42084306992000
42,084,306,992,000 is an even composite number composed of seven prime numbers multiplied together.
42084306992000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42084306992000:
27 × 53 × 72 × 132 × 41 × 61 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 41 × 61 × 127)See below for interesting mathematical facts about the number 42084306992000 from the Numbermatics database.
Names of 42084306992000
- Cardinal: 42084306992000 can be written as Forty-two trillion, eighty-four billion, three hundred six million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 4.2084306992 × 1013
Factors of 42084306992000
Divisors of 42084306992000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 41 49 50 52 56 61 64 65 70 80 82 91 98 100 104 112 122 125 127 128 130 140 160 164 169 175 182 196 200 205 208 224 244 245 250 254 260 280 287 305 320 325 328 338 350 364 392 400 410 416 427 448 455 488 490 500 508 520 533 560 574 610 635 637 640 650 656 676 700 728 784 793 800 820 832 845 854 875 889 896 910 976 980 1000 1016 1025 1040 1066 1120 1148 1183 1220 1225 1270 1274 1300 1312 1352 1400 1435 1456 1525 1568 1586 1600 1625 1640 1651 1664 1690 1708 1750 1778 1820 1952 1960 2000 2009 2032 2050 2080 2132 2135 2240 2275 2296 2366 2440 2450 2501 2540 2548 2600 2624 2665 2704 2800 2870 2912 2989 3050 3136 3172 3175 3185 3200 3250 3280 3302 3380 3416 3500 3556 3640 3731 3904 3920 3965 4000 4018 4064 4100 4160 4225 4264 4270 4445 4480 4550 4592 4732 4880 4900 5002 5080 5096 5125 5200 5207 5248 5330 5408 5551 5600 5740 5824 5915 5978 6100 6125 6223 6272 6344 6350 6370 6500 6560 6604 6760 6832 6929 7000 7112 7175 7280 7462 7625 7747 7808 7840 7930 8000 8036 8128 8200 8255 8281 8320 8450 8528 8540 8890 9100 9184 9464 9760 9800 10004 10045 10160 10192 10250 10309 10400 10414 10660 10675 10816 11102 11200 11375 11480 11557 11648 11830 11956 12200 12250 12446 12505 12688 12700 12740 13000 13120 13208 13325 13520 13664 13858 14000 14224 14350 14560 14924 14945 15250 15494 15680 15860 15875 15925 16000 16072 16256 16400 16510 16562 16900 17056 17080 17507 17780 18200 18368 18655 18928 19520 19600 19825 20008 20090 20320 20384 20500 20618 20800 20828 21125 21320 21350 21463 21632 22204 22225 22400 22750 22960 23114 23660 23912 24400 24500 24892 25010 25376 25400 25480 26000 26035 26117 26240 26416 26650 27040 27328 27716 27755 28000 28448 28700 29120 29575 29848 29890 30500 30988 31115 31360 31720 31750 31850 32144 32513 32800 33020 33124 33800 34112 34160 34645 35014 35560 35875 36400 36449 36736 37310 37856 38735 38857 39040 39200 39650 40016 40180 40640 40768 41000 41236 41275 41405 41600 41656 42250 42640 42700 42926 44408 44450 45500 45920 46228 47320 47824 48503 48800 49000 49784 50020 50225 50752 50800 50960 51545 52000 52070 52234 52832 53300 53375 54080 54229 54656 55432 55510 56000 56896 57400 57785 58240 59150 59696 59780 61000 61976 62230 62525 63440 63500 63700 64288 65026 65600 66040 66248 66625 67600 67691 68224 68320 69290 70028 71120 71750 72163 72800 72898 74620 74725 75712 77470 77714 78400 79300 79625 80032 80360 80899 81280 81536 82000 82472 82550 82810 83312 84500 85280 85400 85852 87535 88816 88900 91000 91840 92456 93275 94640 95648 97006 97600 98000 99125 99568 100040 100450 100711 101504 101600 101920 103090 104000 104140 104468 105664 106600 106750 107315 108160 108458 110864 111020 111125 112000 113792 114800 115570 118300 119392 119560 122000 122549 123952 124460 125050 126880 127000 127400 128576 130052 130175 130585 131200 132080 132496 133250 135200 135382 136640 138580 138775 140056 142240 143500 144326 145600 145796 147875 149240 149450 150241 151424 154940 155428 155575 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412750 414050 