242038329984000
242,038,329,984,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 242038329984000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2816 divisors.
242038329984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 242038329984000:
210 × 33 × 53 × 11 × 31 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 31 × 59 × 59 × 59)See below for interesting mathematical facts about the number 242038329984000 from the Numbermatics database.
Names of 242038329984000
- Cardinal: 242038329984000 can be written as Two hundred forty-two trillion, thirty-eight billion, three hundred twenty-nine million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.42038329984 × 1014
Factors of 242038329984000
Divisors of 242038329984000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 44 45 48 50 54 55 59 60 62 64 66 72 75 80 88 90 93 96 99 100 108 110 118 120 124 125 128 132 135 144 150 155 160 165 176 177 180 186 192 198 200 216 220 225 236 240 248 250 256 264 270 275 279 288 295 297 300 310 320 330 341 352 354 360 372 375 384 396 400 432 440 450 465 472 480 495 496 500 512 528 531 540 550 558 576 590 594 600 620 640 649 660 675 682 704 708 720 744 750 768 775 792 800 825 837 864 880 885 900 930 944 960 990 992 1000 1023 1024 1056 1062 1080 1100 1116 1125 1152 1180 1188 1200 1240 1280 1298 1320 1350 1364 1375 1395 1408 1416 1440 1475 1485 1488 1500 1536 1550 1584 1593 1600 1650 1674 1705 1728 1760 1770 1800 1829 1860 1888 1920 1947 1980 1984 2000 2046 2112 2124 2160 2200 2232 2250 2304 2325 2360 2376 2400 2475 2480 2560 2596 2640 2655 2700 2728 2750 2790 2816 2832 2880 2950 2970 2976 3000 3069 3072 3100 3168 3186 3200 3245 3300 3348 3375 3410 3456 3481 3520 3540 3600 3658 3720 3776 3840 3875 3894 3960 3968 4000 4092 4125 4185 4224 4248 4320 4400 4425 4464 4500 4608 4650 4720 4752 4800 4950 4960 5115 5120 5192 5280 5310 5400 5456 5487 5500 5580 5632 5664 5760 5841 5900 5940 5952 6000 6138 6200 6336 6372 6400 6490 6600 6696 6750 6820 6912 6962 6975 7040 7080 7200 7316 7375 7425 7440 7552 7680 7750 7788 7920 7936 7965 8000 8184 8250 8370 8448 8496 8525 8640 8800 8850 8928 9000 9145 9207 9216 9300 9440 9504 9600 9735 9900 9920 10230 10384 10443 10560 10620 10800 10912 10974 11000 11160 11264 11328 11520 11625 11682 11800 11880 11904 12000 12276 12375 12400 12672 12744 12800 12980 13200 13275 13392 13500 13640 13824 13924 13950 14080 14160 14400 14632 14750 14850 14880 15104 15345 15360 15500 15576 15840 15872 15930 16000 16225 16368 16461 16500 16740 16896 16992 17050 17280 17405 17523 17600 17700 17856 18000 18290 18414 18600 18880 19008 19200 19470 19800 19840 20119 20460 20768 20886 20925 21120 21240 21600 21824 21948 22000 22125 22320 22656 23040 23250 23364 23600 23760 23808 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18647020800 18909244530 18992336000 19100247000 19519220160 19558652928 19716384000 20169860832 20332521000 20373596800 20511722880 20718912000 20820501504 21010271700 21366378000 21487777875 21688022400 22003484544 22055616000 22180932000 22410956480 22790803200 22920296400 23177088000 23308776000 23659660800 24399025200 24448316160 24862694400 25212326040 25466996000 25639653600 26025626880 26262839625 26288512000 26466739200 26893147776 27110028000 27348963840 27504355680 28013695600 28391592960 28488504000 28650370500 28917363200 29337979392 29574576000 30254791248 30387737600 30498781500 30560395200 31078368000 31230752256 31515407550 32049567000 32532033600 32597754880 32818756608 33083424000 33616434720 34186204800 34380444600 34700835840 34765632000 35017119500 35489491200 35857530368 36146704000 36672474240 37294041600 37818489060 37984672000 38200494000 39038440320 39432768000 40339721664 40665042000 40747193600 41023445760 41437824000 42020543400 42732756000 42975555750 43376044800 44006969088 44111232000 44361864000 44821912960 45581606400 45840592800 46617552000 47273111325 47319321600 48798050400 48896632320 50424652080 50933992000 51279307200 52051253760 52525679250 53786295552 54220056000 54697927680 55008711360 56027391200 56977008000 57300741000 57834726400 58675958784 59149152000 60509582496 60997563000 61120790400 62156736000 62461504512 63030815100 64099134000 65064067200 66166848000 67232869440 68372409600 68760889200 69531264000 70034239000 70978982400 71715060736 72293408000 73344948480 74588083200 75636978120 75969344000 76400988000 78076880640 78788518875 78865536000 80679443328 81330084000 81494387200 82046891520 84041086800 85465512000 85951111500 86752089600 88013938176 