138213489073275
138,213,489,073,275 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138213489073275 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1134 divisors.
138213489073275 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 138213489073275:
36 × 52 × 72 × 115 × 312
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 31 × 31)See below for interesting mathematical facts about the number 138213489073275 from the Numbermatics database.
Names of 138213489073275
- Cardinal: 138213489073275 can be written as One hundred thirty-eight trillion, two hundred thirteen billion, four hundred eighty-nine million, seventy-three thousand, two hundred seventy-five.
Scientific notation
- Scientific notation: 1.38213489073275 × 1014
Factors of 138213489073275
Divisors of 138213489073275
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 3 5 7 9 11 15 21 25 27 31 33 35 45 49 55 63 75 77 81 93 99 105 121 135 147 155 165 175 189 217 225 231 243 245 275 279 297 315 341 363 385 405 441 465 495 525 539 567 605 651 675 693 729 735 775 825 837 847 891 945 961 1023 1085 1089 1155 1215 1225 1323 1331 1395 1485 1519 1575 1617 1701 1705 1815 1925 1953 2025 2079 2205 2325 2387 2475 2511 2541 2673 2695 2835 2883 3025 3069 3255 3267 3465 3645 3675 3751 3969 3993 4185 4235 4455 4557 4725 4805 4851 5103 5115 5425 5445 5775 5859 5929 6075 6237 6615 6655 6727 6975 7161 7425 7533 7595 7623 8019 8085 8505 8525 8649 9075 9207 9317 9765 9801 10395 10571 11025 11253 11907 11935 11979 12555 12705 13365 13475 13671 14175 14415 14553 14641 15345 16275 16335 16709 17325 17577 17787 18225 18711 18755 19845 19965 20181 20925 21175 21483 22275 22599 22785 22869 24025 24255 25515 25575 25947 26257 27225 27621 27951 29295 29403 29645 31185 31713 33075 33275 33635 33759 35721 35805 35937 37665 37975 38115 40095 40425 41013 41261 42525 43245 43659 43923 46035 46585 47089 48825 49005 50127 51975 52731 52855 53361 56133 56265 59535 59675 59895 60543 62775 63525 64449 65219 66825 68355 68607 72075 72765 73205 73997 76725 77841 78771 81675 82863 83545 83853 87885 88209 88935 93555 93775 95139 99225 99825 100905 101277 102487 107415 107811 112995 113925 114345 116281 121275 123039 123783 127575 129735 130977 131285 131769 138105 139755 141267 146475 147015 148225 150381 155925 158193 158565 160083 161051 168175 168795 178605 179025 179685 181629 183799 188325 190575 193347 195657 200475 205065 205821 206305 216225 218295 219615 221991 230175 232925 233523 235445 236313 245025 248589 250635 251559 263655 264275 266805 280665 281325 285417 288827 297675 299475 302715 303831 307461 322245 323433 326095 341775 343035 348843 363825 366025 369117 369985 371349 389205 392931 393855 395307 414315 417725 419265 423801 439425 441045 444675 451143 453871 467775 475695 480249 483153 504525 506385 512435 517979 537075 539055 544887 551397 564975 571725 580041 581405 586971 615195 617463 618915 648675 654885 656425 658845 665973 690525 698775 700569 706335 708939 717409 735075 751905 754677 790965 792825 800415 805255 813967 843975 856251 866481 893025 898425 908145 911493 918995 922383 966735 970299 978285 1025325 1029105 1031525 1046529 1091475 1098075 1107351 1109955 1114047 1127357 1167615 1177225 1181565 1185921 1242945 1253175 1257795 1271403 1279091 1318275 1334025 1353429 1361613 1403325 1427085 1440747 1444135 1449459 1513575 1519155 1537305 1553937 1611225 1617165 1630475 1634661 1654191 1715175 1740123 1744215 1760913 1845585 1849925 1856745 1946025 1964655 1969275 1976535 1997919 2021789 2071575 2096325 2119005 2126817 2152227 2205225 2255715 2264031 2269355 2378475 2401245 2415765 2441901 2531925 2562175 2568753 2589895 2599443 2695275 2724435 2734479 2756985 2767149 2900205 2907025 2934855 3075975 3087315 3094575 3139587 3177097 3274425 3294225 3329865 3342141 3382071 3502845 3531675 3544695 3557763 3587045 3759525 3773385 3814209 3837273 3954825 4002075 4026275 4060287 4069835 4084839 4281255 4322241 4332405 4348377 4540725 4557465 4594975 4611915 4661811 4833675 4851495 4891425 4903983 4962573 