138342125697750
138,342,125,697,750 is an even composite number composed of six prime numbers multiplied together.
What does the number 138342125697750 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
138342125697750 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138342125697750:
2 × 37 × 53 × 133 × 41 × 532
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 41 × 53 × 53)See below for interesting mathematical facts about the number 138342125697750 from the Numbermatics database.
Names of 138342125697750
- Cardinal: 138342125697750 can be written as One hundred thirty-eight trillion, three hundred forty-two billion, one hundred twenty-five million, six hundred ninety-seven thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3834212569775 × 1014
Factors of 138342125697750
Divisors of 138342125697750
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 41 45 50 53 54 65 75 78 81 82 90 106 117 123 125 130 135 150 159 162 169 195 205 225 234 243 246 250 265 270 318 325 338 351 369 375 390 405 410 450 477 486 507 530 533 585 615 650 675 689 702 729 738 750 795 810 845 954 975 1014 1025 1053 1066 1107 1125 1170 1215 1230 1325 1350 1378 1431 1458 1521 1590 1599 1625 1690 1755 1845 1950 2025 2050 2067 2106 2173 2187 2197 2214 2250 2385 2430 2535 2650 2665 2809 2862 2925 3042 3075 3159 3198 3250 3321 3375 3445 3510 3645 3690 3975 4050 4134 4225 4293 4346 4374 4394 4563 4770 4797 4875 5070 5125 5265 5330 5535 5618 5850 6075 6150 6201 6318 6519 6591 6625 6642 6750 6890 6929 7155 7290 7605 7950 7995 8427 8450 8586 8775 8957 9126 9225 9477 9594 9750 9963 10125 10250 10335 10530 10865 10935 10985 11070 11925 12150 12402 12675 12879 13038 13182 13250 13325 13689 13858 14045 14310 14391 14625 15210 15375 15795 15990 16605 16854 17225 17550 17914 18225 18450 18603 18954 19557 19773 19875 19926 20250 20670 20787 21125 21465 21730 21870 21970 22815 23850 23985 25281 25350 25758 26325 26650 26871 27378 27675 28090 28249 28431 28782 29250 29889 30375 30750 31005 31590 32595 32955 33210 34450 34645 35775 36450 36517 37206 38025 38637 39114 39546 39750 39975 41067 41574 42135 42250 42930 43173 43875 44785 45630 46125 47385 47970 49815 50562 51675 52650 53742 54325 54675 54925 55350 55809 56498 56862 58671 59319 59625 59778 60750 62010 62361 63375 64395 65190 65910 66625 68445 69290 70225 71550 71955 73034 75843 76050 77274 78975 79950 80613 82134 83025 84270 84747 86125 86346 87750 89570 89667 90077 91125 92250 93015 94770 97785 98865 99630 103350 103935 107325 108650 109350 109551 109850 111618 114075 115169 115911 116441 117342 118638 119250 119925 123201 124722 126405 126750 128790 129519 131625 133250 134355 136890 138375 140450 141245 142155 143910 149445 151686 155025 157950 161226 162975 164775 166050 167427 169494 172250 173225 176013 177957 178875 179334 180154 182250 182585 186030 187083 190125 193185 195570 197730 199875 205335 207870 210675 214650 215865 219102 223925 227529 228150 230338 231822 232882 236925 239850 241839 246402 249075 252810 254241 258375 259038 263250 268710 270231 271625 273375 274625 276750 279045 282490 284310 293355 296595 298890 310050 311805 321975 325950 328653 329550 334854 342225 345507 346450 349323 351125 352026 355914 357750 359775 365170 367237 369603 374166 379215 380250 386370 388557 394875 399750 403065 410670 415125 421350 423735 431730 447850 448335 450385 455058 465075 473850 474721 483678 488925 494325 498150 502281 508482 516750 519675 528039 533871 536625 540462 543250 546750 547755 549250 558090 561249 570375 575845 579555 582205 586710 593190 599625 616005 623610 632025 643950 647595 657306 671775 682587 684450 691014 698646 702250 706225 710775 719550 725517 734474 739206 747225 758430 762723 775125 777114 789750 806130 810693 814875 823875 830250 837135 847470 866125 880065 889785 896670 900770 912925 930150 935415 949442 965925 977850 985959 988650 1004562 1026675 1036521 1039350 1047969 1053375 1056078 1067742 1073250 1079325 1095510 1101711 1119625 1122498 1137645 1140750 1151690 