138401159960890368
138,401,159,960,890,368 is an even composite number composed of five prime numbers multiplied together.
What does the number 138401159960890368 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1188 divisors.
138401159960890368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred eighty-eight divisors.
Prime factorization of 138401159960890368:
210 × 33 × 232 × 892 × 10932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 23 × 89 × 89 × 1093 × 1093)See below for interesting mathematical facts about the number 138401159960890368 from the Numbermatics database.
Names of 138401159960890368
- Cardinal: 138401159960890368 can be written as One hundred thirty-eight quadrillion, four hundred one trillion, one hundred fifty-nine billion, nine hundred sixty million, eight hundred ninety thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38401159960890368 × 1017
Factors of 138401159960890368
Divisors of 138401159960890368
- Number of divisors d(n): 1188
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 89 92 96 108 128 138 144 178 184 192 207 216 256 267 276 288 356 368 384 414 432 512 529 534 552 576 621 712 736 768 801 828 864 1024 1058 1068 1093 1104 1152 1242 1424 1472 1536 1587 1602 1656 1728 2047 2116 2136 2186 2208 2304 2403 2484 2848 2944 3072 3174 3204 3279 3312 3456 4094 4232 4272 4372 4416 4608 4761 4806 4968 5696 5888 6141 6348 6408 6558 6624 6912 7921 8188 8464 8544 8744 8832 9216 9522 9612 9837 9936 11392 11776 12282 12696 12816 13116 13248 13824 14283 15842 16376 16928 17088 17488 17664 18423 19044 19224 19674 19872 22784 23552 23763 24564 25139 25392 25632 26232 26496 27648 28566 29511 31684 32752 33856 34176 34976 35328 36846 38088 38448 39348 39744 45568 47081 47526 49128 50278 50784 51264 52464 52992 55269 57132 59022 63368 65504 67712 68352 69952 70656 71289 73692 75417 76176 76896 78696 79488 91136 94162 95052 97277 98256 100556 101568 102528 104928 105984 110538 114264 118044 126736 131008 135424 136704 139904 141243 142578 147384 150834 152352 153792 157392 158976 182183 188324 190104 194554 196512 201112 203136 205056 209856 211968 213867 221076 226251 228528 236088 253472 262016 270848 273408 279808 282486 285156 291831 294768 301668 304704 307584 314784 317952 364366 376648 380208 389108 393024 402224 406272 410112 419712 423729 427734 442152 452502 457056 472176 506944 524032 541696 546549 559616 564972 570312 578197 583662 589536 603336 609408 615168 629568 635904 678753 728732 753296 760416 778216 786048 804448 812544 820224 839424 847458 855468 875493 884304 905004 914112 944352 1013888 1048064 1093098 1119232 1129944 1140624 1156394 1167324 1179072 1194649 1206672 1218816 1230336 1259136 1271187 1357506 1457464 1506592 1520832 1556432 1572096 1608896 1625088 1639647 1678848 1694916 1710936 1734591 1750986 1768608 1810008 1828224 1888704 2027776 2096128 2186196 2237371 2259888 2281248 2312788 2334648 2358144 2389298 2413344 2437632 2460672 2518272 2542374 2626479 2715012 2914928 3013184 3041664 3112864 3144192 3217792 3279294 3357696 3389832 3421872 3469182 3501972 3537216 3583947 3620016 3656448 3777408 4055552 4190209 4372392 4474742 4519776 4562496 4625576 4669296 4716288 4778596 4826688 4875264 4918941 5036544 5084748 5203773 5252958 5430024 5829856 6026368 6083328 6225728 6288384 6435584 6558588 6712113 6779664 6843744 6938364 7003944 7074432 7167894 7240032 7312896 7554816 8111104 8380418 8657653 8744784 8949484 9039552 9124992 9251152 9338592 9432576 9557192 9653376 9837882 10073088 10169496 10407546 10505916 10751841 10860048 11659712 12052736 12166656 12451456 12570627 12871168 13117176 13424226 13559328 13687488 13876728 14007888 14148864 14335788 14480064 14625792 15109632 15611319 16760836 17315306 17489568 17898968 18079104 18249984 18502304 18677184 18865152 19114384 19306752 19675764 20136339 20338992 20815092 21011832 21503682 21720096 23319424 24105472 24333312 24902912 25141254 25742336 25972959 26234352 26848452 27118656 27374976 27476927 27753456 28015776 28297728 28671576 28960128 30219264 31222638 32255523 33521672 34630612 34979136 35797936 36158208 36499968 37004608 37354368 37711881 38228768 38613504 39351528 40272678 40677984 41630184 42023664 43007364 43440192 46638848 48210944 49805824 50282508 51459533 51945918 52468704 53696904 54237312 54749952 54953854 55506912 56031552 56595456 57343152 57920256 60409017 62445276 64511046 67043344 69261224 69958272 71595872 72316416 72999936 74009216 74708736 75423762 76457536 77227008 77918877 78703056 80545356 81355968 82430781 83260368 84047328 86014728 86880384 93277696 99611648 100565016 102919066 103891836 104937408 106323761 107393808 108474624 109499904 109907708 111013824 112063104 113135643 114686304 115840512 120818034 124890552 129022092 134086688 138522448 139916544 143191744 144632832 148018432 149417472 150847524 152915072 154378599 155837754 157406112 161090712 162711936 164861562 166520736 168094656 172029456 173760768 186555392 199126019 201130032 205838132 207783672 209874816 