138131405787375
138,131,405,787,375 is an odd composite number composed of six prime numbers multiplied together.
138131405787375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138131405787375:
38 × 53 × 72 × 11 × 132 × 432
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 13 × 13 × 43 × 43)See below for interesting mathematical facts about the number 138131405787375 from the Numbermatics database.
Names of 138131405787375
- Cardinal: 138131405787375 can be written as One hundred thirty-eight trillion, one hundred thirty-one billion, four hundred five million, seven hundred eighty-seven thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38131405787375 × 1014
Factors of 138131405787375
Divisors of 138131405787375
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 3 5 7 9 11 13 15 21 25 27 33 35 39 43 45 49 55 63 65 75 77 81 91 99 105 117 125 129 135 143 147 165 169 175 189 195 215 225 231 243 245 273 275 297 301 315 325 351 375 385 387 405 429 441 455 473 495 507 525 539 559 567 585 637 645 675 693 715 729 735 819 825 845 875 891 903 945 975 1001 1053 1075 1125 1155 1161 1183 1215 1225 1287 1323 1365 1375 1419 1485 1505 1521 1575 1617 1625 1677 1701 1755 1849 1859 1911 1925 1935 2025 2079 2107 2145 2187 2205 2275 2365 2457 2475 2535 2625 2673 2695 2709 2795 2835 2925 3003 3159 3185 3225 3311 3375 3465 3483 3549 3575 3645 3675 3861 3913 3969 4095 4125 4225 4257 4455 4515 4563 4725 4851 4875 5005 5031 5103 5265 5375 5547 5577 5733 5775 5805 5915 6075 6125 6149 6237 6321 6435 6561 6615 6825 7007 7095 7267 7371 7425 7525 7605 7875 8019 8085 8127 8281 8385 8505 8775 9009 9245 9295 9477 9555 9625 9675 9933 10125 10395 10449 10535 10647 10725 10935 11025 11375 11583 11739 11825 11907 12285 12375 12675 12771 12943 13013 13365 13475 13545 13689 13975 14175 14553 14625 15015 15093 15309 15795 15925 16125 16555 16641 16731 17199 17325 17415 17745 17875 18225 18375 18447 18711 18963 19305 19565 19845 20339 20475 21021 21125 21285 21801 22113 22275 22575 22815 23177 23625 24037 24057 24255 24381 24843 25025 25155 25515 26325 27027 27391 27735 27885 28431 28665 28875 29025 29575 29799 30375 30745 31185 31347 31605 31941 32175 32805 33075 34125 34749 35035 35217 35475 35721 36335 36855 37125 37625 38025 38313 38829 39039 40095 40425 40635 41067 41405 41925 42525 43043 43659 43875 45045 45279 45927 46225 46475 47385 47775 48375 49665 49923 50193 50869 51597 51975 52245 52675 53235 53625 54675 55125 55341 56133 56889 57915 58695 59125 59535 61017 61425 63063 63375 63855 64715 65065 65403 66339 66825 67375 67725 68445 69531 69875 70875 72111 72171 72765 73143 74529 75075 75465 76545 78975 79625 79937 81081 82173 82775 83205 83655 85293 85995 86625 87075 88725 89397 90601 91091 91125 92235 93555 94041 94815 95823 96525 97825 99225 101695 102375 104247 105105 105651 106425 107163 109005 110565 111375 112875 114075 114939 115885 116487 117117 120185 120285 121275 121905 123201 124215 125125 125775 127575 129129 130977 131625 135135 135837 136955 138675 139425 142155 142373 143325 145125 147875 148995 149769 150579 152607 153725 154791 155925 156735 158025 159705 160875 164025 165375 166023 168259 168399 170667 173745 175175 176085 177375 178605 181675 183051 184275 189189 190125 191565 194145 195195 196209 199017 200475 202125 203175 205335 207025 208593 209625 212625 215215 216333 218295 219429 223587 225225 226395 229635 231125 232375 236925 238875 239811 243243 246519 248325 249615 250965 254345 257985 259875 261225 263375 264407 266175 268191 271803 273273 273375 276705 280665 282123 284445 287469 289575 293475 297675 301301 305085 307125 312481 312741 315315 316953 319275 321489 323575 325325 327015 331695 334125 338625 342225 344817 347655 349461 351351 356083 360555 360855 363825 365715 369603 372645 375375 377325 382725 387387 392931 394875 399685 405405 407511 410865 413875 416025 418275 426465 427119 