1159110 1164410 1165671 1184625 1199250 1209195 1232010 1245375 1264050 1271205 1295190 1343550 1351155 1365174 1395225 1412450 1421550 1424163 1451034 1466775 1482975 1494450 1497197 1506843 1525446 1550250 1559025 1584117 1601613 1609875 1621386 1629750 1643265 1647750 1674270 1683747 1711125 1727535 1732250 1746615 1760130 1779570 1798875 1825850 1836185 1848015 1870830 1896075 1931850 1942785 1971918 2015325 2047761 2053350 2073042 2095938 2106750 2118675 2158650 2176551 2203422 2239250 2241675 2251925 2275290 2288169 2325375 2331342 2369250 2373605 2418390 2432079 2444625 2471625 2490750 2511405 2542410 2598375 2640195 2669355 2702310 2738775 2790450 2806245 2848326 2879225 2897775 2911025 2933550 2957877 2965950 2994394 3013686 3080025 3109563 3118050 3143907 3160125 3168234 3203226 3219750 3237975 3286530 3305133 3358875 3367494 3412935 3422250 3455070 3493230 3531125 3553875 3597750 3627585 3672370 3696030 3736125 3792150 3813615 3885570 4030650 4053465 4095522 4185675 4237350 4272489 4353102 4400325 4448925 4483350 4491591 4503850 4564625 4576338 4650750 4677075 4747210 4752351 4774081 4804839 4829625 4864158 4889250 4929795 4943250 5022810 5051241 5133375 5182605 5196750 5239845 5280390 5338710 5396625 5477550 5508555 5612490 5688225 5758450 5795550 5822050 5828355 5915754 6045975 6143283 6160050 6171373 6219126 6287814 6320250 6356025 6475950 6529653 6610266 6717750 6755775 6825870 6864507 6976125 7062250 7107750 7120815 7255170 7296237 7333875 7414875 7472250 7485985 7534215 7627230 7795125 7920585 8008065 8106930 8216325 8371350 8418735 8544978 8637675 8733075 8800650 8873631 8897850 8983182 9129250 9180925 9240075 9328689 9354150 9431721 9480375 9504702 9548162 9609678 9659250 9713925 9859590 9915399 10076625 10102482 10238805 10266750 10365210 10479690 10593375 10793250 10882755 11017110 11208375 11259625 11376450 11440845 11656710 11868025 12091950 12160395 12286566 12342746 12557025 12712050 12817467 13059306 13200975 13346775 13474773 13511550 13693875 13729014 13952250 14031225 14241630 14322243 14396125 14488875 14555125 14592474 14667750 14789385 14829750 14971970 15068430 15153723 15400125 15547815 15590250 15719535 15841170 16016130 16189875 16432650 16525665 16837470 17064675 17275350 17466150 17747262 18137925 18361850 18480150 18514119 18657378 18863442 18960750 19068075 19427850 19463561 19588959 19830798 20153250 20267325 20477610 20593521 20928375 21186750 21362445 21765510 21888711 22001625 22244625 22416750 22457955 22519250 22881690 23385375 23736050 23761755 23870405 24024195 24320790 24648975 25114050 25256205 25634934 25913025 26199225 26401950 26620893 26693550 26949546 27387750 27542775 27986067 28062450 28295163 28441125 28644486 28792250 28977750 29110250 29141775 29578770 29746197 30229875 30307446 30716415 30800250 30856865 31095630 31439070 31780125 32379750 32648265 33051330 33778875 34129350 34322535 35604075 36275850 36481185 37028238 37429925 37671075 38136150 38452401 38927122 39177918 39602925 40040325 40424319 40534650 41081625 41187042 41856750 42093675 42724890 42966729 43188375 43665375 43777422 44003250 44368155 44489250 44915910 45904625 46200375 46643445 46770750 47158605 47523510 47740810 48048390 48569625 49297950 49576995 50512410 51194025 51826050 52398450 53241786 54413775 55085550 55542357 55972134 56590326 56882250 57204225 58283550 58390683 59340125 59492394 60459750 60801975 61432830 61713730 61780563 62785125 63560250 64087335 65296530 65666133 66004875 66733875 67373865 67557750 68645070 70156125 71208150 71611215 72962370 73946925 74859850 75342150 75768615 76904802 77739075 78597675 79205850 79862679 80080650 80848638 82163250 82628325 83958201 84187350 84885489 85323375 85933458 86376750 87330750 88736310 89238591 90689625 91809250 92400750 92570595 93286890 94317210 95340375 97139250 97317805 97944795 99153990 101336625 102388050 102967605 106812225 108827550 109443555 111084714 112289775 114408450 115357203 116781366 118680250 118808775 119352025 120120975 121272957 121603950 