242812243148800
242,812,243,148,800 is an even composite number composed of five prime numbers multiplied together.
242812243148800 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 242812243148800:
223 × 52 × 133 × 17 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 17 × 31)See below for interesting mathematical facts about the number 242812243148800 from the Numbermatics database.
Names of 242812243148800
- Cardinal: 242812243148800 can be written as Two hundred forty-two trillion, eight hundred twelve billion, two hundred forty-three million, one hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.428122431488 × 1014
Factors of 242812243148800
Divisors of 242812243148800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 40 50 52 62 64 65 68 80 85 100 104 124 128 130 136 155 160 169 170 200 208 221 248 256 260 272 310 320 325 338 340 400 403 416 425 442 496 512 520 527 544 620 640 650 676 680 775 800 806 832 845 850 884 992 1024 1040 1054 1088 1105 1240 1280 1300 1352 1360 1550 1600 1612 1664 1690 1700 1768 1984 2015 2048 2080 2108 2176 2197 2210 2480 2560 2600 2635 2704 2720 2873 3100 3200 3224 3328 3380 3400 3536 3968 4030 4096 4160 4216 4225 4352 4394 4420 4960 5120 5200 5239 5270 5408 5440 5525 5746 6200 6400 6448 6656 6760 6800 6851 7072 7936 8060 8192 8320 8432 8450 8704 8788 8840 9920 10075 10240 10400 10478 10540 10816 10880 10985 11050 11492 12400 12800 12896 13175 13312 13520 13600 13702 14144 14365 15872 16120 16384 16640 16864 16900 17408 17576 17680 19840 20150 20480 20800 20956 21080 21632 21760 21970 22100 22984 24800 25600 25792 26195 26350 26624 27040 27200 27404 28288 28730 31744 32240 32768 33280 33728 33800 34255 34816 35152 35360 37349 39680 40300 40960 41600 41912 42160 43264 43520 43940 44200 45968 49600 51200 51584 52390 52700 53248 54080 54400 54808 54925 56576 57460 63488 64480 65536 66560 67456 67600 68107 68510 69632 70304 70720 71825 74698 79360 80600 81920 83200 83824 84320 86528 87040 87880 88400 89063 91936 99200 102400 103168 104780 105400 106496 108160 108800 109616 109850 113152 114920 126976 128960 130975 131072 133120 134912 135200 136214 137020 139264 140608 141440 143650 149396 158720 161200 163840 166400 167648 168640 171275 173056 174080 175760 176800 178126 183872 186745 198400 204800 206336 209560 210800 212992 216320 217600 219232 219700 226304 229840 253952 257920 261950 262144 266240 269824 270400 272428 274040 278528 281216 282880 287300 298792 317440 322400 327680 332800 335296 337280 340535 342550 346112 348160 351520 353600 356252 367744 373490 396800 409600 412672 419120 421600 425984 432640 435200 438464 439400 445315 452608 459680 507904 515840 523900 524288 532480 539648 540800 544856 548080 557056 562432 565760 574600 597584 634880 644800 655360 665600 670592 674560 681070 685100 692224 696320 703040 707200 712504 735488 746980 793600 819200 825344 838240 843200 851968 865280 870400 876928 878800 890630 905216 919360 933725 1015808 1031680 1047800 1048576 1064960 1079296 1081600 1089712 1096160 1114112 1124864 1131520 1149200 1157819 1195168 1269760 1289600 1310720 1331200 1341184 1349120 1362140 1370200 1384448 1392640 1406080 1414400 1425008 1470976 1493960 1587200 1638400 1650688 1676480 1686400 1702675 1703936 1730560 1740800 1753856 1757600 1781260 1810432 1838720 1867450 2031616 2063360 2095600 2097152 2129920 2158592 2163200 2179424 2192320 2226575 2228224 2249728 2263040 2298400 2315638 2390336 2539520 2579200 2621440 2662400 2682368 2698240 2724280 2740400 2768896 2785280 2812160 2828800 2850016 2941952 2987920 3174400 3276800 3301376 3352960 3372800 3405350 3407872 3461120 3481600 3507712 3515200 3562520 3620864 3677440 3734900 4063232 4126720 4191200 4194304 4259840 4317184 4326400 4358848 4384640 4453150 4456448 4499456 4526080 4596800 4631276 4780672 5079040 5158400 5242880 5324800 5364736 5396480 5448560 5480800 5537792 5570560 5624320 5657600 5700032 5789095 5883904 5975840 6348800 6553600 6602752 6705920 6745600 6810700 6815744 6922240 6963200 7015424 7030400 7125040 7241728 7354880 7469800 8126464 8253440 8382400 8388608 8519680 8634368 8652800 8717696 8769280 8906300 8912896 8998912 9052160 9193600 9262552 9561344 10158080 10316800 10485760 10649600 10729472 10792960 10897120 10961600 11075584 