138749411599545825
138,749,411,599,545,825 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138749411599545825 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138749411599545825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138749411599545825:
34 × 52 × 13 × 413 × 53 × 1133
(3 × 3 × 3 × 3 × 5 × 5 × 13 × 41 × 41 × 41 × 53 × 113 × 113 × 113)See below for interesting mathematical facts about the number 138749411599545825 from the Numbermatics database.
Names of 138749411599545825
- Cardinal: 138749411599545825 can be written as One hundred thirty-eight quadrillion, seven hundred forty-nine trillion, four hundred eleven billion, five hundred ninety-nine million, five hundred forty-five thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.38749411599545825 × 1017
Factors of 138749411599545825
Divisors of 138749411599545825
- Number of divisors d(n): 960
-
Complete list of divisors:
1 3 5 9 13 15 25 27 39 41 45 53 65 75 81 113 117 123 135 159 195 205 225 265 325 339 351 369 405 477 533 565 585 615 675 689 795 975 1017 1025 1053 1107 1325 1431 1469 1599 1681 1695 1755 1845 2025 2067 2173 2385 2665 2825 2925 3051 3075 3321 3445 3975 4293 4407 4633 4797 5043 5085 5265 5535 5989 6201 6519 7155 7345 7995 8405 8475 8775 9153 9225 10335 10865 11925 12769 13221 13325 13899 14391 15129 15255 16605 17225 17967 18603 19557 21465 21853 22035 23165 23985 25215 25425 26325 27675 28249 29945 31005 32595 35775 36725 38307 39663 39975 41697 42025 43173 45387 45765 51675 53901 54325 55809 58671 60229 63845 65559 66105 68921 69495 71955 75645 76275 77857 83025 84747 89093 89835 93015 97785 107325 109265 110175 114921 115825 118989 119925 125091 126075 136161 141245 149725 155025 161703 162975 165997 176013 180687 189953 191535 196677 198315 206763 208485 215865 226935 228825 233571 245549 254241 267279 269505 279045 293355 301145 319225 327795 330525 344605 344763 347475 359775 375273 378225 389285 423735 445465 449175 465075 485109 488925 497991 523529 542061 546325 569859 574605 590031 594945 620289 625455 676757 680805 700713 706225 736647 762723 801837 808515 829985 880065 895973 903435 949765 957675 983385 991575 1033815 1034289 1042425 1079325 1134675 1158209 1167855 1227745 1271205 1336395 1347525 1395225 1442897 1466775 1493973 1505725 1570587 1626183 1638975 1709577 1723025 1723815 1770093 1860867 1876365 1946425 2030271 2102139 2118675 2209941 2227325 2288169 2405511 2425545 2469389 2489955 2617645 2687919 2710305 2849295 2873025 2950155 2974725 3101445 3127275 3192137 3383785 3404025 3474627 3503565 3652813 3683235 3813615 4009185 4042575 4149925 4328691 4400325 4479865 4481919 4517175 4711761 4748825 4878549 4916925 5128731 5169075 5171445 5582601 5791045 5839275 6090813 6138725 6306417 6356025 6629823 6681975 6805877 7214485 7216533 7408167 7469865 7788073 7852935 8063757 8130915 8547885 8619075 8797841 8850465 9304335 9381825 9576411 10067509 10151355 10423881 10510695 10958439 11049705 11440845 12027555 12127725 12346945 12449775 12986073 13088225 13439595 13445757 13551525 14135283 14246475 14750775 15386193 15507225 15960685 16918925 17373135 17517825 18264065 18272439 18416175 18757661 19068075 19889469 20045925 20417631 21464689 21643455 22224501 22399325 22409595 23364219 23558805 24191271 24392745 25643655 25857225 26393523 27747037 27913005 28729233 28955225 30202527 30454065 31271643 31532085 32875317 33149115 34029385 36072425 36082665 37040835 37349325 38940365 38958219 39264675 40318785 40654575 42405849 42739425 43989205 44252325 46521675 47486569 47882055 50337545 50756775 52119405 52553475 54792195 54817317 55248525 56272983 57204225 59158777 60137775 61252893 61734725 64394067 64930365 66673503 67197975 67228785 70092657 70676415 72573813 76473541 76930965 79180569 79803425 83241111 86187699 86865675 90607581 91320325 91362195 93788305 93814929 98625951 99447345 101244949 102088155 107323445 108217275 111122505 112047975 116821095 116874657 117794025 120956355 121963725 128218275 130877617 131967615 138735185 139565025 142459707 143646165 151012635 152270325 156358215 157660425 164376585 165745575 168818949 170146925 177476331 180413325 183758679 185204175 193182201 194701825 194791095 