242964204117120
242,964,204,117,120 is an even composite number composed of five prime numbers multiplied together.
242964204117120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 242964204117120:
27 × 35 × 5 × 313 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 31 × 31 × 229 × 229)See below for interesting mathematical facts about the number 242964204117120 from the Numbermatics database.
Names of 242964204117120
- Cardinal: 242964204117120 can be written as Two hundred forty-two trillion, nine hundred sixty-four billion, two hundred four million, one hundred seventeen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.4296420411712 × 1014
Factors of 242964204117120
Divisors of 242964204117120
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 72 80 81 90 93 96 108 120 124 128 135 144 155 160 162 180 186 192 216 229 240 243 248 270 279 288 310 320 324 360 372 384 405 432 458 465 480 486 496 540 558 576 620 640 648 687 720 744 810 837 864 916 930 960 961 972 992 1080 1116 1145 1152 1215 1240 1296 1374 1395 1440 1488 1620 1674 1728 1832 1860 1920 1922 1944 1984 2061 2160 2232 2290 2430 2480 2511 2592 2748 2790 2880 2883 2976 3240 3348 3435 3456 3664 3720 3844 3888 3968 4122 4185 4320 4464 4580 4805 4860 4960 5022 5184 5496 5580 5760 5766 5952 6183 6480 6696 6870 7099 7328 7440 7533 7688 7776 8244 8370 8640 8649 8928 9160 9610 9720 9920 10044 10305 10368 10992 11160 11532 11904 12366 12555 12960 13392 13740 14198 14415 14656 14880 15066 15376 15552 16488 16740 17280 17298 17856 18320 18549 19220 19440 19840 20088 20610 21297 21984 22320 23064 24732 25110 25920 25947 26784 27480 28396 28830 29312 29760 29791 30132 30752 30915 31104 32976 33480 34596 35495 35712 36640 37098 37665 38440 38880 40176 41220 42594 43245 43968 44640 46128 49464 50220 51840 51894 52441 53568 54960 55647 56792 57660 59520 59582 60264 61504 61830 63891 65952 66960 69192 70990 73280 74196 75330 76880 77760 77841 80352 82440 85188 86490 87936 89280 89373 92256 92745 98928 100440 103788 104882 106485 107136 109920 111294 113584 115320 119164 120528 123008 123660 127782 129735 131904 133920 138384 141980 146560 148392 148955 150660 153760 155520 155682 157323 160704 164880 170376 172980 178560 178746 184512 185490 191673 197856 200880 207576 209764 212970 219840 220069 222588 227168 230640 233523 238328 241056 247320 255564 259470 262205 263808 267840 268119 276768 278235 283960 296784 297910 301320 307520 311364 314646 319455 321408 329760 340752 345960 357492 369024 370980 383346 389205 395712 401760 415152 419528 425940 439680 440138 445176 446865 454336 461280 467046 471969 476656 482112 494640 511128 518940 524410 535680 536238 553536 556470 567920 575019 593568 595820 602640 615040 622728 629292 638910 659520 660207 681504 691920 714984 741960 766692 778410 786615 791424 803520 804357 830304 839056 851880 880276 890352 893730 908672 922560 934092 943938 953312 958365 964224 989280 1022256 1037880 1048820 1072476 1100345 1107072 1112940 1135840 1150038 1167615 1187136 1191640 1205280 1245456 1258584 1277820 1319040 1320414 1340595 1363008 1383840 1415907 1429968 1483920 1533384 1556820 1573230 1607040 1608714 1625671 1660608 1678112 1703760 1725057 1760552 1780704 1787460 1845120 1868184 1887876 1906624 1916730 1978560 1980621 2044512 2075760 2097640 2144952 2200690 2225880 2271680 2300076 2335230 2359845 2374272 2383280 2410560 2413071 2490912 2517168 2555640 2640828 2681190 2726016 2767680 2831814 2859936 2875095 2967840 3066768 3113640 3146460 3217428 3251342 3301035 3321216 3356224 3407520 3450114 3521104 3561408 3574920 3736368 3775752 3813248 3833460 3957120 3961242 4021785 4089024 4151520 4195280 4247721 4289904 4401380 4451760 4543360 4600152 4670460 4719690 4766560 4821120 4826142 4877013 4981824 5034336 5111280 5281656 5362380 5535360 5663628 5719872 5750190 5935680 5941863 6133536 6227280 6292920 6434856 6502684 6602070 6712448 6815040 6822139 6900228 7042208 7079535 7122816 7149840 7239213 7472736 7551504 7666920 7922484 8043570 8128355 8178048 8303040 8390560 8495442 8579808 8625285 8802760 8903520 