13813697875841424
13,813,697,875,841,424 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13813697875841424 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 960 divisors.
13813697875841424 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13813697875841424:
24 × 32 × 11 × 37 × 61 × 181 × 1093 × 19531
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 37 × 61 × 181 × 1093 × 19531)See below for interesting mathematical facts about the number 13813697875841424 from the Numbermatics database.
Names of 13813697875841424
- Cardinal: 13813697875841424 can be written as Thirteen quadrillion, eight hundred thirteen trillion, six hundred ninety-seven billion, eight hundred seventy-five million, eight hundred forty-one thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.3813697875841424 × 1016
Factors of 13813697875841424
Divisors of 13813697875841424
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 61 66 72 74 88 99 111 122 132 144 148 176 181 183 198 222 244 264 296 333 362 366 396 407 444 488 528 543 549 592 666 671 724 732 792 814 888 976 1086 1093 1098 1221 1332 1342 1448 1464 1584 1628 1629 1776 1991 2013 2172 2186 2196 2257 2442 2664 2684 2896 2928 3256 3258 3279 3663 3982 4026 4344 4372 4392 4514 4884 5328 5368 5973 6039 6512 6516 6558 6697 6771 7326 7964 8052 8688 8744 8784 9028 9768 9837 10736 11041 11946 12023 12078 13032 13116 13394 13542 14652 15928 16104 17488 17919 18056 19531 19536 19674 20091 20313 22082 23892 24046 24156 24827 26064 26232 26788 27084 29304 31856 32208 33123 35838 36069 36112 39062 39348 40182 40441 40626 44164 47784 48092 48312 49654 52464 53576 54168 58593 58608 60273 66246 66673 71676 72138 73667 74481 78124 78696 80364 80882 81252 88328 95568 96184 96624 99308 99369 107152 108207 108336 117186 120546 121323 121451 132492 133346 143352 144276 147334 148962 156248 157392 160728 161764 162504 175779 176656 192368 197833 198616 198738 200019 214841 216414 221001 223443 234372 241092 242646 242902 264984 266692 286704 288552 294668 297924 312496 321456 323528 325008 351558 363969 364353 395666 397232 397476 400038 408517 429682 432828 442002 444851 446886 468744 482184 485292 485804 529968 533384 577104 589336 593499 595848 600057 644523 647056 663003 703116 722647 727938 728706 733403 791332 794952 800076 817034 859364 865656 884004 889702 893772 937488 964368 970584 971608 1066768 1093059 1178672 1186998 1191391 1191696 1200114 1225551 1289046 1326006 1334553 1406232 1445294 1455876 1457412 1466806 1582664 1589904 1600152 1634068 1718728 1731312 1768008 1779404 1780497 1787544 1933569 1941168 1943216 2167941 2176163 2186118 2200209 2373996 2382782 2400228 2451102 2466901 2578092 2652012 2669106 2812464 2890588 2911752 2914824 2933612 3165328 3200304 3268136 3437456 3535111 3536016 3558808 3560994 3574173 3575088 3676653 3867138 4003659 4335882 4352326 4372236 4400418 4493687 4747992 4765564 4800456 4902204 4933802 5156184 5304024 5338212 5781176 5823504 5829648 5867224 6503823 6528489 6536272 6600627 7070222 7117616 7121988 7148346 7319821 7353306 7400703 7734276 7949117 8007318 8671764 8704652 8744472 8800836 8987374 9495984 9531128 9600912 9804408 9867604 10312368 10605333 10608048 10676424 10722519 11562352 11734448 12067813 13007646 13056978 13105301 13201254 13481061 14140444 14243976 14296692 14639642 14706612 14801406 15468552 15898234 16014636 17343528 17409304 17488944 17601672 17974748 19062256 19585467 19608816 19735208 21210666 21347383 21352848 21445038 21959463 22202109 23847351 24135626 26015292 26113956 26210602 26402508 26962122 27135911 28280888 28487952 28593384 29279284 29413224 29602812 30937104 31796468 31815999 32029272 34687056 34818608 35203344 35949496 36203439 38886221 39170934 39315903 39470416 40443183 42421332 42694766 42890076 43918926 44081467 44404218 47694702 48271252 52030584 52227912 52421204 52805016 53924244 54271822 56561776 57186768 58558568 58826448 59205624 