429975 435375 443625 446985 449307 451737 453005 455455 457821 461175 464373 467775 470205 474075 479115 482625 489125 496125 498069 504777 505197 508475 512001 521235 525525 528255 532125 535815 545025 549153 552825 559559 567567 570375 574695 579425 582435 585585 588627 597051 600925 601425 606375 609525 616005 621075 625779 628875 637875 645645 648999 654885 658287 670761 675675 679185 684775 693375 697125 710775 711865 716625 719433 729729 739557 744975 748845 752895 763035 768625 773955 779625 783675 790125 793221 798525 804573 815409 819819 820125 830115 841295 841995 853335 862407 868725 875875 880425 893025 903903 908375 915255 921375 937443 938223 945945 950859 957825 970725 975975 981045 995085 996611 1002375 1015875 1026675 1034451 1035125 1042965 1048383 1054053 1068249 1076075 1081665 1091475 1097145 1108809 1117935 1126125 1131975 1148175 1162161 1177813 1178793 1184625 1199055 1216215 1222533 1232595 1241625 1248075 1254825 1271725 1281357 1289925 1306125 1322035 1330875 1340955 1347921 1355211 1359015 1366365 1373463 1383525 1393119 1403325 1410615 1422225 1437345 1447875 1467375 1488375 1494207 1506505 1514331 1525425 1536003 1562405 1563705 1576575 1584765 1596375 1607445 1617875 1626625 1635075 1647459 1658475 1678677 1702701 1711125 1724085 1738275 1747305 1756755 1765881 1780415 1802775 1804275 1819125 1828575 1848015 1850849 1863225 1877337 1886625 1913625 1936935 1946997 1964655 1974861 1998425 2012283 2027025 2037555 2054325 2080125 2091375 2132325 2135595 2149875 2158299 2187367 2189187 2218671 2234925 2246535 2258685 2265025 2277275 2289105 2305875 2321865 2338875 2351025 2370375 2379663 2395575 2413719 2446227 2459457 2490345 2523885 2525985 2542375 2560005 2587221 2606175 2627625 2641275 2679075 2711709 2725125 2745765 2764125 2797795 2812329 2837835 2852577 2873475 2897125 2912175 2927925 2943135 2985255 2989833 3004625 3007125 3047625 3080025 3103353 3105375 3128895 3145149 3162159 3204747 3228225 3244995 3274425 3291435 3353805 3378375 3395925 3423875 3437291 3486483 3533439 3536379 3553875 3559325 3597165 3648645 3667599 3697785 3724875 3744225 3764475 3815175 3844071 3869775 3916913 3918375 3966105 3992625 4022865 4043763 4065633 4077045 4099095 4120389 4150575 4179357 4206475 4209975 4266675 4312035 4343625 4402125 4465125 4482621 4519515 4542993 4576275 4608009 4687215 4691115 4729725 4754295 4789125 4853625 4879875 4905225 4942377 4975425 4983055 5036031 5108103 5133375 5172255 5214825 5241915 5270265 5297643 5341245 5380375 5408325 5457375 5485725 5544045 5552547 5589675 5632011 5659875 5740875 5810805 5840991 5889065 5893965 5995275 6036849 6081075 6112665 6162975 6240375 6274125 6358625 6406785 6449625 6474897 6562101 6567561 6610175 6656013 6704775 6739605 6776055 6795075 6831825 6867315 6917625 6965595 7016625 7053075 7111125 7138989 7186725 7241157 7338681 7378371 7471035 7532525 7571655 7627125 7680015 7761663 7812025 7818525 7882875 7923825 8037225 8135127 8175375 8237295 8292375 8393385 8436987 8513505 8557731 8620425 8691375 8736525 8783775 8829405 8902075 8969499 9013875 9021375 9142875 9240075 9254245 9316125 9386685 9435447 9486477 9614241 9684675 9734985 9823275 9874305 9992125 10061415 10135125 10187775 10271625 10311873 10459449 10600317 10661625 10677975 10791495 10936835 10945935 11093355 11174625 11232675 11293425 11325125 11386375 11445525 11532213 11609325 11750739 11755125 11898315 11977875 12068595 12131289 12196899 12231135 12297285 12361167 12451725 12619425 12629925 12800025 12936105 12955943 13030875 13206375 13395375 13447863 13558545 13628979 13728825 13824027 13988975 14061645 14189175 14262885 14367375 14560875 14639625 14715675 14827131 14926275 14949165 15108093 15311569 15324309 15400125 15516765 15644475 15725745 15810795 15892929 16023735 16141125 16224975 16372125 16457175 16657641 16769025 16896033 16979625 17186455 17432415 17522973 