13664031716543328
13,664,031,716,543,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13664031716543328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13664031716543328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13664031716543328:
25 × 33 × 31 × 43 × 127 × 139 × 672073
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 43 × 127 × 139 × 672073)See below for interesting mathematical facts about the number 13664031716543328 from the Numbermatics database.
Names of 13664031716543328
- Cardinal: 13664031716543328 can be written as Thirteen quadrillion, six hundred sixty-four trillion, thirty-one billion, seven hundred sixteen million, five hundred forty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3664031716543328 × 1016
Factors of 13664031716543328
Divisors of 13664031716543328
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 43 48 54 62 72 86 93 96 108 124 127 129 139 144 172 186 216 248 254 258 278 279 288 344 372 381 387 417 432 496 508 516 556 558 688 744 762 774 834 837 864 992 1016 1032 1112 1116 1143 1161 1251 1333 1376 1488 1524 1548 1668 1674 2032 2064 2224 2232 2286 2322 2502 2666 2976 3048 3096 3336 3348 3429 3753 3937 3999 4064 4128 4309 4448 4464 4572 4644 5004 5332 5461 5977 6096 6192 6672 6696 6858 7506 7874 7998 8618 8928 9144 9288 10008 10664 10922 11811 11954 11997 12192 12384 12927 13344 13392 13716 15012 15748 15996 16383 17236 17653 17931 18288 18576 20016 21328 21844 23622 23908 23994 25854 26784 27432 30024 31496 31992 32766 34472 35306 35433 35862 35991 36576 37152 38781 40032 42656 43688 47244 47816 47988 49149 51708 52959 53793 54864 60048 62992 63984 65532 68944 70612 70866 71724 71982 77562 87376 94488 95632 95976 98298 103416 105918 106299 107586 109728 116343 120096 125984 127968 131064 137888 141224 141732 143448 143964 147447 155124 158877 161379 169291 174752 185287 188976 191264 191952 196596 206832 211836 212598 215172 232686 262128 282448 283464 286896 287928 294894 310248 317754 322758 338582 370574 377952 383904 393192 413664 423672 425196 430344 465372 476631 507873 524256 547243 555861 564896 566928 573792 575856 589788 620496 635508 645516 672073 677164 741148 759079 786384 847344 850392 860688 930744 953262 1015746 1094486 1111722 1133856 1151712 1179576 1240992 1271016 1291032 1344146 1354328 1482296 1518158 1523619 1572768 1641729 1667583 1694688 1700784 1721376 1861488 1906524 2016219 2031492 2188972 2223444 2277237 2359152 2542032 2582064 2688292 2708656 2964592 3036316 3047238 3283458 3335166 3401568 3722976 3813048 4032438 4062984 4377944 4446888 4554474 4570857 4718304 4925187 5002749 5084064 5164128 5376584 5417312 5929184 6048657 6072632 6094476 6566916 6670332 6831711 7626096 8064876 8125968 8755888 8893776 9108948 9141714 9850374 10005498 10753168 12097314 12145264 12188952 13133832 13340664 13663422 14775561 15252192 16129752 16251936 17511776 17787552 18145971 18217896 18283428 19700748 20010996 20495133 20834263 21506336 23531449 24194628 24290528 24377904 26267664 26681328 27326844 28899139 29551122 32259504 36291942 36435792 36566856 39401496 40021992 40990266 41668526 47062898 48389256 48755808 52535328 53362656 54653688 57798278 59102244 62502789 64519008 70594347 72583884 72871584 73133712 78802992 80043984 81980532 83337052 85353271 86697417 93418147 94125796 96778512 109307376 115596556 118204488 125005578 141188694 145167768 146267424 157605984 160087968 163961064 166674104 170706542 173394834 186836294 187508367 188251592 193557024 211783041 218614752 231193112 236408976 250011156 256059813 260092251 280254441 282377388 290335536 327922128 333348208 341413084 346789668 373672588 375016734 376503184 423566082 462386224 472817952 500022312 512119626 520184502 560508882 562525101 564754776 580671072 635349123 655844256 666696416 682826168 693579336 747345176 750033468 753006368 768179439 780276753 840763323 847132164 895873309 924772448 1000044624 1024239252 1040369004 1121017764 1125050202 1129509552 1270698246 1365652336 1387158672 1494690352 1500066936 1536358878 1560553506 1681526646 1694264328 1791746618 2000089248 2048478504 2080738008 2242035528 2250100404 2259019104 2304538317 2522289969 2541396492 2645951401 2687619927 2731304672 2774317344 2895962557 2989380704 3000133872 3072717756 3121107012 3363053292 3388528656 3583493236 3670190653 4016980321 4096957008 4161476016 4484071056 4500200808 4609076634 5044579938 5082792984 5291902802 5375239854 5791925114 6000267744 6145435512 6242214024 6726106584 6777057312 7166986472 7340381306 7937854203 8033960642 8062859781 8193914016 8322952032 8687887671 8968142112 9000401616 9218153268 10089159876 10165585968 10583805604 10750479708 11010571959 11583850228 11864104669 12050940963 12290871024 12484428048 13452213168 14333972944 14680762612 15875708406 16067921284 16125719562 17375775342 18000803232 18436306536 20178319752 20331171936 21167611208 21500959416 22021143918 23167700456 