138425659439735808
138,425,659,439,735,808 is an even composite number composed of five prime numbers multiplied together.
138425659439735808 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred ninety divisors.
Prime factorization of 138425659439735808:
210 × 32 × 74 × 17 × 191832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 17 × 19183 × 19183)See below for interesting mathematical facts about the number 138425659439735808 from the Numbermatics database.
Names of 138425659439735808
- Cardinal: 138425659439735808 can be written as One hundred thirty-eight quadrillion, four hundred twenty-five trillion, six hundred fifty-nine billion, four hundred thirty-nine million, seven hundred thirty-five thousand, eight hundred eight.
Scientific notation
- Scientific notation: 1.38425659439735808 × 1017
Factors of 138425659439735808
Divisors of 138425659439735808
- Number of divisors d(n): 990
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 49 51 56 63 64 68 72 84 96 98 102 112 119 126 128 136 144 147 153 168 192 196 204 224 238 252 256 272 288 294 306 336 343 357 384 392 408 441 448 476 504 512 544 576 588 612 672 686 714 768 784 816 833 882 896 952 1008 1024 1029 1071 1088 1152 1176 1224 1344 1372 1428 1536 1568 1632 1666 1764 1792 1904 2016 2058 2142 2176 2304 2352 2401 2448 2499 2688 2744 2856 3072 3087 3136 3264 3332 3528 3584 3808 4032 4116 4284 4352 4608 4704 4802 4896 4998 5376 5488 5712 5831 6174 6272 6528 6664 7056 7168 7203 7497 7616 8064 8232 8568 8704 9216 9408 9604 9792 9996 10752 10976 11424 11662 12348 12544 13056 13328 14112 14406 14994 15232 16128 16464 17136 17408 17493 18816 19183 19208 19584 19992 21504 21609 21952 22848 23324 24696 25088 26112 26656 28224 28812 29988 30464 32256 32928 34272 34986 37632 38366 38416 39168 39984 40817 43218 43904 45696 46648 49392 50176 52224 52479 53312 56448 57549 57624 59976 60928 64512 65856 68544 69972 75264 76732 76832 78336 79968 81634 86436 87808 91392 93296 98784 104958 106624 112896 115098 115248 119952 121856 122451 131712 134281 137088 139944 150528 153464 153664 156672 159936 163268 172647 172872 175616 182784 186592 197568 209916 213248 225792 230196 230496 239904 244902 263424 268562 274176 279888 306928 307328 319872 326111 326536 345294 345744 351232 365568 367353 373184 395136 402843 419832 426496 451584 460392 460992 479808 489804 526848 537124 548352 559776 613856 614656 639744 652222 653072 690588 691488 734706 746368 790272 805686 839664 852992 920784 921984 939967 959616 978333 979608 1053696 1074248 1096704 1119552 1208529 1227712 1229312 1279488 1304444 1306144 1381176 1382976 1469412 1492736 1580544 1611372 1679328 1841568 1843968 1879934 1919232 1956666 1959216 2148496 2239104 2282777 2417058 2455424 2458624 2558976 2608888 2612288 2762352 2765952 2819901 2934999 2938824 2985472 3161088 3222744 3358656 3683136 3687936 3759868 3838464 3913332 3918432 4296992 4478208 4565554 4834116 4910848 5217776 5224576 5524704 5531904 5639802 5869998 5877648 5970944 6445488 6579769 6717312 6848331 7366272 7375872 7519736 7676928 7826664 7836864 8459703 8593984 8956416 9131108 9668232 9821696 10435552 10449152 11049408 11063808 11279604 11739996 11755296 12890976 13159538 13434624 13696662 14732544 15039472 15653328 15673728 15979439 16919406 17187968 17912832 18262216 19336464 19643392 19739307 20544993 20871104 20898304 22098816 22127616 22559208 23479992 23510592 25781952 26319076 26869248 27393324 29465088 30078944 31306656 31347456 31958878 33838812 34375936 36524432 38672928 39478614 41089986 41742208 41796608 44197632 45118416 46058383 46959984 47021184 47938317 51563904 52638152 53738496 54786648 58930176 59217921 60157888 62613312 62694912 63917756 67677624 68751872 73048864 77345856 78957228 82179972 83484416 88395264 90236832 92116766 93919968 94042368 95876634 103127808 105276304 109573296 111856073 118435842 120315776 125226624 125389824 127835512 135355248 137503744 138175149 143814951 146097728 154691712 157914456 164359944 166968832 176790528 180473664 184233532 187839936 188084736 191753268 206255616 210552608 219146592 223712146 236871684 240631552 250453248 255671024 270710496 276350298 287629902 292195456 309383424 315828912 328719888 333937664 335568219 360947328 367987489 368467064 375679872 376169472 383506536 