10013405159727648

Names of 10013405159727648

• Cardinal: 10013405159727648 can be written as Ten quadrillion, thirteen trillion, four hundred five billion, one hundred fifty-nine million, seven hundred twenty-seven thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.0013405159727648 × 10¹⁶

Factors of 10013405159727648

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 878

Divisors of 10013405159727648

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 67 72 76 84 96 112 114 126 133 134 144 152 168 171 201 224 228 252 266 268 288 304 336 342 383 397 399 402 456 469 504 532 536 603 608 672 684 766 794 798 804 912 938 1008 1064 1072 1149 1191 1197 1206 1273 1368 1407 1532 1588 1596 1608 1824 1876 2016 2128 2144 2298 2382 2394 2412 2546 2681 2736 2779 2814 3064 3176 3192 3216 3447 3573 3752 3819 4221 4256 4489 4596 4764 4788 4824 5092 5362 5472 5558 5628 6128 6352 6384 6432 6894 7146 7277 7504 7543 7638 8043 8337 8442 8911 8978 9192 9528 9576 9648 10184 10724 11116 11256 11457 12256 12704 12768 13467 13788 14292 14554 15008 15086 15276 16086 16674 16884 17822 17956 18384 19056 19152 19296 20368 21448 21831 22232 22512 22629 22914 24129 25011 25661 26599 26733 26934 27576 28584 29108 30172 30552 31423 32172 33348 33768 35644 35912 36768 38112 38304 40401 40736 42896 43662 44464 45024 45258 45828 48258 50022 50939 51322 52801 53198 53466 53868 55152 57168 58216 60344 61104 62846 64344 65493 66696 67536 67887 71288 71824 76983 79797 80199 80802 85291 85792 87324 88928 90516 91656 94269 96516 100044 101878 102644 105602 106396 106932 107736 110304 114336 116432 120688 122208 125692 128688 130986 133392 135072 135774 142576 143648 146689 152051 152817 153966 158403 159594 160398 161604 170582 174648 179627 181032 183312 186193 188538 193032 200088 203756 205288 211204 212792 213864 215472 230949 232864 239391 241376 251384 255873 257376 261972 266784 271548 282807 285152 293378 304102 305634 307932 316806 319188 320796 323208 341164 349296 359254 362064 366624 372386 377076 386064 400176 407512 410576 422408 425584 427728 430944 440067 456153 458451 461898 475209 478782 487559 502768 505381 511746 523944 538881 543096 558579 565614 586756 597037 608204 611268 615864 633612 638376 641592 646416 682328 698592 718508 724128 744772 754152 767619 772128 800352 815024 821152 844816 851168 855456 880134 912306 916902 923796 950418 957564 975118 1005536 1010762 1023492 1026823 1047888 1064357 1077762 1086192 1117158 1131228 1173512 1194074 1216408 1222536 1231728 1267224 1276752 1283184 1292832 1320201 1364656 1368459 1437016 1462677 1489544 1508304 1516143 1535238 1616643 1630048 1675737 1689632 1719287 1760268 1782133 1791111 1824612 1833804 1847592 1900836 1915128 1950236 2021524 2046984 2053646 2095776 2128714 2155524 2172384 2234316 2262456 2347024 2388148 2432816 2445072 2463456 2534448 2553504 2566368 2640402 2729312 2736918 2787091 2874032 2888969 2925354 2979088 3016608 3032286 3070476 3080469 3193071 3233286 3351474 3412913 3438574 3520536 3537667 3564266 3582222 3649224 3667608 3695184 3801672 3830256 3900472 4043048 4093968 4107292 4257428 4311048 4388031 4468632 4524912 4548429 4694048 4776296 4865632 4890144 5068896 5157861 5280804 5346399 5373333 5473836 5574182 5748064 5777938 5850708 5958176 6064572 6140952 6160938 6386142 6466572 6702948 6825826 6877148 7041072 7075334 7128532 7164444 7298448 7335216 7390368 7603344 7660512 7800944 8086096 8187936 8214584 8361273 8514856 8622096 8666907 8776062 8937264 9049824 9096858 9241407 9552592 9579213 9828163 10187417 10238739 10315722 10561608 10613001 10692798 10746666 10947672 11148364 11555876 11701416 12035009 12129144 12281904 12321876 12474931 12772284 12933144 13405896 13651652 13754296 14082144 14150668 14257064 14328888 14596896 14670432 15206688 15473583 15601888 16039197 16172192 16429168 16722546 17029712 17244192 17333814 17552124 17874528 18193716 18482814 19105184 19158426 19509637 19656326 20222783 20374834 20477478 20631444 21123216 21226002 21385596 21493332 21895344 22296728 23111752 23402832 24070018 24258288 24563808 24643752 24949862 25083819 25544568 25866288 26000721 26811792 27303304 27508592 28301336 28514128 28657776 29484489 30562251 30716217 30947166 31839003 32078394 32666453 32858336 33445092 33860527 34059424 34667628 35104248 36105027 36387432 36965628 37424793 38316852 39019274 39312652 40445566 40749668 40954956 41262888 42246432 42452004 42771192 42986664 43790688 44593456 46223504 46805664 48140036 48516576 49287504 49899724 50167638 51089136 51732576 52001442 53623584 54606608 55017184 56602672 57028256 57315552 58235533 58528911 58968978 60668349 61124502 61432434 61894332 63678006 64156788 65332906 66890184 67721054 68797141 