138123902785536
138,123,902,785,536 is an even composite number composed of five prime numbers multiplied together.
What does the number 138123902785536 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138123902785536 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138123902785536:
211 × 33 × 232 × 412 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 23 × 41 × 41 × 53 × 53)See below for interesting mathematical facts about the number 138123902785536 from the Numbermatics database.
Names of 138123902785536
- Cardinal: 138123902785536 can be written as One hundred thirty-eight trillion, one hundred twenty-three billion, nine hundred two million, seven hundred eighty-five thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 1.38123902785536 × 1014
Factors of 138123902785536
Divisors of 138123902785536
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 41 46 48 53 54 64 69 72 82 92 96 106 108 123 128 138 144 159 164 184 192 207 212 216 246 256 276 288 318 328 368 369 384 414 424 432 477 492 512 529 552 576 621 636 656 736 738 768 828 848 864 943 954 984 1024 1058 1104 1107 1152 1219 1242 1272 1312 1431 1472 1476 1536 1587 1656 1681 1696 1728 1886 1908 1968 2048 2116 2173 2208 2214 2304 2438 2484 2544 2624 2809 2829 2862 2944 2952 3072 3174 3312 3362 3392 3456 3657 3772 3816 3936 4232 4346 4416 4428 4608 4761 4876 4968 5043 5088 5248 5618 5658 5724 5888 5904 6144 6348 6519 6624 6724 6784 6912 7314 7544 7632 7872 8427 8464 8487 8692 8832 8856 9216 9522 9752 9936 10086 10176 10496 10971 11236 11316 11448 11776 11808 12696 13038 13248 13448 13568 13824 14283 14628 15088 15129 15264 15744 16854 16928 16974 17384 17664 17712 18432 19044 19504 19557 19872 20172 20352 20992 21689 21942 22472 22632 22896 23552 23616 25281 25392 25461 26076 26496 26896 27136 27648 28037 28566 29256 30176 30258 30528 31488 32913 33708 33856 33948 34768 35328 35424 38088 38663 39008 39114 39744 40344 40704 41984 43378 43884 44944 45264 45387 45792 47104 47232 49979 50562 50784 50922 52152 52992 53792 54272 55296 56074 57132 58512 58671 60352 60516 61056 62976 64607 65067 65826 67416 67712 67896 69536 70656 70848 75843 76176 77326 78016 78228 79488 80688 81408 83968 84111 86756 87768 89093 89888 90528 90774 91584 94464 99958 101124 101568 101844 104304 105984 107584 108544 112148 114264 115169 115989 117024 117342 120704 121032 122112 125952 129214 130134 131652 134832 135424 135792 139072 141312 141696 149937 151686 152352 154652 156032 156456 158976 161376 162816 168222 173512 175536 178186 179776 181056 181548 183168 188928 193821 195201 199916 202248 203136 203688 208608 211968 215168 224296 228528 230338 231978 234048 234684 241408 242064 244224 251904 252333 258428 260268 263304 267279 269664 270848 271584 278144 283392 299874 303372 304704 309304 312064 312912 317952 322752 325632 336444 345507 347024 347967 351072 356372 359552 362112 363096 366336 377856 387642 390402 399832 404496 406272 407376 417216 423936 430336 448592 449811 457056 460676 463956 468096 469368 482816 484128 488448 504666 516856 520536 526608 534558 539328 541696 543168 556288 566784 581463 585603 599748 606744 609408 618608 624128 625824 635904 645504 672888 691014 694048 695934 702144 712744 719104 724224 726192 732672 755712 756999 775284 780804 799664 801837 808992 812544 814752 834432 860672 889249 897184 899622 914112 921352 927912 936192 938736 965632 968256 976896 1009332 1033712 1036521 1041072 1043901 1053216 1069116 1078656 1083392 1086336 1112576 1133568 1149517 1162926 1171206 1199496 1213488 1218816 1237216 1248256 1251648 1271808 1291008 1345776 1349433 1382028 1388096 1391868 1404288 1425488 1438208 1448448 1452384 1465344 1485961 1513998 1550568 1561608 1599328 1603674 1617984 1625088 1629504 1668864 1721344 1744389 1778498 1794368 1799244 1828224 1842704 1855824 1872384 1877472 1931264 1936512 2018664 2049139 2067424 2073042 2082144 2087802 2106432 2138232 2157312 2172672 2225152 2267136 2299034 2325852 2342412 2398992 2405511 2426976 2437632 2474432 2496512 2503296 2582016 2648887 2667747 2691552 2698866 2764056 2776192 2783736 2808576 2850976 2876416 2896896 2904768 2930688 2971922 3027996 3101136 3109563 3123216 3198656 3207348 3235968 3250176 3259008 3337728 3442688 3448551 3488778 3556996 3588736 3598488 3656448 3685408 3711648 3744768 3754944 3873024 4037328 