131083729830144
131,083,729,830,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 131083729830144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
131083729830144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 131083729830144:
28 × 35 × 7 × 133 × 181 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 181 × 757)See below for interesting mathematical facts about the number 131083729830144 from the Numbermatics database.
Names of 131083729830144
- Cardinal: 131083729830144 can be written as One hundred thirty-one trillion, eighty-three billion, seven hundred twenty-nine million, eight hundred thirty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.31083729830144 × 1014
Factors of 131083729830144
Divisors of 131083729830144
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 128 144 156 162 168 169 181 182 189 192 208 216 224 234 243 252 256 273 288 312 324 336 338 351 362 364 378 384 416 432 448 468 486 504 507 543 546 567 576 624 648 672 676 702 724 728 756 757 768 819 832 864 896 936 972 1008 1014 1053 1086 1092 1134 1152 1183 1248 1267 1296 1344 1352 1404 1448 1456 1512 1514 1521 1629 1638 1664 1701 1728 1792 1872 1944 2016 2028 2106 2172 2184 2197 2268 2271 2304 2353 2366 2457 2496 2534 2592 2688 2704 2808 2896 2912 3024 3028 3042 3159 3258 3276 3328 3402 3456 3549 3744 3801 3888 4032 4056 4212 4344 4368 4394 4536 4542 4563 4706 4732 4887 4914 4992 5068 5184 5299 5376 5408 5616 5792 5824 6048 6056 6084 6318 6516 6552 6591 6804 6813 6912 7059 7098 7371 7488 7602 7776 8064 8112 8424 8688 8736 8788 9072 9084 9126 9412 9464 9774 9828 9841 9984 10136 10368 10598 10647 10816 11232 11403 11584 11648 12096 12112 12168 12636 13032 13104 13182 13608 13626 13689 14118 14196 14661 14742 14976 15204 15379 15552 15897 16128 16224 16471 16848 17376 17472 17576 18144 18168 18252 18824 18928 19548 19656 19682 19773 20272 20439 20736 21177 21196 21294 21632 22113 22464 22806 23168 23296 24192 24224 24336 25272 26064 26208 26364 27216 27252 27378 28236 28392 29322 29484 29523 29952 30408 30589 30758 31104 31794 31941 32448 32942 33696 34209 34752 34944 35152 36288 36336 36504 37648 37856 39096 39312 39364 39546 40544 40878 41067 42354 42392 42588 43264 43983 44226 44928 45612 46137 46336 47691 48384 48448 48672 49413 50544 52128 52416 52728 54432 54504 54756 56472 56784 58644 58968 59046 59319 60816 61178 61317 61516 62208 63531 63588 63882 64896 65884 67392 68418 68887 69504 69888 70304 72576 72672 73008 75296 75712 78192 78624 78728 79092 81088 81756 82134 84708 84784 85176 87966 88452 88569 89856 91224 91767 92274 95382 95823 96896 97344 98826 101088 102627 104256 104832 105456 108864 109008 109512 112944 113568 117288 117936 118092 118638 121632 122356 122634 123032 127062 127176 127764 127933 129792 131768 134784 136836 137017 137774 138411 139008 140608 143073 145152 145344 146016 148239 150592 151424 156384 157248 157456 158184 162176 163512 164268 169416 169568 170352 175932 176904 177138 177957 182448 183534 183951 184548 190593 190764 191646 193792 194688 197652 202176 205254 206661 208512 209664 210912 214123 217728 218016 219024 225888 227136 234576 235872 236184 237276 243264 244712 245268 246064 254124 254352 255528 255866 263536 265707 269568 273672 274034 275301 275548 276822 281216 286146 287469 290688 292032 296478 301184 302848 307881 312768 314496 314912 316368 324352 327024 328536 338832 339136 340704 351864 353808 354276 355914 364896 367068 367902 369096 381186 381528 383292 383799 389376 395304 397657 404352 410508 411051 413322 415233 417024 421824 428246 429219 435456 436032 438048 444717 451776 454272 469152 471744 472368 474552 486528 489424 490536 492128 508248 508704 511056 511732 527072 531414 533871 547344 548068 550602 551096 553644 562432 571779 572292 574938 581376 584064 592956 602368 615762 619983 625536 628992 629824 632736 642369 654048 657072 677664 678272 681408 703728 707616 708552 711828 729792 734136 735804 738192 762372 763056 766584 767598 790608 795314 797121 808704 821016 822102 825903 826644 830466 843648 856492 858438 872064 876096 889434 895531 903552 908544 938304 943488 944736 949104 959119 973056 978848 981072 984256 1016496 1017408 1022112 1023464 1054144 1062828 1067742 1094688 1096136 1101204 1102192 1107288 1143558 1144584 1149876 1151397 1168128 1185912 1192971 1231524 1233153 1239966 1245699 1251072 1259648 1265472 1284738 1287657 1308096 