13038723016704

Names of 13038723016704

• Cardinal: 13038723016704 can be written as Thirteen trillion, thirty-eight billion, seven hundred twenty-three million, sixteen thousand, seven hundred four.

Scientific notation

• Scientific notation: 1.3038723016704 × 10¹³

Factors of 13038723016704

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 456

Divisors of 13038723016704

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 49 56 63 64 66 72 77 84 88 96 98 99 112 126 128 132 144 147 154 168 176 192 196 198 224 231 252 256 264 288 294 308 336 343 352 384 392 396 433 441 448 462 504 512 528 539 576 588 616 672 686 693 704 768 784 792 866 882 896 924 1008 1024 1029 1056 1078 1152 1176 1232 1299 1344 1372 1386 1408 1536 1568 1584 1617 1732 1764 1792 1848 2016 2048 2058 2112 2156 2304 2352 2464 2598 2688 2744 2772 2816 3031 3072 3087 3136 3168 3234 3464 3528 3584 3696 3773 3897 4032 4116 4224 4312 4608 4704 4763 4851 4928 5196 5376 5488 5544 5632 6062 6144 6174 6272 6336 6468 6928 7056 7168 7392 7546 7794 8064 8232 8448 8624 9093 9216 9408 9526 9702 9856 10392 10752 10976 11088 11264 11319 12124 12348 12544 12672 12936 13856 14112 14289 14336 14784 15092 15588 16128 16464 16896 17248 18186 18432 18816 19052 19404 19712 20784 21217 21504 21952 22176 22528 22638 24248 24696 25088 25344 25872 27279 27712 28224 28578 29568 30184 31176 32256 32928 33341 33792 33957 34496 36372 37632 38104 38808 39424 41568 42434 42867 43008 43904 44352 45276 48496 49392 50176 50688 51744 54558 55424 56448 57156 59136 60368 62352 63651 64512 65856 66682 67584 67914 68992 72744 75264 76208 77616 78848 83136 84868 85734 87808 88704 90552 96992 98784 100023 100352 101376 103488 109116 110848 112896 114312 118272 120736 124704 127302 129024 131712 133364 135828 137984 145488 148519 150528 152416 155232 157696 166272 169736 171468 175616 177408 181104 187489 190953 193984 197568 200046 202752 206976 218232 221696 225792 228624 233387 236544 241472 249408 254604 263424 266728 271656 275968 290976 297038 300069 301056 304832 310464 332544 339472 342936 351232 354816 362208 374978 381906 387968 395136 400092 413952 436464 443392 445557 451584 457248 466774 473088 482944 498816 509208 526848 533456 543312 551936 562467 581952 594076 600138 609664 620928 665088 678944 685872 700161 702464 709632 724416 749956 763812 775936 790272 800184 827904 872928 886784 891114 903168 914496 933548 965888 997632 1018416 1053696 1066912 1086624 1103872 1124934 1163904 1188152 1200276 1219328 1241856 1312423 1330176 1336671 1357888 1371744 1400322 1419264 1448832 1499912 1527624 1551872 1580544 1600368 1633709 1655808 1687401 1745856 1782228 1828992 1867096 1931776 1995264 2036832 2062379 2100483 2107392 2133824 2173248 2249868 2327808 2376304 2400552 2438656 2483712 2624846 2660352 2673342 2715776 2743488 2800644 2897664 2999824 3055248 3103744 3161088 3200736 3267418 3311616 3374802 3491712 3564456 3657984 3734192 3863552 3937269 3990528 4073664 4124758 4200966 4267648 4346496 4499736 4655616 4752608 4801104 4877312 4901127 4967424 5249692 5346684 5431552 5486976 5601288 5795328 5999648 6110496 6187137 6207488 6322176 6401472 6534836 6749604 6983424 7128912 7315968 7468384 7727104 7874538 7981056 8147328 8249516 8401932 8535296 8692992 8999472 9186961 9311232 9505216 9602208 9754624 9802254 9934848 10499384 10693368 10863104 10973952 11202576 11590656 11811807 11999296 12220992 12374274 12802944 13069672 13499208 13966848 14257824 14436653 14631936 14703381 14936768 15749076 16294656 16499032 16803864 17070592 17385984 17998944 18373922 18561411 18622464 19010432 19204416 19604508 20998768 21386736 21726208 21947904 22405152 23181312 23623614 23998592 24441984 24748548 25605888 26139344 26998416 27560883 27933696 28515648 28873306 29263872 29406762 29873536 31498152 32589312 32998064 33607728 34141184 34771968 35997888 36747844 37122822 38020864 38408832 39209016 41997536 42773472 43309959 43452416 43895808 44810304 47247228 47997184 48883968 49497096 51211776 52278688 53996832 55121766 55867392 57031296 57746612 58813524 59747072 62996304 64308727 65178624 65996128 67215456 68282368 69543936 71995776 73495688 74245644 76041728 76817664 78418032 82682649 83995072 85546944 86619918 87791616 89620608 94494456 95994368 97767936 98994192 101056571 102423552 