9200304 9340920 9439380 9533120 9652284 9754026 9903105 9963648 10068672 10222560 10563312 10724760 11327256 11439744 11500380 11871360 11883726 12065355 12267072 12454560 12585840 12743163 12869712 13005368 13204140 13630080 13644278 13800456 14084416 14159070 14299680 14478426 14631039 14945472 15103008 15333840 15844968 16087140 16256710 16606080 16781120 16990884 17159616 17250570 17605520 17807040 17825589 18400608 18681840 18878760 19066240 19304568 19508052 19806210 20137344 20445120 20466417 21126624 21238605 21449520 22654512 23000760 23767452 24130710 24385065 24534144 24909120 25171680 25486326 25739424 26010736 26408280 27288556 27600912 28168832 28318140 28599360 28956852 29262078 29709315 29890944 30206016 30667680 31689936 32174280 32513420 33562240 33981768 34110695 34319232 34501140 35211040 35614080 35651178 36196065 36801216 37363680 37757520 38609136 39016104 39612420 40890240 40932834 42253248 42477210 42899040 43893117 45309024 46001520 47534904 48261420 48770130 49818240 50343360 50395801 50972652 51478848 52021472 52816560 53476767 54577112 55201824 56636280 57198720 57913704 58524156 59418630 60412032 61335360 61399251 63379872 63715815 64348560 65026840 67963536 68221390 69002280 70422080 71302356 72392130 73155195 73602432 74727360 75515040 77218272 78032208 79224840 81865668 84506496 84954420 85798080 87786234 89127945 90618048 92003040 95069808 96522840 97540260 100686720 100791602 101945304 102332085 102957696 104042944 105633120 106953534 109154224 110403648 113272560 115827408 117048312 118837260 122670720 122798502 126759744 127431630 128697120 130053680 131679351 135927072 136442780 138004560 140844160 142604712 144784260 146310390 149454720 151030080 151187403 154436544 156064416 158449680 163731336 169908840 171596160 175572468 178255890 181236096 184006080 184197753 190139616 193045680 195080520 201583204 203890608 204664170 208085888 211266240 213907068 218308448 219465585 220807296 226545120 231654816 234096624 237674520 245597004 251979005 253519488 254863260 257394240 260107360 263358702 267383835 271854144 272885560 276009120 285209424 289568520 292620780 302060160 302374806 306996255 308873088 312128832 316899360 327462672 339817680 351144936 356511780 368012160 368395506 380279232 386091360 390161040 395038053 403166408 407781216 409328340 422532480 427814136 436616896 438931170 453090240 453562209 463309632 468193248 475349040 491194008 503958010 509726520 514788480 520214720 526717404 534767670 543708288 545771120 552018240 552593259 570418848 579137040 585241560 604749612 613992510 624257664 633798720 654925344 658396755 679635360 702289872 713023560 736791012 755937015 760558464 772182720 780322080 790076106 806332816 815562432 818656680 855628272 873233792 877862340 906180480 907124418 920988765 926619264 936386496 950698080 982388016 1007916020 1019453040 1040429440 1053434808 1069535340 1091542240 1104036480 1105186518 1140837696 1158274080 1170483120 1209499224 1227985020 1267597440 1309850688 1316793510 1359270720 1360686627 1404579744 1426047120 1473582024 1511874030 1544365440 1560644160 1562269831 1580152212 1612665632 1631124864 1637313360 1657779777 1711256544 1755724680 1814248836 1841977530 1872772992 1901396160 1964776032 1975190265 2015832040 2038906080 2106869616 2139070680 2183084480 2210373036 2267811045 2281675392 2316548160 2340966240 2418998448 2455970040 2619701376 2633587020 2718541440 2721373254 2762966295 2809159488 2852094240 2947164048 3023748060 3121288320 3124539662 3160304424 3225331264 3274626720 3315559554 3422513088 3511449360 3628497672 3683955060 3802792320 3929552064 3950380530 4031664080 4077812160 4082059881 4213739232 4278141360 4366168960 4420746072 4535622090 4633096320 4681932480 4686809493 4837996896 4911940080 5267174040 5442746508 5525932590 5618318976 5704188480 5894328096 6047496120 6249079324 6320608848 6450662528 6549253440 6631119108 6803433135 6845026176 7022898720 7256995344 7367910120 7811349155 7859104128 7900761060 8063328160 8155624320 8164119762 8288898885 8427478464 8556282720 8841492144 9071244180 