42940978101504000
42,940,978,101,504,000 is an even composite number composed of five prime numbers multiplied together.
42940978101504000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42940978101504000:
211 × 33 × 53 × 7 × 316
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 42940978101504000 from the Numbermatics database.
Names of 42940978101504000
- Cardinal: 42940978101504000 can be written as Forty-two quadrillion, nine hundred forty trillion, nine hundred seventy-eight billion, one hundred one million, five hundred four thousand.
Scientific notation
- Scientific notation: 4.2940978101504 × 1016
Factors of 42940978101504000
Divisors of 42940978101504000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 32 35 36 40 42 45 48 50 54 56 60 62 63 64 70 72 75 80 84 90 93 96 100 105 108 112 120 124 125 126 128 135 140 144 150 155 160 168 175 180 186 189 192 200 210 216 217 224 225 240 248 250 252 256 270 279 280 288 300 310 315 320 336 350 360 372 375 378 384 400 420 432 434 448 450 465 480 496 500 504 512 525 540 558 560 576 600 620 630 640 651 672 675 700 720 744 750 756 768 775 800 837 840 864 868 875 896 900 930 945 960 961 992 1000 1008 1024 1050 1080 1085 1116 1120 1125 1152 1200 1240 1260 1280 1302 1344 1350 1395 1400 1440 1488 1500 1512 1536 1550 1575 1600 1674 1680 1728 1736 1750 1792 1800 1860 1890 1920 1922 1953 1984 2000 2016 2048 2100 2160 2170 2232 2240 2250 2304 2325 2400 2480 2520 2560 2604 2625 2688 2700 2790 2800 2880 2883 2976 3000 3024 3072 3100 3150 3200 3255 3348 3360 3375 3456 3472 3500 3584 3600 3720 3780 3840 3844 3875 3906 3968 4000 4032 4185 4200 4320 4340 4464 4480 4500 4608 4650 4725 4800 4805 4960 5040 5120 5208 5250 5376 5400 5425 5580 5600 5760 5766 5859 5952 6000 6048 6144 6200 6300 6400 6510 6696 6720 6727 6750 6912 6944 6975 7000 7168 7200 7440 7560 7680 7688 7750 7812 7875 7936 8000 8064 8370 8400 8640 8649 8680 8928 8960 9000 9216 9300 9450 9600 9610 9765 9920 10080 10240 10416 10500 10752 10800 10850 11160 11200 11520 11532 11625 11718 11904 12000 12096 12400 12600 12800 13020 13392 13440 13454 13500 13824 13888 13950 14000 14336 14400 14415 14880 15120 15360 15376 15500 15624 15750 15872 16000 16128 16275 16740 16800 17280 17298 17360 17856 17920 18000 18432 18600 18900 19200 19220 19530 19840 20160 20181 20832 20925 21000 21504 21600 21700 22320 22400 23040 23064 23250 23436 23625 23808 24000 24025 24192 24800 25200 25600 25947 26040 26784 26880 26908 27000 27125 27648 27776 27900 28000 28800 28830 29295 29760 29791 30240 30720 30752 31000 31248 31500 31744 32000 32256 32550 33480 33600 33635 34560 34596 34720 34875 35712 35840 36000 37200 37800 38400 38440 39060 39680 40320 40362 41664 41850 42000 43008 43200 43245 43400 44640 44800 46080 46128 46500 46872 47250 47616 48000 48050 48384 48825 49600 50400 51200 51894 52080 53568 53760 53816 54000 54250 55296 55552 55800 56000 57600 57660 58590 59520 59582 60480 60543 61504 62000 62496 63000 63488 64000 64512 65100 66960 67200 67270 69120 69192 69440 69750 71424 71680 72000 72075 74400 75600 76800 76880 78120 79360 80640 80724 81375 83328 83700 84000 86400 86490 86800 89280 89373 89600 92160 92256 93000 93744 94500 95232 96000 96100 96768 97650 99200 100800 100905 103788 104160 104625 107136 107520 107632 108000 108500 111104 111600 112000 115200 115320 117180 119040 119164 120125 120960 121086 123008 124000 124992 126000 128000 129024 129735 130200 133920 134400 134540 138240 138384 138880 139500 142848 144000 144150 146475 148800 148955 151200 153600 153760 156240 158720 161280 161448 162750 166656 167400 168000 168175 172800 172980 173600 178560 178746 179200 181629 184512 186000 187488 189000 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1846923789312 