42431831921920
42,431,831,921,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42431831921920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
42431831921920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42431831921920:
28 × 5 × 7 × 19 × 37 × 71 × 79 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 19 × 37 × 71 × 79 × 1201)See below for interesting mathematical facts about the number 42431831921920 from the Numbermatics database.
Names of 42431831921920
- Cardinal: 42431831921920 can be written as Forty-two trillion, four hundred thirty-one billion, eight hundred thirty-one million, nine hundred twenty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.243183192192 × 1013
Factors of 42431831921920
Divisors of 42431831921920
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 37 38 40 56 64 70 71 74 76 79 80 95 112 128 133 140 142 148 152 158 160 185 190 224 256 259 266 280 284 296 304 316 320 355 370 380 395 448 497 518 532 553 560 568 592 608 632 640 665 703 710 740 760 790 896 994 1036 1064 1106 1120 1136 1184 1201 1216 1264 1280 1295 1330 1349 1406 1420 1480 1501 1520 1580 1792 1988 2072 2128 2212 2240 2272 2368 2402 2432 2485 2528 2590 2627 2660 2698 2765 2812 2840 2923 2960 3002 3040 3160 3515 3976 4144 4256 4424 4480 4544 4736 4804 4864 4921 4970 5056 5180 5254 5320 5396 5530 5609 5624 5680 5846 5920 6004 6005 6080 6320 6745 7030 7505 7952 8288 8407 8512 8848 8960 9088 9443 9472 9608 9842 9940 10112 10360 10507 10508 10640 10792 11060 11218 11248 11360 11692 11840 12008 12010 12160 12640 13135 13490 14060 14615 15010 15904 16576 16814 17024 17696 18176 18389 18886 19216 19684 19880 20224 20461 20720 21014 21016 21280 21584 22120 22436 22496 22720 22819 23384 23680 24016 24020 24320 24605 25280 26270 26980 28045 28120 29230 30020 31808 33152 33628 34048 35392 36778 37772 38432 39263 39368 39760 40922 41440 42028 42032 42035 42560 43168 44240 44437 44872 44992 45440 45638 46768 47215 47360 48032 48040 49210 49913 50560 52535 52540 53960 55537 56090 56240 58460 60040 63616 66304 67256 70784 73556 75544 76864 78526 78736 79520 81844 82880 84056 84064 84070 85120 85271 86336 88480 88874 89744 89984 90880 91276 91945 93536 94430 94879 96064 96080 98420 99826 101120 102305 105070 105080 106571 107920 111074 112180 112480 114095 116920 120080 127232 134512 141568 147112 151088 153728 157052 157472 159040 159733 163688 165760 168112 168128 168140 170240 170542 172672 176960 177748 179488 179968 182552 183890 187072 188860 189758 192128 192160 196315 196840 199652 204610 207533 210140 210160 213142 215840 222148 222185 224360 224960 228190 233840 240160 249565 269024 277685 294224 302176 307456 311059 314104 314944 318080 319466 327376 331520 336224 336256 336280 341084 345344 349391 353920 355496 358976 365104 367780 374144 377720 379516 384256 384320 388759 392630 393680 399304 409220 415066 420280 420320 426284 426355 431680 444296 444370 448720 449920 456380 467680 474395 480320 499130 532855 538048 555370 588448 596897 604352 622118 628208 629888 636160 638932 654752 664153 672448 672512 672560 682168 698782 707840 710992 717952 730208 735560 745997 748288 755440 759032 768640 777518 785260 787360 798608 798665 818440 830132 840560 840640 844303 852568 852710 863360 888592 888740 897440 899840 912760 935360 948790 960640 998260 1037665 1065710 1076096 1110740 1176896 1193794 1208704 1244236 1256416 1259776 1277864 1309504 1328306 1344896 1345120 1364336 1397564 1421984 1435904 1452731 1460416 1471120 1491994 1510880 1518064 1537280 1555036 1555295 1570520 1574720 1597216 1597330 1620149 1636880 1660264 1681120 1681280 1688606 1705136 1705420 1726720 1746955 1777184 1777480 1794880 1802701 1825520 1870720 1897580 1921280 1943795 1996520 2075330 2131420 2152192 2221480 2353792 2387588 2417408 2488472 2512832 2555728 2619008 2656612 2689792 2690240 2728672 2795128 2843968 2905462 2920832 2942240 2983988 2984485 3021760 3036128 3110072 3110590 3141040 