47998847738806272

Names of 47998847738806272

• Cardinal: 47998847738806272 can be written as Forty-seven quadrillion, nine hundred ninety-eight trillion, eight hundred forty-seven billion, seven hundred thirty-eight million, eight hundred six thousand, two hundred seventy-two.

Scientific notation

• Scientific notation: 4.7998847738806272 × 10¹⁶

Factors of 47998847738806272

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 17400

Divisors of 47998847738806272

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 49 56 63 64 66 72 77 84 88 96 98 99 112 126 128 132 144 147 154 168 176 192 196 198 224 231 252 256 264 288 294 308 336 352 384 392 396 441 448 462 504 512 528 539 576 588 616 672 693 704 768 784 792 882 896 924 1008 1024 1056 1078 1152 1176 1232 1344 1386 1408 1536 1568 1584 1617 1764 1792 1848 2016 2048 2112 2156 2304 2352 2464 2688 2772 2816 3072 3136 3168 3234 3528 3584 3696 4032 4096 4224 4312 4608 4704 4851 4928 5376 5544 5632 6144 6272 6336 6468 7056 7168 7392 8064 8192 8448 8624 9216 9408 9702 9856 10752 11088 11264 12288 12544 12672 12936 14112 14336 14784 16128 16384 16896 17248 17377 18432 18816 19404 19712 21504 22176 22528 24576 25088 25344 25872 28224 28672 29568 32256 32768 33792 34496 34754 36864 37632 38808 39424 43008 44352 45056 49152 50176 50688 51744 52131 56448 57344 59136 64512 67584 68992 69508 73728 75264 77616 78848 86016 88704 90112 98304 100352 101376 103488 104262 112896 114688 118272 121639 129024 135168 137984 139016 147456 150528 155232 156393 157696 172032 177408 180224 191147 200704 202752 206976 208524 225792 229376 236544 243278 258048 270336 275968 278032 294912 301056 310464 312786 315392 344064 354816 360448 364917 382294 401408 405504 413952 417048 451584 473088 486556 516096 540672 551936 556064 573441 602112 620928 625572 630784 688128 709632 729834 764588 802816 811008 827904 834096 851473 903168 946176 973112 1032192 1081344 1094751 1103872 1112128 1146882 1204224 1241856 1251144 1261568 1338029 1419264 1459668 1529176 1605632 1622016 1655808 1668192 1702946 1720323 1806336 1892352 1946224 2064384 2189502 2207744 2224256 2293764 2408448 2483712 2502288 2523136 2554419 2676058 2838528 2919336 3058352 3244032 3311616 3336384 3405892 3440646 3612672 3784704 3892448 4014087 4379004 4415488 4448512 4587528 4816896 4967424 5004576 5108838 5352116 5677056 5838672 6116704 6623232 6672768 6811784 6881292 7225344 7569408 7663257 7784896 8028174 8758008 8830976 8897024 9175056 9366203 9934848 10009152 10217676 10704232 11354112 11677344 12042261 12233408 13246464 13345536 13623568 13762584 14450688 15326514 15569792 16056348 17516016 17661952 17794048 18350112 18732406 19869696 20018304 20435352 21408464 22708224 23354688 24084522 24466816 26492928 26691072 27247136 27525168 28098609 30653028 31139584 32112696 35032032 35588096 36700224 37464812 39739392 40036608 40870704 42816928 46709376 48169044 48933632 52985856 53382144 54494272 55050336 56197218 61306056 62279168 64225392 70064064 71176192 73400448 74929624 79478784 80073216 81741408 84295827 85633856 93418752 96338088 97867264 106764288 108988544 110100672 112394436 122612112 124558336 128450784 140128128 142352384 146800896 149859248 158957568 160146432 163482816 168591654 171267712 186837504 192676176 195734528 213528576 217977088 220201344 224788872 245224224 249116672 256901568 280256256 284704768 293601792 299718496 301960129 320292864 326965632 337183308 342535424 373675008 385352352 391469056 427057152 435954176 440402688 449577744 490448448 498233344 513803136 560512512 569409536 587203584 599436992 603920258 640585728 653931264 674366616 685070848 747350016 770704704 782938112 854114304 871908352 880805376 899155488 905880387 980896896 996466688 1027606272 1121025024 1174407168 1198873984 1207840516 1281171456 1307862528 1348733232 1370141696 1494700032 1541409408 1565876224 1708228608 1743816704 1761610752 1798310976 1811760774 1961793792 1992933376 2055212544 2113720903 2242050048 2348814336 2397747968 2415681032 2562342912 2615725056 2697466464 2717641161 2740283392 2989400064 3082818816 3131752448 3321561419 3487633408 3523221504 3596621952 3623521548 3923587584 3985866752 4110425088 4227441806 4484100096 4697628672 4795495936 4831362064 5124685824 5231450112 5394932928 5435282322 5480566784 5978800128 6165637632 6263504896 6341162709 6643122838 6975266816 7046443008 7193243904 7247043096 7847175168 8220850176 8454883612 8968200192 9395257344 9590991872 9662724128 9964684257 10462900224 10789865856 10870564644 10961133568 11957600256 12331275264 12682325418 13286245676 13950533632 14092886016 14386487808 14494086192 14796046321 15694350336 16441700352 16909767224 17936400384 18790514688 19023488127 19181983744 19325448256 19929368514 20925800448 21579731712 21741129288 21922267136 23250929933 24662550528 25364650836 26572491352 27901067264 28185772032 28772975616 28988172384 29592092642 29894052771 31388700672 32883400704 33819534448 35872800768 38046976254 38363967488 38650896512 39858737028 41851600896 43159463424 43482258576 43844534272 44388138963 46501859866 49325101056 50729301672 53144982704 56371544064 57545951232 57976344768 59184185284 59788105542 62777401344 65766801408 