17667195 17681895 17796625 17985825 18110547 18243225 18337995 18488925 18721125 18822375 19075875 19220355 19348875 19424691 19584565 19686303 19830525 19968039 20114325 20218815 20328165 20385225 20495475 20601945 20752875 20896785 21032375 21049875 21333375 21416967 21560175 21723471 22016043 22135113 22413105 22597575 22714965 22881375 23040045 23436075 23455575 23648625 23771475 24061037 24405381 24526125 24711885 24877125 24915275 25180155 25310961 25540515 25673193 25861275 26074125 26209575 26351325 26488215 26706225 26908497 27041625 27428625 27720225 27762735 27948375 28160055 28306341 28459431 28842723 29054025 29204955 29445325 29469825 29976375 30184245 30405375 30563325 30814875 30935619 31378347 31800951 32033925 32374485 32810505 32837805 33050875 33280065 33523875 33698025 33880275 33975375 34159125 34336575 34596639 34827975 35252217 35265375 35694945 35933625 36205785 36693405 36891855 37083501 37355175 37662625 37858275 38400075 38808315 38867829 39060125 39092625 39619125 40186125 40343589 40675635 40886937 41186475 41966925 42184935 42567525 42788655 43102125 43682625 43918875 44147025 44481393 44510375 44847495 45324279 45934707 45972927 46200375 46271225 46933425 47177235 47432385 47678787 48071205 48423375 48674925 49116375 49371525 49972923 50307075 50688099 50938875 51559365 52297245 52568919 53001585 53389875 53957475 54331641 54684175 54729675 55466775 56163375 56467125 57227625 57661065 58046625 58274073 58753695 59058909 59491575 59904117 60342975 60656445 60984495 61155675 61486425 61805835 62258625 63097125 63149625 64000125 64250901 64680525 64779715 66048129 66405339 67239315 67792725 68144895 68644125 69120135 69944875 70308225 70945875 71314425 72183111 73216143 73578375 74135655 74631375 74745825 75540465 75932883 76557845 76621545 77583825 78222375 78628725 79053975 79464645 80118675 80725491 81124875 82285875 83288205 83845125 84480165 84919023 85378293 85932275 86528169 87162075 87614865 88335975 88409475 89929125 90552735 91216125 91689975 92444625 92806857 94135041 95402853 96101775 97123455 97922825 98431515 99152625 99840195 100571625 101094075 101640825 101926125 102477375 103009725 103789917 104483925 105756651 107084835 107800875 108617355 110080215 110675565 111250503 112065525 112987875 113574825 115200225 116603487 117180375 117277875 118857375 120305185 122026905 122660811 123559425 124576375 125900775 126554805 127702575 128365965 129306375 131047875 131756625 132441075 133444179 133531125 134542485 135972837 137804121 138601125 138813675 140800275 141531705 142297155 144213615 145270125 146024775 147226625 147349125 149918769 150921225 152064297 152816625 154678095 156891735 157706757 159004755 160169625 161872425 164052525 164189025 166400325 168427259 168490125 169401375 171682875 172983195 174139875 174822219 176261085 177176727 178474725 179712351 181028925 183467025 184459275 185417505 186775875 189291375 192000375 192752703 194041575 194339145 198144387 199216017 201717945 203378175 204434685 205932375 209834625 210924675 212837625 213943275 216549333 219648429 220735125 222406965 224237475 226621395 227798649 229673535 229864635 231356125 234667125 235886175 237161925 238393935 240356025 242176473 243374625 246857625 249864615 251535375 253440495 257796825 259584507 261486225 262844595 265007925 269787375 271658205 273420875 273648375 277333875 278420571 282405123 286208559 288305325 291370365 293768475 295294545 297457875 299520585 301714875 303282225 304922475 305778375 307432125 309029175 311369751 317269953 321254505 323402625 323898575 330240645 332026695 333751509 336196575 338963625 340724475 345600675 349810461 351541125 356572125 360915555 366080715 367982433 370678275 373729125 377702325 379664415 382789225 383107725 387919125 393143625 395269875 397323225 400593375 403627455 407918511 413412363 416441025 422400825 424595115 