38414104049664
38,414,104,049,664 is an even composite number composed of six prime numbers multiplied together.
38414104049664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 38414104049664:
211 × 34 × 73 × 17 × 151 × 263
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 17 × 151 × 263)See below for interesting mathematical facts about the number 38414104049664 from the Numbermatics database.
Names of 38414104049664
- Cardinal: 38414104049664 can be written as Thirty-eight trillion, four hundred fourteen billion, one hundred four million, forty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.8414104049664 × 1013
Factors of 38414104049664
Divisors of 38414104049664
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 54 56 63 64 68 72 81 84 96 98 102 108 112 119 126 128 136 144 147 151 153 162 168 189 192 196 204 216 224 238 252 256 263 272 288 294 302 306 324 336 343 357 378 384 392 408 432 441 448 453 459 476 504 512 526 544 567 576 588 604 612 648 672 686 714 756 768 784 789 816 833 864 882 896 906 918 952 1008 1024 1029 1052 1057 1071 1088 1134 1152 1176 1208 1224 1296 1323 1344 1359 1372 1377 1428 1512 1536 1568 1578 1632 1666 1728 1764 1792 1812 1836 1841 1904 2016 2048 2058 2104 2114 2142 2176 2268 2304 2352 2367 2416 2448 2499 2567 2592 2646 2688 2718 2744 2754 2856 3024 3072 3087 3136 3156 3171 3213 3264 3332 3456 3528 3584 3624 3672 3682 3808 3969 4032 4077 4116 4208 4228 4284 4352 4471 4536 4608 4704 4734 4832 4896 4998 5134 5184 5292 5376 5436 5488 5508 5523 5712 5831 6048 6144 6174 6272 6312 6342 6426 6528 6664 6912 7056 7101 7168 7248 7344 7364 7399 7497 7616 7701 7938 8064 8154 8232 8416 8456 8568 8704 8942 9072 9216 9261 9408 9468 9513 9639 9664 9792 9996 10268 10368 10584 10752 10872 10976 11016 11046 11424 11662 12096 12231 12348 12544 12624 12684 12852 12887 13056 13328 13413 13824 14112 14202 14336 14496 14688 14728 14798 14994 15232 15402 15876 16128 16308 16464 16569 16832 16912 17136 17408 17493 17884 17969 18144 18432 18522 18816 18936 19026 19278 19328 19584 19992 20536 20736 21168 21303 21504 21744 21952 22032 22092 22197 22491 22848 23103 23324 24192 24462 24696 25088 25248 25368 25704 25774 26112 26656 26826 27648 27783 28224 28404 28539 28992 29376 29456 29596 29988 30464 30804 31297 31752 32256 32616 32928 33138 33664 33824 34272 34816 34986 35768 35938 36288 37044 37632 37872 38052 38556 38656 38661 39168 39713 39984 40239 41072 41472 42336 42606 43008 43488 43904 44064 44184 44394 44982 45696 46206 46648 48384 48924 49392 49707 50176 50496 50736 51408 51548 51793 52224 52479 53312 53652 53907 55296 55566 56448 56808 57078 57984 58752 58912 59192 59976 60928 61608 62594 63504 64512 65232 65856 66276 66591 67328 67473 67648 68544 69309 69972 71536 71876 72576 74088 75264 75744 76104 77112 77312 77322 78336 79426 79968 80478 82144 82944 84672 85212 85617 86976 87808 88128 88368 88788 89964 90209 91392 92412 93296 93891 96768 97848 98784 99414 100352 100992 101472 102816 103096 103586 104448 104958 106624 107304 107814 111132 112896 113616 114156 115968 115983 117504 117824 118384 119139 119952 120717 121856 123216 125188 125783 127008 129024 130464 131712 132552 133182 134656 134946 135296 137088 138618 139944 143072 143752 145152 148176 149121 150528 151488 152208 154224 154624 154644 155379 156672 157437 158852 159936 160956 161721 164288 165888 169344 170424 171234 173952 175616 176256 176736 177576 179928 180418 182784 184824 186592 187782 193536 195696 197568 198828 199773 201984 202944 205632 206192 207172 207927 209916 213248 214608 215628 219079 222264 225792 227232 228312 231936 231966 235008 235648 236768 238278 239904 241434 243712 246432 250376 251566 254016 260928 263424 265104 266364 269312 269892 270592 270627 274176 277236 277991 279888 281673 286144 287504 290304 296352 298242 301056 