138161749123125
138,161,749,123,125 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138161749123125 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
138161749123125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138161749123125:
33 × 54 × 72 × 13 × 17 × 293 × 31
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 17 × 29 × 29 × 29 × 31)See below for interesting mathematical facts about the number 138161749123125 from the Numbermatics database.
Names of 138161749123125
- Cardinal: 138161749123125 can be written as One hundred thirty-eight trillion, one hundred sixty-one billion, seven hundred forty-nine million, one hundred twenty-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38161749123125 × 1014
Factors of 138161749123125
Divisors of 138161749123125
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 3 5 7 9 13 15 17 21 25 27 29 31 35 39 45 49 51 63 65 75 85 87 91 93 105 117 119 125 135 145 147 153 155 175 189 195 203 217 221 225 245 255 261 273 279 315 325 351 357 375 377 403 425 435 441 455 459 465 493 525 527 585 595 609 625 637 651 663 675 725 735 765 775 783 819 833 837 841 875 899 945 975 1015 1071 1085 1105 1125 1131 1209 1225 1275 1305 1323 1365 1395 1421 1479 1519 1547 1575 1581 1625 1755 1785 1827 1875 1885 1911 1953 1989 2015 2125 2175 2205 2275 2295 2325 2457 2465 2499 2523 2625 2635 2639 2697 2821 2925 2975 3045 3185 3213 3255 3315 3375 3393 3451 3625 3627 3675 3689 3825 3875 3915 4095 4165 4185 4205 4263 4375 4437 4495 4557 4641 4725 4743 4875 5075 5355 5425 5481 5525 5625 5655 5733 5859 5887 5967 6045 6125 6293 6375 6409 6525 6615 6825 6851 6975 7105 7395 7497 7569 7595 7735 7875 7905 7917 8091 8125 8463 8775 8925 9135 9425 9555 9765 9945 10075 10179 10353 10625 10829 10875 10881 10933 11025 11067 11375 11475 11625 11687 12285 12325 12495 12615 12789 13125 13175 13195 13311 13485 13671 13923 14105 14229 14297 14625 14875 15225 15283 15925 16065 16275 16575 16875 16965 17199 17255 17661 18125 18135 18375 18445 18473 18879 19125 19227 19375 19575 19747 20475 20553 20825 20925 21025 21315 22185 22475 22491 22707 22785 23205 23625 23715 23751 24157 24273 24375 24389 25375 25389 25823 26071 26775 27125 27405 27625 28275 28665 29295 29435 29835 30225 30625 31059 31465 31875 32045 32487 32625 32799 33075 33201 34125 34255 34875 35061 35525 36975 37485 37845 37975 38367 38675 39375 39525 39585 40455 41013 41209 41769 42315 42891 43875 44051 44625 44863 45675 45849 47125 47775 47957 48825 49725 50375 50895 51765 52983 54145 54375 54405 54665 55125 55335 55419 56637 56875 57375 57681 58125 58435 59241 61425 61625 61659 62475 63075 63945 65875 65975 66555 67425 68355 69615 70525 71145 71253 71485 72471 73125 73167 74375 76125 76167 76415 76531 77469 78213 79625 80325 81375 81809 82875 84825 85995 86275 88305 90675 91875 92225 92365 93177 94395 95625 96135 97461 97875 98397 98735 99603 100079 102375 102765 104125 104625 105125 105183 106575 106981 110925 112375 112455 113535 113925 116025 118125 118575 118755 120785 121365 121945 123627 126875 126945 128673 129115 130355 132153 133875 134589 135625 137025 137547 138125 141375 143325 143871 146475 147175 149175 151125 155295 157325 158949 160225 162435 163125 163995 165375 166005 166257 169911 170625 170723 171275 173043 174375 175305 177625 177723 182497 184875 184977 185861 187425 189225 189875 191835 193375 197625 197925 198679 202275 205065 206045 208845 211575 214455 217413 219375 219501 220255 223125 224315 228375 229245 229593 232407 234639 235625 238875 239785 244125 245427 248625 251875 254475 258825 264915 270725 272025 273325 275625 276675 277095 283185 286875 288405 292175 292383 295191 