242164897039447200
242,164,897,039,447,200 is an even composite number composed of six prime numbers multiplied together.
242164897039447200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 242164897039447200:
25 × 32 × 52 × 7 × 132 × 28431118747
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 28431118747)See below for interesting mathematical facts about the number 242164897039447200 from the Numbermatics database.
Names of 242164897039447200
- Cardinal: 242164897039447200 can be written as Two hundred forty-two quadrillion, one hundred sixty-four trillion, eight hundred ninety-seven billion, thirty-nine million, four hundred forty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 2.421648970394472 × 1017
Factors of 242164897039447200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 28431118777
Divisors of 242164897039447200
- Number of divisors d(n): 648
-
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 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 126 130 140 144 150 156 160 168 169 175 180 182 195 200 208 210 224 225 234 240 252 260 273 280 288 300 312 315 325 336 338 350 360 364 390 400 416 420 450 455 468 480 504 507 520 525 546 560 585 600 624 630 650 672 676 700 720 728 780 800 819 840 845 900 910 936 975 1008 1014 1040 1050 1092 1120 1170 1183 1200 1248 1260 1300 1352 1365 1400 1440 1456 1521 1560 1575 1638 1680 1690 1800 1820 1872 1950 2016 2028 2080 2100 2184 2275 2340 2366 2400 2520 2535 2600 2704 2730 2800 2912 2925 3042 3120 3150 3276 3360 3380 3549 3600 3640 3744 3900 4056 4095 4200 4225 4368 4550 4680 4732 5040 5070 5200 5408 5460 5600 5850 5915 6084 6240 6300 6552 6760 6825 7098 7200 7280 7605 7800 8112 8190 8400 8450 8736 9100 9360 9464 10080 10140 10400 10647 10920 11700 11830 12168 12600 12675 13104 13520 13650 14196 14560 15210 15600 16224 16380 16800 16900 17745 18200 18720 18928 20280 20475 21294 21840 23400 23660 24336 25200 25350 26208 27040 27300 28392 29575 30420 31200 32760 33800 35490 36400 37856 38025 40560 40950 42588 43680 46800 47320 48672 50400 50700 53235 54600 56784 59150 60840 65520 67600 70980 72800 76050 81120 81900 85176 88725 93600 94640 101400 106470 109200 113568 118300 121680 131040 135200 141960 152100 163800 170352 177450 189280 202800 212940 218400 236600 243360 266175 283920 304200 327600 340704 354900 405600 425880 473200 532350 567840 608400 655200 709800 851760 946400 1064700 1216800 1419600 1703520 2129400 2839200 4258800 8517600 28431118747 56862237494 85293356241 113724474988 142155593735 170586712482 199017831229 227448949976 255880068723 284311187470 341173424964 369604543711 398035662458 426466781205 454897899952 511760137446 568622374940 597053493687 682346849928 710777968675 739209087422 796071324916 852933562410 909795799904 995089156145 1023520274892 1108813631133 1137244749880 1194106987374 1279400343615 1364693699856 1421555937350 1478418174844 1592142649832 1705867124820 1791160481061 1848022718555 1990178312290 2047040549784 2132333906025 2217627262266 2274489499760 2388213974748 2558800687230 2587231805977 2729387399712 2843111874700 2956836349688 2985267468435 3184285299664 3326440893399 3411734249640 3582320962122 3696045437110 3980356624580 4094081099568 4264667812050 4435254524532 4548978999520 4776427949496 4804859068243 4975445780725 5117601374460 5174463611954 5544068155665 5686223749400 5913672699376 5970534936870 6368570599328 6397001718075 6652881786798 6823468499280 7164641924244 7392090874220 7761695417931 7960713249160 8188162199136 8529335624100 8870509049064 8955802405305 9240113592775 9552855898992 9609718136486 9950891561450 10235202748920 10348927223908 11088136311330 11372447498800 11827345398752 11941069873740 12794003436150 12936159029885 13305763573596 13646936998560 14329283848488 14414577204729 14784181748440 14926337342175 15523390835862 15921426498320 16632204466995 17058671248200 17741018098128 17911604810610 18480227185550 19105711797984 19219436272972 19901783122900 20470405497840 20697854447816 22176272622660 22744894997600 23285086253793 23882139747480 24024295341215 25588006872300 25872318059770 26611527147192 27720340778325 28658567696976 28829154409458 29568363496880 29852674684350 31046781671724 31842852996640 33264408933990 33634013477701 34117342496400 35482036196256 35823209621220 36960454371100 38438872545944 38808477089655 39803566245800 40940810995680 41395708895632 43243731614187 44352545245320 44779012026525 46570172507586 47764279494960 48048590682430 51176013744600 51744636119540 53223054294384 55440681556650 57317135393952 57658308818916 59136726993760 59705349368700 62093563343448 64680795149425 66528817867980 67268026955402 68234684992800 71646419242440 72072886023645 73920908742200 76877745091888 77616954179310 79607132491600 82791417791264 83161022334975 86487463228374 88705090490640 89558024053050 93140345015172 