422742146475738960
422,742,146,475,738,960 is an even composite number composed of seven prime numbers multiplied together.
422742146475738960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 422742146475738960:
24 × 33 × 5 × 13 × 19 × 59 × 13429901647
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 19 × 59 × 13429901647)See below for interesting mathematical facts about the number 422742146475738960 from the Numbermatics database.
Names of 422742146475738960
- Cardinal: 422742146475738960 can be written as Four hundred twenty-two quadrillion, seven hundred forty-two trillion, one hundred forty-six billion, four hundred seventy-five million, seven hundred thirty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.2274214647573896 × 1017
Factors of 422742146475738960
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 13429901748
Divisors of 422742146475738960
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 36 38 39 40 45 48 52 54 57 59 60 65 72 76 78 80 90 95 104 108 114 117 118 120 130 135 144 152 156 171 177 180 190 195 208 216 228 234 236 240 247 260 270 285 295 304 312 342 351 354 360 380 390 432 456 468 472 494 513 520 531 540 570 585 590 624 684 702 708 720 741 760 767 780 855 885 912 936 944 988 1026 1040 1062 1080 1121 1140 1170 1180 1235 1368 1404 1416 1482 1520 1534 1560 1593 1710 1755 1770 1872 1976 2052 2124 2160 2223 2242 2280 2301 2340 2360 2470 2565 2655 2736 2808 2832 2964 3068 3120 3186 3363 3420 3510 3540 3705 3835 3952 4104 4248 4446 4484 4560 4602 4680 4720 4940 5130 5310 5605 5616 5928 6136 6372 6669 6726 6840 6903 7020 7080 7410 7670 7965 8208 8496 8892 8968 9204 9360 9880 10089 10260 10620 11115 11210 11505 11856 12272 12744 13338 13452 13680 13806 14040 14160 14573 14820 15340 15930 16815 17784 17936 18408 19760 20178 20520 20709 21240 22230 22420 23010 25488 26676 26904 27612 28080 29146 29640 30267 30680 31860 33345 33630 34515 35568 36816 40356 41040 41418 42480 43719 44460 44840 46020 50445 53352 53808 55224 58292 59280 60534 61360 63720 66690 67260 69030 72865 80712 82836 87438 88920 89680 92040 100890 103545 106704 110448 116584 121068 127440 131157 133380 134520 138060 145730 151335 161424 165672 174876 177840 184080 201780 207090 218595 233168 242136 262314 266760 269040 276120 291460 302670 331344 349752 393471 403560 414180 437190 484272 524628 533520 552240 582920 605340 655785 699504 786942 807120 828360 874380 1049256 1165840 1210680 1311570 1573884 1656720 1748760 1967355 2098512 2421360 2623140 3147768 3497520 3934710 5246280 6295536 7869420 10492560 15738840 31477680 13429901647 26859803294 40289704941 53719606588 67149508235 80579409882 107439213176 120869114823 134299016470 161158819764 174588721411 201448524705 214878426352 241738229646 255168131293 268598032940 322317639528 349177442822 362607344469 402897049410 483476459292 510336262586 523766164233 537196065880 604345574115 644635279056 698354885644 725214688938 765504393879 792364197173 805794098820 872943607055 966952918584 1020672525172 1047532328466 1074392131760 1208691148230 1275840656465 1396709771288 1450429377876 1531008787758 1571298492699 1584728394346 1611588197640 1745887214110 1813036722345 1933905837168 2041345050344 2095064656932 2296513181637 2377092591519 2417382296460 2551681312930 2618830821165 2793419542576 2900858755752 3062017575516 3142596985398 3169456788692 3223176395280 3317185706809 3491774428220 3626073444690 3827521969395 3961820985865 4082690100688 4190129313864 4593026363274 4713895478097 4754185183038 4834764592920 5103362625860 5237661642330 5801717511504 6124035151032 6285193970796 6338913577384 6634371413618 6889539544911 6983548856440 7131277774557 7252146889380 7655043938790 7856492463495 7923641971730 8380258627728 9186052726548 9427790956194 9508370366076 9669529185840 9951557120427 10206725251720 10300734563249 10475323284660 11482565908185 11885462957595 12248070302064 12570387941592 12677827154768 13268742827236 13779079089822 13967097712880 14262555549114 14504293778760 15054919746287 15310087877580 15712984926990 15847283943460 16585928534045 18372105453096 18855581912388 19016740732152 19903114240854 20413450503440 20601469126498 20950646569320 21393833323671 22965131816370 23569477390485 23770925915190 25140775883184 26537485654472 27558158179644 28525111098228 29008587557520 29854671361281 30109839492574 30620175755160 30902203689747 31425969853980 31694567886920 33171857068090 34447697724555 35656388872785 36744210906192 37711163824776 38033481464304 39806228481708 41202938252996 41901293138640 42787666647342 45164759238861 45930263632740 