212647522 214787616 216949248 218999808 219815416 222027648 224126208 226271286 229372608 231681024 233756631 241636068 247292343 249781104 258044184 268173376 277044896 279833088 286383488 296036864 298834944 301695048 305830144 308757198 311675508 314812224 318971283 322181424 325423872 329723124 333041472 336189312 344058912 347521536 398252038 402260064 411676264 415567344 419749632 425295044 429575232 433898496 439630832 444055296 448252416 452542572 458745216 463135797 467513262 483272136 494584686 499562208 516088368 536346752 554089792 559666176 572766976 592073728 597378057 603390096 611660288 617514396 623351016 629624448 631969321 637942566 644362848 650847744 659446248 666082944 672378624 688117824 695043072 741877029 796504076 804520128 823352528 831134688 839499264 850590088 859150464 879261664 888110592 896504832 905085144 917490432 926271594 935026524 956913849 966544272 989169372 999124416 1032176736 1072693504 1108179584 1145533952 1194756114 1206780192 1223320576 1235028792 1246702032 1259248896 1263938642 1275885132 1288725696 1301695488 1318892496 1332165888 1344757248 1376235648 1389407391 1483754058 1593008152 1609040256 1646705056 1662269376 1678998528 1701180176 1718300928 1758523328 1776221184 1792134171 1810170288 1834980864 1852543188 1870053048 1895907963 1913827698 1933088544 1978338744 1998248832 2064353472 2145387008 2216359168 2291067904 2389512228 2413560384 2445446503 2470057584 2493404064 2518497792 2527877284 2551770264 2577451392 2637784992 2664331776 2689514496 2752471296 2778814782 2870741547 2967508116 3186016304 3218080512 3293410112 3324538752 3402360352 3436601856 3517046656 3584268342 3620340576 3669961728 3705086376 3740106096 3791815926 3827655396 3866177088 3956677488 3996497664 4128706944 4290774016 4432718336 4579898437 4779024456 4827120768 4890893006 4940115168 4986808128 5036995584 5055754568 5103540528 5154902784 5275569984 5328663552 5376402513 5504942592 5557629564 5687723889 5741483094 5935016232 6372032608 6436161024 6586820224 6649077504 6804720704 6873203712 7034093312 7168536684 7240681152 7336339509 7410172752 7480212192 7583631852 7655310792 7732354176 7913354976 7992995328 8257413888 8865436672 9159796874 9462814729 9558048912 9654241536 9781786012 9880230336 9973616256 10111509136 10207081056 10309805568 10551139968 10752805026 11009885184 11115259128 11375447778 11482966188 11870032464 12744065216 12872322048 13173640448 13298155008 13609441408 13739695311 14068186624 14337073368 14481362304 14672679018 14820345504 14960424384 15167263704 15310621584 15464708352 15826709952 15985990656 16514827776 17063171667 18319593748 18925629458 19116097824 19308483072 19563572024 19760460672 19947232512 20223018272 20414162112 20619611136 21102279936 21505610052 22009018527 22230518256 22750895556 22965932376 23740064928 25488130432 26347280896 26596310016 27218882816 27479390622 28136373248 28388444187 28674146736 28962724608 29345358036 29640691008 29920848768 30334527408 30621243168 30929416704 31653419904 33029655552 34126343334 36639187496 37851258916 38232195648 38616966144 39127144048 39520921344 39894465024 40446036544 40828324224 41219085933 42204559872 43011220104 44018037054 44461036512 45501791112 45931864752 47480129856 50976260864 52694561792 54437765632 54958781244 56245269569 56776888374 57348293472 57925449216 58690716072 59281382016 59841697536 60669054816 61242486336 61858833408 63306839808 66027055581 68252686668 73278374992 75702517832 76464391296 78254288096 79041842688 79788930048 80892073088 81656648448 82438171866 84409119744 85165332561 86022440208 88036074108 88922073024 91003582224 91863729504 94960259712 101952521728 108875531264 109917562488 112490539138 113553776748 114696586944 115850898432 117381432144 118562764032 119683395072 121338109632 122484972672 123657257799 126613679616 132054111162 136505373336 146556749984 151405035664 152928782592 156508576192 158083685376 161784146176 163313296896 164876343732 168735808707 170330665122 172044880416 176072148216 177844146048 182007164448 183727459008 189920519424 203905043456 217644738767 219835124976 224981078276 227107553496 229393173888 234762864288 237125528064 239366790144 242676219264 244969945344 247314515598 253227359232 255495997683 264108222324 273010746672 293113499968 302810071328 305857565184 313017152384 323568292352 326626593792 329752687464 337471617414 340661330244 344089760832 352144296432 355688292096 364014328896 367454918016 379841038848 435289477534 439670249952 449962156552 454215106992 458786347776 469525728576 474251056128 485352438528 489939890688 494629031196 506207426121 510991995366 528216444648 546021493344 586226999936 605620142656 611715130368 626034304768 647136584704 652934216301 659505374928 674943234828 681322660488 688179521664 704288592864 711376584192 728028657792 734909836032 759682077696 870578955068 879340499904 899924313104 908430213984 917572695552 939051457152 970704877056 979879781376 989258062392 1012414852242 1021983990732 1056432889296 