13359814325265408

Names of 13359814325265408

• Cardinal: 13359814325265408 can be written as Thirteen quadrillion, three hundred fifty-nine trillion, eight hundred fourteen billion, three hundred twenty-five million, two hundred sixty-five thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.3359814325265408 × 10¹⁶

Factors of 13359814325265408

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 889

Divisors of 13359814325265408

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 49 52 56 64 66 77 78 84 88 91 96 98 104 112 128 132 143 147 154 156 168 176 182 192 196 208 224 231 256 264 273 286 294 308 312 336 352 364 384 392 416 429 448 462 512 528 539 546 572 588 616 624 637 672 704 728 768 784 832 853 858 896 924 1001 1024 1056 1078 1092 1144 1176 1232 1248 1274 1344 1408 1456 1536 1568 1617 1664 1706 1716 1792 1848 1911 2002 2112 2156 2184 2288 2352 2464 2496 2548 2559 2688 2816 2912 3003 3072 3136 3234 3328 3412 3432 3584 3696 3822 4004 4224 4312 4368 4576 4704 4928 4992 5096 5118 5376 5632 5824 5971 6006 6272 6468 6656 6824 6864 7007 7168 7392 7644 8008 8448 8624 8736 9152 9383 9408 9856 9984 10192 10236 10752 11089 11264 11648 11942 12012 12544 12936 13312 13648 13728 14014 14784 15288 16016 16896 17248 17472 17913 18304 18766 18816 19712 19968 20384 20472 21021 21504 22178 23296 23884 24024 25088 25872 27296 27456 28028 28149 29568 30576 32032 33267 33792 34496 34944 35826 36608 37532 37632 39424 39936 40768 40944 41797 42042 44356 46592 47768 48048 50176 51744 54592 54912 56056 56298 59136 61152 64064 65681 66534 68992 69888 71652 73216 75064 75264 77623 78848 81536 81888 83594 84084 88712 93184 95536 96096 103488 109184 109824 112112 112596 118272 121979 122304 125391 128128 131362 133068 137984 139776 143304 146432 150128 150528 155246 163072 163776 167188 168168 177424 191072 192192 197043 206976 218368 219648 224224 225192 232869 236544 243958 244608 250782 256256 262724 266136 275968 279552 286608 300256 310492 326144 327552 334376 336336 354848 365937 382144 384384 394086 413952 436736 439296 448448 450384 459767 465738 487916 489216 501564 512512 525448 532272 543361 551936 573216 600512 620984 652288 655104 668752 672672 709696 727609 731874 764288 768768 788172 827904 853853 873472 896896 900768 919534 931476 975832 978432 1003128 1025024 1050896 1064544 1086722 1146432 1201024 1241968 1310208 1337504 1345344 1379301 1419392 1455218 1463748 1528576 1537536 1576344 1630083 1655808 1707706 1793792 1801536 1839068 1862952 1951664 1956864 2006256 2101792 2129088 2173444 2182827 2292864 2402048 2483936 2561559 2620416 2675008 2690688 2758602 2838784 2910436 2927496 3057152 3075072 3152688 3260166 3415412 3587584 3603072 3678136 3725904 3903328 4012512 4203584 4258176 4346888 4365654 4585728 4804096 4967872 5093263 5123118 5350016 5381376 5517204 5677568 5820872 5854992 5976971 6114304 6305376 6520332 6830824 7175168 7206144 7356272 7451808 7806656 8003699 8025024 8407168 8516352 8693776 8731308 9171456 9458917 9608192 9935744 10186526 10246236 10700032 10762752 11034408 11355136 11641744 11709984 11953942 12610752 13040664 13661648 14412288 14712544 14903616 15279789 15613312 16007398 16050048 16814336 17032704 17387552 17462616 17930913 18342912 18917834 19871488 20373052 20492472 21400064 21525504 22068816 23283488 23419968 23907884 24011097 25221504 26081328 27323296 28376751 28824576 29425088 29807232 30559578 31226624 32014796 32100096 33628672 34065408 34775104 34925232 35652841 35861826 37835668 39742976 40746104 40984944 42800128 44137632 46566976 46839936 47815768 48022194 50443008 52162656 54646592 56025893 56753502 58850176 59614464 61119156 62453248 64029592 64200192 66212419 67257344 69550208 69850464 71305682 71723652 75671336 79485952 81492208 81969888 88275264 93133952 93679872 95631536 96044388 100886016 104048087 104325312 106958523 109293184 112051786 113507004 117700352 119228928 122238312 124906496 128059184 128400384 132424838 139100416 139700928 142611364 