416560 417872 422669 426400 427000 429260 433832 437675 443456 444080 444500 455182 459200 462280 466375 473200 473837 477568 478240 485030 488000 490196 495808 497840 500200 502250 503555 505141 507520 508000 509600 510286 515450 520208 520700 522340 528320 529984 533000 536575 540800 541528 542290 554320 555100 560224 568960 574000 577304 577850 583184 591500 596960 597800 600964 612745 619760 621712 622300 625250 634400 635254 637000 642880 647192 650260 650875 652925 656000 659776 660400 662480 666496 676000 676910 679042 683200 686816 692900 693875 700280 704977 710528 711200 721630 728000 728980 739648 746200 747250 751205 757120 759206 774700 776048 777140 777875 784000 793000 796544 800320 803600 805688 808990 812825 824720 825500 828100 833120 835744 845338 852800 854000 858520 866125 867664 875350 879983 886912 888160 889000 910364 911225 918400 924560 932750 946400 947674 956480 968375 970060 971425 976000 980392 991616 995680 1000400 1004500 1007110 1010282 1016000 1019200 1020572 1030900 1035125 1040416 1041400 1044680 1051687 1056640 1059968 1066000 1073150 1083056 1084580 1108640 1110200 1120448 1137955 1148000 1154608 1155700 1166368 1183000 1193920 1195600 1201928 1212575 1225490 1239520 1243424 1244600 1250500 1268800 1270508 1274000 1275715 1285760 1288625 1294384 1300520 1301750 1305850 1309243 1319552 1320800 1324960 1352000 1353820 1355725 1358084 1366400 1373632 1385800 1387750 1400560 1409954 1422400 1443260 1444625 1456000 1457960 1479296 1492400 1494500 1502410 1518412 1549400 1552096 1554280 1555750 1586000 1588135 1593137 1600640 1607200 1611376 1617980 1625650 1649440 1651000 1656200 1666240 1671488 1690676 1692275 1697605 1705600 1708000 1717040 1732250 1735328 1750700 1759966 1776320 1778000 1804075 1820728 1822450 1849120 1865500 1892800 1895348 1898015 1912960 1936750 1940120 1942850 1960784 1991360 2000800 2009000 2014220 2020564 2022475 2032000 2038400 2041144 2061800 2070250 2080832 2082800 2089360 2103374 2113345 2132000 2146300 2166112 2169160 2188375 2217280 2220400 2223389 2240896 2275910 2296000 2309216 2311400 2332736 2366000 2369185 2387840 2391200 2403856 2425150 2450980 2479040 2486848 2489200 2501000 2517775 2525705 2537600 2541016 2548000 2551430 2577250 2588768 2601040 2603500 2611700 2618486 2641600 2649920 2682875 2704000 2707640 2711450 2716168 2747264 2771600 2775500 2801120 2819908 2844800 2886520 2889250 2915920 2958683 2984800 2989000 3004820 3036824 3063725 3098800 3104192 3108560 3111500 3172000 3176270 3186274 3214400 3222752 3235960 3251300 3264625 3298880 3302000 3312400 3316859 3332480 3342976 3381352 3384550 3395210 3416000 3434080 3464500 3470656 3501400 3519932 3524885 3552640 3556000 3608150 3641456 3644900 3698240 3731000 3756025 3785600 3790696 3796030 3873500 3880240 3885700 3921568 3982720 4001600 4018000 4028440 4041128 4044950 4064125 4082288 4123600 4129151 4140500 4161664 4165600 4178720 4206748 4226690 4264000 4292600 4332224 4338320 4376750 4399915 4434560 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9164701 9236864 9245600 9464000 9476740 9490075 9564800 9615424 9700600 9714250 9803920 9869678 9956800 10004000 10071100 10102820 10112375 10164064 10192000 10205720 10309000 10355072 10404160 10414000 10446800 10473944 10516870 10566725 10731500 10830560 10845800 10864672 11086400 11102000 11116945 11204480 11279632 11379550 11546080 11557000 11663680 11834732 11845925 11939200 11956000 12019280 12125750 12147296 12254900 12319762 12395200 12434240 12446000 12588875 12628525 12688000 12705080 12745096 12757150 12891008 12943840 13005200 13058500 13092430 13208000 13249600 13267436 13525408 13538200 13557250 13580840 13736320 13858000 14005600 14079728 14099540 14224000 14432600 14565824 