 42004121966481220, curriculum, school, college, exams, university, Prime factorization of 42004121966481220, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four trillion, one hundred twenty-one billion, nine hundred sixty-six million, four hundred eighty-one thousand, two hundred twenty.