104557376 107993664 110243532 114062592 115493224 117627048 119494144 125992608 128617454 129929877 130357248 131992256 134430912 143991552 146991376 148491288 152083456 153635328 156836064 165365298 167990144 171093888 173239836 179241216 188988912 191988736 192926181 195535872 197988384 202113142 204847104 209114752 215987328 220487064 228125184 230986448 235254096 238988288 251985216 257234908 259859754 263984512 268861824 287983104 293982752 296982576 303169713 304166912 307270656 313672128 330730596 335980288 342187776 346479672 358482432 377977824 383977472 385852362 391071744 395976768 404226284 418229504 431974656 440974128 456250368 461972896 470508192 477976576 503970432 514469816 519719508 527969024 537723648 575966208 578778543 587965504 593965152 606339426 614541312 627344256 661461192 671960576 684375552 692959344 707395997 716964864 755955648 771704724 791953536 808452568 836459008 863949312 881948256 909509139 912500736 923945792 941016384 1007940864 1028939632 1039439016 1055938048 1075447296 1151932416 1157557086 1175931008 1187930304 1212678852 1254688512 1322922384 1343921152 1368751104 1385918688 1414791994 1433929728 1511911296 1543409448 1583907072 1616905136 1672918016 1727898624 1763896512 1819018278 1847891584 1882032768 2015881728 2057879264 2078878032 2111876096 2122187991 2150894592 2315114172 2351862016 2375860608 2425357704 2509377024 2645844768 2687842304 2737502208 2771837376 2829583988 3023822592 3086818896 3167814144 3233810272 3345836032 3455797248 3527793024 3638036556 3695783168 3764065536 4031763456 4115758528 4157756064 4223752192 4244375982 4301789184 4630228344 4703724032 4751721216 4850715408 5018754048 5291689536 5543674752 5659167976 6047645184 6173637792 6335628288 6366563973 6467620544 7055586048 7276073112 7391566336 7528131072 8063526912 8231517056 8315512128 8488751964 9260456688 9407448064 9503442432 9701430816 10037508096 10583379072 11087349504 11318335952 12095290368 12347275584 12671256576 12733127946 12935241088 14111172096 14552146224 14783132672 15056262144 16463034112 16631024256 16977503928 18520913376 18814896128 19006884864 19402861632 21166758144 22174699008 22636671904 24190580736 24694551168 25466255892 25870482176 28222344192 29104292448 29566265344 30112524288 32926068224 33262048512 33955007856 37041826752 38013769728 38805723264 42333516288 44349398016 45273343808 49389102336 50932511784 51740964352 56444688384 58208584896 65852136448 66524097024 67910015712 74083653504 77611446528 84667032576 88698796032 90546687616 98778204672 101865023568 103481928704 116417169792 131704272896 133048194048 135820031424 148167307008 155222893056 169334065152 181093375232 197556409344 203730047136 206963857408 232834339584 266096388096 271640062848 296334614016 310445786112 362186750464 395112818688 407460094272 465668679168 543280125696 592669228032 620891572224 724373500928 814920188544 931337358336 1086560251392 1185338456064 1448747001856 1629840377088 1862674716672 2173120502784 3259680754176 4346241005568 6519361508352 13038723016704
• Sum of all divisors σ(n): 48019588344000
• Sum of proper divisors (its aliquot sum) s(n): 34980865327296
• 13038723016704 is an abundant number, because the sum of its proper divisors (34980865327296) is greater than itself. Its abundance is 21942142310592

Bases of 13038723016704

• Binary: 10111101101111010000011101000010100000000000₂
• Hexadecimal: 0xBDBD0742800
• Base-36: 4MDWN18G0

Squares and roots of 13038723016704

• 13038723016704 squared (13038723016704²) is 170008297906326658263023616
• 13038723016704 cubed (13038723016704³) is 2216691106941891852834506571107914481664
• The square root of 13038723016704 is 3610917.1988158353
• The cube root of 13038723016704 is 23536.6700868431

Scales and comparisons

• 13,038,723,016,704 seconds is equal to 414,591 years, 3 weeks, 1 day, 38 minutes, 24 seconds.
• To count from 1 to 13,038,723,016,704 would take you about one million, thirty-six thousand, four hundred seventy-seven 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 13038723016704 cubic inches would be around 1961.4 feet tall.

Recreational maths with 13038723016704

• 13038723016704 backwards is 40761032783031
• The number of decimal digits it has is: 14
• The sum of 13038723016704's digits is 45
• More coming soon!