242175868928000
242,175,868,928,000 is an even composite number composed of five prime numbers multiplied together.
242175868928000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixteen divisors.
Prime factorization of 242175868928000:
218 × 53 × 73 × 29 × 743
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 29 × 743)See below for interesting mathematical facts about the number 242175868928000 from the Numbermatics database.
Names of 242175868928000
- Cardinal: 242175868928000 can be written as Two hundred forty-two trillion, one hundred seventy-five billion, eight hundred sixty-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 2.42175868928 × 1014
Factors of 242175868928000
Divisors of 242175868928000
- Number of divisors d(n): 1216
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 49 50 56 58 64 70 80 98 100 112 116 125 128 140 145 160 175 196 200 203 224 232 245 250 256 280 290 320 343 350 392 400 406 448 464 490 500 512 560 580 640 686 700 725 743 784 800 812 875 896 928 980 1000 1015 1024 1120 1160 1225 1280 1372 1400 1421 1450 1486 1568 1600 1624 1715 1750 1792 1856 1960 2000 2030 2048 2240 2320 2450 2560 2744 2800 2842 2900 2972 3136 3200 3248 3430 3500 3584 3625 3712 3715 3920 4000 4060 4096 4480 4640 4900 5075 5120 5201 5488 5600 5684 5800 5944 6125 6272 6400 6496 6860 7000 7105 7168 7250 7424 7430 7840 8000 8120 8192 8575 8960 9280 9800 9947 10150 10240 10402 10976 11200 11368 11600 11888 12250 12544 12800 12992 13720 14000 14210 14336 14500 14848 14860 15680 16000 16240 16384 17150 17920 18560 18575 19600 19894 20300 20480 20804 21547 21952 22400 22736 23200 23776 24500 25088 25375 25600 25984 26005 27440 28000 28420 28672 29000 29696 29720 31360 32000 32480 32768 34300 35525 35840 36407 37120 37150 39200 39788 40600 40960 41608 42875 43094 43904 44800 45472 46400 47552 49000 49735 50176 50750 51200 51968 52010 54880 56000 56840 57344 58000 59392 59440 62720 64000 64960 65536 68600 71050 71680 72814 74240 74300 78400 79576 81200 81920 83216 85750 86188 87808 89600 90944 92800 92875 95104 98000 99470 100352 101500 102400 103936 104020 107735 109760 112000 113680 114688 116000 118784 118880 125440 128000 129920 130025 131072 137200 142100 143360 145628 148480 148600 150829 156800 159152 162400 163840 166432 171500 172376 175616 177625 179200 181888 182035 185600 185750 190208 196000 198940 200704 203000 204800 207872 208040 215470 219520 224000 227360 229376 232000 237568 237760 248675 250880 254849 256000 259840 260050 262144 274400 284200 286720 291256 296960 297200 301658 313600 318304 324800 327680 332864 343000 344752 351232 355250 358400 363776 364070 371200 371500 380416 392000 397880 401408 406000 409600 415744 416080 430940 439040 448000 454720 458752 464000 475136 475520 497350 501760 509698 512000 519680 520100 538675 548800 568400 573440 582512 593920 594400 603316 627200 636608 649600 650125 655360 665728 686000 689504 702464 710500 716800 727552 728140 742400 743000 754145 760832 784000 795760 802816 812000 819200 831488 832160 861880 878080 896000 909440 910175 917504 928000 950272 951040 994700 1003520 1019396 1024000 1039360 1040200 1055803 1077350 1097600 1136800 1146880 1165024 1187840 1188800 1206632 1243375 1254400 1273216 1274245 1299200 1300250 1310720 1331456 1372000 1379008 1404928 1421000 1433600 1455104 1456280 1484800 1486000 1508290 1521664 1568000 1591520 1605632 1624000 1638400 1662976 1664320 1723760 1756160 1792000 1818880 1820350 1835008 1856000 1900544 1902080 1989400 2007040 2038792 2048000 2078720 2080400 2111606 2154700 2195200 2273600 2293760 2330048 2375680 2377600 2413264 2486750 2508800 2546432 2548490 2598400 2600500 2662912 2693375 2744000 2758016 2809856 2842000 2867200 2910208 2912560 2969600 2972000 3016580 3043328 3136000 3183040 3211264 3248000 3276800 3325952 3328640 3447520 3512320 3584000 3637760 3640700 3712000 3770725 3801088 3804160 3978800 4014080 4077584 4096000 4157440 4160800 4223212 4309400 4390400 4547200 4550875 4587520 4660096 4751360 4755200 4826528 4973500 5017600 5092864 5096980 5196800 5201000 5279015 5325824 5386750 5488000 5516032 5619712 5684000 5734400 5820416 5825120 5939200 5944000 6033160 6086656 6272000 6366080 6371225 6422528 6496000 6553600 6651904 6657280 6895040 7024640 7168000 7275520 7281400 7390621 7424000 7541450 7602176 