412511232 414525447 421105216 438293184 447424292 473743368 481263104 500906496 511342048 541420992 552700596 575259804 584390912 618766848 631657824 657439776 671136438 721894656 735974978 736934128 751359744 767013072 782992511 829050894 842210432 876586368 894848584 947486736 962526208 1001812992 1006704657 1022684096 1082841984 1103962467 1105401192 1150519608 1168781824 1237533696 1263315648 1314879552 1342272876 1443789312 1471949956 1473868256 1502719488 1534026144 1565985022 1658101788 1684420864 1753172736 1789697168 1894973472 2013409314 2045368192 2165683968 2207924934 2210802384 2301039216 2337563648 2348977533 2526631296 2575912423 2629759104 2684545752 2887578624 2943899912 2947736512 3005438976 3068052288 3131970044 3311887401 3316203576 3368841728 3506345472 3579394336 3789946944 4026818628 4090736384 4331367936 4415849868 4421604768 4602078432 4697955066 5053262592 5151824846 5259518208 5369091504 5887799824 5895473024 6136104576 6255787313 6263940088 6623774802 6632407152 6737683456 7012690944 7046932599 7158788672 7579893888 7727737269 8053637256 8181472768 8662735872 8831699736 8843209536 9204156864 9395910132 10106525184 10303649692 10519036416 10738183008 11775599648 11790946048 12272209152 12511574626 12527880176 13247549604 13264814304 14093865198 14317577344 15159787776 15455474538 16107274512 16362945536 17663399472 17686419072 18031386961 18408313728 18767361939 18791820264 20213050368 20607299384 21038072832 21476366016 23183211807 23551199296 23581892096 24544418304 25023149252 25055760352 26495099208 26529628608 28187730396 28635154688 30319575552 30910949076 32214549024 35326798944 35372838144 36062773922 36816627456 37534723878 37583640528 41214598768 42952732032 43790511191 46366423614 47102398592 47163784192 49088836608 50046298504 50111520704 52990198416 53059257216 54094160883 56302085817 56375460792 57270309376 60639151104 61821898152 64429098048 70653597888 70745676288 72125547844 73633254912 75069447756 75167281056 82429197536 85905464064 87581022382 92732847228 94204797184 100092597008 100223041408 105980396832 106118514432 108188321766 112604171634 112750921584 114540618752 123643796304 126219708727 128858196096 131371533573 141307195776 141491352576 144251095688 147266509824 150138895512 150334562112 162282482649 164858395072 171810928128 175162044764 185465694456 188409594368 200185194016 200446082816 211960793664 212237028864 216376643532 225208343268 225501843168 247287592608 252439417454 257716392192 262743067146 282614391552 288502191376 300277791024 300669124224 306533578337 324564965298 329716790144 343621856256 350324089528 370931388912 376819188736 378659126181 394114600719 400370388032 400892165632 423921587328 424474057728 432753287064 450416686536 451003686336 494575185216 504878834908 515432784384 525486134292 565228783104 577004382752 600555582048 601338248448 613067156674 649129930596 659433580288 700648179056 741862777824 757318252362 788229201438 800740776064 801784331264 847843174656 865506574128 883537961089 900833373072 902007372672 919600735011 989150370432 1009757669816 1030865568768 1050972268584 1130457566208 1135977378543 1154008765504 1201111164096 1202676496896 1226134313348 1298259861192 1318867160576 1401296358112 1483725555648 1514636504724 1576458402876 1601481552128 1695686349312 1731013148256 1767075922178 1801666746144 1804014745344 1839201470022 1978300740864 2019515339632 2101944537168 2145735048359 2271954757086 2308017531008 2402222328192 2405352993792 2452268626696 2596519722384 2637734321152 2650613883267 2758802205033 2802592716224 2967451111296 3029273009448 3152916805752 3202963104256 3391372698624 3462026296512 3534151844356 3603333492288 3608029490688 3678402940044 3956601481728 4039030679264 4203889074336 4291470096718 4543909514172 4616035062016 4804444656384 4904537253392 5193039444768 5301227766534 5517604410066 5605185432448 5934902222592 6058546018896 6305833611504 6405926208512 6437205145077 6924052593024 7068303688712 7206666984576 7216058981376 7356805880088 7913202963456 7951841649801 8078061358528 8407778148672 8582940193436 9087819028344 9232070124032 9608889312768 9809074506784 10386078889536 10602455533068 11035208820132 11210370864896 11869804445184 12117092037792 12611667223008 12874410290154 13848105186048 