13728128217668800
13,728,128,217,668,800 is an even composite number composed of five prime numbers multiplied together.
13728128217668800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13728128217668800:
26 × 52 × 133 × 793 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 79 × 79 × 79 × 89 × 89)See below for interesting mathematical facts about the number 13728128217668800 from the Numbermatics database.
Names of 13728128217668800
- Cardinal: 13728128217668800 can be written as Thirteen quadrillion, seven hundred twenty-eight trillion, one hundred twenty-eight billion, two hundred seventeen million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37281282176688 × 1016
Factors of 13728128217668800
Divisors of 13728128217668800
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 79 80 89 100 104 130 158 160 169 178 200 208 260 316 320 325 338 356 395 400 416 445 520 632 650 676 712 790 800 832 845 890 1027 1040 1157 1264 1300 1352 1424 1580 1600 1690 1780 1975 2054 2080 2197 2225 2314 2528 2600 2704 2848 3160 3380 3560 3950 4108 4160 4225 4394 4450 4628 5056 5135 5200 5408 5696 5785 6241 6320 6760 7031 7120 7900 7921 8216 8450 8788 8900 9256 10270 10400 10816 10985 11570 12482 12640 13351 13520 14062 14240 15041 15800 15842 16432 16900 17576 17800 18512 20540 20800 21970 23140 24964 25280 25675 26702 27040 28124 28480 28925 30082 31205 31600 31684 32864 33800 35152 35155 35600 37024 39605 41080 43940 46280 49928 51350 53404 54080 54925 56248 57850 60164 62410 63200 63368 65728 66755 67600 70304 70310 71200 74048 75205 79210 81133 82160 87880 91403 92560 99856 102700 102973 106808 109850 112496 115700 120328 124820 126400 126736 133510 135200 140608 140620 142400 150410 156025 158420 162266 164320 173563 175760 175775 182806 185120 195533 198025 199712 205400 205946 213616 219700 224992 231400 240656 249640 253472 267020 270400 281240 300820 312050 316840 324532 328640 333775 347126 351520 351550 365612 370240 376025 391066 396050 399424 405665 410800 411892 427232 439400 449984 457015 462800 481312 493039 499280 506944 514865 534040 555449 562480 601640 624100 625759 633680 649064 667550 694252 703040 703100 731224 752050 782132 792100 811330 821600 823784 854464 867815 878800 914030 925600 962624 977665 986078 998560 1029730 1054729 1068080 1110898 1124960 1188239 1203280 1248200 1251518 1267360 1298128 1335100 1338649 1388504 1406200 1462448 1504100 1564264 1584200 1622660 1643200 1647568 1735630 1757600 1828060 1851200 1955330 1972156 1997120 2028325 2059460 2109458 2136160 2221796 2249920 2285075 2376478 2406560 2465195 2496400 2503036 2534720 2574325 2596256 2670200 2677298 2777008 2777245 2812400 2924896 3008200 3128528 3128795 3168400 3245320 3295136 3471260 3515200 3656120 3910660 3944312 4056650 4118920 4218916 4272320 4339075 4443592 4570150 4752956 4813120 4888325 4930390 4992800 5006072 5148650 5192512 5273645 5340400 5354596 5554016 5554490 5624800 5849792 5941195 6016400 6257056 6257590 6336800 6409507 6490640 6590272 6693245 6942520 7220837 7312240 7821320 7888624 8113300 8134867 8237840 8437832 8678150 8887184 9140300 9505912 9776650 9860780 9985600 10012144 10297300 10547290 10680800 10709192 11108032 11108980 11249600 11882390 12032800 12325975 12514112 12515180 12673600 12819014 12981280 13386490 13711477 13885040 13886225 14441674 14624480 15447107 15642640 15643975 15777248 16226600 16269734 16475680 16875664 17356300 17402437 17774368 18280600 19011824 19553300 19721560 20024288 20594600 21094580 21361600 21418384 22217960 23764780 24065600 24651950 25030360 25638028 25962560 26368225 26772980 27422954 27770080 27772450 28883348 29248960 29705975 30894214 31285280 31287950 31554496 32047535 32453200 32539468 32951360 33466225 33751328 34712600 34804874 35548736 36104185 36561200 38023648 39106600 39443120 40048576 40674335 41189200 42189160 42836768 43880471 44435920 47529560 49303900 49434961 50060720 51276056 52736450 53545960 54845908 55540160 55544900 57766696 59411950 61788428 62570560 62575900 64095070 64906400 65078936 66932450 67502656 68557385 69425200 69609748 72208370 73122400 76047296 77235535 78213200 78886240 81348670 82378400 83323591 84378320 85673536 87012185 87760942 