40801496796902016

Names of 40801496796902016

• Cardinal: 40801496796902016 can be written as Forty quadrillion, eight hundred one trillion, four hundred ninety-six billion, seven hundred ninety-six million, nine hundred two thousand and sixteen.

Scientific notation

• Scientific notation: 4.0801496796902016 × 10¹⁶

Factors of 40801496796902016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1749

Divisors of 40801496796902016

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 73 84 96 97 108 112 126 128 144 146 168 189 192 194 216 219 224 252 288 291 292 336 378 384 388 432 438 448 504 511 576 582 584 657 672 679 756 776 864 873 876 896 1008 1022 1152 1164 1168 1314 1344 1358 1512 1533 1552 1567 1728 1746 1752 1971 2016 2037 2044 2328 2336 2619 2628 2688 2716 3024 3066 3104 3134 3456 3492 3504 3942 4032 4074 4088 4599 4656 4672 4701 5238 5256 5432 6048 6111 6132 6208 6268 6984 7008 7081 7884 8064 8148 8176 9198 9312 9344 9402 9409 10476 10512 10864 10969 12096 12222 12264 12416 12536 13797 13968 14016 14103 14162 15768 16296 16352 18333 18396 18624 18804 18818 20952 21024 21243 21728 21938 24192 24444 24528 25072 27594 27936 28032 28206 28227 28324 31536 32592 32704 32907 36666 36792 37248 37608 37636 41904 42048 42309 42486 43456 43876 48888 49056 49567 50144 55188 55872 56412 56454 56648 63072 63729 65184 65408 65814 65863 73332 73584 75216 75272 83808 84096 84618 84681 84972 86912 87752 97776 98112 98721 99134 100288 110376 111744 112824 112908 113296 114391 126144 127458 130368 131628 131726 146664 147168 148701 150432 150544 151999 167616 169236 169362 169944 175504 191187 195552 196224 197442 197589 198268 200576 220752 225648 225816 226592 228782 252288 254043 254916 260736 263256 263452 293328 294336 296163 297402 300864 301088 303998 335232 338472 338724 339888 343173 351008 382374 391104 394884 395178 396536 441504 446103 451296 451632 453184 455997 457564 508086 509832 526512 526904 586656 588672 592326 592767 594804 601728 602176 607996 676944 677448 679776 686346 686857 702016 764748 782208 789768 790356 793072 800737 883008 892206 902592 903264 906368 911994 915128 1016172 1019664 1029519 1053024 1053808 1063993 1173312 1184652 1185534 1189608 1204352 1215992 1338309 1353888 1354896 1359552 1367991 1372692 1373714 1404032 1529496 1579536 1580712 1586144 1601474 1766016 1778301 1784412 1805184 1806528 1823988 1830256 2032344 2039328 2059038 2060571 2106048 2107616 2127986 2346624 2369304 2371068 2379216 2402211 2431984 2455489 2676618 2707776 2709792 2719104 2735982 2745384 2747428 3058992 3088557 3159072 3161424 3172288 3191979 3202948 3556602 3568824 3613056 3647976 3660512 4064688 4078656 4103973 4118076 4121142 4212096 4215232 4255972 4738608 4742136 4758432 4804422 4807999 4863968 4910978 5353236 5415552 5419584 5471964 5490768 5494856 6117984 6177114 6181713 6318144 6322848 6344576 6383958 6405896 7113204 7137648 7206633 7295952 7321024 7366467 8129376 8157312 8207946 8236152 8242284 8430464 8511944 9477216 9484272 9516864 9575937 9608844 9615998 9727936 9821956 10706472 10839168 10943928 10981536 10989712 11095927 12235968 12354228 12363426 12636288 12645696 12767916 12811792 14226408 14275296 14413266 14423997 14591904 14642048 14732934 14743903 16258752 16415892 16472304 16484568 17023888 17188423 18545139 18954432 18968544 19033728 19151874 19217688 19231996 19455872 19643912 21412944 21619899 21887856 21963072 21979424 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6669108124 7425398736 7430927112 7456462944 7528529274 7534134433 7621837856 8308222272 8388520812 8486169984 8492488128 8574567588 8604033456 8610439352 9586880928 9679537638 9686744271 9900531648 9907902816 9941950592 10003662186 10038039032 11146390668 11184694416 11292793911 11432756784 11472044608 12738732192 12782507904 12861851382 12906050184 12915659028 13210537088 13338216248 14850797472 14861854224 14912925888 15005493279 15057058548 15068268866 15243675712 16616444544 16777041624 16984976256 17149135176 17208066912 17220878704 17387317609 19173761856 19359075276 19373488542 19801063296 19815805632 20007324372 20076078064 22292781336 22369388832 22585587822 22602403299 22865513568 22944089216 23103696001 25477464384 25723702764 25812100368 25831318056 26676432496 29060232813 29701594944 29723708448 29825851776 30010986558 30114117096 30136537732 30487351424 33554083248 33878381733 34298270352 34416133824 34441757408 34774635218 38347523712 38718150552 38746977084 39631611264 40014648744 40152156128 44585562672 44738777664 45016479837 45171175644 45204806598 45731027136 46207392002 50954928768 51447405528 51624200736 51662636112 52161952827 53352864992 58120465626 59403189888 59447416896 60021973116 60228234192 60273075464 67108166496 67756763466 67807209897 68596540704 68832267648 68883514816 69311088003 69549270436 77436301104 77493954168 80029297488 80304312256 89171125344 89477555328 90032959674 90342351288 90409613196 91462054272 92414784004 102894811056 103248401472 103325272224 104323905654 106705729984 116240931252 118894833792 120043946232 120456468384 120546150928 121711223263 