138688103574208125
138,688,103,574,208,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138688103574208125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
138688103574208125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138688103574208125:
38 × 54 × 72 × 29 × 73 × 5712
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 29 × 73 × 571 × 571)See below for interesting mathematical facts about the number 138688103574208125 from the Numbermatics database.
Names of 138688103574208125
- Cardinal: 138688103574208125 can be written as One hundred thirty-eight quadrillion, six hundred eighty-eight trillion, one hundred three billion, five hundred seventy-four million, two hundred eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38688103574208125 × 1017
Factors of 138688103574208125
Divisors of 138688103574208125
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 29 35 45 49 63 73 75 81 87 105 125 135 145 147 175 189 203 219 225 243 245 261 315 365 375 405 435 441 511 525 567 571 609 625 657 675 725 729 735 783 875 945 1015 1095 1125 1215 1225 1305 1323 1421 1533 1575 1701 1713 1825 1827 1875 1971 2025 2117 2175 2187 2205 2349 2555 2625 2835 2855 3045 3285 3375 3577 3625 3645 3675 3915 3969 3997 4263 4375 4599 4725 5075 5103 5139 5475 5481 5625 5913 6075 6125 6351 6525 6561 6615 7047 7105 7665 7875 8505 8565 9125 9135 9855 10125 10585 10731 10875 10935 11025 11745 11907 11991 12775 12789 13125 13797 14175 14275 14819 15225 15309 15417 16425 16443 16559 16875 17739 17885 18125 18225 18375 19053 19575 19845 19985 21141 21315 22995 23625 25375 25515 25695 27375 27405 27979 29565 30375 30625 31755 32193 32625 32805 33075 35235 35525 35721 35973 38325 38367 39375 41391 41683 42525 42825 44457 45625 45675 45927 46251 49275 49329 49677 50625 52925 53217 53655 54375 54675 55125 57159 58725 59535 59955 63423 63875 63945 68985 70875 71375 74095 76125 76545 77085 82125 82215 82795 83937 88695 89425 91125 91875 95265 96579 97875 99225 99925 103733 105705 106575 107163 107919 114975 115101 115913 118125 124173 125049 126875 127575 128475 133371 136875 137025 138753 139895 147825 147987 149031 151875 158775 159651 160965 163125 164025 165375 171477 176175 177625 178605 179865 190269 191625 191835 206955 208415 212625 214125 222285 228375 229635 231255 246375 246645 248385 251811 264625 266085 268275 273375 275625 285795 289737 291781 293625 297675 299775 311199 317115 319375 319725 321489 323757 326041 344925 345303 347739 354375 356875 370475 372519 375147 380625 382725 385425 400113 410625 411075 413975 416259 419685 443475 443961 447093 447125 455625 476325 478953 482895 489375 496125 499625 514431 518665 528525 532875 535815 539595 574875 575505 579565 620865 625245 637875 642375 666855 685125 693765 699475 739125 739935 745155 755433 793875 798255 804825 811391 820125 826875 857385 869211 875343 880875 888125 893025 899325 933597 951345 958125 959175 971271 978123 1034775 1035909 1042075 1043217 1063125 1070625 1111425 1117557 1125441 1141875 1148175 1156275 1200339 1208807 1231875 1233225 1241925 1248777 1259055 1323125 1330425 1331883 1341279 1341375 1366875 1428975 1448685 1458905 1468125 1488375 1498875 1543293 1555995 1585575 1598625 1607445 1618785 1630205 1724625 1726515 1738695 1852375 1862595 1875735 1913625 1927125 2000565 2042467 2055375 2069875 2081295 2098425 2217375 2219805 2235465 2235625 2266299 2282287 2381625 2394765 2414475 2434173 2480625 2498125 2572155 2593325 2607633 2626029 2642625 2664375 2679075 2697975 2800791 2874375 2877525 2897825 2913813 2934369 3104325 3107727 3126225 3129651 3189375 3211875 3334275 3352671 3376323 3425625 3468825 3497375 3601017 3626421 3695625 3699675 3725775 3746331 3777165 3969375 3991275 4023837 4024125 4056955 4100625 4286925 4346055 4376715 4404375 4465125 4496625 4629879 4667985 4756725 4795875 4856355 4890615 5173875 5179545 5210375 5216085 5557125 