200020509 201593925 210277971 212029245 219946025 229420623 237432845 237541707 239410275 249723333 251687725 258563097 260597025 271822743 273960975 274086585 279040957 281364915 295793885 295877853 303734847 306264465 321970335 324651825 333367515 336143925 350463285 353382075 360711481 362869065 382367705 384654825 392632851 395902845 412767869 416205555 427379121 430938495 453037905 456810975 468941525 469074645 493129755 497236725 506224745 506456847 510440775 532428993 536617225 551276037 555612525 579546603 584105475 584373285 604781775 630833913 654388085 659838075 688261869 693675925 712298535 712625121 718230825 749169999 755063175 769064101 781791075 815468229 821882925 837122871 844094745 880052249 887381655 911204541 918793395 965911005 973955475 994156033 1000102545 1051389855 1060146225 1082134443 1137628517 1147103115 1177898553 1187164225 1187708535 1238303607 1248616665 1282137363 1292815485 1359113715 1370432925 1395204785 1406824575 1478969425 1479389265 1518674235 1519370541 1531322325 1597286979 1609851675 1666837575 1738639809 1752316425 1803557405 1814345325 1911838525 1963164255 1979514225 2063839345 2064785607 2081027775 2136895605 2154692475 2247509997 2265189525 2307192303 2345373225 2425509857 2465648775 2511368613 2531123725 2532284235 2640156747 2662144965 2733613623 2756380185 2897733015 2921866425 2982468099 3135415181 3154169565 3246403329 3271940425 3412885551 3441309345 3533695659 3561492675 3563125605 3714910821 3745849995 3845320505 3846412089 4077341145 4185614355 4220473725 4400261245 4436908275 4556022705 4593966975 4791860937 4829555025 4970780165 5000512725 5256949275 5365982297 5410672215 5688142585 5735515575 5889492765 5938542675 6191518035 6194356821 6243083325 6410686815 6464077425 6795568575 6921576909 6976023925 7276529571 7396946325 7534105839 7593371175 7596852705 7920470241 7986434895 8200840869 8693199045 8947404297 9017787025 9406245543 9739209987 9815821275 10238656653 10319196725 10323928035 10601086977 10684478025 11144732463 11237549985 11440679237 11535961515 12127549285 12556843065 12661421175 13200783735 13310724825 13668068115 13781900925 14488665075 14789170721 14912340495 15677075905 15770847825 16097946891 16232016645 17064427755 17206546725 17668478295 17815628025 18574554105 18729249975 19226602525 19232060445 20386705725 20764730727 20928071775 21829588713 22001306225 22602317517 22780113525 23761410723 23959304685 24853900825 26829911485 26842212891 27053361075 28218736629 28440712925 29217629961 29447463825 30715969959 30957590175 30971784105 31531628141 32053434075 33434197389 34322037711 34607884545 36382647855 37670529195 37984263525 39602351205 39932174475 40760397353 41004204345 43465995225 44367512163 44737021485 46642769197 47031227715 48293840673 48696049935 51193283265 51619640175 53005434885 55723662315 56187749925 57203396185 57679807575 60637746425 62294192181 62784215325 65488766139 66003918675 68340340575 71284232169 73945853605 74561702475 78385379525 80489734455 80526638673 81160083225 84656209887 85322138775 88342391475 92147909877 92872770525 94594884423 96160302225 99445904137 102966113133 103823653635 109147943565 113011587585 118807053615 119796523425 122281192059 128552022421 133102536489 134149557425 134211064455 139928307591 141093683145 144881522019 146088149805 153579849795 154858920525 157658140705 167170986945 171610188555 173039422725 181913239275 188352645975 196466298417 198011756025 203801986765 205021021725 221837560815 223685107425 233213845985 235156138575 241469203365 243480249675 253968629661 255966416325 265027174425 278618311575 283784653269 286016980925 298337712411 308898339399 311470960905 327443830695 356421160845 366843576177 369729268025 385656067263 399307609467 402448672275 402633193365 419784922773 423281049435 434644566057 460739549385 472974422115 497229520685 514830565665 519118268175 545739717825 565057937925 594035268075 606355999561 611405960295 642760112105 665512682445 671055322275 699641537955 705468415725 724407610095 730440749025 767899248975 788290703525 835854934725 851353959807 858050942775 895013137233 926695018197 982331492085 1019009933825 1100530728531 1109187804075 