138741488724551625
138,741,488,724,551,625 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138741488724551625 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138741488724551625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138741488724551625:
33 × 53 × 114 × 313 × 3072
(3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 31 × 31 × 31 × 307 × 307)See below for interesting mathematical facts about the number 138741488724551625 from the Numbermatics database.
Names of 138741488724551625
- Cardinal: 138741488724551625 can be written as One hundred thirty-eight quadrillion, seven hundred forty-one trillion, four hundred eighty-eight billion, seven hundred twenty-four million, five hundred fifty-one thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38741488724551625 × 1017
Factors of 138741488724551625
Divisors of 138741488724551625
- Number of divisors d(n): 960
-
Complete list of divisors:
1 3 5 9 11 15 25 27 31 33 45 55 75 93 99 121 125 135 155 165 225 275 279 297 307 341 363 375 465 495 605 675 775 825 837 921 961 1023 1089 1125 1331 1375 1395 1485 1535 1705 1815 2325 2475 2763 2883 3025 3069 3267 3375 3377 3751 3875 3993 4125 4185 4605 4805 5115 5445 6655 6975 7425 7675 8289 8525 8649 9075 9207 9517 10131 10571 11253 11625 11979 12375 13815 14415 14641 15125 15345 16335 16885 18755 19965 20925 23025 24025 25575 25947 27225 28551 29791 30393 31713 33275 33759 34875 35937 37125 37147 38375 41261 41445 42625 43245 43923 45375 46035 47585 50655 52855 56265 59895 69075 72075 73205 76725 81675 84425 85653 89373 91179 93775 94249 95139 99825 101277 104625 104687 111441 115125 116281 120125 123783 127875 129735 131769 136125 142755 148955 151965 158565 166375 168795 179685 185735 206305 207225 216225 219615 230175 237925 253275 256959 264275 268119 281325 282747 285417 295027 299475 314061 327701 334323 345375 348843 360375 366025 371349 383625 395307 408375 408617 422125 428265 446865 453871 455895 468875 471245 475695 499125 506385 523435 557205 581405 618915 648675 658845 713775 744775 759825 792825 804357 843975 848241 885081 898425 928675 942183 983103 1002969 1031525 1036125 1036739 1046529 1081125 1098075 1114047 1150875 1151557 1189625 1225851 1266375 1279091 1284795 1321375 1340595 1361613 1406625 1413735 1427085 1475135 1497375 1570305 1638505 1671615 1744215 1830125 1856745 1976535 2043085 2141325 2234325 2269355 2279475 2356225 2378475 2531925 2544723 2617175 2655243 2786025 2826549 2907025 2921719 2949309 3094575 3110217 3139587 3243375 3245297 3294225 3454671 3568875 3604711 3677553 3723875 3799125 3837273 3964125 4021785 4084839 4219875 4241205 4425405 4492125 4494787 4643375 4710915 4915515 5014845 5157625 5183695 5232645 5490375 5570235 5757785 6129255 6395455 6423975 6702975 6808065 7068675 7135425 7375675 7851525 7965729 8192525 8358075 8721075 8765157 8847927 9145837 9283725 9330651 9735891 9882675 10215425 10364013 10706625 10814133 11032659 11171625 11346775 11397375 11404129 11511819 11781125 11892375 12254517 12659625 12667127 12723615 13085875 13276215 13484361 13930125 14070001 14132745 14535125 14608595 14746545 15472875 15551085 15697935 16226485 16471125 17273355 18023555 18387765 19186365 20108925 20424195 21206025 22127025 22473935 23554575 24577575 25074225 25918475 26163225 26295471 27437511 27851175 27991953 28788925 29207673 30646275 31092039 31977275 32119875 32138909 32442399 33514875 34040325 34212387 34535457 35343375 35677125 35698267 36878375 38001381 39257625 39651821 39828645 40453083 40962625 41790375 42210003 43605375 43825785 44239635 45729185 46418625 46653255 48679455 49413375 51077125 51820065 54070665 55163295 56733875 57020645 57559095 61272585 63335635 63618075 66381075 67421805 70350005 70663725 73042975 73732725 77755425 78489675 78886413 81132425 82312533 86366775 87623019 90117775 90573289 91938825 95931825 96416727 97327197 100544625 100604207 102120975 102637161 106030125 107094801 110635125 112369675 114004143 117772875 118955463 121359249 122887875 125371125 125445419 126630009 129592375 130816125 131477355 137187555 139255875 139338397 139959765 143944625 146038365 153231375 155460195 159886375 160694545 162211995 170201625 171061935 172677285 178491335 190006905 198259105 199143225 