448141040151334400

Names of 448141040151334400

• Cardinal: 448141040151334400 can be written as Four hundred forty-eight quadrillion, one hundred forty-one trillion, forty billion, one hundred fifty-one million, three hundred thirty-four thousand, four hundred.

Scientific notation

• Scientific notation: 4.481410401513344 × 10¹⁷

Factors of 448141040151334400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 133194

Divisors of 448141040151334400

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 61 64 65 80 100 104 122 128 130 160 181 200 208 244 256 260 305 320 325 362 400 416 488 512 520 610 640 650 724 793 800 832 905 976 1040 1220 1280 1300 1448 1525 1586 1600 1664 1810 1861 1952 2080 2353 2440 2560 2600 2896 3050 3172 3200 3328 3620 3722 3904 3965 4160 4525 4706 4880 5200 5792 6100 6344 6400 6656 7240 7444 7808 7930 8320 9050 9305 9412 9760 10400 11041 11584 11765 12200 12688 12800 14480 14888 15616 15860 16640 18100 18610 18824 19520 19825 20800 22082 23168 23530 24193 24400 25376 28960 29776 31232 31720 33280 36200 37220 37648 39040 39650 41600 44164 46336 46525 47060 48386 48800 50752 55205 57920 58825 59552 63440 72400 74440 75296 78080 79300 83200 88328 92672 93050 94120 96772 97600 101504 110410 113521 115840 117650 119104 120965 126880 131071 143533 144800 148880 150592 156160 158600 166400 176656 186100 188240 193544 195200 203008 220820 227042 231680 235300 238208 241930 253760 262142 276025 287066 289600 297760 301184 317200 336841 353312 372200 376480 387088 390400 406016 441640 454084 463360 470600 476416 483860 507520 524284 552050 567605 574132 579200 595520 602368 604825 634400 655355 673682 706624 717665 744400 752960 774176 780800 883280 908168 941200 952832 967720 1015040 1048568 1104100 1135210 1148264 1158400 1191040 1204736 1209650 1268800 1310710 1347364 1413248 1435330 1475773 1488800 1505920 1548352 1684205 1703923 1766560 1816336 1882400 1935440 2030080 2097136 2208200 2270420 2296528 2316800 2382080 2419300 2537600 2621420 2694728 2826496 2838025 2870660 2951546 2977600 3011840 3096704 3276775 3368410 3407846 3533120 3588325 3632672 3764800 3870880 4194272 4378933 4416400 4540840 4593056 4764160 4838600 5075200 5242840 5389456 5652992 5676050 5741320 5903092 5955200 6023680 6193408 6553550 6736820 6815692 7066240 7176650 7265344 7378865 7529600 7741760 7995331 8388544 8421025 8519615 8757866 8832800 9081680 9186112 9677200 10150400 10485680 10778912 11352100 11482640 11806184 11910400 12386816 13107100 13473640 13631384 14132480 14353300 14530688 14757730 15059200 15483520 15990662 16777088 16842050 17039230 17515732 17665600 18163360 18372224 19354400 20547301 20971360 21557824 21894665 22704200 22965280 23612368 23723851 23820800 26214200 26947280 27262768 28264960 28706600 29061376 29515460 30118400 30967040 31981324 33554176 33684100 34078460 35031464 35331200 36326720 36744448 36894325 38708800 39976655 41094602 41942720 42598075 43115648 43789330 45408400 45930560 47224736 47447702 52428400 53894560 54525536 57413200 58122752 59030920 61934080 63962648 67108352 67368200 68156920 70062928 70662400 72653440 73488896 73788650 77417600 79953310 82189204 83885440 85196150 86231296 87578660 90816800 91861120 94449472 94895404 102736505 103939303 104856800 107789120 109051072 109473325 114826400 118061840 118619255 127925296 134736400 136313840 140125856 141324800 145306880 147577300 154835200 159906620 164378408 167770880 170392300 172462592 175157320 181633600 183722240 188898944 189790808 199883275 205473010 207878606 209713600 215578240 218102144 218946650 229652800 236123680 237238510 243923131 255850592 267114913 269472800 272627680 280251712 290613760 295154600 308410063 309670400 319813240 328756816 335541760 340784600 350314640 363267200 367444480 377797888 379581616 399766550 410946020 415757212 419427200 431156480 436204288 437893300 459305600 472247360 474477020 487846262 511701184 513682525 519696515 534229826 538945600 