123244875 123561126 125570250 126281025 128174670 128900187 129565125 130996125 131332266 132009750 133104465 133467750 134747730 137713875 139930335 140312250 141475815 143222430 145708875 147893850 148730985 151537230 153582075 154284325 155478150 157195350 159725358 163241325 165256650 166627071 167916402 169770978 170646750 171612675 175172049 178020375 178477182 181379250 182405925 185141190 187149625 188355375 190680750 192262005 194635610 195889590 196998399 198014625 200201625 202121595 202673250 205935210 210468375 213624450 214833645 218887110 221840775 224579550 230714406 233217225 235793025 237617550 238704050 240241950 242545914 246489750 247884975 251874603 252562050 253026293 254656467 255970125 257800374 259130250 261992250 266208930 267715773 272068875 275427750 277711785 279860670 282951630 286021125 291417750 291953415 297461970 304009875 307164150 308568650 308902815 320436675 326482650 328330665 333254142 336869325 343225350 346071609 350344098 356040750 358056075 363818871 364811850 369734625 374299250 376710750 378843075 384524010 386700561 388695375 392988375 393996798 396029250 399313395 400403250 404243190 413141625 419791005 420936750 424427445 429667290 443681550 446192955 462852975 466434450 471586050 486589025 489723975 495769950 499881213 503749206 506052586 509312934 511940250 514838025 525516147 534061125 535431546 544137750 547217775 555423570 561448875 572042250 576786015 583906830 594043875 596760125 600604875 606364785 608019750 617805630 631405125 640873350 644500935 656661330 665522325 673738650 692143218 699651675 707379075 716112150 727637742 739469250 743654925 757686150 759078879 767910375 771421625 773401122 777390750 785976750 798626790 803147319 816206625 826283250 833135355 839582010 848854890 858063375 875860245 892385910 912029625 925705950 961310025 973178050 979447950 984991995 999762426 1010607975 1029676050 1038214827 1051032294 1068122250 1074168225 1091456613 1094435550 1109203875 1122897750 1153572030 1160101683 1166086125 1178965125 1188087750 1193520250 1201209750 1212729570 1239424875 1259373015 1262810250 1265131465 1273282335 1289001870 1331044650 1338578865 1388558925 1399303350 1414758150 1459767075 1487309850 1499643639 1518157758 1535820750 1542843250 1544514075 1576548441 1602183375 1606294638 1632413250 1641653325 1666270710 1684346625 1716126750 1730358045 1751720490 1790280375 1819094355 1824059250 1894215375 1922620050 1933502805 1969983990 1996566975 2021215950 2076429654 2098955025 2122137225 2148336450 2182913226 2218407750 2230964775 2277236637 2314264875 2320203366 2332172250 2357930250 2432945125 2448619875 2478849750 2499406065 2518746030 2530262930 2546564670 2574190125 2627580735 2677157730 2736088875 2777117850 2883930075 2919534150 2999287278 3031823925 3089028150 3153096882 3204366750 3222504675 3274369839 3283306650 3327611625 3368693250 3460716090 3480305049 3498258375 3536895375 3580560750 3638188710 3718274625 3788430750 3795394395 3867005610 3993133950 4015736595 4165676775 4197910050 4244274450 4379301225 4461929550 4498930917 4554473274 4628529750 4729645323 4806550125 4865890250 4897239750 4924959975 4998812130 5053039875 5148380250 5191074135 5255161470 5370841125 5457283065 5472177750 5767860150 5800508415 6063647850 6296865075 6325657325 6366411675 6445009350 6548739678 6655223250 6692894325 6831709911 6942794625 6960610098 6996516750 7073790750 7298835375 7436549250 7498218195 7590788790 7722570375 7882742205 8031473190 8208266625 8331353550 8651790225 8758602450 8997861834 9095471775 9459290646 9613100250 9667514025 9849919950 9982834875 10106079750 10382148270 10440915147 10494775125 10610686125 10741682250 10914566130 11154823875 11386183185 11601016830 12497030325 12593730150 12651314650 12732823350 13137903675 13385788650 13496792751 13663419822 13885589250 14188935969 14419650375 14597670750 14996436390 15159119625 15445140750 15765484410 16112523375 16371849195 16416533250 17303580450 17401525245 18190943550 18976971975 19335028050 