7608320 7957600 8028160 8155168 8192000 8314880 8321600 8446424 8618800 8780800 9094400 9101750 9175040 9320192 9502720 9510400 9653056 9947000 10035200 10185728 10193960 10393600 10402000 10558030 10651648 10773500 10976000 11032064 11239424 11368000 11468800 11640832 11650240 11878400 11888000 12066320 12173312 12544000 12732160 12742450 12845056 12992000 13303808 13314560 13790080 14049280 14336000 14551040 14562800 14781242 14848000 15082900 15216640 15915200 16056320 16310336 16384000 16629760 16643200 16892848 17237600 17561600 18188800 18203500 18640384 18853625 19005440 19020800 19306112 19894000 20070400 20371456 20387920 20787200 20804000 21116060 21303296 21547000 21952000 22064128 22478848 22736000 22937600 23281664 23300480 23756800 23776000 24132640 24346624 25088000 25464320 25484900 25984000 26395075 26607616 26629120 27580160 28098560 28672000 29102080 29125600 29562484 29696000 30165800 30433280 31830400 31856125 32112640 32620672 32768000 33259520 33286400 33785696 34475200 35123200 36377600 36407000 36953105 37280768 37707250 38010880 38041600 38612224 39788000 40140800 40742912 40775840 41574400 41608000 42232120 42606592 43094000 43904000 44128256 44957696 45472000 45875200 46563328 46600960 47513600 47552000 48265280 48693248 50176000 50928640 50969800 51968000 52790150 53215232 53258240 55160320 56197120 57344000 58204160 58251200 59124968 59392000 60331600 60866560 63660800 63712250 64225280 65241344 66519040 66572800 67571392 68950400 70246400 72755200 72814000 73906210 74561536 75414500 76083200 77224448 79576000 80281600 81485824 81551680 83148800 83216000 84464240 85213184 86188000 87808000 88256512 89915392 90944000 93126656 93201920 95027200 95104000 96530560 97386496 100352000 101857280 101939600 103936000 105580300 106516480 110320640 112394240 114688000 116408320 116502400 118249936 118784000 120663200 121733120 127321600 127424500 130482688 131975375 133038080 133145600 135142784 137900800 140492800 145510400 145628000 147812420 149123072 150829000 152166400 154448896 159152000 160563200 162971648 163103360 166297600 166432000 168928480 170426368 172376000 175616000 176513024 181888000 184765525 186253312 186403840 190054400 190208000 193061120 194772992 200704000 203714560 203879200 207872000 211160600 213032960 220641280 224788480 229376000 232816640 233004800 236499872 237568000 241326400 243466240 254643200 254849000 260965376 263950750 266076160 266291200 270285568 275801600 280985600 291020800 291256000 295624840 298246144 301658000 304332800 308897792 318304000 321126400 325943296 326206720 332595200 332864000 337856960 340852736 344752000 351232000 353026048 363776000 369531050 372506624 372807680 380416000 386122240 401408000 407429120 407758400 415744000 422321200 426065920 441282560 449576960 465633280 466009600 472999744 475136000 482652800 486932480 509286400 509698000 521930752 527901500 532582400 540571136 551603200 561971200 582041600 582512000 591249680 596492288 603316000 608665600 617795584 636608000 651886592 652413440 665190400 665728000 675713920 681705472 689504000 702464000 706052096 727552000 739062100 745615360 760832000 772244480 802816000 814858240 815516800 831488000 844642400 852131840 882565120 923827625 931266560 932019200 945999488 950272000 965305600 973864960 1018572800 1019396000 1043861504 1055803000 1065164800 1081142272 1103206400 1123942400 1164083200 1165024000 1182499360 1192984576 1206632000 1217331200 1235591168 1273216000 1303773184 1304826880 1330380800 1331456000 1351427840 1363410944 1379008000 1404928000 1412104192 1455104000 1478124200 1491230720 1521664000 1544488960 1605632000 1629716480 1631033600 1662976000 1689284800 1704263680 1765130240 1847655250 1862533120 1864038400 1891998976 1930611200 2037145600 2038792000 2087723008 2111606000 2130329600 2162284544 2206412800 2247884800 2328166400 2330048000 2364998720 2385969152 2413264000 2434662400 2471182336 2546432000 2607546368 2609653760 2662912000 2702855680 2758016000 2809856000 2824208384 2910208000 2956248400 2982461440 3043328000 3088977920 3259432960 3262067200 3325952000 3378569600 3408527360 3530260480 3695310500 3728076800 3783997952 3861222400 4074291200 4077584000 4175446016 4223212000 4260659200 4324569088 4412825600 4656332800 4660096000 4729997440 4771938304 4826528000 4869324800 