138648347370225
138,648,347,370,225 is an odd composite number composed of seven prime numbers multiplied together.
138648347370225 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138648347370225:
34 × 52 × 7 × 11 × 173 × 29 × 792
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 17 × 17 × 17 × 29 × 79 × 79)See below for interesting mathematical facts about the number 138648347370225 from the Numbermatics database.
Names of 138648347370225
- Cardinal: 138648347370225 can be written as One hundred thirty-eight trillion, six hundred forty-eight billion, three hundred forty-seven million, three hundred seventy thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.38648347370225 × 1014
Factors of 138648347370225
Divisors of 138648347370225
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 3 5 7 9 11 15 17 21 25 27 29 33 35 45 51 55 63 75 77 79 81 85 87 99 105 119 135 145 153 165 175 187 189 203 225 231 237 255 261 275 289 297 315 319 357 385 395 405 425 435 459 493 495 525 553 561 567 595 609 675 693 711 725 765 783 825 867 869 891 935 945 957 1015 1071 1155 1185 1275 1305 1309 1343 1377 1445 1479 1485 1575 1595 1659 1683 1785 1827 1925 1975 2023 2025 2079 2133 2175 2233 2291 2295 2349 2465 2475 2601 2607 2765 2805 2835 2871 2975 3045 3179 3213 3451 3465 3555 3825 3915 3927 4029 4335 4345 4437 4455 4675 4725 4785 4913 4977 5049 5075 5355 5423 5481 5775 5925 6069 6083 6237 6241 6399 6525 6545 6699 6715 6873 6885 7225 7395 7425 7803 7821 7975 8295 8381 8415 8613 8925 9135 9401 9537 9639 10115 10353 10395 10665 11165 11455 11475 11745 11781 12087 12325 13005 13035 13311 13825 14025 14175 14355 14739 14773 14931 15147 15225 15895 16037 16065 16269 16443 17255 17325 17775 18207 18249 18723 19575 19635 20097 20145 20619 21675 21725 22185 22253 22275 22831 23409 23463 23925 24565 24885 25143 25201 25245 25839 26775 27115 27405 28203 28611 30345 30415 31059 31185 31205 31995 32725 33495 33575 34365 34391 34425 35343 36261 36975 37961 38947 39015 39105 39933 41475 41905 42075 43065 43687 44217 44319 44793 45675 47005 47685 48111 48195 48807 50575 51765 51975 53325 54043 54621 54747 55825 56169 57275 58667 58725 58905 60291 60435 61857 65025 65175 66555 66759 68493 68651 70389 71775 73695 73865 74655 75429 75603 75735 79475 80185 80325 81345 82215 84609 85833 86275 91035 91245 92191 93177 93615 98175 100485 100725 103095 103173 103411 106029 106097 108783 110925 111265 113883 114155 116841 117045 117315 122825 124425 125715 126005 126225 129195 131061 132651 132957 135575 137025 141015 142477 143055 144333 146421 151725 152075 155295 155925 156025 159817 159975 162129 163863 164241 167475 168507 171825 171955 176001 176407 176715 180873 180989 181305 185571 189805 194735 195075 195525 199665 200277 205479 205953 209525 215325 218435 221085 221595 223965 226287 226809 235025 238425 240555 240975 244035 251141 253827 257499 258825 270215 272629 273105 273735 276573 279531 280845 293335 294525 301455 302175 309285 309519 310233 318291 332775 333795 341649 342465 343255 350523 351945 368475 369325 373275 377145 378015 378301 378675 388127 393183 397953 398871 400925 406725 411075 423045 427431 428417 429165 432999 439263 455175 456225 460955 465885 468075 479451 480557 486387 492723 502425 505521 515475 515865 517055 528003 529221 530145 530485 542967 543915 556325 569415 570775 584205 585225 586575 600831 616437 617859 628575 630025 645337 645975 655305 662099 663255 664785 678861 680427 705075 712385 715275 721665 732105 742679 753423 761481 776475 799085 810645 817887 819315 821205 829719 842535 859775 880005 882035 883575 904365 904945 906525 927855 928557 930699 949025 954873 973675 997339 998325 1001385 1024947 1027395 1029765 1051569 1092175 1105425 1107975 1119825 1131435 1134045 1134903 1164381 1167067 1179549 1196613 