13006314410119466596992
13,006,314,410,119,466,596,992 is an even composite number composed of six prime numbers multiplied together.
13006314410119466596992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 13006314410119466596992:
27 × 33 × 13 × 41 × 19163 × 368459540233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 41 × 19163 × 368459540233)See below for interesting mathematical facts about the number 13006314410119466596992 from the Numbermatics database.
Names of 13006314410119466596992
- Cardinal: 13006314410119466596992 can be written as Thirteen sextillion, six quintillion, three hundred fourteen quadrillion, four hundred ten trillion, one hundred nineteen billion, four hundred sixty-six million, five hundred ninety-six thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.3006314410119466596992 × 1022
Factors of 13006314410119466596992
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 368459559455
Divisors of 13006314410119466596992
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 48 52 54 64 72 78 82 96 104 108 117 123 128 144 156 164 192 208 216 234 246 288 312 328 351 369 384 416 432 468 492 533 576 624 656 702 738 832 864 936 984 1066 1107 1152 1248 1312 1404 1476 1599 1664 1728 1872 1968 2132 2214 2496 2624 2808 2952 3198 3456 3744 3936 4264 4428 4797 4992 5248 5616 5904 6396 7488 7872 8528 8856 9594 11232 11808 12792 14391 14976 15744 17056 17712 19163 19188 22464 23616 25584 28782 34112 35424 38326 38376 44928 47232 51168 57489 57564 68224 70848 76652 76752 102336 114978 115128 141696 153304 153504 172467 204672 229956 230256 249119 306608 307008 344934 459912 460512 498238 517401 613216 614016 689868 747357 785683 919824 921024 996476 1034802 1226432 1379736 1494714 1571366 1839648 1842048 1992952 2069604 2242071 2357049 2452864 2759472 2989428 3142732 3679296 3985904 4139208 4484142 4714098 5518944 5978856 6285464 6726213 7071147 7358592 7971808 8278416 8968284 9428196 10213879 11037888 11957712 12570928 13452426 14142294 15943616 16556832 17936568 18856392 20427758 21213441 22075776 23915424 25141856 26904852 28284588 30641637 31887232 33113664 35873136 37712784 40855516 42426882 47830848 50283712 53809704 56569176 61283274 66227328 71746272 75425568 81711032 84853764 91924911 95661696 100567424 107619408 113138352 122566548 143492544 150851136 163422064 169707528 183849822 215238816 226276704 245133096 275774733 286985088 301702272 326844128 339415056 367699644 430477632 452553408 490266192 551549466 653688256 678830112 735399288 860955264 905106816 980532384 1103098932 1307376512 1357660224 1470798576 1961064768 2206197864 2715320448 2941597152 3922129536 4412395728 5883194304 8824791456 11766388608 17649582912 35299165824 368459540233 736919080466 1105378620699 1473838160932 2210757241398 2947676321864 3316135862097 4421514482796 4789974023029 5895352643728 6632271724194 8843028965592 9579948046058 9948407586291 11790705287456 13264543448388 14369922069087 15106841149553 17686057931184 19159896092116 19896815172582 23581410574912 26529086896776 28739844138174 30213682299106 35372115862368 38319792184232 39793630345164 43109766207261 45320523448659 47162821149824 53058173793552 57479688276348 60427364598212 70744231724736 76639584368464 79587260690328 86219532414522 90641046897318 106116347587104 114959376552696 120854729196424 129329298621783 135961570345977 141488463449472 153279168736928 159174521380656 172439064829044 181282093794636 196388934944189 212232695174208 229918753105392 241709458392848 258658597243566 271923140691954 306558337473856 318349042761312 344878129658088 362564187589272 392777869888378 407884711037931 424465390348416 459837506210784 483418916785696 517317194487132 543846281383908 589166804832567 613116674947712 636698085522624 689756259316176 725128375178544 785555739776756 815769422075862 919675012421568 966837833571392 1034634388974264 1087692562767816 1178333609665134 1273396171045248 1379512518632352 1450256750357088 1571111479553512 1631538844151724 1767500414497701 1839350024843136 1933675667142784 2069268777948528 2175385125535632 2356667219330268 2759025037264704 2900513500714176 3142222959107024 3263077688303448 3535000828995402 4138537555897056 4350770251071264 4713334438660536 5302501243493103 5518050074529408 5801027001428352 6284445918214048 6526155376606896 7060790169484979 7070001657990804 8277075111794112 8701540502142528 9426668877321072 10605002486986206 12568891836428096 13052310753213792 14121580338969958 14140003315981608 16554150223588224 17403081004285056 