88723728000 89643825920 91163212800 91681185600 93235104000 94546222650 97596100800 97793264640 100849304160 101867984000 102558614400 104102507520 105051358500 107572591104 108440112000 110017422720 112054782400 113954016000 114601482000 118298304000 121019164992 121995126000 122241580800 124313472000 126061630200 128198268000 130128134400 132333696000 134465738880 136744819200 137521778400 140068478000 141957964800 144586816000 146689896960 151273956240 151938688000 152801976000 156153761280 157577037750 161358886656 162660168000 162988774400 164093783040 168082173600 170931024000 171902223000 173504179200 176027876352 177447456000 179287651840 183362371200 186470208000 189092445300 195192201600 201698608320 203735968000 205117228800 210102717000 215145182208 216880224000 220034845440 224109564800 227908032000 229202964000 236365556625 236596608000 242038329984 243990252000 244483161600 252123260400 256396536000 260256268800 268931477760 273489638400 275043556800 280136956000 289173632000 293379793920 302547912480 305603952000 312307522560 315154075500 322717773312 325320336000 336164347200 341862048000 343804446000 354894912000 358575303680 366724742400 372940416000 378184890600 390384403200 403397216640 407471936000 410234457600 420205434000 433760448000 440069690880 448219129600 455816064000 458405928000 472731113250 484076659968 487980504000 488966323200 504246520800 512793072000 520512537600 537862955520 550087113600 560273912000 605095824960 611207904000 630308151000 645435546624 650640672000 672328694400 683724096000 687608892000 709789824000 733449484800 756369781200 780768806400 806794433280 814943872000 820468915200 840410868000 867520896000 880139381760 896438259200 916811856000 945462226500 968153319936 975961008000 1008493041600 1025586144000 1075725911040 1100174227200 1120547824000 1210191649920 1222415808000 1260616302000 1301281344000 1344657388800 1367448192000 1375217784000 1466898969600 1512739562400 1561537612800 1613588866560 1680821736000 1792876518400 1833623712000 1890924453000 1936306639872 1951922016000 2016986083200 2051172288000 2200348454400 2241095648000 2420383299840 2444831616000 2521232604000 2602562688000 2689314777600 2750435568000 3025479124800 3227177733120 3361643472000 3667247424000 3781848906000 3903844032000 4033972166400 4102344576000 4400696908800 4482191296000 4840766599680 5042465208000 5378629555200 5500871136000 6050958249600 6723286944000 7334494848000 7563697812000 7807688064000 8067944332800 8964382592000 9681533199360 10084930416000 11001742272000 12101916499200 13446573888000 15127395624000 16135888665600 20169860832000 22003484544000 24203832998400 26893147776000 30254791248000 40339721664000 48407665996800 60509582496000 80679443328000 121019164992000 242038329984000
- Sum of all divisors σ(n): 1024739964518400
- Sum of proper divisors (its aliquot sum) s(n): 782701634534400
- 242038329984000 is an abundant number, because the sum of its proper divisors (782701634534400) is greater than itself. Its abundance is 540663304550400
Bases of 242038329984000
- Binary: 1101110000100001111100001010111001000100000000002
- Hexadecimal: 0xDC21F0AE4400
- Base-36: 2DSMVGFEO0
Squares and roots of 242038329984000
- 242038329984000 squared (2420383299840002) is 58582553181443673440256000000
- 242038329984000 cubed (2420383299840003) is 14179223338235492857641818237435904000000000
-
The
square root of 242038329984000 is 15557581.1096712589 -
The
cube root of 242038329984000 is 62320.0867551687
Scales and comparisons
How big is 242038329984000?- 242,038,329,984,000 seconds is equal to 7,696,070 years, 11 weeks, 3 days.
-
To count from 1 to 242,038,329,984,000 would take you about nineteen million, two hundred forty thousand, one hundred seventy-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 242038329984000 cubic inches would be around 5193.3 feet tall.
Recreational maths with 242038329984000
- 242038329984000 backwards is 000489923830242
- 242038329984000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242038329984000's digits is 54
- More coming soon!
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"Number 242038329984000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 242038329984000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/242038329984000/
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The information we have on file for 242038329984000 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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