1156968201789 1166069229925 1197922828401 1207346016825 1259354768319 1269843148305 1292796753781 1418923266345 1491688562055 1544491696995 1557354804525 1637219153475 1671176291473 1782105804225 1819067998683 1834217880885 1928280336315 1996538047335 2013165966825 2098924613865 2116405247175 2173222830285 2303697746925 2364872110575 2486147603425 2554061879421 2574152828325 2685039411699 3031779997805 3057029801475 3213800560525 3301592185593 3327563412225 3470904605367 3498207689775 3622038050475 3778064304957 3878390261343 4256769799035 4475065686165 4633475090985 4911657460425 5013528874419 5270632919261 5457203996049 5502653642655 5784841008945 5989614142005 6296773841595 6349215741525 6463983768905 7094616331725 7458442810275 7722458484975 8055118235097 8355881457365 9095339993415 9171089404425 9641401681575 9982690236675 10412713816101 10494623069325 10866114151425 11635170784029 12770309397105 13425197058495 15040586623257 15158899989025 15811898757783 16371611988147 16507960927965 17354523026835 18890321524785 19391951306715 21283848995175 22375328430825 23167375454925 25067644372095 26353164596305 27286019980245 27513268213275 28924205044725 29948070710025 31483869207975 32319918844525 34905512352087 40275591175485 41779407286825 45121759869771 45476699967075 47435696273349 49114835964441 52063569080505 58175853920145 63851546985525 67125985292475 68518227950393 75202933116285 79059493788915 81858059940735 82539804639825 86772615134175 94451607623925 96959756533575 104716537056261 125338221860475 131765822981525 135365279609313 136430099901225 142307088820047 174527561760435 201377955877425 205554683851179 225608799348855 237178481366745 245574179822205 260317845402525 290879269600725 342591139751965 376014665581425 395297468944575 409290299703675 426921266460141 523582685281305 616664051553537 676826398046565 711535444100235 872637808802175 1027773419255895 1128043996744275 1185892406833725 1227870899111025 1712955698759825 1849992154660611 2134606332300705 2617913426406525 3083320257767685 3384131990232825 3557677220501175 5138867096279475 5549976463981833 9249960773303055 10673031661503525 15416601288838425 27749882319909165 46249803866515275 138749411599545825
- Sum of all divisors σ(n): 291635165421673920
- Sum of proper divisors (its aliquot sum) s(n): 152885753822128095
- 138749411599545825 is an abundant number, because the sum of its proper divisors (152885753822128095) is greater than itself. Its abundance is 14136342222582270
Bases of 138749411599545825
- Binary: 1111011001110111111011010110011110010111101110101111000012
- Hexadecimal: 0x1ECEFDACF2F75E1
- Base-36: 11Y6K7QMQ129
Squares and roots of 138749411599545825
- 138749411599545825 squared (1387494115995458252) is 19251399219220181531973346274930625
- 138749411599545825 cubed (1387494115995458253) is 2671120314134756094166099056582392055025833383390625
-
The
square root of 138749411599545825 is 372490820.8258907219 -
The
cube root of 138749411599545825 is 517698.6709164091
Scales and comparisons
How big is 138749411599545825?- 138,749,411,599,545,825 seconds is equal to 4,411,802,108 years, 39 weeks, 2 days, 8 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,749,411,599,545,825 would take you about thirteen billion, two hundred thirty-five million, four hundred six thousand, three hundred twenty-six 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 138749411599545825 cubic inches would be around 43141.6 feet tall.
Recreational maths with 138749411599545825
- 138749411599545825 backwards is 528545995114947831
- The number of decimal digits it has is: 18
- The sum of 138749411599545825's digits is 90
- More coming soon!
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The information we have on file for 138749411599545825 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 138749411599545825, math, Factors of 138749411599545825, curriculum, school, college, exams, university, Prime factorization of 138749411599545825, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred forty-nine trillion, four hundred eleven billion, five hundred ninety-nine million, five hundred forty-five thousand, eight hundred twenty-five.