67639068896 69752789799 76093952508 76727934976 77301793024 79717474056 83703201792 86318926848 86964517152 88776277926 93003719732 98650202112 101458603344 106289965408 115091902464 115952689536 118368370568 119576211084 125554802688 131533602816 133164416889 135278137792 139505579598 152187905016 153455869952 154603586048 159434948112 162756509531 172637853696 173929034304 177552555852 186007439464 197300404224 202917206688 209258369397 212579930816 230183804928 231905379072 236736741136 239152422168 251109605376 266328833778 270556275584 279011159196 304375810032 306911739904 309207172096 318869896224 325513019062 345275707392 347858068608 355105111704 372014878928 394600808448 405834413376 418516738794 425159861632 460367609856 463810758144 473473482272 478304844336 488269528593 532657667556 541112551168 558022318392 608751620064 618414344192 637739792448 651026038124 690551414784 695716137216 710210223408 744029757856 811668826752 837033477588 850319723264 920735219712 927621516288 946946964544 956609688672 976539057186 1065315335112 1082225102336 1116044636784 1217503240128 1236828688384 1275479584896 1302052076248 1381102829568 1391432274432 1420420446816 1464808585779 1488059515712 1623337653504 1674066955176 1700639446528 1855243032576 1893893929088 1913219377344 1953078114372 2130630670224 2164450204672 2232089273568 2435006480256 2473657376768 2550959169792 2604104152496 2762205659136 2782864548864 2840840893632 2929617171558 2976119031424 3246675307008 3348133910352 3401278893056 3710486065152 3787787858176 3826438754688 3906156228744 4261261340448 4328900409344 4464178547136 4870012960512 4947314753536 5101918339584 5208208304992 5565729097728 5681681787264 5859234343116 5952238062848 6493350614016 6696267820704 6802557786112 7420972130304 7575575716352 7652877509376 7812312457488 8522522680896 8657800818688 8928357094272 9740025921024 9894629507072 10203836679168 10416416609984 11131458195456 11363363574528 11718468686232 11904476125696 12986701228032 13392535641408 13605115572224 14841944260608 15151151432704 15305755018752 15624624914976 17045045361792 17315601637376 17856714188544 19480051842048 20407673358336 20832833219968 22262916390912 22726727149056 23436937372464 23808952251392 25973402456064 26785071282816 27210231144448 29683888521216 30302302865408 30611510037504 31249249829952 34090090723584 34631203274752 35713428377088 38960103684096 40815346716672 41665666439936 44525832781824 45453454298112 46873874744928 47617904502784 51946804912128 53570142565632 54420462288896 60604605730816 61223020075008 62498499659904 68180181447168 69262406549504 71426856754176 77920207368192 81630693433344 83331332879872 89051665563648 90906908596224 93747749489856 95235809005568 103893609824256 107140285131264 108840924577792 121209211461632 122446040150016 124996999319808 136360362894336 142853713508352 155840414736384 163261386866688 166662665759744 181813817192448 187495498979712 190471618011136 207787219648512 214280570262528 242418422923264 244892080300032 249993998639616 272720725788672 285707427016704 311680829472768 326522773733376 333325331519488 363627634384896 374990997959424 380943236022272 428561140525056 484836845846528 489784160600064 499987997279232 545441451577344 571414854033408 623361658945536 666650663038976 727255268769792 749981995918848 761886472044544 857122281050112 979568321200128 999975994558464 1090882903154688 1142829708066816 1333301326077952 1454510537539584 1499963991837696 1714244562100224 1999951989116928 2181765806309376 2285659416133632 2666602652155904 2999927983675392 3428489124200448 3999903978233856 4363531612618752 5333205304311808 5999855967350784 6856978248400896 7999807956467712 11999711934701568 15999615912935424 23999423869403136 47998847738806272
• Sum of all divisors σ(n): 175973532931710540
• Sum of proper divisors (its aliquot sum) s(n): 127974685192904268
• 47998847738806272 is an abundant number, because the sum of its proper divisors (127974685192904268) is greater than itself. Its abundance is 79975837454097996

Bases of 47998847738806272

• Binary: 10101010100001101011001010011101000110011000000000000000₂
• Hexadecimal: 0xAA86B29D198000
• Base-36: D4M668Q5TS0

Squares and roots of 47998847738806272

• 47998847738806272 squared (47998847738806272²) is 2303889384253107970571475546537984
• 47998847738806272 cubed (47998847738806272³) is 110584035761817065834354961473915631781338465435648
• The square root of 47998847738806272 is 219086393.3219182647
• The cube root of 47998847738806272 is 363421.2104910143

Scales and comparisons

• 47,998,847,738,806,272 seconds is equal to 1,526,214,887 years, 47 weeks, 2 days, 3 hours, 31 minutes, 12 seconds.
• To count from 1 to 47,998,847,738,806,272 would take you about four billion, five hundred seventy-eight million, six hundred forty-four thousand, six hundred sixty-three 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 47998847738806272 cubic inches would be around 30285.1 feet tall.

Recreational maths with 47998847738806272

• 47998847738806272 backwards is 27260883774889974
• 47998847738806272 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 47998847738806272's digits is 99
• More coming soon!