448538382969139008

Names of 448538382969139008

• Cardinal: 448538382969139008 can be written as Four hundred forty-eight quadrillion, five hundred thirty-eight trillion, three hundred eighty-two billion, nine hundred sixty-nine million, one hundred thirty-nine thousand and eight.

Scientific notation

• Scientific notation: 4.48538382969139008 × 10¹⁷

Factors of 448538382969139008

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 368576

Divisors of 448538382969139008

• Number of divisors d(n): 630
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 81 84 91 96 98 104 108 112 117 126 144 147 156 162 168 182 189 192 196 208 216 224 234 252 273 288 294 312 324 336 351 364 378 392 416 432 441 448 468 504 546 567 576 588 624 637 648 672 702 728 756 784 819 832 864 882 936 1008 1053 1092 1134 1176 1248 1274 1296 1323 1344 1404 1456 1512 1568 1638 1728 1764 1872 1911 2016 2106 2184 2268 2352 2457 2496 2548 2592 2646 2808 2912 3024 3136 3276 3528 3744 3822 3969 4032 4212 4368 4536 4704 4914 5096 5184 5292 5616 5733 5824 6048 6552 7056 7371 7488 7644 7938 8424 8736 9072 9408 9828 10192 10584 11232 11466 12096 13104 14112 14742 15288 15876 16848 17199 17472 18144 19656 20384 21168 22464 22932 26208 28224 29484 30576 31752 33696 34398 36288 39312 40768 42336 45864 51597 52416 58968 61152 63504 67392 68796 78624 84672 91728 103194 117936 122304 127008 137592 157248 183456 206388 235872 254016 275184 366912 368551 412776 471744 550368 737102 825552 1100736 1105653 1474204 1651104 2211306 2579857 2948408 3302208 3316959 4422612 4791163 5159714 5896816 6633918 7739571 8845224 9582326 9950877 10319428 11793632 13267836 14373489 15479142 17690448 18058999 19164652 19901754 20638856 23218713 23587264 26535672 28746978 29852631 30958284 33538141 35380896 36117998 38329304 39803508 41277712 43120467 46437426 53071344 54176997 57493956 59705262 61916568 67076282 69656139 70761792 72235996 76658608 79607016 82555424 86240934 92874852 100614423 106142688 108353994 114987912 119410524 123833136 129361401 134152564 139312278 144471992 153317216 159214032 162530991 165110848 172481868 185749704 201228846 208968417 212285376 216707988 229975824 234766987 238821048 247666272 258722802 268305128 278624556 288943984 301843269 306634432 318428064 325061982 344963736 371499408 388084203 402457692 417936834 433415976 459951648 469533974 477642096 487592973 495332544 517445604 536610256 557249112 577887968 603686538 636856128 650123964 689927472 704300961 742998816 776168406 804915384 835873668 866831952 905529807 919903296 939067948 955284192 975185946 1034891208 1073220512 1114498224 1155775936 1207373076 1300247928 1379854944 1408601922 1462778919 1485997632 1552336812 1609830768 1671747336 1733663904 1811059614 1878135896 1910568384 1950371892 2069782416 2112902883 2146441024 2228996448 2414746152 2600495856 2716589421 2759709888 2817203844 2925557838 3104673624 3219661536 3343494672 3467327808 3622119228 3756271792 3900743784 4139564832 4225805766 4457992896 4829492304 5200991712 5433178842 5634407688 5851115676 6209347248 6338708649 6439323072 6686989344 7244238456 7512543584 7801487568 8279129664 8451611532 9658984608 10401983424 10866357684 11268815376 11702231352 12418694496 12677417298 13373978688 14488476912 15025087168 15602975136 16903223064 19016125947 19317969216 21732715368 22537630752 23404462704 24837388992 25354834596 28976953824 31205950272 33806446128 38032251894 43465430736 45075261504 46808925408 50709669192 57953907648 67612892256 76064503788 86930861472 93617850816 101419338384 135225784512 135829839601 152129007576 173861722944 202838676768 271659679202 304258015152 405677353536 407489518803 543319358404 608516030304 814979037606 950808877207 1086638716808 1217032060608 1222468556409 1629958075212 1765787914813 1901617754414 2173277433616 2444937112818 2852426631621 3259916150424 3531575829626 3667405669227 3803235508828 4346554867232 4889874225636 5297363744439 5704853263242 6519832300848 6655662140449 7063151659252 7334811338454 7606471017656 8557279894863 8693109734464 9779748451272 10594727488878 11002217007681 11409706526484 12360515403691 13039664601696 13311324280898 14126303318504 14669622676908 15212942035312 15892091233317 