4098278 4134848 4146084 4164288 4175604 4212864 4276464 4314624 4345344 4450304 4457883 4598068 4651704 4684824 4721929 4797984 4811022 4853952 4875264 4948864 5006592 5164032 5297774 5335494 5383104 5397732 5528112 5552384 5567472 5617152 5701952 5752832 5793792 5809536 5943844 6055992 6147417 6202272 6219126 6246432 6397312 6414696 6471936 6518016 6675456 6897102 6977556 7113992 7177472 7196976 7312896 7370816 7423296 7489536 7509888 7746048 7946661 8003241 8074656 8196556 8269696 8292168 8328576 8351208 8425728 8552928 8629248 8690688 8915766 9196136 9303408 9369648 9443858 9595968 9622044 9707904 9750528 9897728 10013184 10328064 10345653 10595548 10670988 10766208 10795464 11056224 11104768 11134944 11234304 11403904 11619072 11887688 12111984 12294834 12404544 12438252 12492864 12794624 12829392 12943872 13036032 13350912 13373649 13794204 13955112 14165787 14227984 14354944 14393952 14625792 14741632 14846592 15019776 15492096 15893322 16006482 16149312 16393112 16539392 16584336 16657152 16702416 16851456 17105856 17258496 17381376 17831532 18392272 18442251 18606816 18739296 18887716 19191936 19244088 19415808 19795456 20026368 20691306 21191096 21341976 21532416 21590928 22112448 22209536 22269888 22468608 22807808 23238144 23775376 23839983 24009723 24223968 24589668 24809088 24876504 24985728 25589248 25658784 25887744 26072064 26747298 27588408 27910224 28331574 28455968 28709888 28787904 29251584 29483264 29693184 30039552 30984192 31036959 31786644 32012964 32298624 32786224 33078784 33168672 33314304 33404832 33702912 34211712 35663064 36784544 36884502 37213632 37478592 37775432 38383872 38488176 38831616 39590912 40052736 40120947 41382612 42382192 42497361 42683952 43064832 43181856 44224896 44419072 44539776 45615616 46476288 47130197 47550752 47679966 48019446 48447936 49179336 49618176 49753008 49971456 51178496 51317568 51775488 52144128 53494596 55176816 55326753 55820448 56663148 56911936 57419776 57575808 58966528 59386368 60079104 60924401 62073918 63573288 64025928 64597248 65572448 66157568 66337344 66628608 66809664 67405824 68423424 71326128 71519949 73569088 73769004 74427264 74957184 75550864 76767744 76976352 77663232 79181824 80241894 82765224 84764384 84994722 85367904 86129664 86363712 88449792 89079552 91231232 92952576 94260394 95101504 95359932 96038892 96895872 98358672 99236352 99506016 99942912 102356992 102635136 106989192 108604367 110353632 110653506 111640896 113326296 113823872 115151616 117933056 118772736 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446563584 453305184 455295488 460606464 487395208 496591344 508586304 509968332 512207424 516777984 524579584 530698752 534477312 547387392 548319609 565562364 570609024 572159592 588552704 590152032 595418112 599657472 604406912 615810816 641935152 651626202 662121792 678115072 679957776 682943232 690909696 707598336 712636416 731092812 754083152 760812032 762879456 768311136 775166976 786869376 796048128 821081088 848343546 855913536 868834936 882829056 885228048 893127168 906610368 910590976 921212928 974790416 977439303 993182688 1017172608 1019936664 1024414848 1049159168 1061397504 1068954624 1096639218 1131124728 1141218048 1144319184 1177105408 1180304064 1190836224 1199314944 1208813824 1231621632 1272515319 1283870304 1303252404 1324243584 1356230144 1359915552 1365886464 1381819392 1462185624 1508166304 1521624064 1525758912 1536622272 1550333952 1573738752 1592096256 1642162176 1644958827 1696687092 1711827072 1737669872 1765658112 1770456096 1786254336 1813220736 1821181952 1949580832 1954878606 1986365376 2034345216 2039873328 2048829696 2098318336 2122795008 2137909248 2193278436 2262249456 2282436096 2288638368 2354210816 2360608128 2417627648 2463243264 2497900441 2545030638 2567740608 2606504808 2648487168 2712460288 2719831104 2731772928 2763638784 2924371248 2932317909 3016332608 3043248128 3051517824 3073244544 3147477504 3184192512 3289917654 3393374184 3423654144 3475339744 3531316224 3540912192 3572508672 3626441472 3899161664 3909757212 3972730752 4068690432 4079746656 4097659392 4196636672 4386556872 4524498912 4564872192 4577276736 4721216256 4835255296 4926486528 4995800882 5090061276 5135481216 5213009616 5296974336 5424920576 5439662208 5463545856 5848742496 5864635818 6032665216 6103035648 6146489088 6294955008 