5587785 5627205 5740875 5781375 6001695 6044035 6127401 6166125 6209625 6243885 6295275 6652125 6659415 6706395 6706875 6798897 6846861 7144875 7243425 7294525 7302519 7441875 7494375 7716465 7779975 7822899 7878087 7927875 7993125 8037225 8093925 8151025 8402373 8461649 8623125 8632575 8693475 8741439 8803107 9261875 9312975 9323181 9378675 9388953 9455189 9568125 9635625 10002825 10128969 10212335 10276875 10349375 10406475 10492125 10803051 10879263 11086875 11099025 11177325 11331495 11411435 11908125 11973825 12071511 12072375 12170865 12860775 12966625 13038165 13130145 13213125 13395375 13489875 13889637 14003955 14387625 14489125 14569065 14671845 15521625 15538635 15631125 15648255 15976009 16671375 16763355 16881615 17344125 17486875 18005085 18132105 18382203 18498375 18628875 18731655 18885825 19956375 20119185 20120625 20284775 20396691 20540583 21434625 21730275 21883575 21907557 22325625 22483125 23149395 23339925 23468697 23634261 23783625 23800993 23979375 24281775 24453075 25207119 25384947 25869375 25897725 26051875 26080425 26224317 26409321 27785625 27938925 28136025 28166859 28365567 28704375 28906875 30008475 30220175 30386907 30637005 30830625 31048125 31219425 31476375 32409153 32637789 33260625 33297075 33531975 33994485 34234305 35724375 36214533 36217125 36472625 36512595 38582325 38899875 39114495 39390435 39639375 40186125 40469625 40755125 42011865 42308245 43162875 43467375 43707195 44015535 46564875 46615905 46893375 46944765 47275945 47928027 50014125 50644845 51061675 52032375 52460625 54015255 54396315 55146609 55495125 55886625 56657475 57057175 59231543 59869125 60357555 60361875 60854325 61190073 61621749 64303875 64833125 65190825 65650725 65722671 66186323 66976875 67449375 69448185 70019775 70902783 71402979 71938125 72445625 72845325 73359225 75621357 76154841 77608125 77693175 78155625 78241275 79227963 79880045 83356875 83816775 84408075 84500577 85096701 86720625 90025425 90660525 91160721 91911015 92491875 93144375 93658275 94429125 97227459 97913367 99781875 100595925 101423875 101983455 102702915 107173125 108643599 108651375 109417875 109537785 115746975 116699625 117343485 118171305 118918125 119004965 121408875 122265375 126035595 126924735 129488625 130402125 131121585 132046605 139694625 140680125 140834295 141827835 143784081 150042375 151100875 151934535 153185025 156097125 157381875 162045765 163188945 165439827 166485375 166606951 167659875 169972425 171171525 177694629 181072665 181085625 182363125 182562975 183570219 184865247 192911625 194499375 195572475 196952175 197168013 198558969 200930625 202348125 203775625 210059325 211541225 212708349 214208937 215814375 217336875 218535975 220077675 226864071 228464523 232824375 233079525 234466875 234723825 236379725 237683889 239640135 250070625 253224225 253501731 255290103 255308375 260161875 270076275 271981575 273482163 275733045 277475625 279433125 283287375 285285875 293740101 296157715 299345625 301787775 304271625 305950365 308108745 321519375 325954125 328253625 328613355 330931615 347240925 350098875 354513915 357014895 364226625 366796125 378106785 380774205 388465875 391206375 396139815 399400225 419083875 422040375 422502885 425483505 431352243 450127125 453302625 455803605 459555075 463304261 468291375 472145625 486137295 489566835 496319481 499820853 502979625 507119375 509917275 513514575 533083887 543217995 543256875 547089375 547688925 554595741 578734875 583498125 586717425 590856525 591504039 595024825 595676907 607044375 611326875 630177975 634623675 638125047 642626811 647443125 652010625 655607925 660233025 680592213 685393569 690228797 698473125 703400625 704171475 709139175 713051667 718920405 750211875 755504375 759672675 760505193 765870309 765925125 780485625 810228825 815944725 827199135 832426875 833034755 838299375 849862125 855857625 881220303 888473145 905363325 912814875 