11141120 11248640 11315200 11400064 11578190 11767808 11951680 12697600 13107200 13205504 13411840 13491200 13621400 13631488 13844480 13926400 14030848 14060800 14250080 14483456 14709760 14939600 16252928 16506880 16764800 17039360 17268736 17305600 17435392 17538560 17812600 17825792 17997824 18104320 18387200 18525104 19122688 20316160 20633600 20971520 21299200 21458944 21585920 21794240 21923200 22151168 22282240 22497280 22630400 22800128 23156380 23535616 23903360 25395200 26214400 26411008 26823680 26982400 27242800 27262976 27688960 27852800 28061696 28121600 28500160 28945475 28966912 29419520 29879200 32505856 33013760 33529600 34078720 34537472 34611200 34870784 35077120 35625200 35651584 35995648 36208640 36774400 37050208 38245376 40632320 41267200 41943040 42598400 42917888 43171840 43588480 43846400 44302336 44564480 44994560 45260800 45600256 46312760 47071232 47806720 50790400 52428800 52822016 53647360 53964800 54485600 54525952 55377920 55705600 56123392 56243200 57000320 57890950 57933824 58839040 59758400 65011712 66027520 67059200 68157440 69074944 69222400 69741568 70154240 71250400 71303168 71991296 72417280 73548800 74100416 76490752 81264640 82534400 85196800 85835776 86343680 87176960 87692800 88604672 89128960 89989120 90521600 91200512 92625520 94142464 95613440 101580800 104857600 105644032 107294720 107929600 108971200 109051904 110755840 111411200 112246784 112486400 114000640 115781900 115867648 117678080 119516800 130023424 132055040 134118400 136314880 138149888 138444800 139483136 140308480 142500800 142606336 143982592 144834560 147097600 148200832 152981504 162529280 165068800 170393600 171671552 172687360 174353920 175385600 177209344 178257920 179978240 181043200 182401024 185251040 188284928 191226880 203161600 209715200 211288064 214589440 215859200 217942400 221511680 222822400 224493568 224972800 228001280 231563800 231735296 235356160 239033600 260046848 264110080 268236800 272629760 276299776 276889600 278966272 280616960 285001600 287965184 289669120 294195200 296401664 305963008 325058560 330137600 340787200 343343104 345374720 348707840 350771200 354418688 356515840 359956480 362086400 364802048 370502080 376569856 382453760 406323200 422576128 429178880 431718400 435884800 443023360 445644800 448987136 449945600 456002560 463127600 463470592 470712320 478067200 528220160 536473600 545259520 552599552 553779200 557932544 561233920 570003200 575930368 579338240 588390400 592803328 611926016 650117120 660275200 681574400 686686208 690749440 697415680 701542400 708837376 713031680 719912960 724172800 729604096 741004160 753139712 764907520 812646400 845152256 858357760 863436800 871769600 886046720 891289600 897974272 899891200 912005120 926255200 926941184 941424640 956134400 1056440320 1072947200 1105199104 1107558400 1115865088 1122467840 1140006400 1151860736 1158676480 1176780800 1185606656 1223852032 1300234240 1320550400 1363148800 1373372416 1381498880 1394831360 1403084800 1417674752 1439825920 1448345600 1459208192 1482008320 1506279424 1529815040 1625292800 1690304512 1716715520 1726873600 1743539200 1772093440 1782579200 1795948544 1799782400 1824010240 1852510400 1853882368 1882849280 1912268800 2112880640 2145894400 2210398208 2215116800 2231730176 2244935680 2280012800 2303721472 2317352960 2353561600 2371213312 2447704064 2641100800 2726297600 2746744832 2762997760 2789662720 2806169600 2879651840 2896691200 2918416384 2964016640 3012558848 3059630080 3250585600 3380609024 3433431040 3453747200 3487078400 3544186880 3565158400 3591897088 3599564800 3648020480 3705020800 3765698560 3824537600 4225761280 4291788800 4420796416 4430233600 4463460352 4489871360 4560025600 4607442944 4634705920 4707123200 4742426624 4895408128 5282201600 5493489664 5525995520 5579325440 5612339200 5759303680 5793382400 5836832768 5928033280 6025117696 6119260160 6501171200 6866862080 6907494400 6974156800 7088373760 7183794176 7199129600 7296040960 7410041600 7531397120 7649075200 8451522560 8583577600 8860467200 8926920704 8979742720 9120051200 9214885888 9269411840 9414246400 9484853248 9790816256 10564403200 10986979328 11051991040 11158650880 11224678400 11518607360 11586764800 11673665536 11856066560 12050235392 12238520320 13733724160 