4942364672 5092864000 5219307520 5325824000 5405711360 5516032000 5619712000 5648416768 5820416000 5912496800 5964922880 6086656000 6177955840 6518865920 6524134400 6651904000 6757139200 6817054720 7060520960 7390621000 7456153600 7567995904 7722444800 8148582400 8155168000 8350892032 8446424000 8521318400 8649138176 8825651200 9312665600 9320192000 9459994880 9543876608 9653056000 9884729344 10185728000 10438615040 10651648000 10811422720 11032064000 11239424000 11640832000 11824993600 11929845760 12173312000 12355911680 13037731840 13048268800 13514278400 14121041920 14781242000 14912307200 15135991808 15444889600 16297164800 16310336000 16701784064 16892848000 17042636800 17298276352 17651302400 18640384000 18919989760 19306112000 19769458688 20371456000 20877230080 21303296000 21622845440 22064128000 23281664000 23649987200 23859691520 24346624000 24711823360 26096537600 27028556800 28242083840 29562484000 29824614400 30271983616 30889779200 32594329600 32620672000 33403568128 33785696000 34085273600 34596552704 35302604800 37280768000 37839979520 38612224000 39538917376 40742912000 41754460160 42606592000 43245690880 44128256000 46563328000 47299974400 47719383040 49423646720 52193075200 54057113600 59124968000 59649228800 60543967232 61779558400 65188659200 65241344000 66807136256 67571392000 69193105408 70605209600 74561536000 75679959040 77224448000 81485824000 83508920320 85213184000 86491381760 88256512000 94599948800 98847293440 104386150400 108114227200 118249936000 119298457600 121087934464 123559116800 130482688000 135142784000 138386210816 141210419200 149123072000 151359918080 154448896000 162971648000 167017840640 170426368000 172982763520 176513024000 189199897600 197694586880 208772300800 216228454400 236499872000 238596915200 242175868928 247118233600 260965376000 270285568000 276772421632 298246144000 302719836160 308897792000 325943296000 334035681280 345965527040 353026048000 378399795200 417544601600 432456908800 472999744000 484351737856 494236467200 521930752000 540571136000 596492288000 605439672320 617795584000 691931054080 706052096000 756799590400 835089203200 864913817600 945999488000 968703475712 988472934400 1043861504000 1081142272000 1192984576000 1210879344640 1235591168000 1383862108160 1513599180800 1670178406400 1729827635200 1891998976000 1937406951424 2087723008000 2162284544000 2421758689280 2471182336000 3027198361600 3459655270400 3783997952000 4175446016000 4324569088000 4843517378560 4942364672000 6054396723200 6919310540800 7567995904000 8350892032000 8649138176000 9687034757120 12108793446400 15135991808000 17298276352000 24217586892800 30271983616000 34596552704000 48435173785600 60543967232000 121087934464000 242175868928000
- Sum of all divisors σ(n): 730210156416000
- Sum of proper divisors (its aliquot sum) s(n): 488034287488000
- 242175868928000 is an abundant number, because the sum of its proper divisors (488034287488000) is greater than itself. Its abundance is 245858418560000
Bases of 242175868928000
- Binary: 1101110001000001111101101010010000000000000000002
- Hexadecimal: 0xDC41F6A40000
- Base-36: 2DUE23KB28
Squares and roots of 242175868928000
- 242175868928000 squared (2421758689280002) is 58649151491031835869184000000
- 242175868928000 cubed (2421758689280003) is 14203409224230541650930713338314752000000000
-
The
square root of 242175868928000 is 15562000.8009253103 -
The
cube root of 242175868928000 is 62331.8890398923
Scales and comparisons
How big is 242175868928000?- 242,175,868,928,000 seconds is equal to 7,700,443 years, 27 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
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To count from 1 to 242,175,868,928,000 would take you about nineteen million, two hundred fifty-one thousand, one hundred eight 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 242175868928000 cubic inches would be around 5194.3 feet tall.
Recreational maths with 242175868928000
- 242175868928000 backwards is 000829868571242
- The number of decimal digits it has is: 15
- The sum of 242175868928000's digits is 62
- More coming soon!
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The information we have on file for 242175868928000 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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