14579600 14793415 14924000 15024100 15162784 15184120 15318625 15494000 15520960 15542800 15563723 15686272 15881350 15931370 16072000 16113760 16164512 16179800 16256500 16329152 16494400 16516604 16562000 16584295 16662400 16714880 16826992 16906760 16922750 16976050 17170400 17353280 17507000 17599660 17624425 17763200 17787112 18040750 18207280 18224500 18329402 18491200 18780125 18928000 18953480 18980150 19230848 19401200 19428500 19607840 19739356 19913600 20008000 20142200 20205640 20224750 20328128 20411440 20618000 20645755 20710781 20808320 20828000 20893600 20947888 21033740 21133450 21463000 21661120 21691600 21729344 21999575 22172800 22204000 22233890 22559264 22759100 23092160 23114000 23327360 23669464 23691850 23912000 24038560 24251500 24294592 24509800 24639524 24674195 24790400 24868480 24892000 25177750 25257050 25410160 25490192 25514300 25887680 26010400 26117000 26184860 26292175 26416000 26499200 26534872 27050816 27076400 27114500 27161680 27716000 28011200 28159456 28199080 28448875 28865200 28904057 29131648 29159200 29586830 29848000 30048200 30325568 30368240 30637250 30799405 30988000 31041920 31085600 31127446 31762700 31862740 31892875 32144000 32227520 32329024 32359600 32513000 32658304 32731075 32988800 33033208 33124000 33168590 33653984 33813520 33845500 33952100 34340800 34706560 35014000 35199320 35248850 35574224 36081500 36414560 36449000 36658804 36982400 37560250 37906960 37960300 38802400 38857000 39215680 39478712 39703375 39828425 40016000 40284400 40411280 40449500 40656256 40822880 41236000 41291510 41421562 41656000 41787200 41895776 42067480 42266900 42440125 42926000 43119167 43322240 43383200 43458688 43999150 44408000 44467780 45118528 45518200 45823505 46184320 46228000 47338928 47383700 47450375 47824000 48077120 48503000 48589184 49019600 49279048 49348390 49784000 50355500 50514100 50820320 50980384 51028600 51775360 52020800 52234000 52369720 52584350 52833625 53069744 53678963 54101632 54152800 54229000 54323360 55432000 55584725 56022400 56318912 56398160 56897750 57730400 57808114 58318400 59173660 59229625 59696000 60096400 60651136 60736480 61274500 61598810 61976000 62171200 62254892 63142625 63525400 63725480 63785750 64152907 64455040 64658048 64719200 65026000 65462150 66066416 66248000 66337180 67307968 67627040 67691000 67904200 68681600 70028000 70398640 70497700 71148448 72163000 72829120 72898000 73317608 73967075 75120500 75813920 75920600 77604800 77714000 77818615 78431360 78957424 79406750 79656850 80568800 80822560 80899000 81645760 82472000 82583020 82843124 82921475 83312000 83574400 83791552 84134960 84533800 84880250 85852000 86238334 86766400 87998300 88122125 88816000 88935560 90237056 91036400 91647010 92456000 94677856 94767400 94900750 96154240 97006000 98039200 98558096 98696780 99568000 100711000 101028200 101640640 101960768 102057200 103228775 103553905 104041600 104468000 104739440 105168700 105667250 106139488 107357926 108305600 108458000 108646720 109997875 110864000 111169450 112637824 112796320 113795500 115460800 115616228 116636800 118347320 118459250 120192800 121472960 122549000 123197620 123370975 123952000 124342400 124509784 126285250 127050800 127450960 127571500 128305814 129438400 130052000 130924300 131460875 132132832 132496000 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270508160 270764000 271616800 277923625 280112000 281594560 281990800 284593792 288652000 289040570 291592000 293270432 295868300 300482000 303255680 303682400 307994050 310856000 311274460 315829696 317627000 318627400 320764535 322275200 323290240 323596000 327310750 330332080 331372496 331685900 336539840 338135200 339521000 343408000 344953336 351993200 352488500 355742240 