138217268745644130055884816
138,217,268,745,644,130,055,884,816 is an even composite number composed of five prime numbers multiplied together.
138217268745644130055884816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred five divisors.
Prime factorization of 138217268745644130055884816:
24 × 32 × 112 × 292 × 30712079572
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 29 × 29 × 3071207957 × 3071207957)See below for interesting mathematical facts about the number 138217268745644130055884816 from the Numbermatics database.
Names of 138217268745644130055884816
- Cardinal: 138217268745644130055884816 can be written as One hundred thirty-eight septillion, two hundred seventeen sextillion, two hundred sixty-eight quintillion, seven hundred forty-five quadrillion, six hundred forty-four trillion, one hundred thirty billion, fifty-five million, eight hundred eighty-four thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38217268745644130055884816 × 1026
Factors of 138217268745644130055884816
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 3071208002
Divisors of 138217268745644130055884816
- Number of divisors d(n): 405
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 121 132 144 174 176 198 232 242 261 264 319 348 363 396 464 484 522 528 638 696 726 792 841 957 968 1044 1089 1276 1392 1452 1584 1682 1914 1936 2088 2178 2523 2552 2871 2904 3364 3509 3828 4176 4356 5046 5104 5742 5808 6728 7018 7569 7656 8712 9251 10092 10527 11484 13456 14036 15138 15312 17424 18502 20184 21054 22968 27753 28072 30276 31581 37004 40368 42108 45936 55506 56144 60552 63162 74008 83259 84216 101761 111012 121104 126324 148016 166518 168432 203522 222024 252648 305283 333036 407044 444048 505296 610566 666072 814088 915849 1221132 1332144 1628176 1831698 2442264 3663396 4884528 7326792 14653584 3071207957 6142415914 9213623871 12284831828 18427247742 24569663656 27640871613 33783287527 36854495484 49139327312 55281743226 67566575054 73708990968 89065030753 101349862581 110563486452 135133150108 147417981936 178130061506 202699725162 221126972904 267195092259 270266300216 304049587743 356260123012 371616162797 405399450324 442253945808 534390184518 540532600432 608099175486 712520246024 743232325594 801585276777 810798900648 979715338283 1068780369036 1114848488391 1216198350972 1425040492048 1486464651188 1603170553554 1621597801296 1959430676566 2137560738072 2229696976782 2432396701944 2582885891837 2939146014849 2972929302376 3206341107108 3344545465173 3918861353132 4275121476144 4459393953564 4864793403888 5165771783674 5878292029698 5945858604752 6412682214216 6689090930346 7748657675511 7837722706264 8817438044547 8918787907128 10331543567348 10776868721113 11756584059396 12825364428432 13378181860692 15497315351022 15675445412528 17634876089094 17837575814256 20663087134696 21553737442226 23245973026533 23513168118792 26756363721384 28411744810207 30994630702044 32330606163339 35269752178188 41326174269392 43107474884452 46491946053066 47026336237584 53512727442768 56823489620414 61989261404088 64661212326678 70539504356376 85235234430621 86214949768904 92983892106132 96991818490017 113646979240828 123978522808176 129322424653356 141079008712752 170470468861242 172429899537808 185967784212264 193983636980034 227293958481656 255705703291863 258644849306712 312529192912277 340940937722484 371935568424528 387967273960068 454587916963312 511411406583726 517289698613424 625058385824554 681881875444968 775934547920136 937587578736831 1022822813167452 1250116771649108 1363763750889936 1551869095840272 1875175157473662 2045645626334904 2500233543298216 2812762736210493 3750350314947324 4091291252669808 5000467086596432 5625525472420986 7500700629894648 11251050944841972 15001401259789296 22502101889683944 45004203779367888 9432318315140113849 18864636630280227698 28296954945420341547 37729273260560455396 56593909890840683094 75458546521120910792 84890864836261024641 103755501466541252339 113187819781681366188 150917093042241821584 169781729672522049282 207511002933082504678 226375639563362732376 273537231139063301621 311266504399623757017 339563459345044098564 415022005866165009356 452751279126725464752 547074462278126603242 622533008799247514034 679126918690088197128 820611693417189904863 830044011732330018712 933799513198871271051 1094148924556253206484 1141310516131953775729 1245066017598495028068 1358253837380176394256 1641223386834379809726 