13513910986721664
13,513,910,986,721,664 is an even composite number composed of six prime numbers multiplied together.
13513910986721664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13513910986721664:
27 × 33 × 17 × 23 × 431 × 48172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 23 × 431 × 4817 × 4817)See below for interesting mathematical facts about the number 13513910986721664 from the Numbermatics database.
Names of 13513910986721664
- Cardinal: 13513910986721664 can be written as Thirteen quadrillion, five hundred thirteen trillion, nine hundred ten billion, nine hundred eighty-six million, seven hundred twenty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3513910986721664 × 1016
Factors of 13513910986721664
Divisors of 13513910986721664
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 23 24 27 32 34 36 46 48 51 54 64 68 69 72 92 96 102 108 128 136 138 144 153 184 192 204 207 216 272 276 288 306 368 384 391 408 414 431 432 459 544 552 576 612 621 736 782 816 828 862 864 918 1088 1104 1152 1173 1224 1242 1293 1472 1564 1632 1656 1724 1728 1836 2176 2208 2346 2448 2484 2586 2944 3128 3264 3312 3448 3456 3519 3672 3879 4416 4692 4817 4896 4968 5172 6256 6528 6624 6896 7038 7327 7344 7758 8832 9384 9634 9792 9913 9936 10344 10557 11637 12512 13248 13792 14076 14451 14654 14688 15516 18768 19268 19584 19826 19872 20688 21114 21981 23274 25024 26496 27584 28152 28902 29308 29376 29739 31032 37536 38536 39652 39744 41376 42228 43353 43962 46548 50048 55168 56304 57804 58616 58752 59478 62064 65943 75072 77072 79304 79488 81889 82752 84456 86706 87924 89217 93096 110791 112608 115608 117232 118956 124128 130059 131886 150144 154144 158608 163778 165504 168521 168912 173412 175848 178434 186192 197829 221582 225216 231216 234464 237912 245667 248256 260118 263772 267651 308288 317216 327556 332373 337042 337824 346824 351696 356868 372384 395658 443164 450432 462432 468928 475824 491334 496512 505563 520236 527544 535302 616576 634432 655112 664746 674084 675648 693648 703392 713736 737001 744768 791316 886328 924864 937856 951648 982668 997119 1011126 1040472 1055088 1070604 1268864 1310224 1329492 1348168 1351296 1387296 1406784 1427472 1474002 1489536 1516689 1582632 1772656 1849728 1883447 1903296 1965336 1994238 2022252 2076127 2080944 2110176 2141208 2211003 2620448 2658984 2696336 2774592 2813568 2854944 2948004 2991357 3033378 3165264 3545312 3766894 3806592 3930672 3988476 4044504 4152254 4161888 4220352 4282416 4422006 4550067 5240896 5317968 5392672 5549184 5650341 5709888 5896008 5982714 6066756 6228381 6330528 7090624 7533788 7861344 7976952 8089008 8304508 8323776 8440704 8564832 8844012 9100134 10481792 10635936 10785344 11300682 11419776 11792016 11965428 12133512 12456762 12661056 14181248 15067576 15722688 15953904 16178016 16609016 16647552 16951023 17129664 17688024 18200268 18685143 21271872 21570688 22601364 23203489 23584032 23930856 24267024 24913524 25322112 30135152 31445376 31907808 32356032 33218032 33902046 34259328 35294159 35376048 36400536 37370286 42543744 45202728 46406978 47168064 47750921 47861712 48534048 49827048 50853069 56055429 60270304 63815616 64712064 66436064 67804092 69610467 70588318 70752096 72801072 74740572 90405456 92813956 94336128 95501842 95723424 97068096 99654096 101706138 105882477 112110858 120540608 127631232 132872128 135608184 139220934 141176636 141504192 143252763 145602144 149481144 180810912 185627912 191003684 191446848 194136192 199308192 203412276 208831401 211764954 224221716 241081216 265744256 271216368 278441868 282353272 283008384 286505526 291204288 298962288 317647431 361621824 371255824 382007368 382893696 394459313 398616384 406824552 417662802 423529908 429758289 448443432 533680247 542432736 556883736 564706544 573011052 582408576 597924576 626494203 635294862 723243648 742511648 764014736 788918626 797232768 811765657 813649104 835325604 847059816 859516578 896886864 952942293 1067360494 1084865472 1113767472 1129413088 1146022104 1183377939 1195849152 1252988406 1270589724 1289274867 1485023296 1528029472 1577837252 1601040741 1623531314 1627298208 1670651208 1694119632 1719033156 1793773728 1905884586 2134720988 2169730944 2227534944 2258826176 2292044208 2366755878 2391698304 2435296971 2505976812 2541179448 2578549734 2970046592 3056058944 3155674504 3202081482 3247062628 3254596416 3341302416 3388239264 3438066312 3550133817 3587547456 3811769172 4269441976 4455069888 4517652352 4584088416 4733511756 4803122223 4870593942 5011953624 5082358896 5157099468 6112117888 6311349008 6404162964 6494125256 6509192832 6682604832 6776478528 6876132624 7100267634 7175094912 7305890913 7623538344 8538883952 8910139776 9072564199 9168176832 9467023512 9606244446 9741187884 10000703759 10023907248 10164717792 10314198936 10650401451 12622698016 12808325928 12988250512 13365209664 13552957056 13752265248 14200535268 14409366669 14611781826 15247076688 17077767904 18145128398 18336353664 18934047024 19212488892 19482375768 20001407518 20047814496 20329435584 20628397872 21300802902 21917672739 25245396032 25616651856 25976501024 26730419328 27217692597 27504530496 28401070536 28818733338 29223563652 