1861818336000 1863757730100 1917007950960 1923878947200 1978846917120 1988008245440 1996883282250 2044808481024 2052137543680 2061298872000 2127792384000 2130008834400 2164363815600 2198718796800 2234182003200 2236509276120 2272009423360 2308654736640 2329697162625 2385609894528 2396259938700 2404848684000 2473558646400 2482424448000 2485010306800 2556010601280 2565171929600 2638462556160 2662511043000 2683811131344 2705454769500 2726411308032 2748398496000 2770385683968 2792727504000 2795636595150 2840011779200 2885818420800 2978909337600 2982012368160 2995324923375 3067212721536 3078206315520 3091948308000 3106262883500 3180813192704 3191688576000 3195013251600 3206464912000 3298078195200 3354763914180 3408014135040 3462982104960 3550014724000 3578414841792 3607273026000 3664531328000 3693847578624 3723636672000 3727515460200 3834015901920 3847757894400 3957693834240 3976016490880 3993766564500 4089616962048 4122597744000 4193454892725 4260017668800 4328727631200 4397437593600 4468364006400 4473018552240 4544018846720 4617309473280 4659394325250 4771219789056 4792519877400 4809697368000 4947117292800 4964848896000 4970020613600 5112021202560 5130343859200 5325022086000 5367622262688 5410909539000 5452822616064 5496796992000 5540771367936 5585455008000 5591273190300 5680023558400 5771636841600 5964024736320 5990649846750 6134425443072 6156412631040 6183896616000 6212525767000 6361626385408 6383377152000 6390026503200 6412929824000 6596156390400 6709527828360 6816028270080 6925964209920 6989091487875 7100029448000 7156829683584 7214546052000 7329062656000 7447273344000 7455030920400 7668031803840 7695515788800 7915387668480 7952032981760 7987533129000 8179233924096 8245195488000 8386909785450 8520035337600 8657455262400 8936728012800 8946037104480 9088037693440 9234618946560 9318788650500 9542439578112 9585039754800 9619394736000 9894234585600 9940041227200 10224042405120 10260687718400 10650044172000 10735244525376 10821819078000 10993593984000 11081542735872 11170910016000 11182546380600 11360047116800 11543273683200 11928049472640 11981299693500 12268850886144 12367793232000 12425051534000 12723252770816 12780053006400 12825859648000 13192312780800 13419055656720 13632056540160 13851928419840 13978182975750 14200058896000 14313659367168 14429092104000 14894546688000 14910061840800 15336063607680 15391031577600 15904065963520 15975066258000 16358467848192 16490390976000 16773819570900 17040070675200 17314910524800 17892074208960 18469237893120 18637577301000 19084879156224 19170079509600 19238789472000 19788469171200 19880082454400 20448084810240 20967274463625 21300088344000 21470489050752 21643638156000 21987187968000 22341820032000 22365092761200 22720094233600 23086547366400 23856098945280 23962599387000 24537701772288 24735586464000 24850103068000 25560106012800 25651719296000 26838111313440 27264113080320 27703856839680 27956365951500 28400117792000 28627318734336 28858184208000 29820123681600 30672127215360 30782063155200 31808131927040 31950132516000 32980781952000 33547639141800 34080141350400 34629821049600 35784148417920 37275154602000 38169758312448 38340159019200 38477578944000 39576938342400 39760164908800 40896169620480 41934548927250 42600176688000 42940978101504 43287276312000 44683640064000 44730185522400 45440188467200 46173094732800 47712197890560 47925198774000 49075403544576 49471172928000 49700206136000 51120212025600 51303438592000 53676222626880 55407713679360 55912731903000 56800235584000 57254637468672 57716368416000 59640247363200 61344254430720 63616263854080 63900265032000 65961563904000 67095278283600 68160282700800 69259642099200 71568296835840 74550309204000 76680318038400 