63592936 63631998 64042149 64058544 65878389 71542053 71898992 72406878 77772442 78341868 78631806 80518031 80886366 81407733 84842664 85389532 85780152 87837852 88162934 88808436 95389404 96542504 104061168 104455824 104842408 105610032 107848488 108543644 108610317 116658663 117117136 117947709 118411248 127185872 127263996 128084298 130799107 131756778 132244401 132745943 143084106 144813756 155544884 156683736 157263612 161036062 161772732 162815466 169685328 170779064 171560304 175675704 176325868 177616872 190778808 192126447 193085008 209684816 215641771 215696976 217087288 217220634 233317326 234821213 235895418 241554093 244223199 254527992 256168596 261598214 263513556 264488802 265491886 286168212 289627512 311089768 313367472 314527224 322072124 323545464 325630932 341558128 349975989 351351408 352651736 355233744 381557616 384252894 392397321 396733203 398237829 431283542 434174576 434441268 446509081 466634652 469642426 471790836 483108186 484896137 488446398 509055984 512337192 523196428 527027112 528977604 530983772 572336424 579255024 622179536 629054448 644144248 646925313 647090928 651261864 699951978 704463639 705303472 724662279 768505788 784794642 789853171 793466406 796475658 862567084 868882536 893018162 933269304 939284852 943581672 966216372 969792274 976892796 1024674384 1046392856 1054054224 1057955208 1061967544 1144672848 1177191963 1194713487 1288288496 1293850626 1302190363 1302523728 1339527243 1399903956 1408927278 1438790177 1449324558 1454688411 1537011576 1569589284 1579706342 1586932812 1592951316 1725134168 1737765072 1786036324 1866538608 1878569704 1887163344 1932432744 1939584548 1940775939 1953785592 2092785712 2113390917 2115910416 2123935088 2354383926 2369559513 2372059481 2389426974 2587701252 2604380726 2679054486 2799807912 2817854556 2877580354 2898649116 2909376822 3074023152 3139178568 3159412684 3173865624 3185902632 3450268336 3572072648 3757139408 3863876323 3864865488 3879169096 3881551878 3906571089 3907571184 4018581729 4226781834 4316370531 4364065233 4708767852 4739119026 4744118962 4778853948 4911599891 5175402504 5208761452 5358108972 5599615824 5635709112 5755160708 5797298232 5818753644 6278357136 6318825368 6347731248 6371805264 7108678539 7116178443 7144145296 7727752646 7758338192 7763103756 7813142178 7978745527 8037163458 8453563668 8632741062 8688384881 8728130466 9417535704 9478238052 9488237924 9557707896 9823199782 10350805008 10417522904 10716217944 11271418224 11510321416 11591628969 11594596464 11637507288 11719713267 12637650736 12949111593 14217357078 14232356886 14324093993 14734799673 15455505292 15526207512 15626284356 15957491054 16074326916 16907127336 17265482124 17376769762 17456260932 18835071408 18956476104 18976475848 19115415792 19646399564 20835045808 21348535329 21432435888 23020642832 23183257938 23275014576 23439426534 23936236581 25898223186 26065154643 28434714156 28464713772 28648187986 29469599346 30911010584 31052415024 31252568712 31914982108 32148653832 33814254672 34530964248 34753539524 34774886907 34912521864 37912952208 37952951696 39292799128 42502639553 42697070658 42972281979 44204399019 46366515876 46878853068 47872473162 48181043431 51796446372 52130309286 56869428312 56929427544 57296375972 58939198692 61822021168 62505137424 63829964216 64297307664 69061928496 69507079048 69549773814 69825043728 71808709743 78195463929 78585598256 85005279106 85394141316 85944563958 87766200797 88408798038 92733031752 93757706136 95744946324 96362086862 103592892744 104260618572 113738856624 113858855088 114592751944 117878397384 127507918659 127659928432 128916845937 139014158096 139099547628 142963423951 143617419486 144543130293 156390927858 170010558212 170788282632 171889127916 175532401594 176817596076 185466063504 187515412272 191489892648 192724173724 207185785488 208521237144 229185503888 235696455703 235756794768 255015837318 257833691874 