242105493427200
242,105,493,427,200 is an even composite number composed of seven prime numbers multiplied together.
242105493427200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 242105493427200:
210 × 32 × 52 × 13 × 61 × 181 × 7321
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 61 × 181 × 7321)See below for interesting mathematical facts about the number 242105493427200 from the Numbermatics database.
Names of 242105493427200
- Cardinal: 242105493427200 can be written as Two hundred forty-two trillion, one hundred five billion, four hundred ninety-three million, four hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 2.421054934272 × 1014
Factors of 242105493427200
Divisors of 242105493427200
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 61 64 65 72 75 78 80 90 96 100 104 117 120 122 128 130 144 150 156 160 180 181 183 192 195 200 208 225 234 240 244 256 260 288 300 305 312 320 325 360 362 366 384 390 400 416 450 468 480 488 512 520 543 549 576 585 600 610 624 640 650 720 724 732 768 780 793 800 832 900 905 915 936 960 975 976 1024 1040 1086 1098 1152 1170 1200 1220 1248 1280 1300 1440 1448 1464 1525 1536 1560 1586 1600 1629 1664 1800 1810 1830 1872 1920 1950 1952 2080 2172 2196 2304 2340 2353 2379 2400 2440 2496 2560 2600 2715 2745 2880 2896 2925 2928 3050 3072 3120 3172 3200 3258 3328 3600 3620 3660 3744 3840 3900 3904 3965 4160 4344 4392 4525 4575 4608 4680 4706 4758 4800 4880 4992 5120 5200 5430 5490 5760 5792 5850 5856 6100 6240 6344 6400 6516 6656 7059 7137 7200 7240 7320 7321 7488 7680 7800 7808 7930 8145 8320 8688 8784 9050 9150 9216 9360 9412 9516 9600 9760 9984 10400 10860 10980 11041 11520 11584 11700 11712 11765 11895 12200 12480 12688 12800 13032 13312 13575 13725 14118 14274 14400 14480 14640 14642 14976 15360 15600 15616 15860 16290 16640 17376 17568 18100 18300 18720 18824 19032 19200 19520 19825 19968 20800 21177 21720 21960 21963 22082 23040 23168 23400 23424 23530 23790 24400 24960 25376 25600 26064 27150 27450 28236 28548 28800 28960 29280 29284 29952 31200 31232 31720 32580 33123 33280 34752 35136 35295 35685 36200 36600 36605 37440 37648 38064 38400 39040 39650 39936 40725 41600 42354 43440 43920 43926 44164 46080 46336 46800 46848 47060 47580 48800 49920 50752 52128 54300 54900 55205 56472 57096 57600 57920 58560 58568 58825 59475 59904 62400 62464 63440 65160 65889 66246 66560 69504 70272 70590 71370 72400 73200 73210 74880 75296 76128 76800 78080 79300 81450 83200 84708 86880 87840 87852 88328 92672 93600 93696 94120 95160 95173 97600 99369 99840 101504 104256 105885 108600 109800 109815 110410 112944 114192 115200 115840 117120 117136 117650 118950 119808 124800 126880 130320 131778 132492 139008 140544 141180 142740 143533 144800 146400 146420 149760 150592 152256 156160 158600 162900 165615 166400 169416 173760 175680 175704 176475 176656 178425 183025 185344 187200 187392 188240 190320 190346 195200 198738 199680 203008 208512 211770 217200 219600 219630 220820 225888 228384 230400 231680 234240 234272 235300 237900 249600 253760 260640 263556 264984 276025 278016 281088 282360 285480 285519 287066 289600 292800 292840 299520 301184 304512 312320 317200 325800 329445 331230 332800 338832 347520 351360 351408 352950 353312 356850 366050 374400 376480 380640 380692 390400 397476 406016 417024 423540 430599 434400 439200 439260 441640 446581 451776 456768 463360 468480 468544 470600 475800 475865 496845 499200 507520 521280 527112 529425 529968 549075 552050 556032 562176 564720 570960 571038 574132 579200 585600 585680 599040 602368 609024 634400 651600 658890 662460 677664 695040 702720 702816 705900 706624 713700 717665 732100 748800 752960 761280 761384 780800 794952 812032 828075 834048 847080 856557 861198 868800 878400 878520 883280 893162 903552 913536 926720 936960 937088 941200 951600 951730 993690 998400 1015040 1042560 1054224 1058850 1059936 1098150 1104100 1129440 1141920 1142076 1148264 1158400 1171200 1171360 1204736 1218048 1268800 1291797 1303200 1317780 1324920 1325101 1339743 1355328 1390080 1405440 1405632 1411800 1413248 1427400 1427595 1435330 1464200 1497600 1505920 1522560 1522768 1561600 1589904 1647225 1656150 1668096 1694160 1713114 1722396 1737600 1756800 1757040 1766560 1786324 1807104 1827072 1874176 1882400 1903200 1903460 1987380 2030080 2085120 2108448 2117700 2119872 2152995 2196300 2208200 2232905 2258880 2283840 2284152 2296528 2316800 2342400 2342720 2379325 2409472 2436096 2484225 2537600 2583594 2606400 2635560 2649840 2650202 2679486 2710656 2780160 2810880 2811264 2823600 2826496 2854800 2855190 2870660 2928400 2995200 3011840 3045120 3045536 3179808 3294450 3312300 3388320 3426228 3444792 3475200 3513600 3514080 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165350016 168675840 169589760 169612928 171311400 171487104 172239600 172263130 174166590 178632400 180710400 182707200 182732160 183722240 185777696 187417600 190814544 198765150 200961450 206687520 206715756 208999908 210844800 211987200 212016160 214358880 219278592 220466688 228415200 228649472 229652800 232222120 238518180 242493483 243642880 254384640 254419392 257230656 258359400 258394695 261249885 265020200 267948600 271065600 274098240 