426891465 429661375 432640845 435810375 438074325 441679875 442047375 449756307 452763675 458449875 464034285 470675205 477014265 480508875 485617275 489614125 492157575 499200975 505281777 505470375 508204125 515048625 518949585 522419625 524466657 528783255 531530181 535424175 543086775 550401075 553377825 556252515 560327625 567874125 576001125 578258109 583017435 594433161 597648051 601525925 610134525 613304055 617797125 629503875 632774025 638512875 641829825 649647999 658945287 662205375 667220895 672712425 679864185 683395947 689020605 694068375 704001375 707658525 711485775 721068075 726529419 730123875 749593845 754606125 760321485 773390475 778753521 784458675 788533785 795023775 809362125 820262625 820945125 832001625 835261713 842136295 858625677 864915975 874111095 881305425 885883635 892373625 898561755 905144625 917335125 922296375 927087525 934109253 951809859 963763515 970207875 971695725 990721935 996080085 1008589725 1016890875 1022173425 1049431383 1054623375 1069716375 1082746665 1098242145 1103947299 1112034825 1121187375 1133106975 1138993245 1148367675 1149323175 1179430875 1185809625 1191969675 1201780125 1210882365 1223755533 1240237089 1249323075 1267202475 1288984125 1297922535 1307431125 1314222975 1325039625 1349268921 1358291025 1392102855 1412025615 1431042795 1441526625 1456851825 1468842375 1476472725 1497602925 1515845331 1516411125 1524612375 1545145875 1556848755 1586349765 1594590543 1606272525 1619492875 1651203225 1660133475 1668757545 1680982875 1703622375 1728003375 1734774327 1749052305 1804577775 1830403575 1839912165 1853391375 1888511625 1898322075 1913946125 1915538625 1948943997 1976835861 1986616125 2018137275 2039592555 2050187841 2067061815 2082205125 2112004125 2122975575 2134457325 2163204225 2179588257 2190371625 2248781535 2263818375 2320171425 2336260563 2353376025 2385071325 2428086375 2460787875 2496004875 2505785139 2526408885 2575877031 2594747925 2622333285 2643916275 2657650905 2677120875 2715433875 2752005375 2766889125 2781262575 2855429577 2891290545 2915087175 2972165805 2988240255 3007629625 3050672625 3066520275 3148294149 3163870125 3209149125 3248239995 3294726435 3336104475 3363562125 3399320925 3416979735 3445103025 3538292625 3557428875 3605340375 3632647095 3671266599 3720711267 3747969225 3801607425 3866952375 3893767605 3922293375 3942668925 3975118875 4047806763 4176308565 4210681475 4293128385 4324579875 4370555475 4406527125 4429418175 4492808775 4547535993 4635437625 4670546265 4759049295 4783771629 4818817575 4858478625 4953609675 4980400425 5042948625 5110867125 5247156915 5413733325 5491210725 5519736495 5560174125 5665534875 5694966225 5741838375 5746615875 5846831991 5959848375 6054411825 6118777665 6201185445 6246615375 6336012375 6489612675 6538764771 6571114875 6746344605 6791455125 6960514275 7060128075 7155213975 7284259125 7382363625 7488014625 7517355417 7579226655 7727631093 7784243775 7931748825 7972952715 8031362625 8256016125 8300667375 8343787725 8566288731 8673871635 8745261525 9022888875 9152017875 9199560825 9444882447 9491610375 9744719985 9884179305 10090686375 10197962775 10250939205 10335309075 10614877875 10672286625 10816021125 10897941285 11162133801 11243907675 11600857125 11681302815 11766880125 11925356625 12143420289 12528925695 12632044425 12879385155 12973739625 13111666425 13219581375 13288254525 13642607979 13906312875 14277147885 14351314887 14456452725 14575435875 14860829025 14941201275 15332601375 15741470745 16241199975 16473632175 16680522375 16996604625 17084898675 17225515125 17540495973 18163235475 18356332995 18603556335 18739846125 19008037125 19468838025 19713344625 20239033815 20881542825 21053407375 21465641925 21852777375 22147090875 22464043875 22552066251 22737679965 23352731325 23795246475 23918858145 24094087875 24768048375 24902002125 25698866193 26235784575 27068666625 