42520434281472000
42,520,434,281,472,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 42520434281472000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1456 divisors.
42520434281472000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-six divisors.
Prime factorization of 42520434281472000:
213 × 3 × 53 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 42520434281472000 from the Numbermatics database.
Names of 42520434281472000
- Cardinal: 42520434281472000 can be written as Forty-two quadrillion, five hundred twenty trillion, four hundred thirty-four billion, two hundred eighty-one million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.2520434281472 × 1016
Factors of 42520434281472000
Divisors of 42520434281472000
- Number of divisors d(n): 1456
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 512 525 560 588 600 640 672 686 700 735 750 768 784 800 840 875 896 960 980 1000 1024 1029 1050 1120 1176 1200 1225 1280 1344 1372 1400 1470 1500 1536 1568 1600 1680 1715 1750 1792 1920 1960 2000 2048 2058 2100 2240 2352 2400 2401 2450 2560 2625 2688 2744 2800 2940 3000 3072 3136 3200 3360 3430 3500 3584 3675 3840 3920 4000 4096 4116 4200 4480 4704 4800 4802 4900 5120 5145 5250 5376 5488 5600 5880 6000 6125 6144 6272 6400 6720 6860 7000 7168 7203 7350 7680 7840 8000 8192 8232 8400 8575 8960 9408 9600 9604 9800 10240 10290 10500 10752 10976 11200 11760 12000 12005 12250 12288 12544 12800 13440 13720 14000 14336 14406 14700 15360 15680 16000 16464 16800 16807 17150 17920 18375 18816 19200 19208 19600 20480 20580 21000 21504 21952 22400 23520 24000 24010 24500 24576 25088 25600 25725 26880 27440 28000 28672 28812 29400 30720 31360 32000 32928 33600 33614 34300 35840 36015 36750 37632 38400 38416 39200 40960 41160 42000 42875 43008 43904 44800 47040 48000 48020 49000 50176 50421 51200 51450 53760 54880 56000 57344 57624 58800 60025 61440 62720 64000 65856 67200 67228 68600 71680 72030 73500 75264 76800 76832 78400 82320 84000 84035 85750 86016 87808 89600 94080 96000 96040 98000 100352 100842 102400 102900 107520 109760 112000 115248 117600 117649 120050 122880 125440 128000 128625 131712 134400 134456 137200 143360 144060 147000 150528 153600 153664 156800 164640 168000 168070 171500 172032 175616 179200 180075 188160 192000 192080 196000 200704 201684 204800 205800 215040 219520 224000 230496 235200 235298 240100 250880 252105 256000 257250 263424 268800 268912 274400 286720 288120 294000 300125 301056 307200 307328 313600 329280 336000 336140 343000 351232 352947 358400 360150 376320 384000 384160 392000 401408 403368 411600 420175 430080 439040 448000 460992 470400 470596 480200 501760 504210 512000 514500 526848 537600 537824 548800 576240 588000 588245 600250 602112 614400 614656 627200 658560 672000 672280 686000 702464 705894 716800 720300 752640 768000 768320 784000 806736 823200 823543 840350 860160 878080 896000 900375 921984 940800 941192 960400 1003520 1008420 1024000 1029000 1053696 1075200 1075648 1097600 1152480 1176000 1176490 1200500 1204224 1229312 1254400 1260525 1317120 1344000 1344560 1372000 1404928 1411788 1433600 1440600 1505280 1536000 1536640 1568000 1613472 1646400 1647086 1680700 1756160 1764735 1792000 1800750 1843968 1881600 1882384 1920800 2007040 2016840 2058000 2100875 2107392 2150400 2151296 2195200 2304960 2352000 2352980 2401000 2458624 2470629 2508800 2521050 2634240 2688000 2689120 2744000 2809856 2823576 2881200 2941225 3010560 3072000 3073280 3136000 3226944 3292800 3294172 3361400 3512320 3529470 3584000 3601500 3687936 3763200 3764768 3841600 4033680 4116000 4117715 4201750 4214784 4300800 4302592 4390400 4609920 4704000 4705960 4802000 4917248 4941258 5017600 5042100 5268480 5376000 5378240 5488000 5647152 5762400 5764801 5882450 6021120 6146560 6272000 6302625 6453888 6585600 6588344 6722800 7024640 7058940 7168000 7203000 7375872 7526400 7529536 7683200 8067360 8232000 8235430 8403500 8429568 8605184 8780800 8823675 9219840 9408000 9411920 9604000 9834496 9882516 10035200 10084200 10536960 10752000 10756480 10976000 11294304 11524800 11529602 11764900 12293120 12353145 12544000 12605250 12907776 13171200 13176688 13445600 14049280 14117880 14406000 14706125 14751744 15052800 15059072 15366400 16134720 16464000 16470860 16807000 17210368 17294403 17561600 17647350 18439680 18816000 18823840 19208000 19668992 19765032 20168400 20588575 21073920 21504000 21512960 21952000 22588608 23049600 23059204 23529800 24586240 24706290 25088000 25210500 25815552 26342400 26353376 26891200 28235760 28812000 28824005 29412250 29503488 30105600 30118144 30732800 32269440 32928000 32941720 