242008208478400
242,008,208,478,400 is an even composite number composed of seven prime numbers multiplied together.
242008208478400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 242008208478400:
26 × 52 × 7 × 132 × 23 × 532 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 23 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 242008208478400 from the Numbermatics database.
Names of 242008208478400
- Cardinal: 242008208478400 can be written as Two hundred forty-two trillion, eight billion, two hundred eight million, four hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.420082084784 × 1014
Factors of 242008208478400
Divisors of 242008208478400
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 25 26 28 32 35 40 46 50 52 53 56 64 65 70 80 91 92 100 104 106 112 115 130 140 160 161 169 175 182 184 200 208 212 224 230 260 265 280 299 320 322 325 338 350 364 368 371 400 416 424 448 455 460 520 530 560 575 598 644 650 676 689 700 728 736 742 800 805 832 845 848 910 920 1040 1060 1120 1150 1183 1196 1219 1288 1300 1325 1352 1378 1400 1456 1472 1484 1495 1600 1610 1690 1696 1820 1840 1855 1979 2080 2093 2120 2240 2275 2300 2366 2392 2438 2576 2600 2650 2704 2756 2800 2809 2912 2968 2990 3220 3380 3392 3445 3640 3680 3710 3887 3958 4025 4160 4186 4225 4240 4550 4600 4732 4784 4823 4876 5152 5200 5300 5408 5512 5600 5618 5824 5915 5936 5980 6095 6440 6760 6890 7280 7360 7420 7475 7774 7916 8050 8372 8450 8480 8533 8957 9100 9200 9275 9464 9568 9646 9752 9895 10304 10400 10465 10600 10816 11024 11200 11236 11830 11872 11960 12190 12880 13520 13780 13853 14045 14560 14840 14950 15548 15832 15847 16100 16744 16900 16960 17066 17225 17914 18200 18400 18550 18928 19136 19292 19435 19504 19663 19790 20800 20930 21200 22048 22472 23660 23744 23920 24115 24380 25727 25760 27040 27209 27560 27706 28090 29120 29575 29680 29900 30475 31096 31664 31694 32200 33488 33800 34132 34450 35828 36400 36517 36800 37100 37856 38584 38870 39008 39326 39580 41860 42400 42665 44096 44785 44944 45517 47320 47840 48230 48760 49475 51454 51520 52325 54080 54418 55120 55412 56180 59150 59360 59800 60950 62192 62699 63328 63388 64400 64607 66976 67600 68264 68900 69265 70225 71656 72800 73034 74200 75712 77168 77740 78016 78652 79160 79235 83720 84800 85330 89570 89888 91034 94640 95680 96460 97175 97520 98315 98950 102908 104650 104887 108836 110240 110824 110929 112360 118300 118720 119600 120575 121900 124384 125398 126656 126776 128635 128800 129214 133952 135200 136045 136528 137800 138530 140450 143312 145600 146068 148400 154336 155480 157304 158320 158470 167440 170660 179140 179776 180089 182068 182585 189280 192920 194350 195040 196630 197900 205816 206011 209300 209774 213325 217672 220480 221648 221858 223925 224720 227585 236600 239200 241150 243800 248768 250796 253552 255619 257270 257600 258428 270400 272090 273056 275600 277060 280900 286624 292136 296800 308672 310960 313495 314608 316640 316940 318619 323035 334451 334880 341320 346325 358280 360178 364136 365170 378560 385840 388700 390080 393260 395800 396175 411632 412022 418600 419548 426650 435344 443296 443716 447850 449440 452249 455170 473200 474721 478400 482300 487600 491575 501592 507104 511238 514540 516856 524435 544180 546112 551200 554120 554645 561800 573248 584272 591721 593600 621920 626990 629216 633280 633880 637238 643175 646070 668902 669760 680225 682640 692650 716560 720356 728272 730340 734209 771680 777400 786520 791600 792350 823264 824044 837200 839096 839891 853300 870688 886592 887432 895700 898880 900445 904498 910340 912925 946400 949442 964600 975200 983150 1003184 1014208 1022476 1029080 1030055 1033712 1048870 1088360 1102400 1108240 1109290 1123600 1137925 1168544 1183442 1243840 1253980 1258432 1267760 1274476 1278095 1286350 1292140 1337804 1360450 1363531 1365280 1385300 1433120 1440712 1442077 1456544 1460680 1468418 1543360 1554800 1567475 1573040 1583200 1584700 1593095 1615175 1646528 1648088 1672255 1674400 1678192 1679782 1706600 1741376 1774864 1791400 1800890 1808996 1820680 1825850 1892800 1898884 1929200 1950400 1966300 2006368 2044952 2058160 2060110 2067424 2097740 2176720 2216480 2218580 2247200 2261245 2275850 2337088 2341157 2366884 