545255360 560503424 590309200 593096275 616820126 639626480 657513632 681569200 700629280 726534400 755595776 759163232 799533100 821892040 831514424 838854400 862312960 872408576 875786600 918611200 944494720 948954040 975692524 1023402368 1027365050 1039393030 1068459652 1077891200 1090510720 1121006848 1180618400 1186192550 1219615655 1233640252 1279252960 1315027264 1335574565 1363138400 1401258560 1447154911 1453068800 1518326464 1542050315 1599066200 1643784080 1663028848 1677708800 1751573200 1837222400 1888989440 1897908080 1951385048 2046804736 2054730100 2078786060 2136919304 2155782400 2181021440 2242013696 2361236800 2372385100 2439231310 2467280504 2558505920 2598482575 2630054528 2671149130 2726276800 2802517120 2894309822 3036652928 3084100630 3171000703 3198132400 3287568160 3326057696 3503146400 3777978880 3795816160 3902770096 4093609472 4109460200 4157572120 4273838608 4311564800 4362042880 4722473600 4744770200 4878462620 4934561008 5117011840 5196965150 5260109056 5342298260 5452553600 5605034240 5788619644 6073305856 6098078275 6168201260 6342001406 6396264800 6575136320 6652115392 6677872825 7006292800 7235774555 7591632320 7710251575 7805540192 8218920400 8315144240 8547677216 9444947200 9489540400 9756925240 9869122016 10234023680 10393930300 10520218112 10684596520 10905107200 11210068480 11577239288 12146611712 12196156550 12336402520 12684002812 12792529600 13150272640 13304230784 13355745650 14012585600 14471549110 14879310991 15183264640 15420503150 15611080384 15855003515 16437840800 16630288480 17095354432 18813013843 18889894400 18979080800 19513850480 19738244032 20468047360 20787860600 21369193040 21810214400 23154478576 24392313100 24672805040 25368005624 25585059200 26300545280 26608461568 26711491300 28025171200 28943098220 29758621982 30366529280 30841006300 31222160768 31710007030 32875681600 33260576960 34190708864 36178872775 37626027686 37958161600 39027700960 39476488064 41575721200 42738386080 44150086711 46308957152 48784626200 49345610080 50736011248 51170118400 52601090560 53216923136 53422982600 56050342400 57886196440 59517243964 60733058560 61682012600 62444321536 63420014060 65751363200 66521153920 68381417728 72357745550 74396554955 75252055372 75916323200 78055401920 78952976128 79275017575 83151442400 85476772160 88300173422 92617914304 94065069215 97569252400 98691220160 101472022496 102340236800 106845965200 115772392880 119034487928 123364025200 124888643072 126840028120 131502726400 133042307840 136762835456 144715491100 148793109910 150504110744 151832646400 156110803840 157905952256 158550035150 166302884800 170953544320 176600346844 185235828608 188130138430 193431042883 195138504800 197382440320 202944044992 213691930400 220750433555 231544785760 238068975856 246728050400 253680056240 263005452800 266084615680 289430982200 297586219820 301008221488 303665292800 312221607680 317100070300 332605769600 341907088640 353200693688 370471657216 371982774775 376260276860 386862085766 390277009600 394764880640 405888089984 427383860800 441500867110 463089571520 470325346075 476137951712 493456100800 507360112480 573951127243 578861964400 595172439640 602016442976 624443215360 634200140600 665211539200 683814177280 706401387376 740943314432 743965549550 752520553720 773724171532 780554019200 789529761280 811776179968 854767721600 883001734220 926179143040 940650692150 952275903424 967155214415 986912201600 1014720224960 1103752167775 1147902254486 1157723928800 1190344879280 1204032885952 1268400281200 1330423078400 1412802774752 1487931099100 1505041107440 1547448343064 1561108038400 1623552359936 1709535443200 1766003468440 1852358286080 1881301384300 1904551806848 1934310428830 1973824403200 2029440449920 2207504335550 2295804508972 2315447857600 2380689758560 2408065771904 2536800562400 2693155289371 2825605549504 2869755636215 2975862198200 3010082214880 3094896686128 3122216076800 3419070886400 3532006936880 