1202775 1220175 1255705 1266923 1269135 1282293 1285251 1287495 1298997 1351075 1363145 1365525 1368675 1382865 1397655 1404225 1438353 1441671 1459161 1466675 1507275 1546425 1547595 1551165 1567247 1584009 1587663 1591455 1628901 1668975 1708245 1712325 1716275 1752615 1757987 1759725 1802493 1803649 1849311 1853577 1885725 1890075 1891505 1936011 1940635 1965915 1986297 1989765 1990879 1994355 2041281 2115225 2137155 2142085 2145825 2164995 2196315 2228037 2260269 2304775 2329425 2397255 2402785 2431935 2453661 2463615 2489157 2527605 2579325 2585275 2640015 2646105 2650725 2652425 2714835 2716889 2719575 2785671 2792097 2847075 2864619 2921025 2992017 2998919 3004155 3074841 3076813 3082185 3089295 3154707 3226685 3276525 3310495 3316275 3323925 3394305 3402135 3404709 3493143 3501201 3538647 3561925 3608325 3660525 3713395 3767115 3800769 3807405 3846879 3855753 3995425 4053225 4089435 4096575 4106025 4148595 4212675 4269397 4315059 4325013 4377483 4400025 4410175 4521825 4524725 4634693 4639275 4642785 4653495 4701741 4752027 4762989 4774365 4886703 4986695 5006925 5124735 5136975 5148825 5257845 5273961 5410947 5560731 5657175 5670225 5674515 5808033 5821905 5835335 5897745 5958891 5972637 5983065 6278525 6334615 6345675 6411465 6426255 6437475 6494985 6684111 6780807 6815725 6914325 6988275 7191765 7208355 7283089 7295805 7360983 7467471 7737975 7755825 7836235 7920045 7938315 7957275 8144505 8150667 8169469 8376291 8541225 8593857 8763075 8789935 8976051 8996757 9012465 9018245 9230439 9246555 9267885 9457525 9680055 9703175 9829575 9931485 9948825 9954395 9971775 10206405 10214127 10479429 10503603 10685775 10710425 10824975 10970729 10981575 11140185 11255683 11301345 11402307 11540637 11567259 11986275 12013925 12159675 12268305 12318075 12445785 12625543 12638025 12808191 12945177 12975039 13200075 13230525 13574175 13584445 13904079 13928355 13936153 13960485 14105223 14288967 14323095 14660109 14960085 14994595 15020775 15374205 15384065 15410925 15446475 15773535 15821883 16133425 16232841 16552475 16971525 17010675 17023545 17424099 17465715 17506005 17693235 17876673 17917911 18566975 18835575 19003845 19037025 19234395 19278765 19840139 20052333 20342421 20447175 20742975 21346985 21537691 21575295 21625065 21849267 21887415 22082949 23173465 23213925 23267475 23508705 23760135 23814945 23871825 24433515 24452001 24508407 24933475 25623675 26289225 26369805 26928153 26990271 27054735 27691317 27803655 28372575 29040165 29109525 29176675 29488725 29794455 29863185 29885779 29915325 30642381 30662033 31438287 31510809 31673075 32057325 32131275 32474925 32912187 33420555 33767049 33844943 33904035 34206921 34701777 35958825 36041775 36415445 36479025 36804915 37337355 37876629 38424573 38925117 39181175 39600225 39691575 40722525 40753335 40847345 41712237 41808459 41881455 42315669 42969285 43949675 44880255 44983785 45062325 45091225 46152195 46232775 46339425 47465649 48400275 48698523 49657425 49771975 50981623 51032025 51070635 52272297 52305821 52397145 52518015 53630019 53753733 54853645 55700925 56278415 56506725 57011535 57703185 57836295 59520417 60156999 61341525 62228925 63127715 64040955 64613073 64725885 64875195 65547801 67922225 69520395 69641775 69680765 69802425 70526115 71444835 71615475 73300545 73356003 73525221 74800425 74972975 76871025 76920325 78789781 78867675 79109415 80784459 80970813 81164205 83073951 85117725 87120495 87328575 87530025 88466175 89383365 89589555 89657337 91986099 94532427 95019225 96171975 96393825 98736561 99200695 100261665 101301147 101534829 101712105 102620763 106734925 107688455 107876475 108125325 109246335 109437075 110414745 113629887 115273719 115867325 117543525 118800675 119074725 122167575 122260005 122542035 123812513 125136711 125425377 126947007 