242164018278000
242,164,018,278,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 242164018278000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3360 divisors.
242164018278000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 242164018278000:
24 × 36 × 53 × 73 × 13 × 1932
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 193 × 193)See below for interesting mathematical facts about the number 242164018278000 from the Numbermatics database.
Names of 242164018278000
- Cardinal: 242164018278000 can be written as Two hundred forty-two trillion, one hundred sixty-four billion, eighteen million, two hundred seventy-eight thousand.
Scientific notation
- Scientific notation: 2.42164018278 × 1014
Factors of 242164018278000
Divisors of 242164018278000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 35 36 39 40 42 45 48 49 50 52 54 56 60 63 65 70 72 75 78 80 81 84 90 91 98 100 104 105 108 112 117 120 125 126 130 135 140 144 147 150 156 162 168 175 180 182 189 193 195 196 200 208 210 216 225 234 240 243 245 250 252 260 270 273 280 294 300 312 315 324 325 336 343 350 351 360 364 375 378 386 390 392 400 405 420 432 441 450 455 468 486 490 500 504 520 525 540 546 560 567 579 585 588 600 624 630 637 648 650 675 686 700 702 720 728 729 735 750 756 772 780 784 810 819 840 875 882 900 910 936 945 965 972 975 980 1000 1008 1029 1040 1050 1053 1080 1092 1125 1134 1158 1170 1176 1200 1215 1225 1260 1274 1296 1300 1323 1350 1351 1365 1372 1400 1404 1456 1458 1470 1500 1512 1544 1560 1575 1620 1625 1638 1680 1701 1715 1737 1750 1755 1764 1800 1820 1872 1890 1911 1930 1944 1950 1960 2000 2025 2058 2100 2106 2160 2184 2205 2250 2268 2275 2316 2340 2352 2430 2450 2457 2509 2520 2548 2600 2625 2646 2700 2702 2730 2744 2800 2808 2835 2895 2916 2925 2940 3000 3024 3087 3088 3120 3150 3159 3185 3240 3250 3276 3375 3402 3430 3474 3500 3510 3528 3600 3640 3645 3675 3780 3822 3860 3888 3900 3920 3969 4050 4053 4095 4116 4200 4212 4368 4410 4459 4500 4536 4550 4632 4680 4725 4825 4860 4875 4900 4914 5018 5040 5096 5103 5145 5200 5211 5250 5265 5292 5400 5404 5460 5488 5616 5670 5733 5790 5832 5850 5880 6000 6075 6125 6174 6300 6318 6370 6480 6500 6552 6615 6750 6755 6804 6825 6860 6948 7000 7020 7056 7280 7290 7350 7371 7527 7560 7644 7720 7800 7875 7938 8100 8106 8190 8232 8400 8424 8505 8575 8685 8775 8820 8918 9000 9072 9100 9261 9264 9360 9450 9457 9477 9555 9650 9720 9750 9800 9828 10036 10125 10192 10206 10290 10422 10500 10530 10584 10800 10808 10920 11025 11340 11375 11466 11580 11664 11700 11760 11907 12150 12159 12250 12285 12348 12545 12600 12636 12740 13000 13104 13230 13377 13500 13510 13608 13650 13720 13896 14000 14040 14175 14475 14580 14625 14700 14742 15054 15120 15288 15435 15440 15600 15633 15750 15795 15876 15925 16200 16212 16380 16464 16848 17010 17150 17199 17370 17550 17563 17640 17836 18000 18200 18225 18375 18522 18900 18914 18954 19110 19300 19440 19500 19600 19656 19845 20072 20250 20265 20412 20475 20580 20844 21000 21060 21168 21616 21840 22050 22113 22295 22581 22680 22750 22932 23160 23400 23625 23814 24125 24300 24318 24500 24570 24696 25090 25200 25272 25480 25515 25725 26000 26055 26325 26460 26754 27000 27020 27216 27300 27440 27783 27792 28080 28350 28371 28665 28950 29160 29250 29400 29484 30108 30375 30576 30870 31266 31500 31590 31752 31850 32400 32424 32760 33075 33775 34020 34125 34300 34398 34740 35100 35126 35280 35672 35721 36400 36450 36477 36750 36855 37044 37249 37635 37800 37828 37908 38220 38600 39000 39312 39690 40131 40144 40500 40530 40824 40950 41160 41688 42000 42120 42525 42875 43425 43875 44100 44226 44590 45162 45360 45500 45864 46305 46320 46800 46899 47250 47285 47385 47628 