138712340141791689
138,712,340,141,791,689 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138712340141791689 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 648 divisors.
138712340141791689 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138712340141791689:
3 × 72 × 132 × 192 × 3072 × 379 × 433
(3 × 7 × 7 × 13 × 13 × 19 × 19 × 307 × 307 × 379 × 433)See below for interesting mathematical facts about the number 138712340141791689 from the Numbermatics database.
Names of 138712340141791689
- Cardinal: 138712340141791689 can be written as One hundred thirty-eight quadrillion, seven hundred twelve trillion, three hundred forty billion, one hundred forty-one million, seven hundred ninety-one thousand, six hundred eighty-nine.
Scientific notation
- Scientific notation: 1.38712340141791689 × 1017
Factors of 138712340141791689
Divisors of 138712340141791689
- Number of divisors d(n): 648
-
Complete list of divisors:
1 3 7 13 19 21 39 49 57 91 133 147 169 247 273 307 361 379 399 433 507 637 741 921 931 1083 1137 1183 1299 1729 1911 2149 2527 2653 2793 3031 3211 3549 3991 4693 4927 5187 5629 5833 6447 7201 7581 7959 8227 8281 9093 9633 11973 12103 14079 14781 15043 16887 17499 17689 18571 21217 21603 22477 24681 24843 27937 32851 34489 36309 39403 40831 45129 50407 51883 53067 55713 57589 61009 63651 64051 67431 73177 75829 83811 93613 94249 98553 103467 106951 110827 116353 118209 122493 132931 136819 151221 155649 156313 157339 164107 172767 183027 192153 195559 219531 227487 229957 241423 275821 280839 282747 285817 320853 332481 349059 352849 363181 398793 403123 410457 427063 448357 468939 472017 492321 512239 530803 586677 655291 659743 689871 724269 748657 775789 814471 827463 857451 930517 957733 985777 1058547 1089543 1094191 1148749 1209369 1216969 1225237 1281189 1345071 1390363 1440751 1512589 1536717 1592409 1728103 1778647 1790731 1965873 1979229 2032069 2133391 2210707 2245971 2327367 2443413 2525689 2542267 2791551 2873199 2957331 2989441 3118033 3138499 3282573 3446247 3585673 3650907 3675711 3715621 4171089 4322253 4537767 4587037 4618201 5184309 5240599 5335941 5372193 5430523 5701297 6096207 6400173 6513619 6632121 6704131 6900439 7577067 7626801 7659337 8041243 8518783 8576659 8968323 9354099 9415497 9732541 10085257 10588123 10757019 11146863 12096721 12450529 12535117 13761111 13854603 14224483 14933737 15474949 15721797 15928081 16291569 17103891 17679823 18729763 19540857 19663657 20112393 20701317 21826231 22465339 22978011 23122411 23279503 24123729 25556349 25729977 26416897 27734083 28739191 29197623 30255771 31764369 32833957 34023889 35720371 36290163 37351587 37605351 40534429 40809817 42003433 42673449 44801211 46424847 47784243 47988091 48303073 50380849 53039469 56189289 58990971 59242627 59631481 60036613 65478693 67396017 68127787 69367233 69838509 70596799 74116861 79250691 83202249 84677047 86217573 87153703 87745819 98501871 99571381 102071667 104536159 107161113 108324643 111496567 121603287 122429451 123758761 126010299 131108341 137645599 143964273 144909219 151142547 152783617 157257373 161856877 162956521 177727881 178894443 180109839 184918279 194138581 201174337 204383361 211790397 222350583 229837699 238167223 250042597 254031141 261461109 263237457 283741003 285668719 294024031 298714143 302633539 313608477 324973929 334489701 335916637 352665943 371276283 373609483 393325023 412936797 414698389 426841441 442310557 458350851 464364823 471772119 485570631 488869563 526947577 530527621 546044629 554754837 582415743 603523011 623845183 654951037 678687049 689513097 714501669 750127791 770154151 775386523 780475969 851223009 857006157 882072093 907900617 917758387 957236131 963519193 1007749911 1057997829 1100801611 1120828449 1132998139 1140695647 1244095167 1280524323 1294427953 1326931671 1358970067 1393094469 1408220359 1580842731 1591582863 1608863893 1638133887 1667170561 1750298179 1871535549 1964853111 1986187021 1999681033 2036061147 2058168217 2118434773 2310462453 2326159569 2341427907 2351416459 2468661601 2615266381 2753275161 2871708393 2890557579 2902888723 2987890087 3096173899 3250553761 3302404833 3398994417 3422086941 3688633039 3713693347 3822312403 3883283859 4076910201 4224661077 4366916281 4584657259 4750809343 4826591679 5001511683 5250894537 5391079057 5427705661 5750037241 5958561063 5999043099 6036742699 6174504651 6355304319 6700652917 6896859073 7054249377 7098580177 7405984803 7845799143 8109987379 8514363481 8708666169 8822931637 8963670261 9288521697 9751661283 10012003963 10080024799 11065899117 