263298602391 278199095256 285926847902 287234838972 289086260586 312781855716 340021116424 341576565264 343778255832 351064803188 353635192152 382523755977 382979785296 385448347448 417042474288 428890271853 433629390879 471392911406 510031674636 515667383748 526597204782 529991477741 556398190512 571853695804 574469677944 578172521172 625563711432 680042232848 687556511664 702129606376 707089367109 707270384304 765047511954 770896694896 789895807173 857780543706 867258781758 942785822812 1020063349272 1031334767496 1053194409564 1059982955482 1143707391608 1148939355888 1156345042344 1251127422864 1286670815559 1404259212752 1414178734218 1530095023908 1572597663461 1579791614346 1589974433223 1715561087412 1734517563516 1885571645624 2040126698544 2062669534992 2106388819128 2119965910964 2121268101327 2287414783216 2312690084688 2573341631118 2592661012733 2828357468436 3060190047816 3145195326922 3159583228692 3179948866446 3431122174824 3469035127032 3771143291248 4212777638256 4239931821928 4242536202654 4717792990383 4769923299669 5146683262236 5185322025466 5656714936872 6120380095632 6290390653844 6319166457384 6359897732892 6862244349648 6938070254064 7777983038199 8479863643856 8485072405308 8720768861011 9435585980766 9539846599338 10293366524472 10370644050932 11313429873744 12580781307688 12638332914768 12719795465784 14153378971149 15555966076398 16970144810616 17441537722022 18871171961532 19079693198676 20586733048944 20741288101864 23333949114597 25161562615376 25439590931568 26162306583033 28306757942298 31111932152796 33940289621232 34883075444044 37742343923064 38159386397352 41482576203728 46667898229194 52324613166066 56613515884596 62223864305592 69766150888088 75484687846128 76318772794704 78486919749099 93335796458388 95928457471121 104649226332132 113227031769192 124447728611184 139532301776176 156973839498198 186671592916776 191856914942242 209298452664264 226454063538384 287785372413363 313947678996396 373343185833552 383713829884484 418596905328528 575570744826726 627895357992792 767427659768968 863356117240089 1151141489653452 1255790715985584 1534855319537936 1726712234480178 2302282979306904 3453424468960356 4604565958613808 6906848937920712 13813697875841424
- Sum of all divisors σ(n): 44309515766320896
- Sum of proper divisors (its aliquot sum) s(n): 30495817890479472
- 13813697875841424 is an abundant number, because the sum of its proper divisors (30495817890479472) is greater than itself. Its abundance is 16682120014638048
Bases of 13813697875841424
- Binary: 1100010001001101111100001010101110110010010001100100002
- Hexadecimal: 0x31137C2AEC9190
- Base-36: 3S0JP745Z80
Squares and roots of 13813697875841424
- 13813697875841424 squared (138136978758414242) is 190818249005025869467255994347776
- 13813697875841424 cubed (138136978758414243) is 2635905640952505771730666398393501749964083073024
-
The
square root of 13813697875841424 is 117531688.8155761335 -
The
cube root of 13813697875841424 is 239940.3664098069
Scales and comparisons
How big is 13813697875841424?- 13,813,697,875,841,424 seconds is equal to 439,232,863 years, 45 weeks, 4 days, 20 hours, 50 minutes, 24 seconds.
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To count from 1 to 13,813,697,875,841,424 would take you about one billion, three hundred seventeen million, six hundred ninety-eight thousand, five hundred ninety-one 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 13813697875841424 cubic inches would be around 19995 feet tall.
Recreational maths with 13813697875841424
- 13813697875841424 backwards is 42414857879631831
- The number of decimal digits it has is: 17
- The sum of 13813697875841424's digits is 81
- More coming soon!
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The information we have on file for 13813697875841424 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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