275583360 275621008 278666544 281126400 282649600 285811840 290277650 292371456 298147725 304553600 310073634 317980800 318024240 321538320 323324644 330700032 337351680 339225856 342622800 342974208 344479200 344526260 348333180 357264800 365464320 367444480 371555392 381629088 397530300 401922900 404155805 413375040 413431512 417999816 421689600 423974400 424032320 428717760 430657825 435416475 438557184 440933376 456830400 457298944 459305600 464444240 477036360 484986966 487285760 508769280 508838784 514461312 516718800 516789390 522499770 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6304830558 6360484800 6430766400 6466492880 6614000640 6614904192 6687997056 6784517120 6859484160 6890525200 6966663600 7274804490 7309286400 7431107840 7632581760 7751840850 7759791456 8083116100 8267500800 8268630240 8359996320 8406440744 8480646400 8574355200 8819872256 8917329408 9288884800 9457245837 9540727200 9699739320 9922356288 10176775680 10289226240 10335787800 10346388608 10449995400 10508050930 10963929600 11023334400 11024840320 11146661760 11432473600 11639687184 12124674150 12212130816 12402945360 12609661116 12720969600 12861532800 12932985760 13229808384 13375994112 13781050400 13933327200 14549608980 14862215680 15265163520 15503681700 15519582912 15762076395 16166232200 16535001600 16537260480 16719992640 16812881488 16961292800 17148710400 17639744512 17834658816 18187011225 18577769600 18914491674 19081454400 19399478640 19844712576 20353551360 20578452480 20671575600 20692777216 20899990800 21016101860 21927859200 22049680640 22293323520 23279374368 24249348300 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124029453600 124156663296 126096611160 129329857600 132298083840 133759941120 134503051904 145496089800 148622156800 151315933392 152651635200 155195829120 157620763950 158757700608 165372604800 167199926400 168128814880 186234994944 189144916740 193994786400 198447125760 201754577856 206927772160 210161018600 220496806400 222933235200 232793743680 236431145925 248058907200 248313326592 252193222320 258659715200 264596167680 267519882240 269006103808 290992179600 302631866784 305303270400 310391658240 315241527900 330745209600 334399852800 336257629760 372469989888 378289833480 387989572800 396894251520 403509155712 413855544320 420322037200 440993612800 445866470400 465587487360 472862291850 496117814400 504386444640 517319430400 538012207616 581984359200 605263733568 620783316480 630483055800 661490419200 668799705600 672515259520 744939979776 756579666960 775979145600 793788503040 807018311424 840644074400 931174974720 945724583700 992235628800 1008772889280 1034638860800 1076024415232 1163968718400 1210527467136 1241566632960 1260966111600 1322980838400 1337599411200 1345030519040 1513159333920 1551958291200 1614036622848 1681288148800 1862349949440 1891449167400 1984471257600 2017545778560 2069277721600 2327937436800 2421054934272 2521932223200 2690061038080 3026318667840 3103916582400 3228073245696 3362576297600 3724699898880 3782898334800 3968942515200 4035091557120 4655874873600 4842109868544 5043864446400 5380122076160 6052637335680 6207833164800 6725152595200 7565796669600 8070183114240 9311749747200 9684219737088 10087728892800 12105274671360 13450305190400 15131593339200 16140366228480 18623499494400 20175457785600 24210549342720 26900610380800 30263186678400 40350915571200 48421098685440 60526373356800 80701831142400 121052746713600 242105493427200
- Sum of all divisors σ(n): 954209479083952
- Sum of proper divisors (its aliquot sum) s(n): 712103985656752
- 242105493427200 is an abundant number, because the sum of its proper divisors (712103985656752) is greater than itself. Its abundance is 469998492229552
Bases of 242105493427200
- Binary: 1101110000110001100100111110111100010100000000002
- Hexadecimal: 0xDC3193EF1400
- Base-36: 2DTHQ7T340
Squares and roots of 242105493427200
- 242105493427200 squared (2421054934272002) is 58615069947627982401699840000
- 242105493427200 cubed (2421054934272003) is 14191030431940314741585537883227291648000000
-
The
square root of 242105493427200 is 15559739.5038348891 -
The
cube root of 242105493427200 is 62325.8506418345
Scales and comparisons
How big is 242105493427200?- 242,105,493,427,200 seconds is equal to 7,698,205 years, 42 weeks, 16 hours.
-
To count from 1 to 242,105,493,427,200 would take you about nineteen million, two hundred forty-five thousand, five hundred fourteen 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 242105493427200 cubic inches would be around 5193.8 feet tall.
Recreational maths with 242105493427200
- 242105493427200 backwards is 002724394501242
- 242105493427200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242105493427200's digits is 45
- More coming soon!
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MLA style:
"Number 242105493427200 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 242105493427200 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/242105493427200/
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The information we have on file for 242105493427200 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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