364145600 366588040 369835375 375752741 378711424 379069600 379603000 388024000 389093075 392156800 394232384 394787120 398284250 402844000 404112800 404656798 408228800 412915100 414215620 414607375 417872000 418957760 420674800 422669000 424557952 429431704 431191670 433832000 439991500 444677800 451185280 455182000 458235050 462464912 473389280 473837000 480771200 490196000 492790480 493483900 498039136 505141000 508203200 509803840 510286000 513223256 516143875 517769525 520208000 523697200 525843500 528531328 530697440 536789630 541528000 543233600 555847250 563189120 563981600 577304000 578081140 583184000 586540864 591736600 600964000 607364800 615988100 616854875 621712000 622548920 631659392 635254000 637254800 641529070 647192000 654621500 660664160 662744992 663371800 673079680 676270400 679042000 689906672 703986400 704977000 711484480 722601425 728291200 733176080 739670750 751505482 758139200 759206000 769985125 776048000 778186150 788464768 789574240 796568500 805688000 808225600 809313596 816457600 825830200 828431240 829214750 837915520 841349600 845338000 858863408 862383340 867664000 879983000 889355600 910364000 916470100 924929824 946778560 947674000 980392000 985580960 986967800 996078272 1010282000 1011641995 1016406400 1019607680 1020572000 1026446512 1032287750 1035539050 1047394400 1051687000 1061394880 1073579260 1077979175 1083056000 1086467200 1111694500 1127963200 1145587625 1154608000 1156162280 1173081728 1183473200 1201928000 1214729600 1231976200 1233709750 1245097840 1270508000 1274509600 1283058140 1294384000 1309243000 1321328320 1325489984 1326743600 1341974075 1352540800 1358084000 1379813344 1407972800 1409954000 1422968960 1445202850 1466352160 1479341500 1503010964 1516278400 1518412000 1539970250 1556372300 1579148480 1593137000 1603822675 1611376000 1616451200 1618627192 1651660400 1656862480 1658429500 1682699200 1690676000 1717726816 1724766680 1759966000 1778711200 1820728000 1832940200 1849859648 1878763705 1893557120 1895348000 1945465375 1960784000 1971161920 1973935600 1992156544 2020564000 2023283990 2041144000 2052893024 2064575500 2071078100 2094788800 2103374000 2122789760 2147158520 2155958350 2223389000 2255926400 2291175250 2312324560 2366946400 2403856000 2463952400 2467419500 2490195680 2541016000 2549019200 2566116280 2588847625 2618486000 2630269187 2642656640 2650979968 2653487200 2683948150 2716168000 2759626688 2815945600 2819908000 2890405700 2932704320 2958683000 3006021928 3036824000 3079940500 3112744600 3158296960 3186274000 3207645350 3237254384 3303320800 3313724960 3316859000 3365398400 3381352000 3435453632 3449533360 3519932000 3557422400 3613007125 3641456000 3665880400 3699719296 3757527410 3790696000 3890930750 3942323840 3947871200 4041128000 4046567980 4082288000 4105786048 4129151000 4142156200 4189577600 4206748000 4294317040 4311916700 4446778000 4582350500 4624649120 4733892800 4927904800 4934839000 4980391360 5058209975 5082032000 5098038400 5132232560 5177695250 5236972000 5260538374 5306974400 5367896300 5389895875 5432336000 5519253376 5639816000 5780811400 5865408640 5917366000 6012043856 6073648000 6159881000 6225489200 6372548000 6415290700 6474508768 6606641600 6627449920 6633718000 6709870375 6762704000 6870907264 6899066720 7039864000 7114844800 7226014250 7331760800 7515054820 7581392000 7781861500 7895742400 8019113375 8082256000 8093135960 8211572096 8258302000 8284312400 8413496000 8588634080 8623833400 8893556000 9164701000 9249298240 9393818525 9467785600 9855809600 9869678000 9960782720 10116419950 10264465120 10355390500 10473944000 10521076748 10613948800 10735792600 10779791750 11279632000 11561622800 11834732000 12024087712 12319762000 12450978400 12745096000 12830581400 