296205 300237 307125 308125 308295 312375 314041 315375 315549 317057 319725 320943 329375 329875 332775 335699 337125 338923 341775 348075 352625 355725 356265 357425 362355 365835 370881 380625 380835 382075 382655 386019 387345 391065 396459 398125 401625 403767 406875 409045 412641 414375 414613 424125 429975 431375 431613 441525 443207 453375 461125 461825 465885 471975 480675 487305 489375 491985 493675 498015 498771 500395 511875 512169 513825 520625 523125 525625 525915 532875 533169 534905 535717 547491 554625 557583 561875 562275 567675 569625 572663 580125 592875 593775 596037 603925 606825 609725 618135 634725 643365 645575 651775 652239 658503 660765 669375 672945 685125 687735 688779 697221 700553 703917 706875 716625 719355 732375 735875 736281 745875 748867 755625 756059 776475 786625 794745 801125 812175 819975 826875 830025 831285 849555 853615 856375 865215 876525 888125 888615 900711 912485 924375 924885 929305 937125 942123 946125 949375 951171 959175 962829 966875 988125 989625 993395 1007097 1011375 1016769 1025325 1030225 1044225 1057875 1072275 1087065 1097505 1101275 1112643 1121575 1141875 1146225 1147965 1162035 1173195 1189377 1194375 1195061 1198925 1211301 1220625 1227135 1243125 1243839 1272375 1277479 1294125 1294839 1301027 1324575 1329621 1353625 1360125 1366625 1383375 1385475 1390753 1415925 1442025 1460875 1461915 1475955 1481025 1501185 1535625 1536507 1541475 1561875 1570205 1576875 1577745 1585285 1598625 1604715 1607151 1642473 1649375 1663875 1672749 1678495 1685625 1694615 1708875 1717989 1740375 1763125 1778625 1781325 1787125 1788111 1811775 1829175 1854405 1904175 1910375 1913275 1930095 1936725 1955325 1982295 2008125 2018835 2045225 2063205 2066337 2073065 2101659 2120625 2149875 2156875 2158065 2207625 2208843 2216035 2219399 2246601 2266875 2268177 2305625 2309125 2329425 2359875 2372461 2403375 2436525 2459925 2468375 2490075 2493855 2501975 2560845 2569125 2629575 2664375 2665845 2674525 2678585 2702133 2737455 2773125 2787915 2811375 2826369 2838375 2848125 2853513 2863315 2888487 2900625 2902291 2964375 2968875 2980185 3019625 3021291 3034125 3048625 3050307 3090675 3102449 3173625 3216825 3227875 3258875 3261195 3292515 3303825 3364725 3425625 3438675 3443895 3486105 3502765 3519585 3583125 3585183 3596775 3661875 3679375 3681405 3729375 3731517 3744335 3780295 3832437 3882375 3903081 3933125 3973725 3988863 4005625 4060875 4099875 4150125 4156425 4172259 4247775 4268075 4281875 4326075 4382625 4443075 4503555 4562425 4609521 4624425 4646525 4685625 4710615 4730625 4755855 4795875 4814145 4821453 4927419 4948125 4966975 5018247 5035485 5056875 5083845 5126625 5151125 5153967 5221125 5289375 5292413 5361375 5364333 5389969 5435325 5487525 5506375 5563215 5607875 5731125 5739825 5761691 5810175 5865975 5946885 5975305 5994625 6056505 6135675 6219195 6304977 6361875 6387395 6470625 6474195 6505135 6622875 6648105 6658197 6739803 6768125 6800625 6804531 6833125 6916875 6927375 6953765 7079625 7117383 7210125 7304375 7309575 7379775 7405125 7505925 7682535 7707375 7851025 7888725 7926425 7993125 8023575 8035755 8212365 8319375 8363745 8392475 8473075 8479107 8544375 8560539 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20219409 20304375 20316037 20413593 20499375 20750625 20782125 20861295 21238875 21340375 21352149 21630375 21717143 21913125 22215375 22517775 22812125 23047605 23122125 23232625 23553075 23779275 23979375 24070725 24107265 24637095 24834875 25091235 25177425 25419225 25633125 25755625 25769835 26105625 26120619 26462065 26806875 26821665 26949845 27176625 27321567 27437625 27531875 27816075 27922041 