88871840 93870881 95059120 98607800 98869922 100121440 102552112 105472900 105753271 107091920 109691816 111089800 115533392 118823900 123576856 125151800 128190140 129812800 130157872 133864900 137114770 138850400 139219496 144416740 146244800 154471070 156426400 157772480 160237675 162697340 164756800 166647182 168756640 174024370 175521884 177743680 180520925 187741762 190118240 197215600 197739844 200242880 203371675 205104224 210945800 211506542 214183840 219383632 219402355 222179600 231066784 237647800 247153712 247174805 250303600 256380280 260315744 267729800 274229540 277700800 278438992 288833480 308942140 312852800 320475350 325394680 333294364 337513280 342786925 348048740 351043768 361041850 375483524 380236480 386177675 394431200 395479688 406743350 410208448 416617955 421891600 423013084 428367680 435060925 438767264 438804710 444359200 462133568 469354405 475295600 494307424 494349610 500607200 512760560 520631488 528766355 535459600 548459080 556877984 570446123 577666960 617884280 640950700 642654493 650789360 666588728 685573850 696097480 702087536 722083700 750967048 772355350 788862400 790959376 813486700 833235910 843783200 846026168 870121850 877534528 877609420 888718400 938708810 950591200 988614848 988699220 1001214400 1025521120 1057532710 1070919200 1083206683 1096918160 1097011775 1113755968 1140892246 1155333920 1220321453 1235768560 1235874025 1281901400 1285308986 1301578720 1333177456 1371147700 1374792523 1392194960 1404175072 1444167400 1501934096 1544710700 1581918752 1626973400 1666471820 1687566400 1692052336 1740243700 1755218840 1877417620 1901182400 1977398440 2051042240 2083089775 2115065420 2141838400 2166413366 2193836320 2194023550 2281784492 2310667840 2346772025 2440642906 2471537120 2471748050 2563802800 2570617972 2603157440 2643831775 2666354912 2742295400 2749585046 2784389920 2808350144 2852230615 2888334800 3003868192 3089421400 3163837504 3213272465 3253946800 3332943640 3384104672 3480487400 3510437680 3754835240 3905361919 3954796880 4166179550 4230130840 4332826732 4387672640 4388047100 4563568984 4693544050 4881285812 4943074240 4943496100 5127605600 5141235944 5287663550 5332709824 5416033415 5484590800 5499170092 5568779840 5704461230 5776669600 6007736384 6101607265 6178842800 6426544930 6507893600 6665887280 6768209344 6873962615 6960974800 7020875360 7415799599 7509670480 7810723838 7909593760 8332359100 8354508409 8460261680 8665653464 8776094200 9127137968 9387088100 9762571624 9886992200 10255211200 10282471888 10575327100 10832066830 10969181600 10998340184 11408922460 11553339200 12203214530 12357685600 12853089860 13015787200 13331774560 13747925230 13921949600 14041750720 14261153075 14831599198 15019340960 15621447676 15819187520 16066362325 16664718200 16709016818 16920523360 17331306928 17552188400 18254275936 18774176200 19525143248 19526809595 19773984400 20564943776 21150654200 21664133660 21938363200 21996680368 22817844920 24406429060 24715371200 25706179720 26663549120 27080167075 27495850460 27843899200 28522306150 29663198396 30038681920 30508036325 31242895352 32132724650 33329436400 33418033636 33841046720 34369813075 34662613856 35104376800 36508551872 37078997995 37548352400 39050286496 39053619190 39547968800 41129887552 41772542045 42301308400 43328267320 43993360736 45635689840 48812858120 50769704947 51412359440 54160334150 54991700920 57044612300 59326396792 61016072650 62485790704 64265449300 66658872800 66836067272 68739626150 69325227712 70208753600 74157995990 75096704800 78100572992 78107238380 79095937600 83545084090 84602616800 86656534640 87986721472 91271379680 96405394787 97625716240 97634047975 101539409894 102824718880 108320668300 108608609317 109983401840 114089224600 118652793584 122032145300 124971581408 128530898600 133317745600 133672134544 137479252300 148315991980 150193409600 156214476760 167090168180 169205233600 173313069280 182542759360 185394989975 192810789574 195251432480 195268095950 203078819788 205649437760 208862710225 216641336600 217217218634 219966803680 228178449200 237305587168 244064290600 249943162816 253848524735 257061797200 267344269088 274958504600 296631983960 312428953520 334180336360 