138669666937500501913968
138,669,666,937,500,501,913,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 138669666937500501913968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 560 divisors.
138669666937500501913968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 138669666937500501913968:
24 × 36 × 11 × 13 × 1903061 × 43686295069
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 1903061 × 43686295069)See below for interesting mathematical facts about the number 138669666937500501913968 from the Numbermatics database.
Names of 138669666937500501913968
- Cardinal: 138669666937500501913968 can be written as One hundred thirty-eight sextillion, six hundred sixty-nine quintillion, six hundred sixty-six quadrillion, nine hundred thirty-seven trillion, five hundred billion, five hundred one million, nine hundred thirteen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38669666937500501913968 × 1023
Factors of 138669666937500501913968
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 43688198159
Divisors of 138669666937500501913968
- Number of divisors d(n): 560
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 81 88 99 104 108 117 132 143 144 156 162 176 198 208 216 234 243 264 286 297 312 324 351 396 429 432 468 486 528 572 594 624 648 702 729 792 858 891 936 972 1053 1144 1188 1287 1296 1404 1458 1584 1716 1782 1872 1944 2106 2288 2376 2574 2673 2808 2916 3159 3432 3564 3861 3888 4212 4752 5148 5346 5616 5832 6318 6864 7128 7722 8019 8424 9477 10296 10692 11583 11664 12636 14256 15444 16038 16848 18954 20592 21384 23166 25272 30888 32076 34749 37908 42768 46332 50544 61776 64152 69498 75816 92664 104247 128304 138996 151632 185328 208494 277992 416988 555984 833976 1667952 1903061 3806122 5709183 7612244 11418366 15224488 17127549 20933671 22836732 24739793 30448976 34255098 41867342 45673464 49479586 51382647 62801013 68510196 74219379 83734684 91346928 98959172 102765294 125602026 137020392 148438758 154147941 167469368 188403039 197918344 205530588 222658137 251204052 272137723 274040784 296877516 308295882 334938736 376806078 395836688 411061176 445316274 462443823 502408104 544275446 565209117 593755032 616591764 667974411 753612156 816413169 822122352 890632548 924887646 1004816208 1088550892 1130418234 1187510064 1233183528 1335948822 1387331469 1507224312 1632826338 1695627351 1781265096 1849775292 2003923233 2177101784 2260836468 2449239507 2466367056 2671897644 2774662938 3014448624 3265652676 3391254702 3562530192 3699550584 4007846466 4354203568 4521672936 4898479014 5086882053 5343795288 5549325876 6011769699 6531305352 6782509404 7347718521 7399101168 8015692932 9043345872 9796958028 10173764106 10687590576 11098651752 12023539398 13062610704 13565018808 14695437042 15260646159 16031385864 18035309097 19593916056 20347528212 22043155563 22197303504 24047078796 27130037616 29390874084 30521292318 32062771728 36070618194 39187832112 40695056424 43686295069 44086311126 48094157592 58781748168 61042584636 66129466689 72141236388 81390112848 87372590138 88172622252 96188315184 117563496336 122085169272 131058885207 132258933378 144282472776 174745180276 176345244504 198388400067 244170338544 262117770414 264517866756 288564945552 349490360552 352690489008 393176655621 396776800134 480549245759 524235540828 529035733512 567921835897 698980721104 786353311242 793553600268 961098491518 1048471081656 1058071467024 1135843671794 1179529966863 1441647737277 1572706622484 1587107200536 1703765507691 1922196983036 2096942163312 2271687343588 2359059933726 2883295474554 3145413244968 3174214401072 3407531015382 3538589900589 3844393966072 4324943211831 4543374687176 4718119867452 5111296523073 5766590949108 6247140194867 6290826489936 6815062030764 7077179801178 7688787932144 8649886423662 9086749374352 9436239734904 10222593046146 10615769701767 11533181898216 12494280389734 12974829635493 13630124061528 14154359602356 15333889569219 17299772847324 18741420584601 18872479469808 20445186092292 21231539403534 23066363796432 24988560779468 25949659270986 27260248123056 28308719204712 30667779138438 31847309105301 34599545694648 37482841169202 38924488906479 40890372184584 42463078807068 46001668707657 49977121558936 51899318541972 56224261753803 56617438409424 61335558276876 63694618210602 69199091389296 74965682338404 77848977812958 81780744369168 84926157614136 92003337415314 99954243117872 103798637083944 112448523507606 116773466719437 122671116553752 127389236421204 138005006122971 149931364676808 155697955625916 168672785261409 169852315228272 184006674830628 207597274167888 224897047015212 233546933438874 245342233107504 254778472842408 276010012245942 299862729353616 311395911251832 337345570522818 350320400158311 368013349661256 414015018368913 449794094030424 467093866877748 506018355784227 509556945684816 552020024491884 622791822503664 674691141045636 700640800316622 736026699322512 828030036737826 899588188060848 934187733755496 1012036711568454 1104040048983768 1349382282091272 1401281600633244 1518055067352681 1656060073475652 1868375467510992 2024073423136908 2208080097967536 2698764564182544 2802563201266488 3036110134705362 3312120146951304 4048146846273816 4554165202058043 5605126402532976 6072220269410724 