1314144 1334151 1355328 1356544 1362816 1407456 1415232 1417104 1423656 1459584 1468272 1471608 1476384 1524744 1526112 1533168 1535196 1581216 1590628 1594242 1642032 1644204 1651806 1653288 1660932 1663129 1687296 1712984 1716876 1744128 1752192 1778868 1781221 1791062 1807104 1859949 1876608 1886976 1889472 1898208 1918238 1927107 1957696 1962144 1968512 2032992 2034816 2044224 2046928 2108288 2125656 2135484 2189376 2192272 2202408 2204384 2214576 2287116 2289168 2299752 2302794 2371824 2385942 2391363 2463048 2466306 2477709 2479932 2491398 2519296 2530944 2569476 2575314 2616192 2628288 2668302 2686593 2710656 2725632 2783599 2814912 2830464 2834208 2847312 2877357 2919168 2936544 2943216 2952768 3049488 3052224 3066336 3070392 3162432 3181256 3188484 3284064 3288408 3303612 3306576 3321864 3326258 3425968 3433752 3454191 3504384 3557736 3562442 3578913 3582124 3699459 3719898 3737097 3753216 3778944 3796416 3836476 3854214 3915392 3924288 3937024 4002453 4065984 4069632 4088448 4093856 4216576 4251312 4270968 4378752 4384544 4404816 4408768 4429152 4574232 4578336 4599504 4605588 4743648 4771884 4782726 4926096 4932612 4955418 4959864 4982796 4989387 5061888 5138952 5150628 5232384 5256576 5336604 5343663 5373186 5421312 5567198 5579847 5629824 5660928 5668416 5694624 5754714 5781321 5873088 5886432 5905536 6098976 6104448 6132672 6140784 6324864 6362512 6376968 6568128 6576816 6607224 6613152 6643728 6652516 6851936 6867504 6908382 7115472 7124884 7157826 7164248 7398918 7433127 7439796 7474194 7557888 7592832 7672952 7708428 7830784 7848576 8004906 8059779 8131968 8176896 8187712 8350797 8502624 8541936 8632071 8757504 8769088 8809632 8817536 8858304 9148464 9156672 9199008 9211176 9487296 9543768 9565452 9852192 9865224 9910836 9919728 9965592 9978774 10277904 10301256 10362573 10513152 10673208 10687326 10736739 10746372 11098377 11134396 11159694 11259648 11336832 11389248 11509428 11562642 11641903 11746176 11772864 11811072 12197952 12208896 12265344 12281568 12468547 12649728 12725024 12753936 13136256 13153632 13214448 13226304 13287456 13305032 13703872 13735008 13816764 14230944 14249768 14315652 14328496 14797836 14866254 14879592 14948388 14968161 15185664 15345904 15416856 15697152 16009812 16030989 16119558 16263936 16375424 16701594 16739541 17005248 17083872 17264142 17343963 17538176 17619264 17635072 17716608 18296928 18313344 18398016 18422352 18974592 19087536 19130904 19704384 19730448 19821672 19839456 19931184 19957548 20555808 20602512 20725146 21346416 21374652 21473478 21492744 22196754 22268792 22319388 22673664 22778496 23018856 23125284 23155873 23283806 23492352 23545728 24179337 24395904 24530688 24563136 24937094 25052391 25450048 25507872 25896213 26272512 26307264 26428896 26452608 26574912 26610064 27407744 27470016 27633528 28461888 28499536 28631304 28656992 29595672 29732508 29759184 29896776 29936322 30691808 30833712 31087719 32019624 32061978 32210217 32239116 32750848 33295131 33403188 33479082 34010496 34167744 34528284 34687926 34925709 35076352 35238528 35433216 36593856 36626688 36796032 36844704 37405641 37949184 38175072 38261808 39408768 39460896 39643344 39678912 39862368 39915096 41111616 41205024 41450292 42692832 42749304 42946956 42985488 44393508 44537584 44638776 44904483 45556992 46037712 46250568 46311746 46567612 47091456 48092967 48358674 48791808 49126272 49874188 50104782 50900096 51015744 51792426 52031889 52614528 52857792 52905216 53149824 53220128 54815488 54940032 55267056 56923776 56999072 57262608 57313984 59191344 59465016 59518368 59793552 59872644 61383616 61667424 62175438 64039248 64123956 64420434 64478232 66590262 66806376 66958164 68020992 68335488 69056568 69375852 69467619 69851418 70477056 72538011 73187712 73592064 73689408 74811282 75157173 76350144 76523616 77688639 78817536 78921792 79286688 79357824 79724736 79830192 82223232 82410048 82900584 85385664 85498608 85893912 85970976 88787016 89075168 89277552 89808966 92075424 92501136 92623492 93135224 96185934 96630651 96717348 98252544 99748376 100209564 101800192 102031488 103584852 104063778 104777127 105229056 105715584 106299648 106440256 109880064 110534112 112216923 113847552 113998144 114525216 114627968 118382688 118930032 119036736 119587104 119745288 122767232 123334848 124350876 128078496 128247912 128840868 128956464 133180524 133612752 133916328 