302976 304416 308448 309248 309288 310758 313344 314874 317704 319872 321912 323442 328576 338688 340848 342468 347904 347949 351232 352512 353472 355152 357417 359856 360836 362151 365568 369648 373184 375564 377349 387072 391392 395136 397656 399546 403968 405888 411264 412384 414344 415854 419832 426496 429216 431256 438158 444528 451584 454464 456624 463872 463932 466137 470016 471296 472311 473536 476556 479808 482868 485163 492864 500752 503132 508032 521856 526848 530208 532728 538624 539784 541184 541254 548352 554472 555982 559776 563346 572288 575008 580608 592704 596484 599319 605952 608832 616896 618576 621516 629748 635408 639744 643824 646884 657152 657237 675121 677376 681696 684936 695808 695898 702464 705024 706944 710304 714834 719712 721672 724302 731136 739296 746368 751128 754698 782784 790272 795312 799092 807936 811776 811881 822528 824768 828688 831708 833973 839664 845019 852992 858432 862512 876316 880481 889056 903168 908928 913248 927744 927864 932274 940032 942592 944622 947072 953112 959616 965736 970326 985728 1001504 1006264 1016064 1043712 1043847 1053696 1060416 1065456 1072251 1079568 1082368 1082508 1096704 1108944 1111964 1119552 1126692 1132047 1144576 1150016 1161216 1185408 1192968 1198638 1211904 1217664 1233792 1237152 1243032 1259496 1270816 1279488 1287648 1293768 1314304 1314474 1350242 1354752 1363392 1369872 1391616 1391796 1398411 1410048 1413888 1420608 1429668 1439424 1443344 1448604 1455489 1478592 1492736 1502256 1509396 1533553 1565568 1580544 1590624 1598184 1615872 1623552 1623762 1645056 1649536 1657376 1663416 1667946 1679328 1690038 1705984 1716864 1725024 1752632 1760962 1778112 1817856 1826496 1855728 1864548 1885184 1889244 1894144 1906224 1919232 1931472 1940652 1945937 1971456 1971711 2003008 2012528 2025363 2032128 2087424 2087694 2107392 2120832 2130912 2144502 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30023028 30227904 30499584 30903552 31050432 31134992 31547376 31697316 32048128 32200448 32405808 33080929 33403104 33561864 33933312 34094592 34312032 34546176 34640256 35026866 35486208 35490798 35582848 35825664 36054144 36225504 36456534 36800512 36805272 37806776 38174976 38356416 38970288 39588864 39777024 40030704 40303872 40560912 40666112 40753692 40864677 41204736 41400576 41405931 42063168 42263088 42532623 43207744 43628544 43835904 44537472 44749152 45034542 45459456 45749376 46061568 46187008 46355328 46575648 46702488 47314944 47321064 47545974 48072192 48300672 48608712 49073696 50899968 51141888 51468048 51960384 52540299 53036032 53229312 53374272 53738496 54081216 54338256 54486236 54684801 55200768 55207908 56084224 56350784 56710164 56899584 58447872 58455432 59383296 59665536 60046056 60455808 60999168 61807104 62100864 62269984 63094752 63394632 64096256 64400896 64811616 66161858 66806208 67123728 68189184 68624064 69092352 69280512 70053732 70972416 70981596 71165696 71318961 72108288 72451008 72913068 73610544 75613552 76349952 76712832 77940576 79177728 79554048 80061408 80607744 81121824 81332224 81507384 81729354 82409472 82801152 82811862 84126336 84526176 85065246 86415488 87671808 89074944 89498304 90069084 91498752 92374016 92710656 93151296 93404976 94642128 95091948 96144384 96601344 97217424 98147392 99242787 101799936 102283776 102936096 103920768 105080598 106072064 106458624 106748544 107476992 108162432 108676512 108972472 109369602 110401536 110415816 112168448 112701568 113420328 116910864 118766592 119331072 120092112 120911616 121998336 122594031 123614208 124201728 124217793 124539968 126189504 126789264 127597869 128801792 129623232 132323716 133612416 134247456 136378368 137248128 138184704 138561024 140107464 141944832 141963192 142331392 142637922 144216576 144902016 145826136 147221088 151227104 152699904 153425664 155881152 