28039375 28655625 28699125 28808455 29050875 29205813 29329875 29486301 29734425 29876525 29973125 30282525 30678375 31095975 31524885 31936975 32266647 32370975 32525675 33114375 33240525 33290985 33699015 34022655 34491933 34636875 34768825 35127729 35398125 35586915 36050625 36547875 36898875 37025625 37046891 37529625 37550331 37729783 38412675 38536875 38559009 39255125 39443625 39632125 40117875 40178775 40331837 41061825 41818725 41962375 42365375 42395535 42802695 42949725 43534365 44533125 44702775 45294375 45319365 45535945 45729375 45754605 46360125 46536735 46607379 47604375 47631717 47831875 48252375 48418125 48509721 48676355 48883125 49143835 49557375 49821681 50470875 51130625 51580125 51658425 51826625 51855219 52541475 53777745 53951625 55221075 55400875 55484975 55972755 56165025 56704425 57486555 58235625 58546215 59311525 59832945 59923773 60913125 60948111 61498125 62251875 62346375 62549375 62583885 64021125 64056447 64265015 65151429 65739375 66646125 66863125 66964625 67553325 68436375 68801369 69697875 70659225 71337825 71582875 72212175 72321795 72557275 74504625 75532275 76257675 77266875 77309505 77561225 77678965 78361857 79386195 80420625 80849535 81529875 81964701 82312875 82595625 83036135 83766123 84118125 85966875 86097375 86425365 87152625 87569125 87617439 87989625 88458903 89629575 89919375 89971021 92035125 93287925 93608375 94507375 94574655 95810925 97577025 99343125 99721575 99872955 101097045 101580185 102067965 103910625 104306475 106194375 106701875 106760745 108151875 108585715 111076875 111140673 112588875 113189349 114060625 115238025 115610625 115677027 116163125 117765375 118896375 120353625 120536325 120995511 123185475 124174375 125456175 125887125 127096125 128849175 130603095 132310325 134108325 134749225 135883125 136607835 137188125 139080375 139610205 139822137 142895151 143495625 144042275 145254375 145529163 146029065 146649375 147431505 148672125 149382625 149465043 151412625 153391875 155479875 155565657 157624425 159684875 161333235 161854875 162628375 166202625 166454925 167089039 168495075 170113275 172459665 173844125 175638645 177934575 182739375 182844333 184494375 185234455 187648125 187751655 188648915 192063375 192795045 195454287 196275625 197218125 198160625 200589375 200893875 201659185 205309125 206404107 209093625 209811875 211826875 211977675 214013475 214748625 217671825 223513875 226596825 227679725 228773025 231800625 232683675 233036895 238158585 241261875 242548605 243381775 245719175 245894103 247786875 249108405 252354375 257900625 258292125 259133125 259276095 262707375 262852317 264108481 265376709 268888725 269758125 269913063 276105375 277004375 277424875 279863775 280825125 282322859 283522125 287432775 292731075 296557625 299164725 299618865 304740555 311731875 312919425 320105625 320282235 321325075 325757145 333230625 333422019 334823125 337766625 339568047 342181875 344006845 347031081 348489375 353296125 356689125 357914375 361060875 361608975 362786375 362986533 372523125 377661375 381288375 386547525 387806125 388394825 391809285 396930975 404247675 407649375 409823505 411564375 415180675 418830615 419466411 430486875 432126825 435763125 437845625 438087195 439948125 442294515 448147875 448395129 449855105 460175625 466439625 468041875 472536875 472873275 479054625 481609583 487885125 498607875 499364775 501267117 505485225 507900925 510339825 521532375 533803725 542928575 548532999 555703365 562944375 565946745 576190125 578385135 586362861 588826875 594481875 601768125 602681625 604977555 615927375 619212321 627280875 629435625 629797147 635480625 644245875 653015475 661551625 670541625 