202265415 211050015 219128925 221198175 228645925 233266275 243397275 246937599 259100325 270353325 271719867 275816475 285103225 287795475 289250181 301812621 306362925 307911483 316678175 318090375 321284403 331905375 337109025 342012429 351750025 353318625 353527999 356866389 365214875 368663625 376336257 379890027 388777125 392448375 392680937 394432065 405662125 411562665 418015191 431833875 436170031 438115095 450588875 452866445 459694125 479659125 482083635 486635985 503021035 510604875 513185805 535474005 561848375 570020715 594777315 606796245 627227095 633150045 657386775 685937775 696691985 699798825 730191825 777300975 803472725 811059975 815159601 855309675 863386425 867750543 892456675 905437863 950034525 963853209 991295525 995716125 996306179 1011327075 1055250075 1060583997 1070599167 1095644625 1105990875 1106646277 1129008771 1143229625 1166331375 1178042811 1216986375 1234687995 1254045573 1295501625 1308510093 1351766625 1358599335 1379082375 1379899609 1425516125 1438977375 1446250905 1509063105 1531814625 1539557415 1583390875 1606422015 1685545125 1710062145 1758750125 1767639995 1784331945 1881681285 1899450135 1963404685 1972160325 2057813325 2090075955 2180850155 2190575475 2264332225 2410418175 2433179925 2445478803 2515105175 2565929025 2677370025 2716313589 2807771959 2850103575 2973886575 2988918537 3033981225 3136135475 3165750225 3181751991 3286933875 3319938831 3387026313 3429688875 3483459925 3498994125 3534128433 3650959125 3762136719 3886504875 3888807989 3925530279 4017363625 4055299875 4075798005 4139698827 4276548375 4316932125 4319490307 4338752715 4462283375 4527189315 4750172625 4819266045 4956477625 4981530895 5056635375 5276250375 5302919985 5352995835 5533231385 5645043855 5890214055 6173439975 6270227865 6542550465 6792996675 6899498045 7231254525 7545315525 7697787075 8032110075 8423315877 8550310725 8838199975 8921659725 8966755611 9408406425 9497250675 9545255973 9817023425 9860801625 9959816493 10289066625 10450379775 10602385299 10904250775 10952877375 10959367969 11321661125 11666423967 11776590837 12052090875 12165899625 12173109047 12227394015 12419096481 12575525875 12829645125 12958470921 13386850125 13581567945 14038859795 14250517875 14869432875 14944592685 15169906125 15680677375 15828751125 15908759955 16599694155 16935131565 17417299625 17670642165 18810683595 19444039945 19627651395 20378990025 20698494135 21597451535 21693763575 22635946575 24096330225 24907654475 25269947631 26514599925 26764979175 26900266833 27666156925 28225219275 29451070275 29879449479 30867199875 30885491549 31351139325 32712752325 32878103907 33964983375 34497490225 34999271901 36156272625 36519327141 37257289443 37726577625 38488935375 38875412763 40160550375 42116579385 42751553625 42776887879 44190999875 44608298625 44833778055 47042032125 47486253375 47726279865 49085117125 49799082465 52251898875 53011926495 54521253875 54796839845 58332119835 58882954185 60865545235 61136970075 62095482405 64792354605 67907839725 70194298975 74722963425 75809842893 79543799775 82998470775 84675657825 88353210825 92656474647 94053417975 97220199725 98138256975 98634311721 101894950125 103492470675 104997815703 107987257675 108468817875 109557981423 113179732875 116626238289 120481651125 120553047659 124538272375 126349738155 128330663637 132572999625 133824895875 133904199517 134501334165 138330784625 141126096375 147255351375 149397247395 154427457745 156755696625 163563761625 164390519535 172487451125 174996359505 182596635705 186286447215 194377063815 210582896925 213884439395 224168890275 238631399325 248995412325 265059632475 273984199225 277969423941 291660599175 294414770925 295902935163 304327726175 305684850375 310477412025 323961773025 328673944269 339539198625 339740407039 350971494875 361659142977 373614817125 379049214465 384991990911 397718998875 401712598551 414992353875 423378289125 441766054125 463282373235 470267089875 486100998625 490691284875 493171558605 517462353375 524989078515 539936288375 547789907115 583131191445 602765238295 631748690775 641653318185 669520997585 672506670825 746986236975 772137288725 821952597675 833908271823 874981797525 912983178525 931432236075 971885319075 1019221221117 1052914484625 