157620897 159108096 160122816 161215488 162243648 163014768 163458708 165602304 165623724 168252672 169052352 170130492 172830976 175343616 178149888 178996608 180138168 182997504 184748032 185421312 186302592 186809952 189284256 190183896 192288768 193202688 194434848 196294784 198485574 204567552 205872192 207841536 210161196 212917248 213497088 216324864 217353024 217944944 218739204 220831632 224336896 225403136 226840656 231566503 233821728 237533184 238662144 240184224 241823232 243996672 245188062 247228416 248403456 248435586 249079936 252379008 253578528 255195738 257603584 259246464 264647432 267224832 268494912 274496256 277122048 280214928 283926384 284662784 285275844 288433152 289804032 291652272 294442176 297728361 302454208 305399808 306851328 311762304 315241794 318216192 320245632 322430976 324487296 326029536 326917416 331204608 331247448 336505344 338104704 340260984 345661952 356299776 357993216 360276336 365995008 367782093 370842624 372605184 373619904 378568512 380367792 382793607 386405376 388869696 392589568 396971148 409135104 411744384 415683072 420322392 425834496 426994176 432649728 434706048 435889888 437478408 441663264 448673792 450806272 453681312 463133006 467643456 477324288 480368448 483646464 490376124 496806912 496871172 498159872 504758016 507157056 510391476 518492928 529294864 534449664 536989824 548992512 554244096 560429856 567852768 569325568 570551688 576866304 579608064 583304544 588884352 595456722 604908416 613702656 623524608 630483588 640491264 648974592 652059072 653834832 662494896 673010688 676209408 680521968 691323904 694699509 712599552 715986432 720552672 731990016 735564186 741685248 745210368 747239808 757137024 760735584 765587214 772810752 777739392 785179136 793942296 823488768 831366144 840644784 853988352 865299456 869412096 871779776 874956816 883326528 893185083 901612544 907362624 926266012 935286912 954648576 960736896 967292928 980752248 993613824 993742344 996319744 1009516032 1014314112 1020782952 1036985856 1058589728 1068899328 1073979648 1097985024 1103346279 1120859712 1135705536 1141103376 1159216128 1166609088 1177768704 1190913444 1209816832 1227405312 1247049216 1260967176 1280982528 1297949184 1304118144 1307669664 1324989792 1346021376 1352418816 1361043936 1382647808 1389399018 1431972864 1441105344 1471128372 1490420736 1494479616 1514274048 1521471168 1531174428 1555478784 1570358272 1587884592 1646977536 1662732288 1681289568 1707976704 1730598912 1738824192 1743559552 1749913632 1766653056 1786370166 1803225088 1814725248 1852532024 1870573824 1921473792 1961504496 1987484688 1992639488 2019032064 2028628224 2041565904 2073971712 2084098527 2117179456 2137798656 2147959296 2195970048 2206692558 2241719424 2271411072 2282206752 2318432256 2333218176 2355537408 2381826888 2419633664 2494098432 2521934352 2561965056 2595898368 2608236288 2615339328 2649979584 2679555249 2704837632 2722087872 2778798036 2863945728 2882210688 2942256744 2980841472 2988959232 3028548096 3042942336 3062348856 3110957568 3140716544 3175769184 3293955072 3362579136 3477648384 3487119104 3499827264 3533306112 3572740332 3629450496 3705064048 3741147648 3842947584 3923008992 3974969376 3985278976 4038064128 4057256448 4083131808 4147943424 4168197054 4234358912 4295918592 4413385116 4483438848 4542822144 4564413504 4666436352 4711074816 4763653776 4839267328 4988196864 5043868704 5123930112 5191796736 5216472576 5230678656 5299959168 5359110498 5409675264 5444175744 5557596072 5764421376 5884513488 5977918464 6057096192 6085884672 6124697712 6221915136 6252295581 6351538368 6587910144 6725158272 6955296768 6974238208 6999654528 7066612224 7145480664 7258900992 7410128096 7482295296 7685895168 7846017984 7949938752 8114512896 8166263616 8336394108 8468717824 8591837184 8826770232 8966877696 