17114559789726 19559496902544 19966986421347 21189454977756 22004434015362 22819413052968 24721030807382 25671839684589 26079329203392 26622648561796 28252606637008 29339245353816 30425884070624 31784182466634 34229119579452 37081546211073 39118993805088 39933972842694 42378909955512 44008868030724 45638826105936 47676273699951 49442061614764 51343679369178 53245297123592 56505213274016 58678490707632 59900959264041 60851768141248 63568364933268 68458239158904 74163092422146 77015519053767 78237987610176 79867945685388 84757819911024 86523607825837 88017736061448 91277652211872 95352547399902 98884123229528 102687358738356 106490594247184 111244638633219 113010426548032 117356981415264 119801918528082 127136729866536 136916478317808 143028821099853 148326184844292 154031038107534 159735891370776 169515639822048 173047215651674 176035472122896 179702877792123 182555304423744 190705094799804 197768246459056 205374717476712 212981188494368 222489277266438 234713962830528 239603837056164 254273459733072 259570823477511 273832956635616 286057642199706 296652369688584 308062076215068 319471782741552 333733915899657 339031279644096 346094431303348 352070944245792 359405755584246 381410189599608 395536492918112 410749434953424 425962376988736 444978554532876 479207674112328 508546919466144 519141646955022 539108633376369 547665913271232 572115284399412 593304739377168 616124152430136 638943565483104 667467831799314 692188862606696 704141888491584 718811511168492 762820379199216 778712470432533 791072985836224 821498869906848 889957109065752 958415348224656 1001201747698971 1017093838932288 1038283293910044 1078217266752738 1144230568798824 1186609478754336 1232248304860272 1277887130966208 1334935663598628 1384377725213392 1437623022336984 1525640758398432 1557424940865066 1642997739813696 1779914218131504 1916830696449312 2002403495397942 2076566587820088 2156434533505476 2288461137597648 2336137411297599 2373218957508672 2464496609720544 2669871327197256 2768755450426784 2875246044673968 3051281516796864 3114849881730132 3559828436263008 3833661392898624 4004806990795884 4153133175640176 4312869067010952 4576922275195296 4672274822595198 4928993219441088 5339742654394512 5537510900853568 5750492089347936 6229699763460264 7008412233892797 7119656872526016 8009613981591768 8306266351280352 8625738134021904 9153844550390592 9344549645190396 10679485308789024 11500984178695872 12459399526920528 14016824467785594 16019227963183536 16612532702560704 17251476268043808 18689099290380792 21358970617578048 24918799053841056 28033648935571188 32038455926367072 34502952536087616 37378198580761584 49837598107682112 56067297871142376 64076911852734144 74756397161523168 112134595742284752 149512794323046336 224269191484569504 448538382969139008
• Sum of all divisors σ(n): 1665667641332346498
• Sum of proper divisors (its aliquot sum) s(n): 1217129258363207490
• 448538382969139008 is an abundant number, because the sum of its proper divisors (1217129258363207490) is greater than itself. Its abundance is 768590875394068482

Bases of 448538382969139008

• Binary: 11000111001100001110100100001101001000000001110111101000000₂
• Hexadecimal: 0x63987486900EF40
• Base-36: 3EOHL4I5YS00

Squares and roots of 448538382969139008

• 448538382969139008 squared (448538382969139008²) is 201186680996570010102040528827224064
• 448538382969139008 cubed (448538382969139008³) is 90239948569129520324721224691428976101435780778688512
• The square root of 448538382969139008 is 669730082.1742584739
• The cube root of 448538382969139008 is 765478.8651593575

Scales and comparisons

• 448,538,382,969,139,008 seconds is equal to 14,262,133,158 years, 5 weeks, 3 days, 5 hours, 16 minutes, 48 seconds.
• To count from 1 to 448,538,382,969,139,008 would take you about forty-two billion, seven hundred eighty-six million, three hundred ninety-nine thousand, four hundred seventy-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 448538382969139008 cubic inches would be around 63789.9 feet tall.

Recreational maths with 448538382969139008

• 448538382969139008 backwards is 800931969283835844
• The number of decimal digits it has is: 18
• The sum of 448538382969139008's digits is 90
• More coming soon!