1092042986688 1172453999872 1211240285312 1252068609536 1305868432602 1319010749856 1349886469656 1362645320976 1376359043328 1408577185728 1422753168384 1456057315584 1469819672064 1518622278363 1741157910136 1758680999808 1799848626208 1816860427968 1835145391104 1878102914304 1941409754112 1958802648903 1978516124784 2024829704484 2043967981464 2112865778592 2184085973376 2344907999744 2422480570624 2504137219072 2611736865204 2638021499712 2699772939312 2725290641952 2752718086656 2817154371456 2912114631168 2939639344128 3037244556726 3482315820272 3517361999616 3599697252416 3633720855936 3756205828608 3917605297806 3957032249568 4049659408968 4087935962928 4225731557184 4368171946752 4689815999488 4844961141248 5005828991641 5223473730408 5276042999424 5399545878624 5450581283904 5505436173312 5634308742912 5824229262336 5876407946709 6074489113452 6964631640544 7034723999232 7199394504832 7267441711872 7512411657216 7835210595612 7914064499136 8099318817936 8175871925856 8451463114368 8736343893504 9689922282496 10011657983282 10446947460816 10552085998848 10799091757248 10901162567808 11268617485824 11752815893418 12148978226904 13929263281088 14069447998464 14398789009664 14534883423744 15017486974923 15670421191224 15828128998272 16198637635872 16351743851712 16902926228736 17472687787008 20023315966564 20893894921632 21104171997696 21598183514496 21802325135616 22537234971648 23505631786836 24297956453808 27858526562176 28797578019328 29069766847488 30034973949846 31340842382448 31656257996544 32397275271744 32703487703424 33805852457472 40046631933128 41787789843264 42208343995392 43196367028992 43604650271232 45052460924769 47011263573672 48595912907616 55717053124352 57595156038656 60069947899692 62681684764896 63312515993088 64794550543488 65406975406848 67611704914944 80093263866256 83575579686528 86392734057984 87209300542464 90104921849538 94022527147344 97191825815232 111434106248704 120139895799384 125363369529792 126625031986176 129589101086976 130813950813696 135157382774307 160186527732512 167151159373056 172785468115968 180209843699076 188045054294688 194383651630464 222868212497408 240279791598768 250726739059584 259178202173952 261627901627392 270314765548614 320373055465024 334302318746112 360419687398152 376090108589376 388767303260928 480559583197536 501453478119168 518356404347904 540629531097228 640746110930048 668604637492224 720839374796304 752180217178752 777534606521856 961119166395072 1002906956238336 1081259062194456 1281492221860096 1441678749592608 1504360434357504 1555069213043712 1922238332790144 2005813912476672 2162518124388912 2562984443720192 2883357499185216 3008720868715008 3844476665580288 4325036248777824 5125968887440384 5766714998370432 6017441737430016 7688953331160576 8650072497555648 11533429996740864 15377906662321152 17300144995111296 23066859993481728 34600289990222592 46133719986963456 69200579980445184 138401159960890368
- Sum of all divisors σ(n): 433738071518457720
- Sum of proper divisors (its aliquot sum) s(n): 295336911557567352
- 138401159960890368 is an abundant number, because the sum of its proper divisors (295336911557567352) is greater than itself. Its abundance is 156935751596676984
Bases of 138401159960890368
- Binary: 1111010111011001100011111001001111111100010001100000000002
- Hexadecimal: 0x1EBB31F27F88C00
- Base-36: 11UR4758NPC0
Squares and roots of 138401159960890368
- 138401159960890368 squared (1384011599608903682) is 19154881078519963129583323315175424
- 138401159960890368 cubed (1384011599608903683) is 2651057760180073630306883400823752196898309151916032
-
The
square root of 138401159960890368 is 372023063.7485939097 -
The
cube root of 138401159960890368 is 517265.1784853329
Scales and comparisons
How big is 138401159960890368?- 138,401,159,960,890,368 seconds is equal to 4,400,728,783 years, 44 weeks, 5 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,401,159,960,890,368 would take you about thirteen billion, two hundred two million, one hundred eighty-six thousand, three hundred fifty-one 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 138401159960890368 cubic inches would be around 43105.4 feet tall.
Recreational maths with 138401159960890368
- 138401159960890368 backwards is 863098069951104831
- The number of decimal digits it has is: 18
- The sum of 138401159960890368's digits is 81
- More coming soon!
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"Number 138401159960890368 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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The information we have on file for 138401159960890368 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 138401159960890368, math, Factors of 138401159960890368, curriculum, school, college, exams, university, Prime factorization of 138401159960890368, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred one trillion, one hundred fifty-nine billion, nine hundred sixty million, eight hundred ninety thousand, three hundred sixty-eight.