4992581 5145525 5232645 5282739 5536755 5549775 5570235 5636785 5697769 5838075 5907825 5929605 5993757 6065367 6214725 6288975 6357015 6380451 6395455 6456681 6767145 6792093 6808065 7135425 7203735 7220675 7247295 7325703 7595775 7686525 7706259 7769685 7798329 7891499 8085825 8173305 8270955 8301447 8700615 8721075 8804565 8953637 9227925 9283725 9418761 9531291 9823275 9882675 9989595 10026423 10108945 10146213 10595025 10634085 10673289 10761135 11278575 11320155 11346775 11442627 11511819 12006225 12078825 12180861 12209505 12254517 12843765 12949475 12997215 13045131 13622175 13672395 13784925 13835745 13985433 14070001 14501025 14674275 14887719 14977743 15436575 15697935 15848217 15885485 16649325 16710705 16910355 17093307 17514225 17723475 17788815 17935225 17981271 18196101 18866925 19071045 19141353 19186365 19370043 20301435 20349175 20424195 21406275 21611205 21662025 21741885 21977109 22239679 22787325 23059575 23309055 23394987 23674497 24257475 24519915 24812865 24904341 24962905 26163225 26413695 26860911 27683775 27851175 28183925 28256283 28488845 28593873 29648025 29968785 30079269 30326835 30438639 31785075 31902255 31977275 32283405 33835725 33960465 34040325 34327881 34535457 34948067 36018675 36236475 36628515 36763551 38531295 38848425 38991645 39135393 39457495 40866525 41354775 41507235 41956299 42210003 43503075 44022825 44663157 44768185 44933229 47093805 47544651 47656455 49947975 50132115 50544725 50731065 51279921 53170425 53366445 53805675 53943813 54588303 56600775 57213135 57559095 58110129 60904305 61047525 61272585 62675459 64218825 64986075 65225655 65931327 66719037 68361975 69178725 69927165 70184961 70350005 71023491 74438595 74713023 74888715 78489675 79241085 79427425 80582733 83553525 84551775 84768849 85466535 85781619 88944075 89906355 90980505 91315917 95355225 95706765 95931825 96850215 98490007 101507175 102120975 103606371 104844201 108056025 108709425 109885545 110290653 111198395 116545275 116974935 117406179 118372485 122599575 124064325 124521705 124814525 125868897 126630009 132068475 133989471 134304555 134799687 141281415 142444225 142969365 149843925 150396345 151634175 152193195 153839763 154770011 159511275 161417025 163764909 169802325 171639405 172677285 174330387 174740335 183142575 183817755 188026377 192656475 194958225 195676965 197287475 197793981 200157111 207536175 209781495 210554883 211050015 213070473 223315785 223840925 224666145 235469025 237723255 238282275 241748199 244636469 250660575 253655325 256399605 257344857 266832225 269719065 272941515 273947751 286065675 287795475 290550645 295470021 304521525 306362925 310819113 313377295 314532603 326128275 329656635 330871959 333595185 349635825 350924805 351750025 355117455 372192975 373565115 374443575 377606691 379890027 396205425 402913665 404399061 423844245 427332675 428908095 449531775 454902525 456579585 461519289 464310033 478533825 484251075 491294727 492450035 518031855 522991161 524221005 549427725 551453265 555991975 564079131 584874675 587030895 591862425 593381943 600471333 622608525 629344485 633150045 639211419 669947355 671522775 673998435 689430049 706407075 714846825 725244597 733909407 751981725 760965975 769198815 772034571 773850055 818824545 821843253 858197025 863386425 871651935 873701675 886410063 919088775 932457339 940131885 943597809 978384825 988969905 1000785555 1048907475 1052774415 1055250075 1065352365 1083390077 1116578925 1123330725 1139670081 1188616275 1208740995 1213197183 1223182345 1281998025 1286724285 1348595325 1364707575 1369738755 1384557867 1392930099 1452753225 1473884181 1477350105 1554095565 1566886475 1572663015 1648283175 1654359795 1667975925 1692237393 1754624025 1775587275 1801413999 1867825575 1888033455 1899450135 1917634257 2014568325 2021995305 2068290147 2119221225 2144540475 2175733791 2201728221 2282897925 2307596445 2316103713 2321550165 2456473635 2462250175 2590159275 2614955805 2621105025 2659230189 2757266325 2820395655 2830793427 2935154475 2966909715 3002356665 