134713449 136670976 138113136 138751704 138935238 139702836 144278901 145076022 146375424 147378816 149622564 150314346 152700288 153047232 155377278 157843584 158573376 158715648 159449472 159660384 162091111 164446464 164820096 165801168 170771328 170997216 171787824 171941952 177574032 178150336 178555104 179617932 184150848 185002272 185246984 186270448 192371868 193261302 193434696 199496752 200419128 204062976 207169704 208127556 208402857 209554254 211431168 212880512 217614033 221068224 224433846 225471519 227996288 229050432 229255936 233065917 236765376 237860064 238073472 239174208 239490576 245534464 246669696 248701752 256156992 256495824 257681736 257912928 266361048 267225504 267832656 269426898 276226272 277503408 277870476 279405672 288557802 290152044 294757632 299245128 300628692 301026349 305400576 306094464 310754556 314331381 315687168 317146752 318898944 319320768 324182222 329640192 331602336 336650769 341542656 341994432 343575648 343883904 355148064 356300672 357110208 359235864 368301696 370004544 370493968 372540896 384743736 386522604 386869392 398993504 400838256 404140347 414339408 416255112 416805714 419108508 425761024 432836703 435228066 442136448 448867692 450943038 455992576 458100864 466131834 473530752 475720128 476146944 478348416 478981152 486273333 493339392 497403504 512313984 512991648 515363472 515825856 532722096 534451008 535665312 538853796 552452544 555006816 555740952 558811344 577115604 580304088 598490256 601257384 602052698 612188928 621509112 625208571 628662762 634293504 638641536 648364444 663204672 673301538 676414557 683988864 687151296 687767808 710296128 712601344 714220416 718471728 736603392 740009088 740987936 745081792 769487472 773045208 773738784 797987008 801676512 808280694 828678816 832510224 833611428 838217016 865673406 870456132 884272896 897735384 901886076 903079047 916201728 932263668 942994143 947061504 951440256 956696832 957962304 972546666 994807008 1009952307 1024627968 1025983296 1030726944 1031651712 1065444192 1068902016 1071330624 1077707592 1104905088 1110013632 1111481904 1117622688 1154231208 1160608176 1196980512 1202514768 1204105396 1243018224 1250417142 1257325524 1277283072 1296728888 1326409344 1346603076 1352829114 1367977728 1374302592 1420592256 1428440832 1436943456 1458819999 1480018176 1481975872 1490163584 1538974944 1546090416 1547477568 1595974016 1603353024 1616561388 1657357632 1665020448 1667222856 1676434032 1731346812 1740912264 1795470768 1803772152 1806158094 1864527336 1875625713 1885988286 1902880512 1915924608 1945093332 1989614016 2019904614 2051966592 2061453888 2063303424 2107184443 2130888384 2137804032 2142661248 2155415184 2209810176 2220027264 2222963808 2235245376 2308462416 2321216352 2393961024 2405029536 2408210792 2486036448 2500834284 2514651048 2593457776 2652818688 2693206152 2705658228 2709237141 2748605184 2828982429 2841184512 2873886912 2917639998 2963951744 2980327168 3029856921 3077949888 3092180832 3094955136 3191948032 3206706048 3233122776 3314715264 3330040896 3334445712 3352868064 3462693624 3481824528 3590941536 3607544304 3612316188 3729054672 3751251426 3771976572 3831849216 3890186664 3979228032 4039809228 4103933184 4122907776 4214368886 4261776768 4285322496 4310830368 4376459997 4440054528 4445927616 4470490752 4616924832 4642432704 4787922048 4810059072 4816421584 4972072896 5001668568 5029302096 5186915552 5386412304 5411316456 5418474282 5626877139 5657964858 5747773824 5835279996 5927903488 6059713842 6155899776 6184361664 6189910272 6321553329 6413412096 6466245552 6629430528 6660081792 6668891424 6705736128 6925387248 6963649056 7181883072 7215088608 7224632376 7458109344 7502502852 7543953144 7780373328 7958456064 8079618456 8127711423 8245815552 8428737772 8523553536 8621660736 8752919994 8891855232 8940981504 9233849664 9284865408 9575844096 9620118144 9632843168 9944145792 10003337136 10058604192 10373831104 10772824608 10822632912 10836948564 11253754278 11315929716 11495547648 11670559992 12119427684 12311799552 12368723328 12643106658 12932491104 13129379991 13320163584 13337782848 13411472256 13850774496 13927298112 14363766144 14430177216 14449264752 14916218688 15005005704 15087906288 15560746656 16159236912 16255422846 16857475544 17243321472 17505839988 17783710464 18467699328 18569730816 18964659987 19240236288 19265686336 19888291584 20006674272 