47138954780970 47541851830380 49757785602135 51503672816245 53074971308944 55116316359288 57050222196456 59709342722562 60219678985148 61240351510320 61804407379494 62851939707960 63389135773840 66343714136180 68895395449110 71312777745570 75274598731435 75422327649552 79612456963416 82405876505992 85575333294684 89564014083843 90329518477722 91860527265480 92706611069241 94277909561940 95083703660760 99515571204270 103007345632490 106969166618355 110232632718576 114100444392912 119418685445124 120439357970296 123608814758988 125703879415920 132687428272360 135494277716583 137790790898220 142625555491140 149273356806405 150549197462870 154511018448735 159224913926832 164811753011984 171150666589368 179128028167686 180659036955444 183721054530960 185413222138482 188555819123880 190167407321520 195713956701731 199031142408540 206014691264980 213938333236710 225823796194305 238837370890248 240878715940592 247217629517976 265374856544720 270988555433166 275581581796440 278119833207723 285251110982280 298546713612810 301098394925740 309022036897470 342301333178736 358256056335372 361318073910888 370826444276964 377111638247760 391427913403462 398062284817080 406482833149749 412029382529960 427876666473420 447820070419215 451647592388610 463533055346205 477674741780496 494435259035952 541977110866332 551163163592880 556239666415446 570502221964560 587141870105193 597093427225620 602196789851480 618044073794940 677471388582915 716512112670744 722636147821776 741652888553928 782855826806924 796124569634160 812965666299498 824058765059920 855753332946840 895640140838430 903295184777220 927066110692410 978569783508655 1083954221732664 1112479332830892 1174283740210386 1194186854451240 1204393579702960 1236088147589880 1354942777165830 1390599166038615 1433024225341488 1483305777107856 1565711653613848 1625931332598996 1711506665893680 1761425610315579 1791280281676860 1806590369554440 1854132221384820 1957139567017310 2032414165748745 2167908443465328 2224958665661784 2348567480420772 2388373708902480 2472176295179760 2709885554331660 2781198332077230 2935709350525965 3131423307227696 3251862665197992 3522851220631158 3582560563353720 3613180739108880 3708264442769640 3914279134034620 4064828331497490 4449917331323568 4697134960841544 5284276830946737 5419771108663320 5562396664154460 5871418701051930 6503725330395984 7045702441262316 7165121126707440 7416528885539280 7828558268069240 8129656662994980 8807128051577895 9394269921683088 10568553661893474 10839542217326640 11124793328308920 11742837402103860 14091404882524632 15657116536138480 16259313325989960 17614256103155790 21137107323786948 22249586656617840 23485674804207720 26421384154733685 28182809765049264 32518626651979920 35228512206311580 42274214647573896 46971349608415440 52842768309467370 70457024412623160 84548429295147792 105685536618934740 140914048825246320 211371073237869480 422742146475738960
- Sum of all divisors σ(n): 1678630266786816000
- Sum of proper divisors (its aliquot sum) s(n): 1255888120311077040
- 422742146475738960 is an abundant number, because the sum of its proper divisors (1255888120311077040) is greater than itself. Its abundance is 833145973835338080
Bases of 422742146475738960
- Binary: 101110111011110000110111110000100000100010111000111010100002
- Hexadecimal: 0x5DDE1BE1045C750
- Base-36: 37MHL124VUC0
Squares and roots of 422742146475738960
- 422742146475738960 squared (4227421464757389602) is 178710922406915133998743878061881600
- 422742146475738960 cubed (4227421464757389603) is 75548638936958537353013050973065202237439968027136000
-
The
square root of 422742146475738960 is 650186239.8388164597 -
The
cube root of 422742146475738960 is 750513.5129039687
Scales and comparisons
How big is 422742146475738960?- 422,742,146,475,738,960 seconds is equal to 13,441,892,630 years, 31 weeks, 6 days, 6 hours, 36 minutes.
-
To count from 1 to 422,742,146,475,738,960 would take you about forty billion, three hundred twenty-five million, six hundred seventy-seven thousand, eight hundred ninety-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 422742146475738960 cubic inches would be around 62542.8 feet tall.
Recreational maths with 422742146475738960
- 422742146475738960 backwards is 069837574641247224
- The number of decimal digits it has is: 18
- The sum of 422742146475738960's digits is 81
- More coming soon!
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The information we have on file for 422742146475738960 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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