11141080041 11466937209 12444069703 12895053931 13100748843 13753971777 14252428029 14732343937 14829043411 15466920643 16173237171 16283116983 17250111723 18110228097 18187486489 18306864667 20101958751 20690577219 20915230609 21295740531 21673217293 22753876327 24329962137 25543090443 25820431273 25995853429 26468794911 26756186821 30036011889 30240074397 30568413967 32092600813 33255665401 37332209109 37737553399 37993939627 38685161793 40250260687 42257198893 44197031811 44487130233 46400761929 46904570419 48278013511 49690061239 54562459467 54920594001 56769911653 59600544367 61760521459 62745691827 65019651879 68261628981 70084027741 70560173593 77461293819 77987560287 80268560463 87108487921 90265377517 91705241901 96277802439 99766996203 103126407559 108268444501 113212660197 113981818881 114698111281 120750782061 126771596679 127312405423 131040322387 140713711257 144834040533 149070183717 161772906139 167635701103 170309734959 178801633101 185281564377 191520471181 201069968359 210252083223 211680520779 236437324357 261325463763 270796132551 281751824809 293871492217 295800392251 309379222677 324805333503 337946094577 344094333843 347830428673 381937216269 393120967161 397389381571 417203810569 432323650213 485318718417 490588194187 493921215151 502907103309 574561413543 603209905077 609759415447 631857642619 709311973071 721884852913 757879111507 802886778967 845255474427 881614476651 887401176753 891186837961 917282256709 1013838283731 1043491286019 1132410342973 1173449907721 1192168144713 1251611431707 1296970950639 1340643298267 1407489778513 1471764582561 1481763645453 1655061270499 1829278246341 1895572927857 2057100445519 2165654558739 2179264114339 2273637334521 2408660336901 2489766125353 2613909588667 2673560513883 2751846770127 3073685216641 3397231028919 3520349723163 3820329398821 4021929894801 4222469335539 4965183811497 5583558352123 5620207452769 6171301336557 6420975796963 6537792343017 7469298376059 7841728766001 7926872400811 8214149354047 9221055649923 9384503087869 9852428449591 11460988196463 11585428893493 14399703118633 15254848800373 16750675056369 16860622358307 17428362877471 18297367120669 19262927390889 21515796516487 23780617202433 24642448062141 26742305791747 28153509263607 29557285348773 34756286680479 39084908464861 43199109355899 45764546401119 49664282184673 52285088632413 54892101362007 64547389549461 72586258577599 80226917375241 106783941602611 117254725394583 121998540142297 128081569844683 148992846554019 150610575615409 187196140542229 217758775732797 273594359254027 320351824807833 347649975292711 365995620426891 384244709534049 451831726846227 508103810043193 561588421626687 820783077762081 943621361508787 1042949925878133 1524311430129579 2433549827048977 2830864084526361 3556726670302351 6605349530561509 7300649481146931 10670180010907053 19816048591684527 46237446713930563 138712340141791689
- Sum of all divisors σ(n): 247900797257571360
- Sum of proper divisors (its aliquot sum) s(n): 109188457115779671
- 138712340141791689 is a deficient number, because the sum of its proper divisors (109188457115779671) is less than itself. Its deficiency is 29523883026012018
Bases of 138712340141791689
- Binary: 1111011001100111000100011011100000001110101011001110010012
- Hexadecimal: 0x1ECCE23701D59C9
- Base-36: 11XTF5CHXL1L
Squares and roots of 138712340141791689
- 138712340141791689 squared (1387123401417916892) is 19241113307612113967589403069472721
- 138712340141791689 cubed (1387123401417916893) is 2668979853832246094917708455294736415799461450015769
-
The
square root of 138712340141791689 is 372441055.9293801715 -
The
cube root of 138712340141791689 is 517652.5600808521
Scales and comparisons
How big is 138712340141791689?- 138,712,340,141,791,689 seconds is equal to 4,410,623,351 years, 3 weeks, 4 days, 6 hours, 8 minutes, 9 seconds.
-
To count from 1 to 138,712,340,141,791,689 would take you about thirteen billion, two hundred thirty-one million, eight hundred seventy thousand and fifty-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 138712340141791689 cubic inches would be around 43137.7 feet tall.
Recreational maths with 138712340141791689
- 138712340141791689 backwards is 986197141043217831
- The number of decimal digits it has is: 18
- The sum of 138712340141791689's digits is 75
- More coming soon!
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The information we have on file for 138712340141791689 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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