20117208384 20747662208 21545649216 21645265824 21673897128 22507508556 22631859432 23341119984 24238855368 24383134269 24737446656 25286213316 25864982208 26258759982 26675565696 26822944512 27701548992 27854596224 28727532288 28860354432 28898529504 29832437376 30010011408 30175812576 31121493312 32318473824 32510845692 33714951088 34486642944 35011679976 36935398656 37929319974 38531372672 39388139973 40013348544 40234416768 41495324416 43091298432 43290531648 43347794256 45015017112 45263718864 46682239968 48477710736 48766268538 50572426632 51729964416 52517519964 53351131392 55403097984 55709192448 56893979961 57720708864 57797059008 59664874752 60020022816 60351625152 62242986624 64636947648 65021691384 67429902176 70023359952 73149402807 75858639948 77062745344 78776279946 80026697088 80468833536 86182596864 86581063296 86695588512 90030034224 90527437728 93364479936 96955421472 97532537076 101144853264 103459928832 105035039928 110806195968 113787959922 115594118016 120040045632 120703250304 124485973248 129273895296 130043382768 134859804352 140046719904 146298805614 151717279896 157552559892 160053394176 170681939883 173162126592 173391177024 180060068448 181054875456 186728959872 193910842944 195065074152 202289706528 210070079856 227575919844 231188236032 240080091264 241406500608 258547790592 260086765536 269719608704 280093439808 292597611228 303434559792 315105119784 341363879766 346782354048 360120136896 362109750912 373457919744 387821685888 390130148304 404579413056 420140159712 455151839688 480160182528 512045819649 520173531072 539439217408 560186879616 585195222456 606869119584 630210239568 682727759532 693564708096 720240273792 724219501824 775643371776 780260296608 809158826112 840280319424 910303679376 1024091639298 1040347062144 1120373759232 1170390444912 1213738239168 1260420479136 1365455519064 1440480547584 1560520593216 1618317652224 1680560638848 1820607358752 2048183278596 2080694124288 2340780889824 2427476478336 2520840958272 2730911038128 3121041186432 3361121277696 3641214717504 4096366557192 4681561779648 4854952956672 5041681916544 5461822076256 6242082372864 7282429435008 8192733114384 9363123559296 10083363833088 10923644152512 14564858870016 16385466228768 18726247118592 21847288305024 32770932457536 43694576610048 65541864915072 131083729830144
- Sum of all divisors σ(n): 488573403368960
- Sum of proper divisors (its aliquot sum) s(n): 357489673538816
- 131083729830144 is an abundant number, because the sum of its proper divisors (357489673538816) is greater than itself. Its abundance is 226405943708672
Bases of 131083729830144
- Binary: 111011100111000010011110010011100000001000000002
- Hexadecimal: 0x77384F270100
- Base-36: 1AGR189C00
Squares and roots of 131083729830144
- 131083729830144 squared (1310837298301442) is 17182944226182183943091060736
- 131083729830144 cubed (1310837298301443) is 2252404418631298156324082935093750067625984
-
The
square root of 131083729830144 is 11449180.3125876221 -
The
cube root of 131083729830144 is 50798.3489127623
Scales and comparisons
How big is 131083729830144?- 131,083,729,830,144 seconds is equal to 4,168,057 years, 7 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 131,083,729,830,144 would take you about ten million, four hundred twenty thousand, one hundred forty-two 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 131083729830144 cubic inches would be around 4233.2 feet tall.
Recreational maths with 131083729830144
- 131083729830144 backwards is 441038927380131
- 131083729830144 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131083729830144's digits is 54
- 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 131083729830144 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 131083729830144 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/131083729830144/
Chicago style:
Numbermatics. 2024. "Number 131083729830144 - Facts about the integer". https://numbermatics.com/n/131083729830144/
The information we have on file for 131083729830144 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 131083729830144, math, Factors of 131083729830144, curriculum, school, college, exams, university, Prime factorization of 131083729830144, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, eighty-three billion, seven hundred twenty-nine million, eight hundred thirty thousand, one hundred forty-four.