917851095 924326235 964558125 977862375 984760875 985840065 992794845 1050296625 1057706125 1063541745 1071044685 1092679875 1100388375 1134320355 1142322615 1165397625 1166248657 1173619125 1181898625 1188419445 1198200675 1266121125 1267508655 1276450515 1276541875 1294056729 1350381375 1359907875 1367410815 1378665225 1389912783 1416436875 1426429375 1468700505 1480788575 1488958443 1499462559 1508938875 1521358125 1529751825 1540543725 1599251661 1629770625 1641268125 1643066775 1654658075 1663787223 1736204625 1750494375 1772569575 1774512117 1785074475 1787030721 1821133125 1833980625 1890533925 1903871025 1914375141 1927880433 1942329375 1956031875 1980699075 1997001125 2056180707 2070686391 2095419375 2110201875 2112514425 2127417525 2139155001 2156761215 2250635625 2266513125 2279018025 2297610927 2297775375 2316521305 2341456875 2430686475 2447834175 2481597405 2499104265 2514898125 2549586375 2567572875 2643660909 2665419435 2716089975 2738444625 2772978705 2893674375 2933587125 2954282625 2957520195 2975124125 2978384535 3150889875 3173118375 3190625235 3213134055 3278039625 3301165125 3402961065 3426967845 3451143985 3498745971 3520857375 3545695875 3565258335 3594602025 3798363375 3802525965 3829351545 3829625625 3882170187 4051144125 4079723625 4135995675 4165173775 4169738349 4249310625 4279288125 4406101515 4442365725 4466875329 4498387677 4526816625 4564074375 4589255475 4621631175 4797754983 4831601579 4889311875 4923804375 4929200325 4963974225 4991361669 5251483125 5288530625 5317708725 5323536351 5355223425 5361092163 5463399375 5501941875 5671601775 5711613075 5783641299 5826988125 5831243285 5868095625 5909493125 5942097225 5991003375 6168542121 6212059173 6330605625 6337543275 6382252575 6470283645 6751906875 6799539375 6837054075 6892832781 6893326125 6949563915 7343502525 7403942875 7444792215 7497312795 7544694375 7648759125 7702718625 7930982727 7996258305 8215333875 8273290375 8318936115 8681023125 8862847875 8872560585 8925372375 8935153605 9452669625 9519355125 9571875705 9639402165 9903495375 9985005625 10280903535 10353431955 10496237913 10562572125 10637087625 10695775005 10783806075 11395090125 11488054635 11488876875 11582606525 11646510561 12153432375 12239170875 12407987025 12495521325 12509215047 12747931875 12837864375 13218304545 13327097175 13400625987 13495163031 13580449875 13692223125 13864893525 14393264949 14494804737 14667935625 14771413125 14787600975 14875620625 14891922675 14974085007 15754449375 15865591875 15953126175 16065670275 16083276489 16390198125 16505825625 17014805325 17134839225 17255719925 17350923897 17493729855 17604286875 17728479375 17826291675 17973010125 18505626363 18636177519 18991816875 19012629825 19146757725 19410850935 20255720625 20398618125 20678498343 20679978375 20825868875 20848691745 22030507575 22211828625 22334376645 22491938385 22634083125 22946277375 23108155875 23988774915 24158007895 24646001625 24819871125 24956808345 26588543625 26617681755 26776117125 26805460815 28358008875 28558065375 28918206495 29156216425 29710486125 29955016875 30842710605 31060295865 31488713739 31687716375 31911262875 32351418225 33821211053 34185270375 34464163905 34466630625 34747819575 34939531683 36717512625 37019714375 37223961075 37486563975 37527645141 38243795625 38513593125 39654913635 39981291525 40485489093 41076669375 41366451875 41594680575 43179794847 43484414211 44314239375 44362802925 44626861875 44675768025 47263348125 47596775625 47859378525 48197010825 48249829467 49517476875 51404517675 51767159775 52052771691 52481189565 52812860625 53185438125 53478875025 53919030375 55516879089 55908532557 56975450625 57440273175 57913032625 58232552805 60767161875 61195854375 62035495029 62039935125 62477606625 62546075235 66091522725 66635485875 67003129935 67475815155 67902249375 69324467625 71966324745 72474023685 73938004875 74459613375 