3146722425 3165750225 3196057095 3250170231 3349736775 3369992175 3419010243 3447150245 3626222985 3639591549 3669547035 3845994075 3860172855 3869250275 4094122725 4109216265 4153673601 4178790297 4358259675 4432050315 4662286695 4700659425 4717989045 4944849525 5003927775 5076712179 5263872075 5326761825 5404241997 5416950385 5698350405 5752902771 6043704975 6065985915 6115911725 6204870441 6433621425 6527201373 6605184663 6848693775 6922789335 6964650495 7369420905 7386750525 7583730539 7770477825 7863315075 7977690567 8271798975 8461186965 8492380281 9007069995 9440167275 9497250675 9588171285 9750510693 10109976525 10257030729 10341450735 10878668955 11008641105 11537982225 11580518565 11607750825 12282368175 12536370891 13074779025 13296150945 14101978275 14153967135 14834548575 15011783325 15230136537 15980285475 16212725991 16250851155 17095051215 17235751225 18131114925 18197957745 18347735175 18614611323 19300864275 19815553989 20546081325 20768368005 20893951485 22160251575 22751191617 23311433475 23589945225 23933071701 25383560895 25477140843 27021209985 27084751925 28491752025 28764513855 29251532079 30329929575 31024352205 32636006865 33025923315 34613946675 34823252475 36847104525 37609112673 37918652695 39888452835 42305934825 42461901405 45035349975 45690409611 47940856425 48752553465 51285153645 51707253675 54393344775 55043205525 55843833969 57902592825 59446661967 62681854455 66480754725 68253574851 70769835675 71799215103 76150682685 81063629955 81254255775 85475256075 87754596237 90989788725 93073056615 99077769945 103841840025 104469757425 112827338019 113755958085 119665358505 126917804475 127385704215 135106049925 143822569275 146257660395 155121761025 163180034325 165129616575 167531501907 178339985901 188045563365 189593263475 199442264175 204760724553 212309507025 228452048055 243762767325 256425768225 263263788711 279219169845 297233309835 313409272275 341267874255 358996075515 380753413425 405318149775 438772981185 465365283075 495388849725 502594505721 564136690095 568779790425 598326792525 614282173659 636928521075 731288301975 789791366133 837657509535 891699929505 940227816825 1023803622765 1142260240275 1316318943555 1396095849225 1486166549175 1706339371275 1794980377575 1842846520977 2193864905925 2512972528605 2820683450475 3071410868295 3948956830665 4188287547675 4458499647525 5119018113825 5528539562931 6581594717775 9214232604885 12564862643025 15357054341475 19744784153325 27642697814655 46071163024425 138213489073275
- Sum of all divisors σ(n): 339751846513548
- Sum of proper divisors (its aliquot sum) s(n): 201538357440273
- 138213489073275 is an abundant number, because the sum of its proper divisors (201538357440273) is greater than itself. Its abundance is 63324868366998
Bases of 138213489073275
- Binary: 111110110110100010101011110101101011100011110112
- Hexadecimal: 0x7DB455EB5C7B
- Base-36: 1CZQEETSOR
Squares and roots of 138213489073275
- 138213489073275 squared (1382134890732752) is 19102968561808307818319225625
- 138213489073275 cubed (1382134890732753) is 2640287936584608394122382044796796882671875
-
The
square root of 138213489073275 is 11756423.3112488341 -
The
cube root of 138213489073275 is 51703.1270218921
Scales and comparisons
How big is 138213489073275?- 138,213,489,073,275 seconds is equal to 4,394,761 years, 22 weeks, 2 days, 13 hours, 41 minutes, 15 seconds.
-
To count from 1 to 138,213,489,073,275 would take you about ten million, nine hundred eighty-six thousand, nine hundred three 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 138213489073275 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138213489073275
- 138213489073275 backwards is 572370984312831
- 138213489073275 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138213489073275's digits is 63
- More coming soon!
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The information we have on file for 138213489073275 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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