12824533257406464

Names of 12824533257406464

• Cardinal: 12824533257406464 can be written as Twelve quadrillion, eight hundred twenty-four trillion, five hundred thirty-three billion, two hundred fifty-seven million, four hundred six thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.2824533257406464 × 10¹⁶

Factors of 12824533257406464

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 215

Divisors of 12824533257406464

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 199 242 256 264 352 363 384 398 484 512 528 597 704 726 768 796 968 1024 1056 1194 1331 1408 1452 1536 1592 1936 2048 2112 2189 2388 2662 2816 2904 3072 3184 3872 3993 4224 4378 4776 5324 5632 5808 6144 6368 6567 7744 7986 8448 8756 9552 10648 11264 11616 12736 13134 15488 15972 16896 17512 19104 21296 22528 23232 24079 25472 26268 30976 31944 33792 35024 38208 39601 42592 46464 48158 50944 52536 61952 63888 67584 70048 72237 76416 79202 85184 92928 96316 101888 105072 118803 123904 127776 140096 144474 152832 158404 170368 185856 192632 203776 210144 237606 247808 255552 264869 280192 288948 305664 316808 340736 371712 385264 407552 420288 435611 475212 511104 529738 560384 577896 611328 633616 681472 743424 770528 794607 840576 871222 950424 1022208 1059476 1120768 1155792 1222656 1267232 1306833 1362944 1541056 1589214 1681152 1742444 1900848 2044416 2118952 2241536 2311584 2534464 2613666 2725888 3082112 3178428 3362304 3484888 3801696 4088832 4237904 4483072 4623168 4791721 5068928 5227332 6164224 6356856 6724608 6969776 7603392 7880599 8177664 8475808 9246336 9583442 10137856 10454664 12328448 12713712 13449216 13939552 14375163 15206784 15761198 16951616 18492672 19166884 20275712 20909328 23641797 24656896 25427424 27879104 28750326 30413568 31522396 33903232 36985344 38333768 40551424 41818656 47283594 49313792 50854848 52708931 55758208 57500652 60827136 63044792 67806464 73970688 76667536 81102848 83637312 86686589 94567188 101709696 105417862 111516416 115001304 121654272 126089584 135612928 147941376 153335072 158126793 167274624 173373178 189134376 203419392 210835724 223032832 230002608 243308544 252179168 260059767 271225856 306670144 316253586 334549248 346746356 378268752 406838784 421671448 446065664 460005216 504358336 520119534 542451712 613340288 632507172 669098496 693492712 756537504 813677568 843342896 892131328 920010432 953552479 1008716672 1040239068 1226680576 1265014344 1338196992 1386985424 1513075008 1568239201 1627355136 1686685792 1840020864 1907104958 2017433344 2080478136 2453361152 2530028688 2676393984 2773970848 2860657437 3026150016 3136478402 3373371584 3680041728 3814209916 4034866688 4160956272 4704717603 4906722304 5060057376 5547941696 5721314874 6052300032 6272956804 6746743168 7360083456 7628419832 8069733376 8321912544 9409435206 9813444608 10120114752 10489077269 11095883392 11442629748 12104600064 12545913608 13493486336 14720166912 15256839664 16139466752 16643825088 17250631211 18818870412 20240229504 20978154538 22191766784 22885259496 24209200128 25091827216 26986972672 29440333824 30513679328 31467231807 33287650176 34501262422 37637740824 40480459008 41956309076 44383533568 45770518992 48418400256 50183654432 51751893633 53973945344 61027358656 62934463614 66575300352 69002524844 75275481648 80960918016 83912618152 88767067136 91541037984 100367308864 103503787266 107947890688 122054717312 125868927228 133150600704 138005049688 150550963296 161921836032 167825236304 177534134272 183082075968 189756943321 200734617728 207007574532 244109434624 251737854456 266301201408 276010099376 301101926592 323843672064 335650472608 366164151936 379513886642 401469235456 414015149064 488218869248 503475708912 532602402816 552020198752 569270829963 602203853184 671300945216 732328303872 759027773284 802938470912 828030298128 976437738496 1006951417824 1104040397504 1138541659926 1204407706368 1342601890432 1464656607744 1518055546568 1605876941824 1656060596256 1952875476992 2013902835648 2087326376531 2208080795008 2277083319852 2408815412736 2685203780864 2929313215488 3036111093136 3211753883648 3312121192512 4027805671296 4174652753062 4416161590016 4554166639704 4817630825472 5370407561728 5858626430976 6072222186272 6261979129593 6624242385024 8055611342592 8349305506124 8832323180032 9108333279408 9635261650944 10740815123456 12144444372544 12523958259186 13248484770048 16111222685184 16698611012248 17664646360064 18216666558816 21481630246912 24288888745088 25047916518372 26496969540096 32222445370368 33397222024496 35329292720128 36433333117632 48577777490176 50095833036744 52993939080192 64444890740736 66794444048992 72866666235264 97155554980352 100191666073488 105987878160384 133588888097984 145733332470528 194311109960704 200383332146976 267177776195968 291466664941056 388622219921408 400766664293952 534355552391936 582933329882112 801533328587904 1068711104783872 1165866659764224 1603066657175808 2137422209567744 3206133314351616 4274844419135488 6412266628703232 12824533257406464
• Sum of all divisors σ(n): 37796811603052320
• Sum of proper divisors (its aliquot sum) s(n): 24972278345645856
• 12824533257406464 is an abundant number, because the sum of its proper divisors (24972278345645856) is greater than itself. Its abundance is 12147745088239392

Bases of 12824533257406464

• Binary: 101101100011111101100001010101001101111100100000000000₂
• Hexadecimal: 0x2D8FD85537C800
• Base-36: 3I9X18TTN9C

Squares and roots of 12824533257406464

• 12824533257406464 squared (12824533257406464²) is 164468653270324450220711708983296
• 12824533257406464 cubed (12824533257406464³) is 2109233713666128309718627459400096573555258425344
• The square root of 12824533257406464 is 113245455.7914200105
• The cube root of 12824533257406464 is 234070.7730103309

Scales and comparisons

• 12,824,533,257,406,464 seconds is equal to 407,780,488 years, 36 weeks, 2 days, 15 hours, 34 minutes, 24 seconds.
• To count from 1 to 12,824,533,257,406,464 would take you about one billion, two hundred twenty-three million, three hundred forty-one thousand, four hundred sixty-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 12824533257406464 cubic inches would be around 19505.9 feet tall.

Recreational maths with 12824533257406464

• 12824533257406464 backwards is 46460475233542821
• 12824533257406464 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12824533257406464's digits is 66
• More coming soon!