6368385024 6579835308 6786748368 6847308288 6950679488 7062632448 7081824384 7252882944 7493701323 7798323328 7819514424 7945461504 8137380864 8159493312 8195318784 8773113744 9048997824 9129744384 9154553472 9442432512 9670510592 9991601764 10180122552 10270962432 10426019232 10593948672 10879324416 11697484992 11729271636 12065330432 12206071296 12292978176 12589910016 13159670616 13573496736 13694616576 13901358976 14163648768 14505765888 14987402646 15596646656 15639028848 15890923008 16274761728 16318986624 16390637568 17546227488 18097995648 18309106944 18884865024 19983203528 20360245104 20541924864 20852038464 21187897344 21758648832 22481103969 23394969984 23458543272 24130660864 24412142592 24585956352 26319341232 27146993472 27389233152 27802717952 28327297536 29011531776 29974805292 31193293312 31278057696 31781846016 32637973248 35092454976 36195991296 36618213888 37769730048 39966407056 40720490208 41083849728 41704076928 43517297664 44962207938 46789939968 46917086544 48261321728 48824285184 49171912704 52638682464 54293986944 55605435904 56654595072 59949610584 62386586624 62556115392 63563692032 65275946496 67443311907 70184909952 72391982592 73236427776 79932814112 81440980416 82167699456 83408153856 87034595328 89924415876 93579879936 93834173088 96522643456 105277364928 108587973888 111210871808 113309190144 119899221168 124773173248 125112230784 130551892992 134886623814 140369819904 144783965184 146472855552 159865628224 162881960832 166816307712 179848831752 187159759872 187668346176 210554729856 217175947776 222421743616 239798442336 250224461568 261103785984 269773247628 280739639808 289567930368 319731256448 325763921664 333632615424 359697663504 374319519744 375336692352 421109459712 434351895552 479596884672 500448923136 539546495256 561479279616 639462512896 651527843328 667265230848 719395327008 750673384704 842218919424 868703791104 959193769344 1000897846272 1079092990512 1122958559232 1278925025792 1303055686656 1438790654016 1501346769408 1684437838848 1918387538688 2001795692544 2158185981024 2557850051584 2606111373312 2877581308032 3002693538816 3368875677696 3836775077376 4316371962048 5115700103168 5755162616064 6005387077632 7673550154752 8632743924096 11510325232128 15347100309504 17265487848192 23020650464256 34530975696384 46041300928512 69061951392768 138123902785536
- Sum of all divisors σ(n): 446833426548600
- Sum of proper divisors (its aliquot sum) s(n): 308709523763064
- 138123902785536 is an abundant number, because the sum of its proper divisors (308709523763064) is greater than itself. Its abundance is 170585620977528
Bases of 138123902785536
- Binary: 111110110011111011110100010100100011000000000002
- Hexadecimal: 0x7D9F7A291800
- Base-36: 1CYL8TGQO0
Squares and roots of 138123902785536
- 138123902785536 squared (1381239027855362) is 19078212520708199580010807296
- 138123902785536 cubed (1381239027855363) is 2635157171532095080052890171176958512070656
-
The
square root of 138123902785536 is 11752612.5940378039 -
The
cube root of 138123902785536 is 51691.9537460129
Scales and comparisons
How big is 138123902785536?- 138,123,902,785,536 seconds is equal to 4,391,912 years, 44 weeks, 6 days, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,123,902,785,536 would take you about ten million, nine hundred seventy-nine thousand, seven hundred eighty-two 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 138123902785536 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138123902785536
- 138123902785536 backwards is 635587209321831
- The number of decimal digits it has is: 15
- The sum of 138123902785536's digits is 63
- More coming soon!
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"Number 138123902785536 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138123902785536 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138123902785536/
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The information we have on file for 138123902785536 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 138123902785536, math, Factors of 138123902785536, curriculum, school, college, exams, university, Prime factorization of 138123902785536, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twenty-three billion, nine hundred two million, seven hundred eighty-five thousand, five hundred thirty-six.