14136607377424 14413333969152 14713611760176 15020145338513 15903683299602 16156122717056 16815556297344 17165880386872 18175638056688 18464140248064 19217778625536 19311615435231 19618149013568 20772157779072 21204911066136 22070417640264 22420741729792 23739608890368 24234184075584 25223334446016 25748820580308 27696210372096 28273214754848 28826667938304 29427223520352 30040290677026 31807366599204 32312245434112 33631112594688 34331760773744 36351276113376 38623230870462 39236298027136 41544315558144 42409822132272 44140835280528 44841483459584 45060436015539 48468368151168 50446668892032 51497641160616 55392420744192 56546429509696 57653335876608 58854447040704 60080581354052 63614733198408 64624490868224 67262225189376 68663521547488 72702552226752 77246461740924 78472596054272 83088631116288 84819644264544 88281670561056 90120872031078 96936736302336 100893337784064 102995282321232 113092859019392 117708894081408 120161162708104 127229466396816 129248981736448 134524450378752 135181308046617 137327043094976 145405104453504 154492923481848 156945192108544 166177262232576 169639288529088 176563341122112 180241744062156 193873472604672 201786675568128 205990564642464 226185718038784 235417788162816 240322325416208 254458932793632 270362616093234 274654086189952 290810208907008 308985846963696 313890384217088 339278577058176 353126682244224 360483488124312 387746945209344 403573351136256 411981129284928 452371436077568 470835576325632 480644650832416 508917865587264 540725232186468 549308172379904 581620417814016 617971693927392 678557154116352 706253364488448 720966976248624 823962258569856 904742872155136 941671152651264 961289301664832 1017835731174528 1081450464372936 1098616344759808 1163240835628032 1235943387854784 1357114308232704 1412506728976896 1441933952497248 1647924517139712 1922578603329664 2035671462349056 2162900928745872 2197232689519616 2471886775709568 2714228616465408 2825013457953792 2883867904994496 3295849034279424 3845157206659328 4071342924698112 4325801857491744 4943773551419136 5767735809988992 6591698068558848 7690314413318656 8142685849396224 8651603714983488 9887547102838272 11535471619977984 15380628826637312 17303207429966976 19775094205676544 23070943239955968 34606414859933952 46141886479911936 69212829719867904 138425659439735808
- Sum of all divisors σ(n): 493744763450584854
- Sum of proper divisors (its aliquot sum) s(n): 355319104010849046
- 138425659439735808 is an abundant number, because the sum of its proper divisors (355319104010849046) is greater than itself. Its abundance is 216893444571113238
Bases of 138425659439735808
- Binary: 1111010111100100101100111011000101011010001100100000000002
- Hexadecimal: 0x1EBC96762B46400
- Base-36: 11UZSU1TSZK0
Squares and roots of 138425659439735808
- 138425659439735808 squared (1384256594397358082) is 19161663191325719209962524837412864
- 138425659439735808 cubed (1384256594397358083) is 2652465863221375211349495593896736063377190380634112
-
The
square root of 138425659439735808 is 372055989.6571157313 -
The
cube root of 138425659439735808 is 517295.6984116313
Scales and comparisons
How big is 138425659439735808?- 138,425,659,439,735,808 seconds is equal to 4,401,507,791 years, 26 weeks, 2 days, 1 hour, 16 minutes, 48 seconds.
-
To count from 1 to 138,425,659,439,735,808 would take you about thirteen billion, two hundred four million, five hundred twenty-three thousand, three hundred seventy-four 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 138425659439735808 cubic inches would be around 43108 feet tall.
Recreational maths with 138425659439735808
- 138425659439735808 backwards is 808537934956524831
- The number of decimal digits it has is: 18
- The sum of 138425659439735808's digits is 90
- More coming soon!
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The information we have on file for 138425659439735808 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 138425659439735808, math, Factors of 138425659439735808, curriculum, school, college, exams, university, Prime factorization of 138425659439735808, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred twenty-five trillion, six hundred fifty-nine billion, four hundred thirty-nine million, seven hundred thirty-five thousand, eight hundred eight.