19965669750 20078682975 20495129733 20828383875 20881830294 20989550250 21221372250 21896506125 22309647750 22494654585 22772366370 23648226615 24624799875 24994060650 25955370675 26275807350 26993585502 27286415325 28377871938 28839300750 29002542075 30318239250 31484325375 31628286625 31832058375 32225046750 32743698390 33464471625 34158549555 34803050490 37491090975 37953943950 39413711025 40157365950 40990259466 41656767750 42566807907 43258951125 43793012250 44989309170 45477358875 47296453230 48337570125 49249599750 51910741350 52204575735 54572830650 56930915925 58005084150 61485389199 62485151625 62968650750 63256573250 63664116750 65689518375 66928943250 67483963755 68317099110 70944679845 74982181950 78827422050 81859245975 85133615814 86517902250 87007626225 90954717750 94884859875 96675140250 100393414875 102475648665 104409151470 112473272925 113861831850 118241133075 122970778398 124970303250 129776853375 131379036750 134967927510 136432076625 141889359690 145012710375 163718491950 170792747775 174015252450 184456167597 187455454875 189769719750 197068555125 200786829750 204951297330 212834039535 224946545850 236482266150 259553706750 261022878675 272864153250 284654579625 290025420750 307426945995 337419818775 341585495550 354723399225 368912335194 374910909750 394137110250 409296229875 425668079070 435038131125 512378243325 522045757350 553368502791 562366364625 569309159250 591205665375 614853891990 674839637550 709446798450 818592459750 853963738875 870076262250 922280837985 1024756486650 1064170197675 1106737005582 1124732729250 1182411330750 1305114393375 1537134729975 1687099093875 1707927477750 1773616996125 1844561675970 2128340395350 2561891216625 2610228786750 2766842513955 3074269459950 3374198187750 3547233992250 4611404189925 5123782433250 5320850988375 5533685027910 7685673649875 9222808379850 10641701976750 13834212569775 15371347299750 23057020949625 27668425139550 46114041899250 69171062848875 138342125697750
- Sum of all divisors σ(n): 439306159219200
- Sum of proper divisors (its aliquot sum) s(n): 300964033521450
- 138342125697750 is an abundant number, because the sum of its proper divisors (300964033521450) is greater than itself. Its abundance is 162621907823700
Bases of 138342125697750
- Binary: 111110111010010010010010100001001111010110101102
- Hexadecimal: 0x7DD249427AD6
- Base-36: 1D1DHTR3DI
Squares and roots of 138342125697750
- 138342125697750 squared (1383421256977502) is 19138543742572060924355062500
- 138342125697750 cubed (1383421256977503) is 2647666824106790770284399110726557359375000
-
The
square root of 138342125697750 is 11761892.9470451311 -
The
cube root of 138342125697750 is 51719.1622475145
Scales and comparisons
How big is 138342125697750?- 138,342,125,697,750 seconds is equal to 4,398,851 years, 35 weeks, 1 day, 9 hours, 22 minutes, 30 seconds.
-
To count from 1 to 138,342,125,697,750 would take you about ten million, nine hundred ninety-seven thousand, one hundred twenty-nine 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 138342125697750 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138342125697750
- 138342125697750 backwards is 057796521243831
- The number of decimal digits it has is: 15
- The sum of 138342125697750's digits is 63
- 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 138342125697750 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138342125697750 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138342125697750/
Chicago style:
Numbermatics. 2024. "Number 138342125697750 - Facts about the integer". https://numbermatics.com/n/138342125697750/
The information we have on file for 138342125697750 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 138342125697750, math, Factors of 138342125697750, curriculum, school, college, exams, university, Prime factorization of 138342125697750, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred forty-two billion, one hundred twenty-five million, six hundred ninety-seven thousand, seven hundred fifty.