1660088023464660037424 1867599026397742542102 2188297849112506412968 2282621032263907551458 2461835080251569714589 2490132035196990056136 3008909542529696317831 3282446773668759619452 3423931548395861327187 3735198052795485084204 4376595698225012825936 4565242064527815102916 4923670160503139429178 4980264070393980112272 6017819085059392635662 6564893547337519238904 6847863096791722654374 7470396105590970168408 7932579703032835747009 9026728627589088953493 9130484129055630205832 9847340321006278858356 10271794645187583981561 12035638170118785271324 13129787094675038477808 13695726193583445308748 14940792211181940336816 15865159406065671494018 18053457255178177906986 18260968258111260411664 19694680642012557716712 20543589290375167963122 23797739109098507241027 24071276340237570542648 27080185882767266860479 27391452387166890617496 31730318812131342988036 33098004967826659496141 36106914510356355813972 39389361284025115433424 41087178580750335926244 47595478218197014482054 48142552680475141085296 54160371765534533720958 54782904774333781234992 63460637624262685976072 66196009935653318992282 71393217327295521723081 72213829020712711627944 82174357161500671852488 87258376733361193217099 95190956436394028964108 99294014903479978488423 108320743531069067441916 126921275248525371952144 132392019871306637984564 142786434654591043446162 144427658041425423255888 164348714323001343704976 174516753466722386434198 190381912872788057928216 198588029806959956976846 216641487062138134883832 261775130200083579651297 264784039742613275969128 285572869309182086892324 297882044710439935465269 349033506933444772868396 380763825745576115856432 397176059613919913953692 433282974124276269767664 523550260400167159302594 529568079485226551938256 571145738618364173784648 595764089420879870930538 698067013866889545736792 785325390600250738953891 794352119227839827907384 959842144066973125388089 1047100520800334318605188 1142291477236728347569296 1191528178841759741861076 1396134027733779091473584 1570650781200501477907782 1588704238455679655814768 1919684288133946250776178 2094201041600668637210376 2383056357683519483722152 2879526432200919376164267 3141301562401002955815564 3839368576267892501552356 4188402083201337274420752 4766112715367038967444304 5759052864401838752328534 6282603124802005911631128 7678737152535785003104712 8638579296602758128492801 11518105728803677504657068 12565206249604011823262256 15357474305071570006209424 17277158593205516256985602 23036211457607355009314136 34554317186411032513971204 46072422915214710018628272 69108634372822065027942408 138217268745644130055884816
- Sum of all divisors σ(n): 440345224527431323291585303
- Sum of proper divisors (its aliquot sum) s(n): 302127955781787193235700487
- 138217268745644130055884816 is an abundant number, because the sum of its proper divisors (302127955781787193235700487) is greater than itself. Its abundance is 163910687036143063179815671
Bases of 138217268745644130055884816
- Binary: 1110010010101001010010100100111000001110001100001001000011110010010011000010000000100002
- Hexadecimal: 0x7254A52707184879261010
- Base-36: HD7I2I232GQ0WY5G0
Squares and roots of 138217268745644130055884816
- 138217268745644130055884816 squared (1382172687456441300558848162) is 19104013379505613669107341867202646016183272659353856
- 138217268745644130055884816 cubed (1382172687456441300558848163) is 2640504551395508548944920198619629728775976941207643191549635534111100921450496
-
138217268745644130055884816 is a
perfect square number . Itssquare root is 11756584059396 -
The
cube root of 138217268745644130055884816 is 517035983.1959385341
Scales and comparisons
How big is 138217268745644130055884816?- 138,217,268,745,644,130,055,884,816 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,217,268,745,644,130,055,884,816 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 138217268745644130055884816 cubic inches would be around 43086331.9 feet tall.
Recreational maths with 138217268745644130055884816
- 138217268745644130055884816 backwards is 618488550031446547862712831
- The number of decimal digits it has is: 27
- The sum of 138217268745644130055884816's digits is 117
- More coming soon!
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The information we have on file for 138217268745644130055884816 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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