131849025 134640765 134951355 135273675 138456585 138880973 139018275 142396947 145200825 146095569 148972275 149315925 149428895 152944869 153211905 153310165 156917463 157191435 157554045 161261199 164560935 167102775 168835245 169224715 169520175 171034605 173508885 178561251 182077225 184024575 186686775 189383145 192122865 193839219 194625585 196643403 203766675 204236725 208561185 209042295 209407275 211578345 214634231 214846425 220068009 220575663 224401275 224918925 230760975 236369343 236914601 237328245 242912439 243492615 249221853 254908115 255353175 261361485 261529105 261985725 262590075 268150095 268768665 268972011 274268225 275958297 281392075 285057675 288515925 289181475 296209683 297602085 300784995 303903441 304604487 315638575 320204775 323065365 323629425 324375975 327739005 337282363 340889661 345821157 347601975 348403825 352630575 357224175 366140747 366502725 366780015 367626105 371437539 375410133 376276131 393948905 395547075 403922295 404854065 405821025 415369755 416642919 435602475 446916825 447947775 448286685 458834607 459930495 470752389 472662135 493682805 496003475 501308325 506505735 507674145 508560525 513103815 535683753 538442275 546231675 552073725 568149435 575364031 576368595 581517657 589930209 611300025 612710175 619062565 625683555 627126885 634735035 643902693 661726989 673203825 674756775 692282925 694404865 709108029 710743803 711984735 730477845 747144475 764724345 766059525 766550825 784587315 785957175 787770225 806305995 806916033 822804675 827874891 844176225 846123575 855173025 866687591 867544425 888629049 889198957 892806255 911710323 913813461 946915725 960614325 969196095 973127925 983217015 1011847089 1022668983 1042805925 1045211475 1057891725 1073171155 1098422241 1100340045 1102878315 1114312617 1128828393 1181846715 1184573005 1186641225 1214562195 1217463075 1246109265 1249928757 1274540575 1306807425 1307645525 1340750475 1343843325 1344860055 1376503821 1379791485 1412257167 1481048415 1488010425 1503924975 1519517205 1523022435 1607051259 1615326825 1638695025 1686411815 1704448305 1726092093 1729105785 1744552971 1830703735 1833900075 1838130525 1857187695 1877050665 1881380655 1931708079 1969744525 2019611475 2024270325 2076848775 2083214595 2127324087 2132231409 2241433425 2294173035 2299652475 2353761945 2360976541 2363310675 2420748099 2468414025 2483624673 2532528675 2538370725 2565519075 2600062773 2667596871 2678418765 2741440383 2840747175 2876820155 2881842975 2907588285 2949651045 3035541267 3095312825 3128417775 3135634425 3173675175 3219513465 3295266723 3308634945 3342937851 3472024325 3545540145 3553719015 3559923675 3652389225 3749786271 3823621725 3922936575 4027548217 4031529975 4034580165 4129511463 4139374455 4236771501 4333437955 4443145245 4445994785 4464031275 4558551615 4569067305 4845980475 4916085075 5059235445 5113344915 5178276279 5365855775 5492111205 5501700225 5514391575 5571563085 5644141965 5795124237 5909233575 5922865025 6072810975 6224392699 6230546325 6249643785 6381972261 6396694227 6724300275 6882519105 6898957425 7061285835 7082929623 7405242075 7597586025 7615112175 7800188319 8002790613 8035256295 8432059075 8522241525 8630460465 8645528925 8722764855 9106623801 9153518675 9285938475 9385253325 9406903275 9658540395 9781188527 9885800169 10028813553 10416072975 10636620435 10661157045 11249358813 11470865175 11768809725 11804882705 12082644651 12103740495 12418123365 13000313865 13337984355 13392093825 13707201915 14384100775 14537941425 14748255225 15177706335 15534828837 16097567325 16476333615 16543174725 16714689255 17385372711 17727700725 17768595075 18673178097 18748931355 19190082681 20137741085 20172900825 20647557315 20696872275 21183857505 21248788869 21667189775 22215726225 22229973925 22792758075 22845336525 