3149440 3155027 3194432 3194660 3240298 3273760 3320528 3320765 3362240 3362560 3377212 3410272 3410840 3493910 3510523 3554368 3554960 3589760 3605402 3651040 3729985 3741440 3795160 3887590 3943127 3993040 4150660 4221515 4262840 4442960 4707584 4775176 4976944 5025664 5111456 5238016 5313224 5380480 5457344 5590256 5687936 5810924 5841664 5884480 5910121 5967976 5968970 6043520 6072256 6220144 6221180 6282080 6298880 6310054 6388864 6389320 6480596 6547520 6641056 6641530 6724480 6736409 6754424 6820544 6821680 6987820 7021046 7108736 7109920 7179520 7210804 7263655 7302080 7459970 7590320 7775180 7886254 7986080 8100745 8301320 8443030 8525680 8885920 9013505 9550352 9953888 10051328 10222912 10626448 10760960 10914688 11180512 11341043 11375872 11621848 11768960 11820242 11935952 11937940 12087040 12144512 12440288 12442360 12564160 12618907 12620108 12777728 12778640 12961192 13095040 13282112 13283060 13448960 13472818 13508848 13641088 13643360 13975640 14042092 14217472 14219840 14421608 14527310 14604160 14919940 15180640 15550360 15772508 15775135 15972160 16201490 16602640 16886060 17051360 17552615 17771840 18027010 19100704 19715635 19907776 20445824 21252896 21829376 22085189 22361024 22682086 23243696 23537920 23640484 23871904 23875880 24289024 24573661 24880576 24884720 25128320 25237814 25240216 25557280 25922384 26190080 26564224 26566120 26945636 27017696 27282176 27286720 27601889 27951280 28084184 28439680 28843216 29054620 29208320 29550605 29839880 30361280 31100720 31545016 31550270 31944320 32402980 33205280 33682045 33772120 34102720 35105230 35543680 36054020 38201408 39431270 39815552 40891648 42505792 44170378 44722048 45364172 46487392 47154863 47280968 47743808 47751760 49147322 49761152 49769440 50256640 50475628 50480432 51114560 51844768 53128448 53132240 53891272 54035392 54573440 55203778 55902560 56168368 56705215 56879360 57686432 58109240 59101210 59679760 59945513 60722560 62201440 63090032 63094535 63100540 63888640 64805960 66410560 66699937 67364090 67544240 68205440 70210460 71087360 72108040 76402816 78862540 79631104 85011584 88340756 89444096 90728344 92974784 94309726 94561936 95487616 95503520 98294644 99522304 99538880 100951256 100960864 102229120 103689536 106264480 107782544 108070784 109146880 110407556 110425945 111805120 112336736 113410430 115372864 116218480 118202420 119359520 119891026 121445120 122868305 124402880 126180064 126189070 126201080 127991771 129611920 132821120 133399874 134728180 135088480 136410880 138009445 140420920 144216080 152805632 157725080 170023168 176681512 181456688 185949568 188619452 189123872 190975232 191007040 196589288 199077760 201902512 201921728 204458240 207379072 212528960 215565088 216141568 220815112 220851890 223610240 224673472 226820860 230745728 232436960 235774315 236404840 238719040 239782052 245736610 248805760 249247133 252360128 252378140 252402160 255983542 259223840 265642240 266799748 269456360 270176960 276018890 280841840 288432160 299727565 315450160 333499685 353363024 362913376 371899136 377238904 378247744 382014080 393178576 398155520 403805024 403843456 414758144 419618591 425057920 431130176 441630224 441703780 447220480 449346944 453641720 461491456 464873920 466899559 471548630 472809680 477438080 479564104 491473220 497611520 498494266 504720256 504756280 504804320 511967084 518447680 533599496 538912720 540353920 552037780 561683680 576864320 599455130 630900320 639958855 666999370 706726048 725826752 754477808 756495488 764028160 786357152 807610048 807686912 839237182 850115840 862260352 883260448 883407560 895942397 898693888 907283440 929747840 933799118 943097260 945619360 954876160 959128208 982946440 996988532 1009440512 1009512560 1009608640 1023934168 1036895360 1067198992 1077825440 1080707840 1104075560 1123367360 1153728640 1198910260 1246235665 1261800640 1279917710 1333998740 1413452096 1451653504 1508955616 1512990976 1572714304 1615220096 