76955157888000 79520329817600 81792339240960 83869097854500 85200353376000 85881956203008 86574552624000 89460371044800 92346189465600 95424395781120 95850397548000 98942345856000 99400412272000 102240424051200 107352445253760 111825463806000 113600471168000 114509274937344 115432736832000 119280494726400 122688508861440 127800530064000 134190556567200 136320565401600 138519284198400 143136593671680 149100618408000 153360636076800 153910315776000 159040659635200 167738195709000 170400706752000 171763912406016 173149105248000 178920742089600 190848791562240 191700795096000 197884691712000 198800824544000 204480848102400 214704890507520 223650927612000 227200942336000 230865473664000 238560989452800 245377017722880 255601060128000 268381113134400 277038568396800 286273187343360 298201236816000 306721272153600 318081319270400 335476391418000 340801413504000 343527824812032 346298210496000 357841484179200 383401590192000 397601649088000 408961696204800 429409781015040 447301855224000 461730947328000 477121978905600 511202120256000 536762226268800 572546374686720 596402473632000 613442544307200 670952782836000 681602827008000 692596420992000 715682968358400 766803180384000 795203298176000 858819562030080 894603710448000 954243957811200 1022404240512000 1073524452537600 1192804947264000 1226885088614400 1341905565672000 1385192841984000 1431365936716800 1533606360768000 1590406596352000 1717639124060160 1789207420896000 2044808481024000 2147048905075200 2385609894528000 2683811131344000 2862731873433600 3067212721536000 3578414841792000 4294097810150400 4771219789056000 5367622262688000 6134425443072000 7156829683584000 8588195620300800 10735244525376000 14313659367168000 21470489050752000 42940978101504000
- Sum of all divisors σ(n): 187473153554668800
- Sum of proper divisors (its aliquot sum) s(n): 144532175453164800
- 42940978101504000 is an abundant number, because the sum of its proper divisors (144532175453164800) is greater than itself. Its abundance is 101591197351660800
Bases of 42940978101504000
- Binary: 100110001000111010010111100100100000110001001000000000002
- Hexadecimal: 0x988E97920C4800
- Base-36: BQTB10AFPC0
Squares and roots of 42940978101504000
- 42940978101504000 squared (429409781015040002) is 1843927600313846072127062016000000
- 42940978101504000 cubed (429409781015040003) is 79180054705835684420851214938876950872064000000000
-
The
square root of 42940978101504000 is 207222050.2299501909 -
The
cube root of 42940978101504000 is 350179.4402367015 - Being both a perfect square and a perfect cube, 42940978101504000 is also a
perfect sixth number .
Scales and comparisons
How big is 42940978101504000?- 42,940,978,101,504,000 seconds is equal to 1,365,390,278 years, 24 weeks.
-
To count from 1 to 42,940,978,101,504,000 would take you about four billion, ninety-six million, one hundred seventy thousand, eight hundred thirty-five 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 42940978101504000 cubic inches would be around 29181.6 feet tall.
Recreational maths with 42940978101504000
- 42940978101504000 backwards is 00040510187904924
- 42940978101504000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42940978101504000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42940978101504000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 42940978101504000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/42940978101504000/
Chicago style:
Numbermatics. 2024. "Number 42940978101504000 - Facts about the integer". https://numbermatics.com/n/42940978101504000/
The information we have on file for 42940978101504000 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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