47775 48250 48600 48636 49000 49140 49392 50180 50544 50960 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18103014000 18304158600 18480160125 18628001406 19008164700 19164610500 19219366530 19303628400 19611598500 19712170800 19768491288 19916442000 19931194920 20337954000 20592178425 20697779340 20761661375 20912264100 21120183000 21289144464 21354851700 21964990320 22176192150 22405997250 22422594285 22880198250 22997532600 23063239836 23235849000 23533918200 23727613000 23760205875 23917433904 24129535500 24640213500 24710614110 24837335208 24913993650 25094716920 25344219600 25552814000 25606854000 25625822040 25872224175 26140330125 26148798000 26611430580 26693564625 26907113142 27154521000 27456237900 27597039120 27883018800 28240701840 28473135600 28746915750 28829049795 29417397750 29568256200 29874663000 29896792380 30506931000 30750986448 31046669010 31368396150 31680274500 32032277550 32172714000 32853618000 32947485480 33218658200 33264288225 34320297375 34496298900 34594859754 34853773500 35300877300 35481907440 35591419500 35849595600 35876150856 36608317200 36960320250 37256002812 37370990475 38016329400 38329221000 38438733060 39223197000 39536982576 39862389840 40360669713 41184356850 41395558680 41523322750 41824528200 42240366000 42709703400 43120373625 44126096625 44352384300 44811994500 44845188570 45760396500 45995065200 46126479672 46471698000 46570003515 47067836400 47455226000 47520411750 48048416325 48259071000 49280427000 49421228220 49674670416 49827987300 50189433840 51251644080 51744448350 52280660250 53222861160 53387129250 53814226284 54309042000 54912475800 55440480375 57493831500 57658099590 58834795500 59136512400 59749326000 59793584760 61013862000 61776535275 62093338020 62284984125 62736792300 63360549000 64064555100 65894970960 66437316400 66528576450 67267782855 68640594750 68992597800 69189719508 69707547000 70601754600 71182839000 71752301712 73920640500 74512005624 74741980950 76032658800 76658442000 76877466120 77616672525 78420990375 78446394000 80080693875 80721339426 82368713700 82791117360 83046645500 83649056400 85419406800 86240747250 86487149385 88252193250 88704768600 89623989000 89690377140 91520793000 92252959344 93140007030 95040823500 96096832650 96518142000 98560854000 98842456440 99655974600 102960892125 103488896700 104561320500 106445722320 106774258500 107628452568 109824951600 110880960750 112112971425 114987663000 115316199180 117669591000 119587169520 121082009139 123553070550 124186676040 124569968250 125473584600 126721098000 128129110200 129361120875 133057152900 134535565710 137281189500 137985195600 138379439016 139415094000 141203509200 142365678000 144145248975 147841281000 149024011248 149483961900 153754932240 155233345050 156841980750 160161387750 161442678852 164737427400 166093291000 166321441125 172481494500 172974298770 176504386500 177409537200 179247978000 179380754280 183041586000 186280014060 186854952375 190081647000 192193665300 197684912880 199311949200 201803348565 205921784250 206977793400 209122641000 213548517000 215256905136 221761921500 224225942850 229975326000 230632398360 232850017575 235339182000 240242081625 242164018278 247106141100 248373352080 249139936500 250947169200 256258220400 258722241750 266114305800 269071131420 274562379000 276758878032 288290497950 295682562000 298967923800 308882676375 310466690100 313683961500 320322775500 322885357704 329474854800 332186582000 332642882250 336338914275 344962989000 345948597540 353008773000 358761508560 372560028120 373709904750 380163294000 384387330600 388083362625 403606697130 411843568500 413955586800 418245282000 427097034000 432435746925 443523843000 448451885700 