2373605 2412401 2507960 2535520 2548952 2556190 2572700 2584280 2622175 2675608 2720900 2727062 2730560 2770600 2773225 2866240 2881424 2884154 2913088 2921360 2936836 2958605 3109600 3134950 3146080 3166400 3169400 3186190 3230350 3296176 3323047 3344510 3348800 3356384 3359564 3413200 3549728 3582800 3601780 3617992 3641360 3651700 3671045 3797768 3858400 3932600 4012736 4089904 4116320 4120220 4134848 4142047 4195480 4199455 4353440 4432960 4437160 4494400 4502225 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167978200 168868070 174697328 177259030 177486400 177888352 180899600 187292560 188135584 189350720 189888400 190894340 192309325 192992080 194565385 204495200 207102350 212675008 215386444 218164960 218371660 219528491 222360440 230732320 234115700 234946880 235169480 236688400 238617925 241240100 246155936 248162642 250889704 254895200 255714506 265091008 265843760 267560800 268765120 269233055 270188912 272706200 272964575 277950550 283614448 288142400 288415400 289068572 293683600 293961850 305430944 305720324 307694920 311304616 313612130 329617600 331363760 332304700 335956400 337736140 349394656 354518060 355776704 361335715 361799200 374585120 376271168 379776800 381788680 382150405 384618650 385984160 389130770 407695769 408990400 414204700 422170175 430772888 436329920 436743320 439056982 443147575 444720880 461464640 468231400 470338960 473376800 477235850 482480200 492311872 496325284 501779408 505870001 509790400 511429012 531687520 535121600 538466110 540377824 545412400 545929150 555901100 567228896 576830800 578137144 587367200 587923700 610861888 611440648 615389840 620406605 622609232 627224260 639286265 662727520 664609400 671912800 675472280 698789312 709036120 722671430 723598400 749170240 759553600 763577360 764300810 769237300 771968320 778261540 784030325 815391538 828409400 844340350 861545776 873486640 878113964 886295150 889441760 895000771 936462800 939472859 940677920 946753600 954471700 964960400 972826925 992650568 1003558816 1011740002 1022858024 1063375040 1076932220 1080755648 1090824800 1091858300 1097642455 1111802200 1134457792 1153661600 1156274288 1174734400 1175847400 1222881296 1230779680 1240813210 1245218464 1254448520 1278572530 1325455040 1329218800 1343825600 1346165275 1350944560 1418072240 1445342860 1527154720 1528601620 1538474600 1556523080 1568060650 1630783076 1656818800 1662144289 1688680700 1723091552 1746973280 1756227928 1772590300 1778883520 1790001542 1806678575 1872925600 1878945718 1881355840 1908943400 1910752025 1929920800 1945653850 1985301136 2007117632 2023480004 2038478845 2045716048 2153864440 2181649600 2183716600 2195284910 2223604400 2307323200 2312548576 2351694800 2445762592 2461559360 2481626420 2490436928 2508897040 2529350005 2557145060 2658437600 2692330550 2701889120 2836144480 2853870383 2890685720 3054309440 3057203240 3076949200 3102033025 3113046160 3136121300 3196431325 3261566152 3313637600 3324288578 3377361400 3446183104 3493946560 3512455856 3545180600 3580003084 3613357150 3745851200 3757891436 3817886800 3821504050 3859841600 3891307700 3970602272 4046960008 4076957690 4091432096 4307728880 4367433200 4390569820 4447208800 4475003855 4625097152 4697364295 4703389600 4891525184 4963252840 5017794080 5058700010 5114290120 5316875200 5384661100 5403778240 5488212275 5672288960 5707740766 5781371440 6114406480 6153898400 6204066050 6226092320 6272242600 6392862650 6523132304 6576310013 6627275200 6648577156 6754722800 7024911712 7090361200 7160006168 7226714300 7515782872 7635773600 7643008100 7782615400 7941204544 8093920016 8153915380 8182864192 8310721445 8615457760 8734866400 8781139640 8894417600 8950007710 9394728590 9406779200 9926505680 10035588160 10117400020 10192394225 10228580240 10769322200 10976424550 11415481532 11562742880 11635010023 12228812960 12307796800 12408132100 12452184640 12544485200 12646750025 12785725300 13046264608 13152620026 13297154312 13509445600 14049823424 14180722400 14269351915 14320012336 14453428600 15031565744 15271547200 15286016200 15565230800 16187840032 16307830760 16621442890 17230915520 17469732800 17562279280 17900015420 18789457180 19853011360 20234800040 20384788450 20457160480 21538644400 