69335256 70208496 71311919 72210054 72774864 73931256 74849586 76633704 78038548 78625304 80891132 81499336 81909912 82525776 84904008 85542384 85973328 88453467 89186912 91686753 92447008 96280072 97999359 98575008 99799448 100335276 101581581 102178272 104002884 108315081 109213216 112274379 113205344 116471066 117057822 117937956 121336698 122249004 122864868 123788664 127356012 128313576 130665812 133780368 135442108 137594282 138670512 140416992 142623838 144420108 145549728 147862512 149699172 153267408 156077096 157250608 161782264 162998672 163819824 165051552 169808016 171084768 171946656 174706599 175586733 176906934 182005047 183373506 186735097 192560144 193560923 195998718 199598896 200670552 203163162 206391423 208005768 213935757 216630162 224548758 228665171 232942132 234115644 235875912 237023689 242673396 244498008 245729736 247577328 254712024 256627152 261331624 267560736 270884216 275188564 277341024 285247676 288840216 293998077 295725024 299398344 304744743 306534816 312154192 314501216 323564528 325997344 327639648 339616032 349413198 351173466 353813868 364010094 366747012 373470194 385120288 387121846 391997436 399197792 401341104 406326324 407648731 412782846 416011536 427871514 433260324 449097516 457330342 465884264 468231288 471751824 474047378 485346792 488996016 491459472 495154656 509424048 513254304 522663248 524119797 541768432 550377128 560205291 570495352 577680432 580682769 587996154 598796688 609489486 619174269 624308384 641807271 647129056 658486921 682556939 685995513 698826396 702346932 707627736 711071067 728020188 733494024 746940388 774243692 783994872 802682208 812652648 815297462 825565692 832023072 855743028 866520648 898195032 914660684 931768528 936462576 943503648 948094756 970693584 977992032 982918944 1018848096 1045326496 1048239594 1083536864 1100754256 1106475127 1120410582 1140990704 1155360864 1161365538 1175992308 1197593376 1218978972 1222946193 1238348538 1283614542 1307145679 1316973842 1354926461 1365113878 1371991026 1397652792 1404693864 1415255472 1422142134 1456040376 1466988048 1493880776 1548487384 1567989744 1625305296 1630594924 1651131384 1680615873 1711486056 1733041296 1742048307 1796390064 1829321368 1863537056 1872925152 1896189512 1941387168 1975460763 2047670817 2057986539 2096479188 2133213201 2201508512 2212950254 2240821164 2281981408 2322731076 2351984616 2437957944 2445892386 2476697076 2567229084 2614291358 2633947684 2709852922 2730227756 2743982052 2795305584 2809387728 2830510944 2844284268 2912080752 2933976096 2987761552 3096974768 3135979488 3250610592 3261189848 3302262768 3319425381 3361231746 3422972112 3466082592 3484096614 3592780128 3658642736 3668838579 3792379024 3901780711 3921437037 3950921526 4064779383 4095341634 4115973078 4192958376 4266426402 4425900508 4481642328 4609408447 4645462152 4703969232 4777898573 4875915888 4891784772 4953394152 5134458168 5228582716 5267895368 5419705844 5460455512 5487964104 5590611168 5618775456 5688568536 5824161504 5926382289 5975523104 6143012451 6193949536 6522379696 6604525536 6638850762 6722463492 6845944224 6968193228 7317285472 7337677158 7584758048 7745325889 7803561422 7842874074 7901843052 8129558766 8190683268 8231946156 8385916752 8532852804 8851801016 8963284656 9218816894 9290924304 9407938464 9555797146 9751831776 9783569544 9906788304 9958276143 10268916336 10457165432 10535790736 10839411688 10920911024 10975928208 11377137072 11705342133 11764311111 11852764578 12194338149 12286024902 12511251499 12968581841 13044759392 13277701524 13444926984 13828225341 13936386456 14333695719 14675354316 15490651778 15607122844 15685748148 15803686104 16259117532 16381366536 16463892312 16771833504 17065705608 17703602032 17926569312 18437633788 18581848608 19111594292 19567139088 19813576608 19916552286 20537832672 20914330864 21071581472 21678823376 21841822048 21951856416 22754274144 23235977667 23410684266 23528622222 23705529156 24388676298 24572049804 25022502998 25937163682 26555403048 26889853968 27312464977 27656450682 27872772912 28667391438 29350708632 30981303556 31214245688 31371496296 31607372208 32518235064 32762733072 32927784624 34131411216 35116026399 35407204064 36875267576 37533754497 38223188584 38905745523 39134278176 39833104572 41484676023 41828661728 43001087157 43357646752 46471955334 46821368532 47057244444 47411058312 48777352596 49144099608 50045005996 51874327364 53110806096 53779707936 54624929954 55312901364 55745545824 57334782876 58701417264 61962607112 62428491376 62742992592 63214744416 65036470128 65525466144 65855569248 68262822432 69707933001 70232052798 73750535152 74133833509 75067508994 76446377168 77811491046 79666209144 81937394931 82969352046 