134216332992 135513526932 135614419794 137193081408 137767029632 138622176006 139098540872 154872602208 154987908336 156485858481 160058594976 160608624512 161725872007 178342250688 180065919348 180684702576 180819226392 184829568008 203421629691 205789622112 206496802944 206650544448 207933264009 208647811308 213411459968 232481862504 240087892464 240912936768 241092301856 243422446526 268432665984 271027053864 271228839588 274386162816 277244352012 278197081744 309745204416 309975816672 312971716962 320117189952 323451744014 356684501376 360131838696 361369405152 361638452784 365133669789 369659136016 406843259382 411579244224 413301088896 415866528018 417295622616 464963725008 469457575443 480175784928 481825873536 482184603712 485177616021 486844893052 542054107728 542457679176 554488704024 556394163488 619490408832 619951633344 623799792027 625943433924 640234379904 646903488028 720263677392 722738810304 723276905568 730267339578 739318272032 813686518764 823158488448 831733056036 834591245232 929927450016 938915150886 960351569856 964369207424 970355232042 973689786104 1084108215456 1084915358352 1095401009367 1108977408048 1112788326976 1239903266688 1247599584054 1251886867848 1293806976056 1440527354784 1445477620608 1446553811136 1455532848063 1460534679156 1478636544064 1627373037528 1663466112072 1669182490464 1686569808073 1859854900032 1877830301772 1920703139712 1940710464084 1947379572208 2168216430912 2169830716704 2190802018734 2217954816096 2225576653952 2495199168108 2503773735696 2587613952112 2881054709568 2893107622272 2911065696126 2921069358312 2957273088128 3254746075056 3286203028101 3326932224144 3338364980928 3373139616146 3719709800064 3755660603544 3881420928168 3894759144416 4336432861824 4339661433408 4366598544189 4381604037468 4435909632192 4990398336216 5007547471392 5059709424219 5175227904224 5762109419136 5822131392252 5842138716624 6509492150112 6572406056202 6653864448288 6676729961856 6746279232292 7511321207088 7762841856336 7789518288832 8679322866816 8733197088378 8763208074936 8871819264384 9980796672432 10015094942784 10119418848438 10350455808448 11644262784504 11684277433248 11805988656511 13018984300224 13144812112404 13307728896576 13492558464584 15022642414176 15179128272657 15525683712672 15579036577664 17466394176756 17526416149872 19961593344864 20030189885568 20238837696876 20700911616896 23288525569008 23368554866496 23611977313022 26037968600448 26289624224808 26615457793152 26985116929168 30045284828352 30358256545314 31051367425344 34932788353512 35052832299744 35417965969533 39923186689728 40477675393752 45537384817971 46577051138016 46737109732992 47223954626044 52579248449616 53970233858336 60090569656704 60716513090628 62102734850688 69865576707024 70105664599488 70835931939066 79846373379456 80955350787504 91074769635942 93154102276032 94447909252088 105158496899232 106253897908599 107940467716672 121433026181256 139731153414048 140211329198976 141671863878132 161910701575008 182149539271884 186308204552064 188895818504176 210316993798464 212507795817198 215880935433344 242866052362512 279462306828096 283343727756264 318761693725797 323821403150016 364299078543768 377791637008352 420633987596928 425015591634396 485732104725024 558924613656192 566687455512528 637523387451594 647642806300032 728598157087536 755583274016704 850031183268792 971464209450048 1133374911025056 1275046774903188 1457196314175072 1511166548033408 1700062366537584 1942928418900096 2266749822050112 2550093549806376 2914392628350144 3400124733075168 4533499644100224 5100187099612752 5828785256700288 6800249466150336 10200374199225504 13600498932300672 20400748398451008 40801496796902016
• Sum of all divisors σ(n): 141052440244521600
• Sum of proper divisors (its aliquot sum) s(n): 100250943447619584
• 40801496796902016 is an abundant number, because the sum of its proper divisors (100250943447619584) is greater than itself. Its abundance is 59449446650717568

Bases of 40801496796902016

• Binary: 10010000111101001011111011000010111000100011001010000000₂
• Hexadecimal: 0x90F4BEC2E23280
• Base-36: B5QX8V5G2O0

Squares and roots of 40801496796902016

• 40801496796902016 squared (40801496796902016²) is 1664762140867605471484695104864256
• 40801496796902016 cubed (40801496796902016³) is 67924787158213347392231690701122563938633012740096
• The square root of 40801496796902016 is 201993803.8576976153
• The cube root of 40801496796902016 is 344264.3339588755

Scales and comparisons

• 40,801,496,796,902,016 seconds is equal to 1,297,361,390 years, 42 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 40,801,496,796,902,016 would take you about three billion, eight hundred ninety-two million, eighty-four thousand, one hundred seventy-two 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 40801496796902016 cubic inches would be around 28688.7 feet tall.

Recreational maths with 40801496796902016

• 40801496796902016 backwards is 61020969769410804
• 40801496796902016 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40801496796902016's digits is 72
• More coming soon!