23728209338 23813562609 24101881926 24188579343 24581742048 24968856096 26063663013 26904426336 28667945888 29361525224 31751416812 32135842568 32251439124 33031715877 34751550684 35592314007 36152822889 36872613072 40356639504 42335222416 43001918832 44042287836 46335400912 47456418676 47627125218 48203763852 48377158686 52127326026 58723050448 63502833624 64271685136 64502878248 66063431754 69503101368 71184628014 71440687827 72305645778 73745226144 78190989039 80713279008 84670444832 86003837664 88084575672 92670801824 94912837352 95254250436 96407527704 96754317372 99095147631 104254652052 106776942021 108458468667 113775910243 117446100896 124526389951 127005667248 128543370272 129005756496 132126863508 139006202736 142369256028 142881375654 144611291556 156381978078 176169151344 189825674704 190508500872 192815055408 193508634744 198190295262 208509304104 213553884042 216916937334 227551820486 249052779902 254011334496 258011512992 264253727016 278012405472 284738512056 285762751308 289222583112 312763956156 320330826063 341327730729 352338302688 367787244739 373579169853 379651349408 381017001744 385630110816 387017269488 396380590524 417018608208 427107768084 433833874668 455103640972 498105559804 510156500767 528507454032 569477024112 571525502616 578445166224 625527912312 640661652126 682655461458 735574489478 747158339706 762034003488 774034538976 792761181048 834037216416 854215536168 867667749336 910207281944 996211119608 1020313001534 1023983192187 1057014908064 1103361734217 1120737509559 1138954048224 1143051005232 1156890332448 1251055824624 1281323304252 1365310922916 1471148978956 1494316679412 1530469502301 1585522362096 1708431072336 1735335498672 1820414563888 1992422239216 2040626003068 2047966384374 2206723468434 2241475019118 2286102010464 2502111649248 2562646608504 2730621845832 2942297957912 2988633358824 3060939004602 3071949576561 3171044724192 3310085202651 3362212528677 3416862144672 3470670997344 3640829127776 3984844478432 4081252006136 4095932768748 4413446936868 4482950038236 4591408506903 5125293217008 5461243691664 5884595915824 5977266717648 6121878009204 6143899153122 6620170405302 6724425057354 8162504012272 8191865537496 8826893873736 8965900076472 9182817013806 9930255607953 10250586434016 10922487383328 11769191831648 11954533435296 12243756018408 12287798306244 13240340810604 13448850114708 13774225520709 15814851523777 16325008024544 16383731074992 17653787747472 17931800152944 18365634027612 19860511215906 24487512036816 24575596612488 26480681621208 26897700229416 27548451041418 31629703047554 32767462149984 35307575494944 35863600305888 36731268055224 39721022431812 47444554571331 48975024073632 49151193224976 52961363242416 53795400458832 55096902082836 63259406095108 73462536110448 79442044863624 94889109142662 98302386449952 105922726484832 107590800917664 110193804165672 126518812190216 142333663713993 146925072220896 158884089727248 189778218285324 220387608331344 253037624380432 284667327427986 317768179454496 379556436570648 427000991141979 440775216662688 506075248760864 569334654855972 759112873141296 854001982283958 1138669309711944 1518225746282592 1708003964567916 2277338619423888 3416007929135832 4554677238847776 6832015858271664 13664031716543328
- Sum of all divisors σ(n): 42732499422412800
- Sum of proper divisors (its aliquot sum) s(n): 29068467705869472
- 13664031716543328 is an abundant number, because the sum of its proper divisors (29068467705869472) is greater than itself. Its abundance is 15404435989326144
Bases of 13664031716543328
- Binary: 1100001000101101011101010011001010101000001011011000002
- Hexadecimal: 0x308B5D4CAA0B60
- Base-36: 3QJHTIH6OO0
Squares and roots of 13664031716543328
- 13664031716543328 squared (136640317165433282) is 186705762750702006704676901315584
- 13664031716543328 cubed (136640317165433283) is 2551153463887006089541363245007580592500137623552
-
The
square root of 13664031716543328 is 116893249.2342621469 -
The
cube root of 13664031716543328 is 239070.6636552637
Scales and comparisons
How big is 13664031716543328?- 13,664,031,716,543,328 seconds is equal to 434,473,942 years, 49 weeks, 6 days, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,664,031,716,543,328 would take you about one billion, three hundred three million, four hundred twenty-one thousand, eight hundred twenty-eight 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 13664031716543328 cubic inches would be around 19922.6 feet tall.
Recreational maths with 13664031716543328
- 13664031716543328 backwards is 82334561713046631
- The number of decimal digits it has is: 17
- The sum of 13664031716543328's digits is 63
- More coming soon!
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The information we have on file for 13664031716543328 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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