74870425035 79765630875 80328351375 80416382445 85074026625 85674196125 86278599625 86754619485 87468649275 89131458375 89865050625 92528131815 93180887595 94466141217 95063149125 95733788625 97054254675 101463633159 103392491715 103399891875 104129344375 104243458725 104818595049 110152537875 111059143125 111671883225 112459691925 112582935423 114731386875 115540779375 119943874575 120790039475 121456467279 123230008125 124099355625 124784041725 129539384541 130453242633 132942718125 133088408775 133880585625 134027304075 141790044375 142790326875 144591032475 144749488401 145781082125 148552430625 154213553025 155301479325 156158315073 157443568695 158438581875 159556314375 161757091125 167725597671 169106055265 170926351875 172320819525 173739097875 174697658415 183587563125 186119805375 187432819875 187638225705 198274568175 199906457625 202427445465 207973402875 215898974235 217422071055 221814014625 223378840125 239296892625 240985054125 241249147335 257022588375 258835798875 260263858455 262405947825 267394375125 269595151875 277584395445 279542662785 283398423651 287201365875 289565163125 291162764025 304390899477 310177475145 310199675625 312388033125 312730376175 330457613625 333177429375 335015649675 337379075775 337748806269 346622338125 359831623725 362370118425 364369401837 369690024375 372298066875 374352125175 388618153623 391359727899 398828154375 401641756875 402081912225 425370133125 428370980625 431392998125 433773097425 434248465203 437343246375 445657291875 462640659075 465904437975 472330706085 475315745625 478668943125 485271273375 503176793013 507318165795 516962458575 521217293625 524092975245 550762689375 558359416125 562298459625 562914677115 599719372875 603950197375 607282336395 623920208625 647696922705 652266213165 665442043875 670136520375 722955162375 723747442005 728905410625 771067765125 776507396625 780791575365 787217843475 808785455625 838627988355 845530276325 850195270953 861604097625 868695489375 873488292075 913172698431 930599026875 937164099375 938191128525 991372840875 999532288125 1012137227325 1013246418807 1039867014375 1079494871175 1087110355275 1093108205511 1109070073125 1116894200625 1174079183697 1196484463125 1204925270625 1206245736675 1285112941875 1294178994375 1301319292275 1312029739125 1336971875625 1387921977225 1397713313925 1416992118255 1436006829375 1455813820125 1509530379039 1521954497385 1550887375725 1563651880875 1652288068125 1675078248375 1686895378875 1688744031345 1799158118625 1811850592125 1821847009185 1871760625875 1943090768115 1956798639495 2010409561125 2168865487125 2171242326015 2186716231875 2313203295375 2329522189875 2361653530425 2426356366875 2515883965065 2536590828975 2550585812859 2584812292875 2606086468125 2620464876225 2739518095293 2791797080625 2811492298125 2814573385575 2998596864375 3019750986875 3036411681975 3039739256421 3119601043125 3238484613525 3261331065825 3327210219375 3350682601875 3522237551091 3614775811875 3618737210025 3855338825625 3882536983125 3903957876825 3936089217375 4193139941775 4227651381625 4250976354765 4308020488125 4367441460375 4528591137117 4565863492155 4690955642625 4956864204375 5060686136625 5066232094035 5397474355875 5435551776375 5465541027555 5870395918485 6031228683375 6506596461375 6560148695625 6939609886125 6988566569625 7084960591275 7279069100625 7547651895195 7609772486925 7651757438577 7754436878625 7818259404375 8218554285879 8375391241875 8434476894375 8443720156725 8995790593125 9059252960625 9109235045925 9358803129375 9715453840575 9783993197475 10052047805625 10566712653273 10844327435625 10856211630075 11566016476875 11647610949375 11808267652125 12579419825325 12682954144875 12752929064295 12924061464375 13102324381125 13697590476465 14072866927875 15182058409875 15198696282105 16192423067625 16306655329125 17611187755455 18093686050125 19519789384125 