21607875757 21952849100 22375019275 22830963064 23125485760 23270020046 23486821475 24457625920 24816264200 25088970400 25293500050 25571450600 26092529216 26305240052 26594308624 27018891200 28361444800 28538703830 28640024672 28906857200 30063131488 30572032400 31130461600 32375680064 32615661520 32881550065 33242885780 35124558560 35800030840 37578914360 39706022720 40469600080 40769576900 40914320960 41553607225 43077288800 43215751514 43905698200 44750038550 45661926128 46540040092 46973642950 49632528400 50177940800 50587000100 51142901200 52610480104 53188617248 57077407660 57280049344 57813714400 58175050115 60126262976 61144064800 62260923200 65231323040 65763100130 66485771560 70249117120 71346759575 71600061680 75157828720 80939200160 81539153800 83107214450 86154577600 86431503028 87811396400 89500077100 91323852256 93080080184 93947285900 99265056800 101174000200 102285802400 105220960208 106377234496 108039378785 114154815320 115627428800 116350100230 122288129600 130462646080 131526200260 132971543120 142693519150 143200123360 150315657440 151255130299 161878400320 163078307600 164407750325 166214428900 172863006056 175622792800 179000154200 182647704512 186160160368 187894571800 198530113600 202348000400 204571604800 210441920416 216078757570 228309630640 232700200460 263052400520 265943086240 285387038300 286400246720 290875250575 300631314880 302510260598 326156615200 328815500650 332428857800 345726012112 351245585600 358000308400 372320320736 375789143600 404696000800 420883840832 432157515140 456619261280 465400400920 526104801040 531886172480 540196893925 570774076600 581750501150 605020521196 652313230400 657631001300 664857715600 691452024224 716000616800 744640641472 751578287200 756275651495 809392001600 864315030280 913238522560 930800801840 1052209602080 1080393787850 1141548153200 1163501002300 1210041042392 1315262002600 1329715431200 1382904048448 1432001233600 1503156574400 1512551302990 1728630060560 1861601603680 2104419204160 2160787575700 2283096306400 2327002004600 2420082084784 2630524005200 2659430862400 3025102605980 3457260121120 3723203207360 3781378257475 4321575151400 4566192612800 4654004009200 4840164169568 5261048010400 6050205211960 6914520242240 7562756514950 8643150302800 9308008018400 9680328339136 10522096020800 12100410423920 15125513029900 17286300605600 18616016036800 24200820847840 30251026059800 34572601211200 48401641695680 60502052119600 121004104239200 242008208478400
- Sum of all divisors σ(n): 784159253095680
- Sum of proper divisors (its aliquot sum) s(n): 542151044617280
- 242008208478400 is an abundant number, because the sum of its proper divisors (542151044617280) is greater than itself. Its abundance is 300142836138880
Bases of 242008208478400
- Binary: 1101110000011010111011010100110010010000110000002
- Hexadecimal: 0xDC1AED4C90C0
- Base-36: 2DS91AV074
Squares and roots of 242008208478400
- 242008208478400 squared (2420082084784002) is 58567972970924717643266560000
- 242008208478400 cubed (2420082084784003) is 14173930212904845289043308372463202304000000
-
The
square root of 242008208478400 is 15556613.0143550205 -
The
cube root of 242008208478400 is 62317.5014171099
Scales and comparisons
How big is 242008208478400?- 242,008,208,478,400 seconds is equal to 7,695,112 years, 23 weeks, 2 days, 11 hours, 6 minutes, 40 seconds.
-
To count from 1 to 242,008,208,478,400 would take you about nineteen million, two hundred thirty-seven thousand, seven 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 242008208478400 cubic inches would be around 5193.1 feet tall.
Recreational maths with 242008208478400
- 242008208478400 backwards is 004874802800242
- The number of decimal digits it has is: 15
- The sum of 242008208478400's digits is 49
- More coming soon!
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"Number 242008208478400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 242008208478400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/242008208478400/
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The information we have on file for 242008208478400 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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