9363864960 9373618986 9675993792 9823880160 10534348080 10885493016 11051865180 11408376960 11788656192 12094992240 12246179643 12498158648 12641217696 13098506880 13262238216 13606866270 14045797440 14060428479 14513990688 14735820240 15622698310 15801522120 16126656320 16328239524 16577797770 16854956928 17112565440 17682984288 18142488360 18747237972 19351987584 19647760320 20410299405 21068696160 21770986032 22103730360 23434047465 23577312384 24189984480 24492359286 24996317296 25282435392 26524476432 27213732540 28091594880 28120856958 29027981376 29471640480 31245396620 31603044240 32253312640 32656479048 33155595540 34225130880 35365968576 36284976720 37494475944 39295520640 40820598810 42137392320 42181285437 43541972064 44207460720 46868094930 48379968960 48984718572 49992634592 50564870784 53048952864 54427465080 56241713916 58055962752 58943280960 61230898215 62490793240 63206088480 65312958096 66311191080 70302142395 70731937152 72569953440 74988951888 81641197620 84274784640 84362570874 87083944128 88414921440 93736189860 96759937920 97969437144 99985269184 106097905728 108854930160 112483427832 117886561920 122461796430 124981586480 126412176960 126543856311 130625916192 132622382160 140604284790 145139906880 149977903776 163282395240 168725141748 174167888256 176829842880 187472379720 195938874288 199970538368 210906427185 212195811456 217709860320 224966855664 244923592860 249963172960 252824353920 253087712622 261251832384 265244764320 281208569580 290279813760 299955807552 326564790480 337450283496 353659685760 374944759440 379631568933 391877748576 421812854370 435419720640 449933711328 489847185720 499926345920 506175425244 522503664768 530489528640 562417139160 599911615104 632719281555 653129580960 674900566992 749889518880 759263137866 783755497152 843625708740 870839441280 899867422656 979694371440 999852691840 1012350850488 1060979057280 1124834278320 1265438563110 1306259161920 1349801133984 1499779037760 1518526275732 1567510994304 1687251417480 1799734845312 1898157844665 1959388742880 2024701700976 2249668556640 2530877126220 2612518323840 2699602267968 2999558075520 3037052551464 3374502834960 3796315689330 3918777485760 4049403401952 4499337113280 5061754252440 5399204535936 6074105102928 6749005669920 7592631378660 7837554971520 8098806803904 8998674226560 10123508504880 12148210205856 13498011339840 15185262757320 16197613607808 20247017009760 24296420411712 26996022679680 30370525514640 40494034019520 48592840823424 60741051029280 80988068039040 121482102058560 242964204117120
- Sum of all divisors σ(n): 903003489722880
- Sum of proper divisors (its aliquot sum) s(n): 660039285605760
- 242964204117120 is an abundant number, because the sum of its proper divisors (660039285605760) is greater than itself. Its abundance is 417075081488640
Bases of 242964204117120
- Binary: 1101110011111001100000110001010001011100100000002
- Hexadecimal: 0xDCF983145C80
- Base-36: 2E4G7PZC00
Squares and roots of 242964204117120
- 242964204117120 squared (2429642041171202) is 59031604482265551158677094400
- 242964204117120 cubed (2429642041171203) is 14342566800790263270852199285633118896128000
-
The
square root of 242964204117120 is 15587309.0723549843 -
The
cube root of 242964204117120 is 62399.4504078813
Scales and comparisons
How big is 242964204117120?- 242,964,204,117,120 seconds is equal to 7,725,510 years, 7 weeks, 6 days, 19 hours, 12 minutes.
-
To count from 1 to 242,964,204,117,120 would take you about nineteen million, three hundred thirteen thousand, seven 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 242964204117120 cubic inches would be around 5200 feet tall.
Recreational maths with 242964204117120
- 242964204117120 backwards is 021711402469242
- 242964204117120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242964204117120's digits is 45
- More coming soon!
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The information we have on file for 242964204117120 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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