23400564957 24008371839 25296177225 25566724575 25891381395 27319871403 27460556025 27857815425 28220709825 28975621185 29343565581 29657400507 31121963495 31248218925 31909861305 31983471135 34412595525 35306429175 35414648115 36247933953 39000941595 40013953065 40176281475 43152302325 43613824275 45533119005 46604486511 48292701975 48905942635 49429000845 50144067765 53183102175 53305785225 56019534291 56246794065 59024413525 60413223255 60518702475 62090616825 63746366607 65001569325 66689921775 68468319689 68536009575 70201694871 72025115517 75888531675 77674144185 82381668075 83573446275 86926863555 88030696743 93365890485 93744656775 95950413405 100688705425 103237786575 105919287525 106243944345 108743801859 117002824785 120041859195 129456906975 136599357015 144878105925 146717827905 148287002535 155609817475 159549306525 159917355675 168058602873 177073240575 181239669765 191239099821 195004707975 200069765325 205404959067 227665595025 233022432555 244529713175 247145004225 250720338825 264092090229 280097671455 281233970325 302066116275 318731833035 326231405577 342341598445 351008474355 360125577585 388370720925 434634317775 440153483715 466829452425 479752067025 504175808619 531219721725 543719009295 585014123925 600209295975 616214877201 682996785075 733589139525 741435012675 792276270687 840293014365 906198348825 956195499105 1027024795335 1165112162775 1320460451145 1400488357275 1593659165175 1631157027885 1711707992225 1755042371775 1800627887925 1848644631603 2200767418575 2520879043095 2718595046475 3081074386005 3961381353435 4201465071825 4780977495525 5135123976675 5545933894809 6602302255725 8155785139425 9243223158015 12604395215475 15405371930025 19806906767175 27729669474045 46216115790075 138648347370225
- Sum of all divisors σ(n): 356447723385600
- Sum of proper divisors (its aliquot sum) s(n): 217799376015375
- 138648347370225 is an abundant number, because the sum of its proper divisors (217799376015375) is greater than itself. Its abundance is 79151028645150
Bases of 138648347370225
- Binary: 111111000011001100101010111111001100010111100012
- Hexadecimal: 0x7E19957E62F1
- Base-36: 1D5A668A29
Squares and roots of 138648347370225
- 138648347370225 squared (1386483473702252) is 19223364228494577673216550625
- 138648347370225 cubed (1386483473702253) is 2665287681176673514348985936264664330140625
-
The
square root of 138648347370225 is 11774903.2849626835 -
The
cube root of 138648347370225 is 51757.2944195301
Scales and comparisons
How big is 138648347370225?- 138,648,347,370,225 seconds is equal to 4,408,588 years, 30 weeks, 17 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,648,347,370,225 would take you about eleven million, twenty-one thousand, four hundred seventy-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 138648347370225 cubic inches would be around 4313.1 feet tall.
Recreational maths with 138648347370225
- 138648347370225 backwards is 522073743846831
- 138648347370225 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138648347370225'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 138648347370225 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 138648347370225 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138648347370225/
Chicago style:
Numbermatics. 2024. "Number 138648347370225 - Facts about the integer". https://numbermatics.com/n/138648347370225/
The information we have on file for 138648347370225 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 138648347370225, math, Factors of 138648347370225, curriculum, school, college, exams, university, Prime factorization of 138648347370225, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred forty-eight billion, three hundred forty-seven million, three hundred seventy thousand, two hundred twenty-five.