30002111277 30494153376 34155535808 36290256796 37868094048 38424977784 38964751536 40002815036 40095628992 40658871168 41256795744 42601605804 43835345478 50490792064 51233303712 51953002048 54435385194 55009060992 56802141072 57637466676 58447127304 60004222554 60988306752 68311071616 72580513592 75736188096 76849955568 77929503072 80005630072 80191257984 81653077791 82513591488 85203211608 87670690956 90006333831 102466607424 103906004096 108870770388 113604282144 115274933352 116894254608 120008445108 121976613504 145161027184 151472376192 153699911136 155859006144 160011260144 163306155582 165027182976 170011963903 170406423216 175341381912 180012667662 204933214848 217741540776 227208564288 230016186457 230549866704 233788509216 240016890216 244959233373 270019001493 290322054368 307399822272 311718012288 320022520288 326612311164 340023927806 340812846432 350682763824 360025335324 435483081552 454417128576 460032372914 461099733408 467577018432 480033780432 489918466746 510035891709 540038002986 580644108736 614799644544 640045040576 653224622328 680047855612 681625692864 690048559371 701365527648 720050670648 870966163104 920064745828 922199466816 935154036864 960067560864 979836933492 1020071783418 1080076005972 1161288217472 1280090081152 1306449244656 1360095711224 1363251385728 1380097118742 1402731055296 1440101341296 1530107675127 1741932326208 1840129491656 1844398933632 1920135121728 1959673866984 2040143566836 2070145678113 2160152011944 2612898489312 2720191422448 2760194237484 2805462110592 2880202682592 3060215350254 3483864652416 3680258983312 3840270243456 3910275169769 3919347733968 4080287133672 4140291356226 4320304023888 4590323025381 5225796978624 5440382844896 5520388474968 5760405365184 6120430700508 6210437034339 7360517966624 7820550339538 7838695467936 8160574267344 8280582712452 8640608047776 9180646050762 10451593957248 10880765689792 11040776949936 11520810730368 11730825509307 12240861401016 12420874068678 14721035933248 15641100679076 15677390935872 16321148534688 16561165424904 17281216095552 18361292101524 21761531379584 22081553899872 23461651018614 24481722802032 24841748137356 29442071866496 31282201358152 31354781871744 32642297069376 33122330849808 34562432191104 35192476527921 36722584203048 44163107799744 46923302037228 48963445604064 49683496274712 62564402716304 65284594138752 66244661699616 70384953055842 73445168406096 88326215599488 93846604074456 97926891208128 99366992549424 105577429583763 125128805432608 132489323399232 140769906111684 146890336812192 187693208148912 195853782416256 198733985098848 211154859167526 250257610865216 264978646798464 281539812223368 293780673624384 375386416297824 397467970197696 422309718335052 500515221730432 563079624446736 587561347248768 750772832595648 794935940395392 844619436670104 1126159248893472 1501545665191296 1689238873340208 2252318497786944 3378477746680416 4504636995573888 6756955493360832 13513910986721664
- Sum of all divisors σ(n): 44178516272793600
- Sum of proper divisors (its aliquot sum) s(n): 30664605286071936
- 13513910986721664 is an abundant number, because the sum of its proper divisors (30664605286071936) is greater than itself. Its abundance is 17150694299350272
Bases of 13513910986721664
- Binary: 1100000000001011010100100101111110001111001001100000002
- Hexadecimal: 0x3002D497E3C980
- Base-36: 3P2A502NHC0
Squares and roots of 13513910986721664
- 13513910986721664 squared (135139109867216642) is 182625790157036498312122206928896
- 13513910986721664 cubed (135139109867216643) is 2467988672061900657971046336708892335592590802944
-
The
square root of 13513910986721664 is 116249348.3281590873 -
The
cube root of 13513910986721664 is 238191.9160709187
Scales and comparisons
How big is 13513910986721664?- 13,513,910,986,721,664 seconds is equal to 429,700,568 years, 5 weeks, 3 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 13,513,910,986,721,664 would take you about one billion, two hundred eighty-nine million, one hundred one thousand, seven hundred four 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 13513910986721664 cubic inches would be around 19849.3 feet tall.
Recreational maths with 13513910986721664
- 13513910986721664 backwards is 46612768901931531
- 13513910986721664 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13513910986721664's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13513910986721664 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13513910986721664 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13513910986721664/
Chicago style:
Numbermatics. 2024. "Number 13513910986721664 - Facts about the integer". https://numbermatics.com/n/13513910986721664/
The information we have on file for 13513910986721664 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!
Keywords: Divisors of 13513910986721664, math, Factors of 13513910986721664, curriculum, school, college, exams, university, Prime factorization of 13513910986721664, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, five hundred thirteen trillion, nine hundred ten billion, nine hundred eighty-six million, seven hundred twenty-one thousand, six hundred sixty-four.