12949017536 13151345935 13213283200 13254899840 13267436000 13419740750 13798133440 14079728000 14452028500 14663521600 15030109640 15563723000 15791484800 16038226750 16186271920 16516604000 16568624800 16826992000 17177268160 17247666800 17787112000 18329402000 18498596480 18787637050 19711619200 19739356000 20232839900 20528930240 20710781000 20947888000 21042153496 21471585200 21559583500 23123245600 23669464000 24048175424 24639524000 24901956800 25291049875 25490192000 25661162800 25898035072 26302691870 26534872000 26839481500 27596266880 28904057000 29327043200 30060219280 31127446000 32076453500 32372543840 33033208000 33137249600 34354536320 34495333600 35574224000 36658804000 37575274100 39478712000 40465679800 41057860480 41421562000 42084306992 42943170400 43119167000 46246491200 46969092625 47338928000 48096350848 49279048000 49803913600 50582099750 51322325600 52605383740 53069744000 53678963000 57808114000 60120438560 62254892000 64152907000 64745087680 65756729675 66066416000 66274499200 68990667200 73317608000 75150548200 78957424000 80931359600 82843124000 84168613984 85886340800 86238334000 92492982400 93938185250 98558096000 101164199500 102644651200 105210767480 107357926000 115616228000 120240877120 124509784000 128305814000 129490175360 131513459350 137981334400 146635216000 150301096400 161862719200 165686248000 168337227968 171772681600 172476668000 187876370500 202328399000 205289302400 210421534960 214715852000 231232456000 240481754240 249019568000 256611628000 263026918700 300602192800 323725438400 328783648375 331372496000 336674455936 344953336000 375752741000 404656798000 420843069920 429431704000 462464912000 513223256000 526053837400 601204385600 647450876800 657567296750 689906672000 751505482000 809313596000 841686139840 858863408000 1026446512000 1052107674800 1202408771200 1315134593500 1503010964000 1618627192000 1683372279680 2104215349600 2630269187000 3006021928000 3237254384000 4208430699200 5260538374000 6012043856000 8416861398400 10521076748000 21042153496000 42084306992000
- Sum of all divisors σ(n): 138306207836160
- Sum of proper divisors (its aliquot sum) s(n): 96221900844160
- 42084306992000 is an abundant number, because the sum of its proper divisors (96221900844160) is greater than itself. Its abundance is 54137593852160
Bases of 42084306992000
- Binary: 10011001000110100001000010101100111011100000002
- Hexadecimal: 0x2646842B3B80
- Base-36: EX19HSQRK
Squares and roots of 42084306992000
- 42084306992000 squared (420843069920002) is 1771088894996900088064000000
- 42084306992000 cubed (420843069920003) is 74535048767171596194437210943488000000000
-
The
square root of 42084306992000 is 6487241.8632266209 -
The
cube root of 42084306992000 is 34783.5091064841
Scales and comparisons
How big is 42084306992000?- 42,084,306,992,000 seconds is equal to 1,338,150 years, 40 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,084,306,992,000 would take you about three million, three hundred forty-five thousand, three hundred seventy-six 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 42084306992000 cubic inches would be around 2898.6 feet tall.
Recreational maths with 42084306992000
- 42084306992000 backwards is 00029960348024
- The number of decimal digits it has is: 14
- The sum of 42084306992000's digits is 47
- More coming soon!
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Numbermatics. (2024). Number 42084306992000 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/42084306992000/
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Numbermatics. 2024. "Number 42084306992000 - Facts about the integer". https://numbermatics.com/n/42084306992000/
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