86002174314 87578760493 90780072887 92943910668 93642737064 94114488888 94822116624 97554705192 98288199216 100090011992 103748654728 106221612192 109249859908 110625802728 112601263491 114669565752 116717236569 117402834528 123925214224 124856982752 125485985184 130072940256 139415866002 140464105596 147501070304 148267667018 150135017988 152892754336 155622982092 159332418288 163874789862 165938704092 172004348628 175157520986 181560145774 185887821336 187285474128 188228977776 189644233248 195109410384 196576398432 200180023984 207497309456 218499719816 221251605456 222401500527 225202526982 229339131504 233434473138 245812184793 247850428448 261419307637 262736281479 272340218661 278831732004 280928211192 296535334036 300270035976 311245964184 318664836576 327749579724 331877408184 344008697256 350315041972 363120291548 371775642672 374570948256 376457955552 390218820768 400360047968 414994618912 436999439632 442503210912 444803001054 450405053964 458678263008 466868946276 491624369586 518936834563 522838615274 525472562958 544680437322 557663464008 561856422384 593070668072 600540071952 622491928368 655499159448 663754816368 667204501581 688017394512 700630083944 726240583096 743551285344 784257922911 788208844437 817020655983 873998879264 889606002108 900810107928 933737892552 983248739172 1037873669126 1045677230548 1050945125916 1089360874644 1115326928016 1123712844768 1186141336144 1201080143904 1244983856736 1310998318896 1327509632736 1334409003162 1376034789024 1401260167888 1452481166192 1556810503689 1568515845822 1576417688874 1634041311966 1779212004216 1801620215856 1829935153459 1867475785104 1966497478344 2075747338252 2091354461096 2101890251832 2178721749288 2230653856032 2352773768733 2372282672288 2621996637792 2668818006324 2802520335776 2904962332384 3113621007378 3137031691644 3152835377748 3268082623932 3558424008432 3603240431712 3659870306918 3734951570208 3932994956688 4151494676504 4182708922192 4203780503664 4357443498576 4670431511067 4705547537466 4966966845103 5337636012648 5489805460377 6227242014756 6274063383288 6305670755496 6536165247864 7116848016864 7319740613836 7865989913376 8302989353008 8365417844384 8407561007328 8714886997152 9340863022134 9411095074932 9933933690206 10675272025296 10979610920754 12454484029512 12548126766576 12611341510992 13072330495728 14639481227672 14900900535309 16469416381131 16605978706016 18681726044268 18822190149864 19867867380412 21350544050592 21959221841508 24908968059024 25096253533152 25222683021984 26144660991456 29278962455344 29801801070618 32938832762262 34768767915721 37363452088536 37644380299728 39735734760824 43918443683016 44702701605927 49817936118048 58557924910688 59603602141236 65877665524524 69537535831442 74726904177072 75288760599456 79471469521648 87836887366032 89405403211854 104306303747163 119207204282472 131755331049048 139075071662884 149453808354144 158942939043296 175673774732064 178810806423708 208612607494326 238414408564944 263510662098096 278150143325768 312918911241489 357621612847416 417225214988652 476828817129888 527021324196192 556300286651536 625837822482978 715243225694832 834450429977304 1112600573303072 1251675644965956 1430486451389664 1668900859954608 2503351289931912 3337801719909216 5006702579863824 10013405159727648
• Sum of all divisors σ(n): 34954165350861120
• Sum of proper divisors (its aliquot sum) s(n): 24940760191133472
• 10013405159727648 is an abundant number, because the sum of its proper divisors (24940760191133472) is greater than itself. Its abundance is 14927355031405824

Bases of 10013405159727648

• Binary: 100011100100110010001110010001100010011010001000100000₂
• Hexadecimal: 0x2393239189A220
• Base-36: 2QLGETPN480

Squares and roots of 10013405159727648

• 10013405159727648 squared (10013405159727648²) is 100268282892860283755801535611904
• 10013405159727648 cubed (10013405159727648³) is 1004026941276398625136970992630703211197666721792
• The square root of 10013405159727648 is 100067003.3513927507
• The cube root of 10013405159727648 is 215539.6944891969

Scales and comparisons

• 10,013,405,159,727,648 seconds is equal to 318,395,310 years, 30 weeks, 2 days, 9 hours, 40 minutes, 48 seconds.
• To count from 1 to 10,013,405,159,727,648 would take you about nine hundred fifty-five million, one hundred eighty-five thousand, nine hundred thirty-one 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 10013405159727648 cubic inches would be around 17961.6 feet tall.

Recreational maths with 10013405159727648

• 10013405159727648 backwards is 84672795150431001
• 10013405159727648 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 10013405159727648's digits is 63
• More coming soon!