95528558989920 96097181364860 100902040433103 102352027489200 103489272239080 106446108588768 110881363113300 115316617637832 116425431268965 119410698737400 120121476706075 124187126686896 129361590298850 133057635735960 134536053910804 143292838484880 144145772047290 147841817484400 153755490183776 155233908358620 159214264983200 166322044669950 168170067388505 172974926456748 177410180981280 179116048106100 186280690030344 192194362729720 194042385448275 201804080866206 204704054978400 206978544478160 216218658070935 221762726226600 230633235275664 232850862537930 238821397474800 240242953412150 248374253373792 258723180597700 266115271471920 269072107821608 286585676969760 288291544094580 295683634968800 302706121299309 310467816717240 332644089339900 336340134777010 345949852913496 358232096212200 360364430118225 372561380060688 384388725459440 388084770896550 403608161732412 413957088956320 432437316141870 443525452453200 461266470551328 465701725075860 477642794949600 480485906824300 504510202165515 517446361195400 532230542943840 538144215643216 576583088189160 582127156344825 605412242598618 620935633434480 665288178679800 672680269554020 691899705826992 716464192424400 720728860236450 745122760121376 768777450918880 776169541793100 807216323464824 840850336942525 864874632283740 887050904906400 931403450151720 960971813648600 1009020404331030 1034892722390800 1076288431286432 1081093290354675 1153166176378320 1164254312689650 1210824485197236 1241871266868960 1330576357359600 1345360539108040 1383799411653984 1432928384848800 1441457720472900 1513530606496545 1552339083586200 1614432646929648 1681700673885050 1729749264567480 1862806900303440 1921943627297200 2018040808662060 2069785444781600 2162186580709350 2306332352756640 2328508625379300 2421648970394472 2522551010827575 2661152714719200 2690721078216080 2882915440945800 3027061212993090 3104678167172400 3228865293859296 3363401347770100 3459498529134960 3725613800606880 3843887254594400 4036081617324120 4324373161418700 4657017250758600 4843297940788944 5045102021655150 5381442156432160 5765830881891600 6054122425986180 6209356334344800 6726802695540200 6918997058269920 7567653032482725 8072163234648240 8648746322837400 9314034501517200 9686595881577888 10090204043310300 11531661763783200 12108244851972360 13453605391080400 15135306064965450 16144326469296480 17297492645674800 18628069003034400 20180408086620600 24216489703944720 26907210782160800 30270612129930900 34594985291349600 40360816173241200 48432979407889440 60541224259861800 80721632346482400 121082448519723600 242164897039447200
- Sum of all divisors σ(n): 1056770354579311008
- Sum of proper divisors (its aliquot sum) s(n): 814605457539863808
- 242164897039447200 is an abundant number, because the sum of its proper divisors (814605457539863808) is greater than itself. Its abundance is 572440560500416608
Bases of 242164897039447200
- Binary: 11010111000101011110110000110110010001101011110100101000002
- Hexadecimal: 0x35C57B0D91AF4A0
- Base-36: 1U8GAHW0XK80
Squares and roots of 242164897039447200
- 242164897039447200 squared (2421648970394472002) is 58643837358126063251432881587840000
- 242164897039447200 cubed (2421648970394472003) is 14201478835828685401332199314424393219051842048000000
-
The
square root of 242164897039447200 is 492102526.9590141011 -
The
cube root of 242164897039447200 is 623309.4770075831
Scales and comparisons
How big is 242164897039447200?- 242,164,897,039,447,200 seconds is equal to 7,700,094,660 years, 33 weeks, 4 days, 2 hours.
-
To count from 1 to 242,164,897,039,447,200 would take you about twenty-three billion, one hundred million, two hundred eighty-three thousand, nine hundred eighty-one 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 242164897039447200 cubic inches would be around 51942.5 feet tall.
Recreational maths with 242164897039447200
- 242164897039447200 backwards is 002744930798461242
- 242164897039447200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 242164897039447200's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 242164897039447200 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 242164897039447200 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/242164897039447200/
Chicago style:
Numbermatics. 2024. "Number 242164897039447200 - Facts about the integer". https://numbermatics.com/n/242164897039447200/
The information we have on file for 242164897039447200 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 242164897039447200, math, Factors of 242164897039447200, curriculum, school, college, exams, university, Prime factorization of 242164897039447200, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two quadrillion, one hundred sixty-four trillion, eight hundred ninety-seven billion, thirty-nine million, four hundred forty-seven thousand, two hundred.