143447304 151342672 162984416 163939776 168077679 176550528 186267904 187359744 191263072 192088776 198637257 201772032 208096174 208650624 213917046 218586368 224103572 227014008 235400704 238457856 244476624 256118368 264849676 278200832 279401856 285222728 286894608 302685344 312144261 325968832 327879552 336155358 353101056 372535808 374719488 382526144 384177552 392181251 397274514 416192348 417301248 427834092 437172736 448207144 454028016 463486933 470801408 488953248 512236736 529699352 556401664 558803712 570445456 573789216 605370688 620650477 624288522 651937664 655759104 672310716 706202112 728336609 745071616 765052288 768355104 784362502 794549028 832384696 834602496 855668184 874345472 896414288 908056032 926973866 977906496 1024473472 1059398704 1117607424 1140890912 1147578432 1176543753 1210741376 1241300954 1248577044 1303875328 1311518208 1344621432 1390460799 1412404224 1456673218 1530104576 1536710208 1568725004 1589098056 1664769392 1669204992 1711336368 1792828576 1816112064 1853947732 1861951431 1955812992 2048946944 2118797408 2185009827 2235214848 2281781824 2295156864 2353087506 2421482752 2482601908 2497154088 2607750656 2623036416 2689242864 2780921598 2913346436 3060209152 3073420416 3137450008 3178196112 3329538784 3422672736 3585657152 3632224128 3707895464 3723902862 3911625984 4097893888 4237594816 4344553339 4370019654 4563563648 4590313728 4706175012 4842965504 4965203816 4994308176 5098356263 5215501312 5378485728 5561843196 5826692872 6120418304 6146840832 6274900016 6356392224 6659077568 6827155247 6845345472 7171314304 7264448256 7415790928 7447805724 7823251968 8068456201 8195787776 8475189632 8689106678 8740039308 9127127296 9180627456 9412350024 9685931008 9930407632 9988616352 10196712526 10756971456 11123686392 11653385744 12293681664 12549800032 12712784448 13033660017 13318155136 13654310494 13690690944 14342628608 14528896512 14831581856 14895611448 15295068789 15646503936 16136912402 16950379264 17378213356 17480078616 18254254592 18361254912 18824700048 19860815264 19977232704 20393425052 20481465741 21513942912 22247372784 23306771488 24205368603 24587363328 25099600064 25425568896 26067320034 26636310272 27308620988 27381381888 28685257216 29057793024 29663163712 29791222896 30411873373 30590137578 32273824804 33900758528 34756426712 34960157232 36508509184 37649400096 39721630528 39954465408 40786850104 40962931482 43027885824 44494745568 46613542976 47790086729 48410737206 50199200128 50851137792 52134640068 53272620544 54617241976 54762763776 56479193407 57370514432 59326327424 59582445792 60823746746 61180275156 64547649608 67801517056 69512853424 69920314464 75298800192 79443261056 79908930816 81573700208 81925862964 86055771648 88753018211 88989491136 91235620119 93227085952 95580173458 96821474412 100398400256 101702275584 104269280136 106545241088 109234483952 109525527552 112958386814 118652654848 119164891584 121647493492 122360550312 129095299216 139025706848 139840628928 143370260187 150597600384 158886522112 159817861632 163147400416 163851725928 169437580221 172111543296 177506036422 177978982272 182471240238 186454171904 191160346916 193642948824 200796800512 203404551168 208538560272 218468967904 225916773628 237305309696 238329783168 243294986984 244721100624 258190598432 266259054633 278051413696 279681257856 286740520374 301195200768 317773044224 319635723264 326294800832 327703451856 334530607103 338875160442 355012072844 355957964544 364942480476 372908343808 382320693832 387285897648 395354353849 401593601024 417077120544 436937935808 451833547256 474610619392 476659566336 486589973968 489442201248 516381196864 532518109266 556102827392 559362515712 573481040748 602390401536 621271127477 635546088448 652589601664 655406903712 669061214206 677750320884 710024145688 711915929088 729884960952 745816687616 764641387664 774571795296 790708707698 834154241088 873875871616 903667094512 953319132672 973179947936 978884402496 1003591821309 