27456053625 27598682475 28334647341 28474831125 29234159955 30272059125 30593888325 31005927225 32448063375 32693823855 33486401403 33731723025 34802571375 35300640375 35776069875 37586777085 37896133275 38638155465 38921218875 39658744125 39864763575 40927823937 41718938625 42831443655 43369358175 43726307625 45997804125 47224412235 48723599925 49420896525 50989813875 51254696025 51676545375 52621487919 54489706425 55810669005 56219538375 58406514075 60717101445 62644628475 63160222125 64396925775 65558332125 66441272625 68213039895 71385739425 71756574435 72282263625 74304145125 74706006375 78707353725 81205999875 82368160875 85003942023 85424493375 87702479865 90816177375 91781664975 93017781675 97344190125 100459204209 101195169075 104407714125 107328209625 112760331255 113688399825 116763656625 118976232375 119594290725 122783471811 128494330965 131178922875 137993412375 141673236705 146170799775 152969441625 155029636125 157864463757 163469119275 167432007015 168658615125 187933885425 189480666375 193190777325 199323817875 204639119685 214157218275 216846790875 236122061175 243617999625 247104482625 256273480125 263107439595 272448532125 279053345025 292032570375 303585507225 313223142375 321984628875 341065199475 356928697125 358782872175 368350415433 393536768625 425019710115 438512399325 458908324875 465088908375 502296021045 505975845375 563801656275 568441999125 597971453625 613917359055 642471654825 708366183525 730853998875 789322318785 817345596375 837160035075 939669427125 965953886625 1023195598425 1070786091375 1105051246299 1180610305875 1315537197975 1395266725125 1517927536125 1705325997375 1793914360875 1841752077165 2125098550575 2192561996625 2511480105225 2819008281375 3069586795275 3212358274125 3541830917625 3946611593925 4185800175375 5115977992125 5525256231495 6577685989875 9208760385825 10625492752875 12557400526125 15347933976375 19733057969625 27626281157475 46043801929125 138131405787375
- Sum of all divisors σ(n): 363765607176816
- Sum of proper divisors (its aliquot sum) s(n): 225634201389441
- 138131405787375 is an abundant number, because the sum of its proper divisors (225634201389441) is greater than itself. Its abundance is 87502795602066
Bases of 138131405787375
- Binary: 111110110100001001110010101111111010000111011112
- Hexadecimal: 0x7DA1395FD0EF
- Base-36: 1CYOOWK3XR
Squares and roots of 138131405787375
- 138131405787375 squared (1381314057873752) is 19080285264796455643709390625
- 138131405787375 cubed (1381314057873753) is 2635586626450471067454866801190759568359375
-
The
square root of 138131405787375 is 11752931.7954021583 -
The
cube root of 138131405787375 is 51692.8897119433
Scales and comparisons
How big is 138131405787375?- 138,131,405,787,375 seconds is equal to 4,392,151 years, 22 weeks, 4 days, 12 hours, 56 minutes, 15 seconds.
-
To count from 1 to 138,131,405,787,375 would take you about ten million, nine hundred eighty thousand, three hundred seventy-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 138131405787375 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138131405787375
- 138131405787375 backwards is 573787504131831
- 138131405787375 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138131405787375's digits is 63
- More coming soon!
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Cite this page
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"Number 138131405787375 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138131405787375 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138131405787375/
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Numbermatics. 2024. "Number 138131405787375 - Facts about the integer". https://numbermatics.com/n/138131405787375/
The information we have on file for 138131405787375 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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