6624240293902608 8096293692547632 9108330404116086 12144440538821448 18216660808232172 24288881077642896 36433321616464344 72866643232928688 83137684380306209 166275368760612418 249413053140918627 332550737521224836 498826106281837254 665101475042449672 748239159422755881 914514528183368299 997652212563674508 1080789896943980717 1330202950084899344 1496478318845511762 1829029056366736598 1995304425127349016 2161579793887961434 2244717478268267643 2743543584550104897 2992956637691023524 3242369690831942151 3658058112733473196 3990608850254698032 4323159587775922868 4489434956536535286 5487087169100209794 5985913275382047048 6484739381663884302 6734152434804802929 7316116225466946392 8230630753650314691 8646319175551845736 8978869913073070572 9727109072495826453 10974174338200419588 11888688866383787887 11971826550764094096 12969478763327768604 13468304869609605858 14632232450933892784 16461261507300629382 17292638351103691472 17957739826146141144 19454218144991652906 20202457304414408787 21948348676400839176 23777377732767575774 24691892260950944073 25938957526655537208 26936609739219211716 29181327217487479359 32922523014601258764 35666066599151363661 35915479652292282288 38908436289983305812 40404914608828817574 43896697352801678352 47554755465535151548 49383784521901888146 51877915053311074416 53873219478438423432 58362654434974958718 60607371913243226361 65845046029202517528 71332133198302727322 74075676782852832219 77816872579966611624 80809829217657635148 87543981652462438077 95109510931070303096 98767569043803776292 106998199797454090983 107746438956876846864 116725308869949917436 121214743826486452722 131690092058405035056 142664266396605454644 148151353565705664438 155633745159933223248 161619658435315270296 175087963304924876154 190219021862140606192 197535138087607552584 213996399594908181966 222227030348558496657 233450617739899834872 242429487652972905444 262631944957387314231 285328532793210909288 296302707131411328876 320994599392362272949 323239316870630540592 350175926609849752308 395070276175215105168 427992799189816363932 444454060697116993314 466901235479799669744 484858975305945810888 525263889914774628462 570657065586421818576 592605414262822657752 641989198784724545898 666681091045675489971 700351853219699504616 787895834872161942693 855985598379632727864 888908121394233986628 962983798177086818847 969717950611891621776 1050527779829549256924 1185210828525645315504 1283978397569449091796 1333362182091350979942 1400703706439399009232 1575791669744323885386 1711971196759265455728 1777816242788467973256 1925967596354173637694 2101055559659098513848 2567956795138898183592 2666724364182701959884 2888951394531260456541 3151583339488647770772 3555632485576935946512 3851935192708347275388 4202111119318197027696 5135913590277796367184 5333448728365403919768 5777902789062520913082 6303166678977295541544 7703870385416694550776 8666854183593781369623 10666897456730807839536 11555805578125041826164 12606333357954591083088 15407740770833389101552 17333708367187562739246 23111611156250083652328 34667416734375125478492 46223222312500167304656 69334833468750250956984 138669666937500501913968
- Sum of all divisors σ(n): 473248547544382268772960
- Sum of proper divisors (its aliquot sum) s(n): 334578880606881766858992
- 138669666937500501913968 is an abundant number, because the sum of its proper divisors (334578880606881766858992) is greater than itself. Its abundance is 195909213669381264945024
Bases of 138669666937500501913968
- Binary: 111010101110101001100001101101001000001000101111101110110000110110001011100002
- Hexadecimal: 0x1D5D4C369045F761B170
- Base-36: MKX74AS4OMVVR00
Squares and roots of 138669666937500501913968
- 138669666937500501913968 squared (1386696669375005019139682) is 19229276528557319829391797678317917631273505024
- 138669666937500501913968 cubed (1386696669375005019139683) is 2666517371664139399561909124716442418287455253379916753645799863775232
-
The
square root of 138669666937500501913968 is 372383762988.5337816323 -
The
cube root of 138669666937500501913968 is 51759947.1415383357
Scales and comparisons
How big is 138669666937500501913968?- 138,669,666,937,500,501,913,968 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,669,666,937,500,501,913,968 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138669666937500501913968 cubic inches would be around 4313328.9 feet tall.
Recreational maths with 138669666937500501913968
- 138669666937500501913968 backwards is 869319105005739666966831
- 138669666937500501913968 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 138669666937500501913968's digits is 117
- More coming soon!
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The information we have on file for 138669666937500501913968 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 138669666937500501913968, math, Factors of 138669666937500501913968, curriculum, school, college, exams, university, Prime factorization of 138669666937500501913968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, six hundred sixty-nine quintillion, six hundred sixty-six quadrillion, nine hundred thirty-seven trillion, five hundred billion, five hundred one million, nine hundred thirteen thousand, nine hundred sixty-eight.