1032762393728 1065036218532 1112205654784 1118725031424 1146962081496 1186063061547 1204780803072 1242542254954 1305179203328 1310813807424 1338122428412 1355500641768 1420048291376 1423831858176 1459769921904 1529282775328 1549143590592 1581417415396 1668308482176 1747751743232 1807334189024 1863813382431 1906638265344 1946359895872 1957768804992 2007183642618 2065524787456 2130072437064 2224411309568 2237450062848 2293924162992 2372126123094 2485084509908 2610358406656 2621627614848 2676244856824 2711001283536 2840096582752 2919539843808 3058565550656 3098287181184 3162834830792 3336616964352 3495503486464 3614668378048 3727626764862 3892719791744 3915537609984 4014367285236 4131049574912 4260144874128 4348897892339 4448822619136 4587848325984 4744252246188 4970169019816 5220716813312 5243255229696 5352489713648 5422002567072 5680193165504 5839079687616 6117131101312 6196574362368 6325669661584 6673233928704 6991006972928 7229336756096 7455253529724 7785439583488 7831075219968 8028734570472 8262099149824 8520289748256 8697795784678 9175696651968 9488504492376 9940338039632 10486510459392 10704979427296 10844005134144 11360386331008 11678159375232 12234262202624 12393148724736 12651339323168 13046693677017 13346467857408 14458673512192 14910507059448 15570879166976 15662150439936 16057469140944 17040579496512 17395591569356 18351393303936 18977008984752 19880676079264 20973020918784 21409958854592 21688010268288 22720772662016 23356318750464 24468524405248 24786297449472 25302678646336 26093387354034 28917347024384 29821014118896 31141758333952 32114938281888 34081158993024 34791183138712 36702786607872 37954017969504 39761352158528 42819917709184 43376020536576 45441545324032 46712637500928 48937048810496 50605357292672 52186774708068 57834694048768 59642028237792 64229876563776 68162317986048 69582366277424 73405573215744 75908035939008 79522704317056 85639835418368 86752041073152 90883090648064 93425275001856 101210714585344 104373549416136 119284056475584 128459753127552 136324635972096 139164732554848 146811146431488 151816071878016 159045408634112 171279670836736 173504082146304 202421429170688 208747098832272 238568112951168 256919506255104 272649271944192 278329465109696 303632143756032 318090817268224 342559341673472 404842858341376 417494197664544 477136225902336 513839012510208 556658930219392 607264287512064 636181634536448 834988395329088 954272451804672 1027678025020416 1113317860438784 1214528575024128 1669976790658176 1908544903609344 2226635720877568 3339953581316352 4453271441755136 6679907162632704 13359814325265408
• Sum of all divisors σ(n): 48721258884654720
• Sum of proper divisors (its aliquot sum) s(n): 35361444559389312
• 13359814325265408 is an abundant number, because the sum of its proper divisors (35361444559389312) is greater than itself. Its abundance is 22001630234123904

Bases of 13359814325265408

• Binary: 101111011101101010111000101011000111110110010000000000₂
• Hexadecimal: 0x2F76AE2B1F6400
• Base-36: 3NJNPZ12UIO

Squares and roots of 13359814325265408

• 13359814325265408 squared (13359814325265408²) is 178484638805566808825809641406464
• 13359814325265408 cubed (13359814325265408³) is 2384521634354433593311695952582031380103206797312
• The square root of 13359814325265408 is 115584663.0192146557
• The cube root of 13359814325265408 is 237283.0999250931

Scales and comparisons

• 13,359,814,325,265,408 seconds is equal to 424,800,770 years, 48 weeks, 11 hours, 56 minutes, 48 seconds.
• To count from 1 to 13,359,814,325,265,408 would take you about one billion, two hundred seventy-four million, four hundred two thousand, three hundred twelve 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 13359814325265408 cubic inches would be around 19773.6 feet tall.

Recreational maths with 13359814325265408

• 13359814325265408 backwards is 80456252341895331
• The number of decimal digits it has is: 17
• The sum of 13359814325265408's digits is 69
• More coming soon!