1678474364 1724520704 1744729931 1766520896 1766815120 1791884794 1814566880 1859495680 1867598236 1886194520 1891238720 1918256416 1965892880 1993977064 2019025120 2019217280 2047868336 2073790720 2098092955 2134397984 2155650880 2208151120 2246734720 2307457280 2334497795 2397820520 2492471330 2523601280 2559835420 2667997480 2826904192 2903307008 3017911232 3145428608 3230440192 3356948728 3489459862 3533041792 3533630240 3583769588 3629133760 3735196472 3772389040 3782477440 3836512832 3931785760 3987954128 4038050240 4038434560 4095736672 4196185910 4268795968 4311301760 4416302240 4479711985 4493469440 4668995590 4735695527 4795641040 4984942660 5047202560 5119670840 5335994960 5653808384 6035822464 6290857216 6713897456 6978919724 7066083584 7067260480 7167539176 7258267520 7470392944 7544778080 7564954880 7673025664 7863571520 7975908256 8076100480 8191473344 8392371820 8537591936 8622603520 8723649655 8832604480 8959423970 9337991180 9471391054 9591282080 9969885320 10239341680 10671989920 12071644928 13427794912 13957839448 14134520960 14335078352 14516535040 14940785888 15089556160 15346051328 15727143040 15951816512 16152200960 16382946688 16784743640 17075183872 17447299310 17665208960 17918847940 18675982360 18942782108 19182564160 19939770640 20478683360 21343979840 23678477635 26855589824 27915678896 28269041920 28670156704 29881571776 30179112320 31454286080 31903633024 32765893376 33149868689 33569487280 34894598620 35330417920 35837695880 37351964720 37885564216 38365128320 39879541280 40957366720 42687959680 47356955270 53711179648 55831357792 57340313408 59763143552 60358224640 63807266048 66299737378 67138974560 69789197240 71675391760 74703929440 75771128432 76730256640 79759082560 81914733440 85375919360 94713910540 107422359296 111662715584 114680626816 119526287104 132599474756 134277949120 139578394480 143350783520 149407858880 151542256864 159518165120 163829466880 165749343445 189427821080 223325431168 229361253632 265198949512 268555898240 279156788960 286701567040 298815717760 303084513728 319036330240 331498686890 378855642160 446650862336 530397899024 537111796480 558313577920 573403134080 597631435520 606169027456 662997373780 757711284320 1060795798048 1116627155840 1146806268160 1212338054912 1325994747560 1515422568640 2121591596096 2233254311680 2651989495120 3030845137280 4243183192192 5303978990240 6061690274560 8486366384384 10607957980480 21215915960960 42431831921920
- Sum of all divisors σ(n): 129063274905600
- Sum of proper divisors (its aliquot sum) s(n): 86631442983680
- 42431831921920 is an abundant number, because the sum of its proper divisors (86631442983680) is greater than itself. Its abundance is 44199611061760
Bases of 42431831921920
- Binary: 10011010010111011011100100010011010101000000002
- Hexadecimal: 0x26976E44D500
- Base-36: F1GWX62V4
Squares and roots of 42431831921920
- 42431831921920 squared (424318319219202) is 1800460360250069120976486400
- 42431831921920 cubed (424318319219203) is 76396831388210466001336549909240741888000
-
The
square root of 42431831921920 is 6513972.0541248871 -
The
cube root of 42431831921920 is 34878.9921604397
Scales and comparisons
How big is 42431831921920?- 42,431,831,921,920 seconds is equal to 1,349,201 years, 1 day, 18 hours, 18 minutes, 40 seconds.
-
To count from 1 to 42,431,831,921,920 would take you about three million, three hundred seventy-three thousand and two 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 42431831921920 cubic inches would be around 2906.6 feet tall.
Recreational maths with 42431831921920
- 42431831921920 backwards is 02912913813424
- The number of decimal digits it has is: 14
- The sum of 42431831921920's digits is 49
- More coming soon!
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The information we have on file for 42431831921920 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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