113235637985198742

Names of 113235637985198742

• Cardinal: 113235637985198742 can be written as One hundred thirteen quadrillion, two hundred thirty-five trillion, six hundred thirty-seven billion, nine hundred eighty-five million, one hundred ninety-eight thousand, seven hundred forty-two.

Scientific notation

• Scientific notation: 1.13235637985198742 × 10¹⁷

Factors of 113235637985198742

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 877

Divisors of 113235637985198742

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 6 13 19 26 38 39 57 71 78 114 142 213 247 361 426 494 722 741 769 923 1083 1349 1482 1538 1846 2166 2307 2698 2769 4047 4614 4693 5041 5538 6859 8094 9386 9997 10082 13718 14079 14611 15123 17537 19994 20577 25631 28158 29222 29991 30246 35074 41154 43833 51262 52611 54599 59982 65533 76893 87666 89167 95779 105222 109198 131066 153786 163797 178334 189943 191558 196599 267501 277609 287337 327594 333203 357911 379886 393198 486989 535002 555218 569829 574674 591361 666406 709787 715822 832827 973978 999609 1037381 1073733 1139658 1182722 1245127 1419574 1460967 1665654 1774083 1819801 1999218 2074762 2129361 2147466 2490254 2921934 3112143 3548166 3608917 3639602 3735381 3876529 4258722 4652843 5274571 5459403 6224286 6330857 6800309 7217834 7470762 7687693 7753058 9305686 10549142 10826751 10918806 11235859 11629587 12661714 13485953 13600618 13958529 15375386 15823713 18992571 19710239 20400927 21653502 22471718 23063079 23259174 23657413 26971906 27917058 31647426 33707577 34576219 37985142 39420478 40457859 40801854 41986631 46126158 47314826 50394877 59130717 67415154 68569423 69152438 70972239 73654051 80915718 83973262 88404017 100789754 103728657 118261434 125959893 129205871 137138846 141944478 146066167 147308102 151184631 176808034 205708269 207457314 213481321 220962153 251919786 256233107 258411742 265212051 275233559 292132334 302369262 374494541 387617613 411416538 426962642 438198501 441924306 449490847 512466214 530424102 545826203 550467118 640443963 748989082 768699321 775235226 797745989 825700677 876397002 898981694 957502663 1091652406 1123483623 1280887926 1348472541 1399426969 1537398642 1595491978 1637478609 1651401354 1679676323 1915005326 2246967246 2393237967 2454911549 2696945082 2775257173 2798853938 2872507989 2981050801 3274957218 3359352646 3578036267 4056145099 4198280907 4786475934 4868429033 4909823098 5039028969 5229437621 5550514346 5745015978 5962101602 7156072534 7364734647 8112290198 8325771519 8396561814 8943152403 9736858066 10078057938 10370697857 10458875242 10734108801 12168435297 14605287099 14729469294 15157173791 15688312863 16651543038 17886304806 18192550597 20741395714 21468217602 24336870594 26589112411 29210574198 30314347582 31112093571 31376625726 31913850137 36385101194 38753660413 45471521373 52729886287 53178224822 54577651791 56639965219 62224187142 63827700274 67982689073 77507320826 79767337233 90943042746 95741550411 99359314799 105459772574 109155303582 113279930438 116260981239 135965378146 158189658861 159534674466 169919895657 191483100822 197043259283 198718629598 203948067219 211654606871 232521962478 287986302029 298077944397 316379317722 339839791314 345658461343 394086518566 407896134438 423309213742 575972604058 591129777849 596155888794 634963820613 691316922686 736319547847 863958906087 1036975384029 1076159339161 1182259555698 1269927641226 1291671092387 1472639095694 1727917812174 1887826981181 2073950768058 2152318678322 2208958643541 2583342184774 2751509889323 3228478017483 3743821926377 3775653962362 3875013277161 4021437530549 4417917287082 5503019778646 5663480943543 6456956034966 7487643852754 7750026554322 8042875061098 8254529667969 11231465779131 11326961887086 12064312591647 13990071409093 16509059335938 20447027444059 22462931558262 24128625183294 24541750755353 27980142818186 40894054888118 41970214227279 49083501510706 52278687897137 61341082332177 73625252266059 76407313080431 83940428454558 104557375794274 122682164664354 147250504532118 152814626160862 156836063691411 229221939241293 265811356772767 313672127382822 458443878482586 531622713545534 797434070318301 993295070045603 1451738948528189 1594868140636602 1986590140091206 2903477897056378 2979885210136809 4355216845584567 5959770420273618 8710433691169134 18872606330866457 37745212661732914 56617818992599371 113235637985198742
• Sum of all divisors σ(n): 261457427683630080
• Sum of proper divisors (its aliquot sum) s(n): 148221789698431338
• 113235637985198742 is an abundant number, because the sum of its proper divisors (148221789698431338) is greater than itself. Its abundance is 34986151713232596

Bases of 113235637985198742

• Binary: 110010010010010110011011001111010000001011100001010010110₂
• Hexadecimal: 0x1924B367A05C296
• Base-36: UYYOLY6UR2U

Squares and roots of 113235637985198742

• 113235637985198742 squared (113235637985198742²) is 12822309709914984214553869238382564
• 113235637985198742 cubed (113235637985198742³) is 1451942420446031849122579429151284549120268167534488
• The square root of 113235637985198742 is 336505034.1156856185
• The cube root of 113235637985198742 is 483794.6303094021

Scales and comparisons

• 113,235,637,985,198,742 seconds is equal to 3,600,543,027 years, 5 weeks, 2 days, 17 hours, 25 minutes, 42 seconds.
• To count from 1 to 113,235,637,985,198,742 would take you about ten billion, eight hundred one million, six hundred twenty-nine thousand and eighty-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 113235637985198742 cubic inches would be around 40316.2 feet tall.

Recreational maths with 113235637985198742

• 113235637985198742 backwards is 247891589736532311
• The number of decimal digits it has is: 18
• The sum of 113235637985198742's digits is 84
• More coming soon!