33614000 34420736 34588806 35123200 35294700 36879360 37632000 37647680 38416000 39530064 40336800 40353607 41177150 42147840 43025920 43904000 44118375 45177216 46099200 46118408 47059600 49172480 49412580 50176000 50421000 51631104 52684800 52706752 53782400 56471520 57624000 57648010 58824500 59006976 60236288 61465600 61765725 64538880 65856000 65883440 67228000 68841472 69177612 70246400 70589400 73758720 75264000 75295360 76832000 79060128 80673600 80707214 82354300 86051840 86472015 87808000 88236750 90354432 92198400 92236816 94119200 98344960 98825160 100842000 102942875 103262208 105369600 105413504 107564800 112943040 115248000 115296020 117649000 120472576 121060821 122931200 123531450 129077760 131712000 131766880 134456000 137682944 138355224 141178800 144120025 147517440 150528000 150590720 153664000 158120256 161347200 161414428 164708600 172103680 172944030 175616000 176473500 180708864 184396800 184473632 188238400 197650320 201684000 201768035 205885750 206524416 210739200 210827008 215129600 225886080 230496000 230592040 235298000 240945152 242121642 245862400 247062900 258155520 263424000 263533760 268912000 276710448 282357600 282475249 288240050 295034880 301181440 307328000 308828625 316240512 322694400 322828856 329417200 344207360 345888060 351232000 352947000 361417728 368793600 368947264 376476800 395300640 403368000 403536070 411771500 413048832 421654016 430259200 432360075 451772160 460992000 461184080 470596000 481890304 484243284 491724800 494125800 516311040 526848000 527067520 537824000 553420896 564715200 564950498 576480100 602362880 605304105 614656000 617657250 632481024 645388800 645657712 658834400 688414720 691776120 705894000 720600125 722835456 737587200 737894528 752953600 790601280 806736000 807072140 823543000 843308032 847425747 860518400 864720150 903544320 921984000 922368160 941192000 963780608 968486568 988251600 1008840175 1032622080 1053696000 1054135040 1075648000 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23727920916 24094515200 24212164200 25299240960 25815552000 25826308480 26353376000 27117623904 27671044800 27682574402 28247524900 29515781120 29659901145 30118144000 30265205250 30991570176 31624051200 31637227888 32282885600 33732321280 33897029880 34588806000 35309406125 35418937344 36141772800 36156831872 36894726400 38739462720 39530064000 39546534860 40353607000 41322093568 41523861603 42165401600 42371287350 44273671680 45177216000 45196039840 46118408000 47225249792 47455841832 48424328400 49433168575 50598481920 51631104000 51652616960 52706752000 54235247808 55342089600 55365148804 56495049800 59031562240 59319802290 60236288000 60530410500 61983140352 63248102400 63274455776 64565771200 67794059760 69177612000 69206436005 70618812250 70837874688 72283545600 72313663744 73789452800 77478925440 79060128000 79093069720 80707214000 82644187136 83047723206 84330803200 84742574700 88547343360 90354432000 90392079680 92236816000 94911683664 96848656800 98866337150 101196963840 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415238616030 421654016000 423712873500 433881982464 442736716800 442921190432 451960398400 474558418320 484243284000 494331685750 495865122816 505984819200 506195646208 516526169600 542352478080 553420896000 553651488040 564950498000 578509309952 590315622400 593198022900 619831403520 632481024000 632744557760 645657712000 664381785648 677940597600 692064360050 708378746880 723136637440 737894528000 741497528625 759293469312 774789254400 790930697200 826441871360 830477232060 843308032000 847425747000 867763964928 885473433600 885842380864 903920796800 949116836640 968486568000 988663371500 991730245632 1012391292416 1033052339200 1038096540075 1084704956160 1106841792000 1107302976080 1129900996000 1157018619904 1180631244800 1186396045800 1239662807040 1264962048000 1265489115520 1291315424000 1328763571296 1355881195200 1384128720100 1446273274880 1475789056000 1482995057250 1518586938624 1549578508800 1581861394400 1652883742720 1660954464120 1694851494000 1730160900125 1735527929856 1770946867200 1771684761728 1807841593600 1898233673280 1936973136000 1977326743000 2024782584832 2066104678400 2076193080150 2169409912320 2213683584000 2214605952160 2259801992000 2314037239808 2372792091600 2479325614080 2529924096000 2530978231040 2582630848000 2657527142592 2711762390400 2768257440200 2892546549760 2951578112000 2965990114500 3037173877248 3099157017600 3163722788800 3321908928240 3389702988000 3460321800250 3471055859712 3541893734400 3543369523456 3615683187200 3796467346560 3873946272000 3954653486000 4049565169664 