19680446086875 20965699708875 21138256908125 21254881773825 21837207301875 22642955685585 22829317460775 23454778213125 24655662857637 25303430683125 25331160470175 26987371779375 27177758881875 27327705137775 29351979592425 30156143416875 31700137959819 32532982306875 34698049430625 34942832848125 35424802956375 37738259475975 38048862434625 38258787192885 38772184393125 41092771429395 42218600783625 45546175229625 48577269202875 48919965987375 52833563266365 54281058150375 59041338260625 62897099126625 63414770724375 63764645321475 65511621905625 68487952382325 70364334639375 73966988572911 75910292049375 75993481410525 80962115338125 81533276645625 88055938777275 90468430250625 97598946920625 104828498544375 106274408869125 113214778427925 114146587303875 123278314288185 126655802350875 136638525688875 146759897962125 158500689799095 177124014781875 188691297379875 190244312173125 191293935964425 205463857146975 211093003918125 221900965718733 227730876148125 242886346014375 244599829936875 264167816331825 271405290751875 314485495633125 318823226607375 342439761911625 369834942864555 379967407052625 440279693886375 531372044345625 566073892139625 570732936519375 616391571440925 633279011754375 683192628444375 733799489810625 792503448995475 943456486899375 956469679822125 1027319285734875 1109504828593665 1320839081659125 1594116133036875 1712198809558125 1849174714322775 1899837035263125 2201398469431875 2830369460698125 3081957857204625 3962517244977375 4782348399110625 5136596428674375 5547524142968325 6604195408295625 9245873571613875 15409789286023125 19812586224886875 27737620714841625 46229367858069375 138688103574208125
- Sum of all divisors σ(n): 317651976927705420
- Sum of proper divisors (its aliquot sum) s(n): 178963873353497295
- 138688103574208125 is an abundant number, because the sum of its proper divisors (178963873353497295) is greater than itself. Its abundance is 40275769779289170
Bases of 138688103574208125
- Binary: 1111011001011100000011000011011000001110011111110011111012
- Hexadecimal: 0x1ECB8186C1CFE7D
- Base-36: 11XKTV7ZD2T9
Squares and roots of 138688103574208125
- 138688103574208125 squared (1386881035742081252) is 19234390073010280496588720816015625
- 138688103574208125 cubed (1386881035742081253) is 2667581082632370360911633930840097325522177001953125
-
The
square root of 138688103574208125 is 372408517.0537968845 -
The
cube root of 138688103574208125 is 517622.4093097817
Scales and comparisons
How big is 138688103574208125?- 138,688,103,574,208,125 seconds is equal to 4,409,852,703 years, 9 weeks, 5 days, 17 hours, 48 minutes, 45 seconds.
-
To count from 1 to 138,688,103,574,208,125 would take you about thirteen billion, two hundred twenty-nine million, five hundred fifty-eight thousand, one hundred 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 138688103574208125 cubic inches would be around 43135.2 feet tall.
Recreational maths with 138688103574208125
- 138688103574208125 backwards is 521802475301886831
- The number of decimal digits it has is: 18
- The sum of 138688103574208125's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138688103574208125 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 138688103574208125 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/138688103574208125/
Chicago style:
Numbermatics. 2024. "Number 138688103574208125 - Facts about the integer". https://numbermatics.com/n/138688103574208125/
The information we have on file for 138688103574208125 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 138688103574208125, math, Factors of 138688103574208125, curriculum, school, college, exams, university, Prime factorization of 138688103574208125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred eighty-eight trillion, one hundred three billion, five hundred seventy-four million, two hundred eight thousand, one hundred twenty-five.