346626138560 370789979950 385621579148 390502864960 390536191900 406157639576 417725420450 433282673200 434434437268 439933607360 456356898400 474611174336 482026973935 488128581200 507697049470 514123594400 534688538176 543043046585 549917009200 593263967920 624857907040 660006164311 668360672720 741579959900 771243158296 781072383800 812315279152 835450840900 866565346400 868868874536 912713796800 964053947870 976257162400 1015394098940 1028247188800 1086086093170 1099834018400 1186527935840 1249715814080 1269242623675 1320012328622 1336721345440 1483159919800 1542486316592 1562144767600 1624630558304 1670901681800 1733130692800 1737737749072 1928107895740 1952514324800 2030788197880 2172172186340 2199668036800 2373055871680 2410134869675 2538485247350 2640024657244 2673442690880 2715215232925 2966319839600 3084972633184 3124289535200 3249261116608 3300030821555 3341803363600 3475475498144 3856215791480 4061576395760 4344344372680 4820269739350 5076970494700 5280049314488 5430430465850 5932639679200 6169945266368 6248579070400 6600061643110 6683606727200 6950950996288 7712431582960 8123152791520 8580080136043 8688688745360 9640539478700 10153940989400 10560098628976 10860860931700 11865279358400 13200123286220 13367213454400 15424863165920 16246305583040 16500154107775 17160160272086 17377377490720 19281078957400 20307881978800 21120197257952 21721721863400 26400246572440 30849726331840 33000308215550 34320320544172 34754754981440 38562157914800 40615763957600 42240394515904 42900400680215 43443443726800 52800493144880 66000616431100 68640641088344 77124315829600 81231527915200 85800801360430 86886887453600 105600986289760 132001232862200 137281282176688 154248631659200 171601602720860 173773774907200 211201972579520 214502003401075 264002465724400 274562564353376 343203205441720 429004006802150 528004931448800 549125128706752 686406410883440 858008013604300 1056009862897600 1372812821766880 1716016027208600 2745625643533760 3432032054417200 6864064108834400 13728128217668800
- Sum of all divisors σ(n): 37483734657577600
- Sum of proper divisors (its aliquot sum) s(n): 23755606439908800
- 13728128217668800 is an abundant number, because the sum of its proper divisors (23755606439908800) is greater than itself. Its abundance is 10027478222240000
Bases of 13728128217668800
- Binary: 1100001100010110101000111011011101100001011100110000002
- Hexadecimal: 0x30C5A8EDD85CC0
- Base-36: 3R67R1F170G
Squares and roots of 13728128217668800
- 13728128217668800 squared (137281282176688002) is 188461504360754343392506493440000
- 13728128217668800 cubed (137281282176688003) is 2587223695959183303048448403810297739292672000000
-
The
square root of 13728128217668800 is 117167095.2856167721 -
The
cube root of 13728128217668800 is 239443.8989049427
Scales and comparisons
How big is 13728128217668800?- 13,728,128,217,668,800 seconds is equal to 436,512,013 years, 22 weeks, 3 days, 16 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,728,128,217,668,800 would take you about one billion, three hundred nine million, five hundred thirty-six thousand and forty 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 13728128217668800 cubic inches would be around 19953.7 feet tall.
Recreational maths with 13728128217668800
- 13728128217668800 backwards is 00886671282182731
- The number of decimal digits it has is: 17
- The sum of 13728128217668800's digits is 70
- 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 13728128217668800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 13728128217668800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13728128217668800/
Chicago style:
Numbermatics. 2024. "Number 13728128217668800 - Facts about the integer". https://numbermatics.com/n/13728128217668800/
The information we have on file for 13728128217668800 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 13728128217668800, math, Factors of 13728128217668800, curriculum, school, college, exams, university, Prime factorization of 13728128217668800, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred twenty-eight trillion, one hundred twenty-eight billion, two hundred seventeen million, six hundred sixty-eight thousand, eight hundred.