9085644288 9128827008 9332872704 9422149632 9527307552 9678534656 10087737408 10432945152 10461357312 10599918336 10718220996 10888351488 11115192144 11528842752 11769026976 11955836928 12114192384 12171769344 12249395424 12443830272 12504591162 12703076736 13450316544 13948476416 13999309056 14133224448 14290961328 14517801984 14820256192 14964590592 15371790336 15692035968 15899877504 16229025792 16332527232 16672788216 16937435648 17653540464 17933755392 18171288576 18257654016 18665745408 18756886743 19054615104 20175474816 20865890304 20922714624 21199836672 21436441992 21776702976 22230384288 23057685504 23538053952 24343538688 24498790848 25009182324 25406153472 26900633088 27896952832 27998618112 28266448896 28581922656 29035603968 29640512384 31384071936 31799755008 32665054464 33345576432 33874871296 35307080928 35867510784 36342577152 36515308032 37331490816 37513773486 38109230208 40350949632 41845429248 42399673344 42872883984 43553405952 44460768576 46115371008 47076107904 48687077376 48997581696 50018364648 50812306944 53801266176 55997236224 57163845312 59281024768 62768143872 63599510016 65330108928 66691152864 67749742592 70614161856 73030616064 75027546972 76218460416 80701899264 83690858496 84799346688 85745767968 87106811904 88921537152 94152215808 97995163392 100036729296 101624613888 107602532352 111994472448 114327690624 118562049536 125536287744 127199020032 130660217856 133382305728 141228323712 146061232128 150055093944 152436920832 161403798528 171491535936 177843074304 188304431616 195990326784 200073458592 203249227776 228655381248 237124099072 251072575488 254398040064 261320435712 266764611456 282456647424 300110187888 304873841664 322807597056 342983071872 355686148608 376608863232 391980653568 400146917184 457310762496 474248198144 533529222912 564913294848 600220375776 609747683328 685966143744 711372297216 753217726464 783961307136 800293834368 914621524992 1067058445824 1129826589696 1200440751552 1371932287488 1422744594432 1600587668736 1829243049984 2134116891648 2259653179392 2400881503104 2743864574976 3201175337472 4268233783296 4801763006208 5487729149952 6402350674944 9603526012416 12804701349888 19207052024832 38414104049664
- Sum of all divisors σ(n): 143159208192000
- Sum of proper divisors (its aliquot sum) s(n): 104745104142336
- 38414104049664 is an abundant number, because the sum of its proper divisors (104745104142336) is greater than itself. Its abundance is 66331000092672
Bases of 38414104049664
- Binary: 10001011101111111110110000011010111000000000002
- Hexadecimal: 0x22EFFB06B800
- Base-36: DM771Q800
Squares and roots of 38414104049664
- 38414104049664 squared (384141040496642) is 1475643389938412124578512896
- 38414104049664 cubed (384141040496643) is 56685518721293070266321250307352448466944
-
The
square root of 38414104049664 is 6197911.2650685795 -
The
cube root of 38414104049664 is 33741.4365982089
Scales and comparisons
How big is 38414104049664?- 38,414,104,049,664 seconds is equal to 1,221,449 years, 35 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 38,414,104,049,664 would take you about three million, fifty-three thousand, six hundred twenty-four 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 38414104049664 cubic inches would be around 2811.8 feet tall.
Recreational maths with 38414104049664
- 38414104049664 backwards is 46694040141483
- 38414104049664 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38414104049664's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 38414104049664 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/38414104049664/
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The information we have on file for 38414104049664 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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