13814988800 13948313600 14367588352 14398259200 14592081920 14820083200 15062794240 15298150400 16903045120 17167155200 17720934400 17853841408 17959485440 18240102400 18429771776 18828492800 18969706496 19581632512 21128806400 21973958656 22103982080 22317301760 22449356800 23037214720 23173529600 23347331072 23712133120 24100470784 24477040640 27467448320 27629977600 27896627200 28735176704 28796518400 29184163840 29640166400 30125588480 30596300800 34334310400 35441868800 35707682816 35918970880 36480204800 37656985600 37939412992 39163265024 42257612800 43947917312 44634603520 44898713600 46074429440 46347059200 46694662144 47424266240 48954081280 54934896640 55259955200 55793254400 57470353408 57593036800 58368327680 59280332800 60251176960 61192601600 68668620800 71415365632 71837941760 72960409600 75313971200 75878825984 78326530048 84515225600 89269207040 89797427200 92148858880 93389324288 94848532480 97908162560 109869793280 110519910400 111586508800 115186073600 116736655360 118560665600 120502353920 122385203200 137337241600 142830731264 143675883520 145920819200 150627942400 151757651968 156653060096 178538414080 179594854400 186778648576 189697064960 195816325120 219739586560 223173017600 230372147200 233473310720 237121331200 244770406400 274674483200 285661462528 287351767040 291841638400 301255884800 303515303936 313306120192 357076828160 359189708800 373557297152 379394129920 391632650240 446346035200 460744294400 466946621440 474242662400 489540812800 549348966400 571322925056 583683276800 602511769600 607030607872 714153656320 718379417600 747114594304 758788259840 783265300480 892692070400 933893242880 948485324800 979081625600 1098697932800 1167366553600 1214061215744 1428307312640 1436758835200 1517576519680 1566530600960 1785384140800 1867786485760 1896970649600 1958163251200 2334733107200 2428122431488 2856614625280 3035153039360 3570768281600 3735572971520 3793941299200 3916326502400 4669466214400 4856244862976 6070306078720 7141536563200 7587882598400 7832653004800 9338932428800 9712489725952 12140612157440 14283073126400 15175765196800 18677864857600 24281224314880 30351530393600 48562448629760 60703060787200 121406121574400 242812243148800
- Sum of all divisors σ(n): 712986003475200
- Sum of proper divisors (its aliquot sum) s(n): 470173760326400
- 242812243148800 is an abundant number, because the sum of its proper divisors (470173760326400) is greater than itself. Its abundance is 227361517177600
Bases of 242812243148800
- Binary: 1101110011010110001000011000000000000000000000002
- Hexadecimal: 0xDCD621800000
- Base-36: 2E2IEKCEF4
Squares and roots of 242812243148800
- 242812243148800 squared (2428122431488002) is 58957785422951972538941440000
- 242812243148800 cubed (2428122431488003) is 14315672129632590604390029405844406272000000
-
The
square root of 242812243148800 is 15582433.8005588845 -
The
cube root of 242812243148800 is 62386.4385343657
Scales and comparisons
How big is 242812243148800?- 242,812,243,148,800 seconds is equal to 7,720,678 years, 13 weeks, 5 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 242,812,243,148,800 would take you about nineteen million, three hundred one thousand, six hundred ninety-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 242812243148800 cubic inches would be around 5198.9 feet tall.
Recreational maths with 242812243148800
- 242812243148800 backwards is 008841342218242
- The number of decimal digits it has is: 15
- The sum of 242812243148800's digits is 49
- 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 242812243148800 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 242812243148800 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/242812243148800/
Chicago style:
Numbermatics. 2024. "Number 242812243148800 - Facts about the integer". https://numbermatics.com/n/242812243148800/
The information we have on file for 242812243148800 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 242812243148800, math, Factors of 242812243148800, curriculum, school, college, exams, university, Prime factorization of 242812243148800, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, eight hundred twelve billion, two hundred forty-three million, one hundred forty-eight thousand, eight hundred.