461264796720 465700035150 480484163250 484328036556 494212282200 498279873000 517444483500 532228611600 538142262840 549124758000 560564857125 576580995900 597935847600 605410045695 617765352750 620933380200 627367923000 640645551000 645770715408 665285764500 672677828550 689925978000 691897195080 706017546000 720726244875 745120056240 747419809500 768774661200 776166725250 807213394260 823687137000 864871493850 887047686000 896903771400 931400070300 960968326500 968656073112 988424564400 996559746000 1009016742825 1034888967000 1076284525680 1121129714250 1153161991800 1164250087875 1210820091390 1235530705500 1241866760400 1254735846000 1281291102000 1330571529000 1345355657100 1383794390160 1441452489750 1494839619000 1552333450500 1614426788520 1647374274000 1681694571375 1729742987700 1793807542800 1862800140600 1921936653000 1937312146224 2018033485650 2069777934000 2162178734625 2242259428500 2306323983600 2328500175750 2421640182780 2471061411000 2661143058000 2690711314200 2882904979500 2989679238000 3027050228475 3104666901000 3228853577040 3363389142750 3459485975400 3725600281200 3843873306000 4036066971300 4324357469250 4484518857000 4657000351500 4843280365560 4942122822000 5045083714125 5381422628400 5765809959000 6054100456950 6209333802000 6726778285500 6918971950800 8072133942600 8648714938500 8969037714000 9314000703000 9686560731120 10090167428250 11531619918000 12108200913900 13453556571000 15135251142375 16144267885200 17297429877000 18628001406000 20180334856500 24216401827800 26907113142000 30270502284750 34594859754000 40360669713000 48432803655600 60541004569500 80721339426000 121082009139000 242164018278000
- Sum of all divisors σ(n): 1108319869238400
- Sum of proper divisors (its aliquot sum) s(n): 866155850960400
- 242164018278000 is an abundant number, because the sum of its proper divisors (866155850960400) is greater than itself. Its abundance is 623991832682400
Bases of 242164018278000
- Binary: 1101110000111111001101000100100101101110011100002
- Hexadecimal: 0xDC3F34496E70
- Base-36: 2DU8M3ZR00
Squares and roots of 242164018278000
- 242164018278000 squared (2421640182780002) is 58643411748547518085284000000
- 242164018278000 cubed (2421640182780003) is 14201324234559541109556250138820952000000000
-
The
square root of 242164018278000 is 15561620.0402785827 -
The
cube root of 242164018278000 is 62330.8723057129
Scales and comparisons
How big is 242164018278000?- 242,164,018,278,000 seconds is equal to 7,700,066 years, 37 weeks, 2 days, 15 hours.
-
To count from 1 to 242,164,018,278,000 would take you about nineteen million, two hundred fifty thousand, one hundred sixty-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 242164018278000 cubic inches would be around 5194.2 feet tall.
Recreational maths with 242164018278000
- 242164018278000 backwards is 000872810461242
- 242164018278000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242164018278000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 242164018278000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 242164018278000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/242164018278000/
Chicago style:
Numbermatics. 2024. "Number 242164018278000 - Facts about the integer". https://numbermatics.com/n/242164018278000/
The information we have on file for 242164018278000 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!
Keywords: Divisors of 242164018278000, math, Factors of 242164018278000, curriculum, school, college, exams, university, Prime factorization of 242164018278000, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, one hundred sixty-four billion, eighteen million, two hundred seventy-eight thousand.