18853337754642144 21182370508454937 21210004973972412 25137783672856192 26104621506427584 28243160677939916 28280006631963216 37706675509284288 42364741016909874 42420009947944824 52209243012855168 56486321355879832 56560013263926432 63547111525364811 75413351018568576 84729482033819748 84840019895889648 91790272203304727 112972642711759664 113120026527852864 127094223050729622 169458964067639496 169680039791779296 183580544406609454 190641334576094433 225945285423519328 226240053055705728 254188446101459244 275370816609914181 289492396948884139 338917928135278992 339360079583558592 367161088813218908 381282669152188866 451890570847038656 508376892202918488 550741633219828362 578984793897768278 677835856270557984 678720159167117184 734322177626437816 762565338304377732 826112449829742543 868477190846652417 903781141694077312 1016753784405836976 1101483266439656724 1157969587795536556 1355671712541115968 1468644355252875632 1525130676608755464 1652224899659485086 1736954381693304834 2033507568811673952 2202966532879313448 2315939175591073112 2478337349489227629 2605431572539957251 2711343425082231936 2937288710505751264 3050261353217510928 3304449799318970172 3473908763386609668 3763401160335493807 4067015137623347904 4405933065758626896 4631878351182146224 4956674698978455258 5210863145079914502 5874577421011502528 6100522706435021856 6608899598637940344 6947817526773219336 7526802320670987614 7816294717619871753 8134030275246695808 8811866131517253792 9263756702364292448 9913349397956910516 10421726290159829004 11290203481006481421 11749154842023005056 12201045412870043712 13217799197275880688 13895635053546438672 15053604641341975228 15632589435239743506 17623732263034507584 18527513404728584896 19826698795913821032 20843452580319658008 22580406962012962842 24402090825740087424 26435598394551761376 27791270107092877344 30107209282683950456 31265178870479487012 33870610443019444263 35247464526069015168 37055026809457169792 39653397591827642064 41686905160639316016 45160813924025925684 52871196789103522752 55582540214185754688 60214418565367900912 62530357740958974024 67741220886038888526 79306795183655284128 83373810321278632032 90321627848051851368 101611831329058332789 105742393578207045504 111165080428371509376 120428837130735801824 125060715481917948048 135482441772077777052 158613590367310568256 166747620642557264064 180643255696103702736 203223662658116665578 240857674261471603648 250121430963835896096 270964883544155554104 317227180734621136512 333495241285114528128 361286511392207405472 406447325316233331156 481715348522943207296 500242861927671792192 541929767088311108208 722573022784414810944 812894650632466662312 1000485723855343584384 1083859534176622216416 1445146045568829621888 1625789301264933324624 2167719068353244432832 3251578602529866649248 4335438136706488865664 6503157205059733298496 13006314410119466596992
- Sum of all divisors σ(n): 42350004993556549497600
- Sum of proper divisors (its aliquot sum) s(n): 29343690583437082900608
- 13006314410119466596992 is an abundant number, because the sum of its proper divisors (29343690583437082900608) is greater than itself. Its abundance is 16337376173317616303616
Bases of 13006314410119466596992
- Binary: 101100000100010010110111110001110110011000101101110001000000111010100000002
- Hexadecimal: 0x2C112DF1D98B7103A80
- Base-36: 248VVNO5Q2AXEO0
Squares and roots of 13006314410119466596992
- 13006314410119466596992 squared (130063144101194665969922) is 169164214534881288343955696777236848943448064
- 13006314410119466596992 cubed (130063144101194665969923) is 2200202961181567421270662906996515290702150537721861130860770623488
-
The
square root of 13006314410119466596992 is 114045229668.4059758003 -
The
cube root of 13006314410119466596992 is 23517153.2588230379
Scales and comparisons
How big is 13006314410119466596992?- 13,006,314,410,119,466,596,992 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,006,314,410,119,466,596,992 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13006314410119466596992 cubic inches would be around 1959762.8 feet tall.
Recreational maths with 13006314410119466596992
- 13006314410119466596992 backwards is 29969566491101441360031
- The number of decimal digits it has is: 23
- The sum of 13006314410119466596992's digits is 90
- More coming soon!
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The information we have on file for 13006314410119466596992 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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