1069422196975 1084977428931 1120844451375 1154975972733 1193156996625 1205137795653 1244977061625 1325298162375 1326083524249 1369920996125 1389847119705 1458302995875 1472073854625 1479514675815 1521638630875 1552387060125 1619808865125 1643369721345 1698702035195 1808295714885 1895246072325 1924959954555 2008562992755 2316411866175 2465857793025 2624945392575 2738949535575 2915655957225 3013826191475 3057663663351 3158743453875 3208266590925 3254932286793 3347604987925 3362533354125 3615413386959 3734931184875 3737144477429 3860686443625 3978250572747 4109762988375 4169541359115 4374908987625 4564915892625 4657161180375 4859426595375 5096106105585 5347110984875 5424887144655 5774879863665 6025688978265 6630417621245 6949235598525 7397573379075 8216848606725 8493510175975 9041478574425 9172990990053 9476230361625 9624799772775 10042814963775 11211433432287 11582059330875 11934751718241 12329288965125 13124726962875 13694747677875 14578279786125 15069130957375 15288318316755 16041332954625 16274661433965 16738024939625 18077066934795 18685722387145 19891252863735 20847706795575 25480530527925 27124435723275 28874399318325 30128444891325 33152088106225 33634300296861 34746177992625 35804255154723 36987866895375 41084243033625 41108589251719 42467550879875 45207392872125 45864954950265 48123998863875 50214074818875 56057167161435 59673758591205 76441591583775 81373307169825 90385334673975 93428611935725 99456264318675 100902900890583 104238533977875 123325767755157 127402652639625 135622178616375 144371996591625 150642224456625 165760440531125 168171501484305 179021275773615 205542946258595 229324774751325 280285835807175 298368792956025 369977303265471 382207957918875 406866535849125 451926673369875 467143059678625 497281321593375 504514504452915 616628838775785 840857507421525 895106378868075 1027714731292975 1109931909796413 1146623873756625 1401429179035875 1491843964780125 1849886516327355 2522572522264575 3083144193878925 4204287537107625 4475531894340375 5138573656464875 5549659548982065 9249432581636775 12612862611322875 15415720969394625 27748297744910325 46247162908183875 138741488724551625
- Sum of all divisors σ(n): 292525718099097600
- Sum of proper divisors (its aliquot sum) s(n): 153784229374545975
- 138741488724551625 is an abundant number, because the sum of its proper divisors (153784229374545975) is greater than itself. Its abundance is 15042740649994350
Bases of 138741488724551625
- Binary: 1111011001110100010100110000111110000100100100111110010012
- Hexadecimal: 0x1ECE8A61F0927C9
- Base-36: 11Y3R40RII89
Squares and roots of 138741488724551625
- 138741488724551625 squared (1387414887245516252) is 19249200693504885695611057290140625
- 138741488724551625 cubed (1387414887245516253) is 2670662760974539419109085033881604969289486322265625
-
The
square root of 138741488724551625 is 372480185.6804622365 -
The
cube root of 138741488724551625 is 517688.8168447639
Scales and comparisons
How big is 138741488724551625?- 138,741,488,724,551,625 seconds is equal to 4,411,550,185 years, 43 weeks, 4 days, 6 hours, 33 minutes, 45 seconds.
-
To count from 1 to 138,741,488,724,551,625 would take you about thirteen billion, two hundred thirty-four million, six hundred fifty thousand, five hundred fifty-seven 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 138741488724551625 cubic inches would be around 43140.7 feet tall.
Recreational maths with 138741488724551625
- 138741488724551625 backwards is 526155427884147831
- The number of decimal digits it has is: 18
- The sum of 138741488724551625's digits is 81
- More coming soon!
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"Number 138741488724551625 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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The information we have on file for 138741488724551625 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 138741488724551625, math, Factors of 138741488724551625, curriculum, school, college, exams, university, Prime factorization of 138741488724551625, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred forty-one trillion, four hundred eighty-eight billion, seven hundred twenty-four million, five hundred fifty-one thousand, six hundred twenty-five.