3704716572160 3762602768600 3809103613696 3868620857660 3947648806400 4058880899840 4415008671100 4591609017944 4630895715200 4761379517120 4816131543808 4835776072075 5073601124800 5386310578742 5651211099008 5739511272430 5951724396400 6020164429760 6189793372256 7064013873760 7525205537200 7618207227392 7737241715320 8117761799680 8830017342200 9183218035888 9261791430400 9522759034240 9632263087616 9671552144150 10147202249600 10772621157484 11302422198016 11479022544860 11903448792800 12040328859520 12379586744512 13465776446855 14128027747520 14348778181075 15050411074400 15474483430640 17660034684400 18366436071776 18523582860800 19045518068480 19343104288300 20294404499200 21545242314968 22604844396032 22958045089720 23806897585600 24080657719040 24759173489024 26931552893710 28256055495040 28697556362150 30100822148800 30948966861280 35011018761823 35320069368800 36732872143552 38091036136960 38686208576600 40588808998400 43090484629936 45916090179440 47613795171200 48161315438080 49518346978048 53863105787420 56512110990080 57395112724300 60201644297600 61897933722560 67328882234275 70022037523646 70640138737600 73465744287104 77372417153200 86180969259872 91832180358880 95227590342400 99036693956096 107726211574840 113024221980160 114790225448600 120403288595200 123795867445120 134657764468550 140044075047292 141280277475200 146931488574208 154744834306400 172361938519744 175055093809115 183664360717760 190455180684800 215452423149680 229580450897200 240806577190400 247591734890240 269315528937100 280088150094584 282560554950400 293862977148416 309489668612800 344723877039488 350110187618230 367328721435520 430904846299360 459160901794400 495183469780480 538631057874200 560176300189168 565121109900800 618979337225600 689447754078976 700220375236460 734657442871040 861809692598720 875275469045575 918321803588800 1077262115748400 1120352600378336 1237958674451200 1378895508157952 1400440750472920 1469314885742080 1723619385197440 1750550938091150 1836643607177600 2154524231496800 2240705200756672 2475917348902400 2800881500945840 3447238770394880 3501101876182300 3673287214355200 4309048462993600 4481410401513344 5601763001891680 6894477540789760 7002203752364600 7346574428710400 8618096925987200 8962820803026688 11203526003783360 14004407504729200 17236193851974400 17925641606053376 22407052007566720 28008815009458400 34472387703948800 44814104015133440 56017630018916800 89628208030266880 112035260037833600 224070520075667200 448141040151334400
• Sum of all divisors σ(n): 1222694739306872832
• Sum of proper divisors (its aliquot sum) s(n): 774553699155538432
• 448141040151334400 is an abundant number, because the sum of its proper divisors (774553699155538432) is greater than itself. Its abundance is 326412659004204032

Bases of 448141040151334400

• Binary: 11000111000000111011110011011010011011111101000111000000000₂
• Hexadecimal: 0x6381DE6D37E8E00
• Base-36: 3EKKQNQFBZ7K

Squares and roots of 448141040151334400

• 448141040151334400 squared (448141040151334400²) is 200830391867919910830454100623360000
• 448141040151334400 cubed (448141040151334400³) is 90000340705689718331363503279197471739775811584000000
• The square root of 448141040151334400 is 669433372.4511606687
• The cube root of 448141040151334400 is 765252.7623338007

Scales and comparisons

• 448,141,040,151,334,400 seconds is equal to 14,249,498,885 years, 29 weeks, 1 day, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 448,141,040,151,334,400 would take you about forty-two billion, seven hundred forty-eight million, four hundred ninety-six thousand, six hundred fifty-six 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 448141040151334400 cubic inches would be around 63771.1 feet tall.

Recreational maths with 448141040151334400

• 448141040151334400 backwards is 004433151040141844
• The number of decimal digits it has is: 18
• The sum of 448141040151334400's digits is 47
• More coming soon!