4132209356800 4152386160300 4338819824640 4427367168000 4429211904320 4519603984000 4745584183200 4958651228160 5061956462080 5165261696000 5190482700375 5315054285184 5423524780800 5536514880400 5785093099520 5903156224000 5931980229000 6074347754496 6198314035200 6327445577600 6643817856480 6779405976000 6920643600500 6942111719424 7086739046912 7231366374400 7592934693120 7747892544000 7909306972000 8099130339328 8264418713600 8304772320600 8677639649280 8854734336000 8858423808640 9039207968000 9491168366400 10123912924160 10330523392000 10380965400750 10630108570368 10847049561600 11073029760800 11570186199040 11863960458000 12148695508992 12396628070400 12654891155200 13287635712960 13558811952000 13841287201000 14173478093824 14462732748800 15185869386240 15495785088000 15818613944000 16198260678656 16609544641200 17355279298560 17709468672000 17716847617280 18078415936000 18982336732800 20247825848320 20661046784000 20761930801500 21260217140736 21694099123200 22146059521600 23727920916000 24297391017984 24793256140800 25309782310400 26575271425920 27117623904000 27682574402000 28346956187648 28925465497600 30371738772480 30991570176000 31637227888000 33219089282400 34710558597120 35433695234560 36156831872000 37964673465600 40495651696640 41322093568000 41523861603000 42520434281472 43388198246400 44292119043200 47455841832000 48594782035968 50619564620800 53150542851840 54235247808000 55365148804000 56693912375296 57850930995200 60743477544960 61983140352000 63274455776000 66438178564800 70867390469120 72313663744000 75929346931200 80991303393280 83047723206000 85040868562944 86776396492800 88584238086400 94911683664000 101239129241600 106301085703680 108470495616000 110730297608000 113387824750592 121486955089920 123966280704000 126548911552000 132876357129600 141734780938240 144627327488000 151858693862400 166095446412000 170081737125888 173552792985600 177168476172800 189823367328000 202478258483200 212602171407360 216940991232000 221460595216000 242973910179840 253097823104000 265752714259200 283469561876480 289254654976000 303717387724800 332190892824000 340163474251776 354336952345600 379646734656000 404956516966400 425204342814720 433881982464000 442921190432000 506195646208000 531505428518400 566939123752960 607434775449600 664381785648000 708673904691200 759293469312000 850408685629440 867763964928000 885842380864000 1012391292416000 1063010857036800 1214869550899200 1328763571296000 1417347809382400 1518586938624000 1700817371258880 1771684761728000 2024782584832000 2126021714073600 2657527142592000 2834695618764800 3037173877248000 3543369523456000 4252043428147200 5315054285184000 6074347754496000 7086739046912000 8504086856294400 10630108570368000 14173478093824000 21260217140736000 42520434281472000
- Sum of all divisors σ(n): 165082596378075792
- Sum of proper divisors (its aliquot sum) s(n): 122562162096603792
- 42520434281472000 is an abundant number, because the sum of its proper divisors (122562162096603792) is greater than itself. Its abundance is 80041727815131792
Bases of 42520434281472000
- Binary: 100101110001000000011100000101010000101011100000000000002
- Hexadecimal: 0x97101C150AE000
- Base-36: BMO8HUE3X1C
Squares and roots of 42520434281472000
- 42520434281472000 squared (425204342814720002) is 1807987331484979276922486784000000
- 42520434281472000 cubed (425204342814720003) is 76876406510140993503490409448870456066048000000000
-
The
square root of 42520434281472000 is 206204835.7373609219 -
The
cube root of 42520434281472000 is 349032.5234711975
Scales and comparisons
How big is 42520434281472000?- 42,520,434,281,472,000 seconds is equal to 1,352,018,285 years, 42 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 42,520,434,281,472,000 would take you about four billion, fifty-six million, fifty-four thousand, eight hundred fifty-seven 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 42520434281472000 cubic inches would be around 29086 feet tall.
Recreational maths with 42520434281472000
- 42520434281472000 backwards is 00027418243402524
- 42520434281472000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42520434281472000's digits is 48
- More coming soon!
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"Number 42520434281472000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 42520434281472000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/42520434281472000/
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The information we have on file for 42520434281472000 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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