673746125 683039175 695401875 698051025 699110685 714475755 720211375 727645815 730145325 737157525 743360625 746913125 747325215 757063125 777399375 777828285 788122125 792325443 798424375 806666175 809274375 809739189 813141875 831013125 832274625 835445195 842475375 846968577 850566375 862298325 869220625 878193225 889672875 914221665 926172275 938758275 943244575 960316875 963975225 977271435 1000266057 1004469375 1008295925 1018704141 1026545625 1032020535 1045468125 1059888375 1070067375 1073743125 1088359125 1088959599 1117569375 1132984125 1138398625 1143865125 1163418375 1165184475 1169623273 1190792925 1212743025 1216908875 1228595875 1229470515 1245542025 1291460625 1296380475 1313536875 1314261585 1320542405 1326883545 1344443625 1349565315 1380526875 1387124375 1399318875 1404125625 1411614295 1417610625 1437163875 1444828749 1463655375 1482788125 1495823625 1498094325 1503801351 1523702775 1564597125 1601411175 1606625375 1628785725 1667110095 1688833125 1697840235 1720034225 1735155405 1766480625 1783445625 1805304375 1808044875 1813931875 1814932665 1857636963 1888306875 1889391441 1906441875 1932737625 1939030625 1941974125 1959046425 1984654875 2021238375 2049117525 2075903375 2094153075 2097332055 2160634125 2190435975 2211472575 2240739375 2241975645 2249275525 2332198125 2364366375 2376976329 2395273125 2408047915 2429217567 2439425625 2493039375 2496823875 2506335585 2527426125 2539504625 2540905731 2551699125 2607661875 2669018625 2714642875 2742664995 2778516825 2829733725 2880950625 2891925675 2931814305 3013408125 3024887775 3079636875 3096061605 3136404375 3148985735 3221229375 3265077375 3307758125 3352708125 3368730625 3415195875 3490255125 3495553425 3508869819 3572378775 3601056875 3638229075 3650726625 3685787625 3736626075 3889141425 3940610625 3961627215 4033330875 4048695945 4161373125 4177225975 4212376875 4234842885 4252831875 4311491625 4334486247 4390966125 4448364375 4511404053 4571108325 4630861375 4693791375 4716222875 4819876125 4886357175 5001330285 5041479625 5093520705 5160102675 5299441875 5350336875 5441795625 5444797995 5664920625 5668174323 5691993125 5719325625 5817091875 5825922375 5848116365 5953964625 6063715125 6084544375 6142979375 6147352575 6227710125 6481902375 6571307925 6602712025 6634417725 6722218125 6747826575 6996594375 7058071475 7130928987 7185819375 7224143745 7318276875 7479118125 7490471625 7519006755 7618513875 7622717193 7822985625 8007055875 8033126875 8143928625 8187362911 8335550475 8489201175 8600171125 8675777025 9040224375 9074663325 9288184815 9446957205 9663688125 9709870625 9795232125 9923274375 10106191875 10245587625 10379516875 10470765375 10486660275 10526609457 10803170625 10952179875 11057362875 11209878225 11246377625 11821831875 11884881645 12040239575 12146087835 12484119375 12531677925 12637130625 12697523125 12704528655 12758495625 13003458741 13345093125 13573214375 13713324975 13892584125 14148668625 14459628375 14659071525 15124438875 15480308025 15744928675 16325386875 17004522969 17075979375 17451275625 17477767125 17544349095 17861893875 18191145375 18253633125 18428938125 18683130375 19445707125 19808136075 20166654375 20243479725 20886129875 21174214425 21557458125 21672431235 21954830625 22557020265 22855541625 23154306875 23468956875 23581114375 24099380625 24431785875 24562088733 25006651425 25207398125 25467603525 25800513375 27223989975 28340871615 29129611875 29240581825 29769823125 30318575625 30736762875 31138550625 31579828371 32409511875 32856539625 33013560125 33172088625 33739132875 35290357375 35654644935 36120718725 37452358125 37595033775 38092569375 38113585965 40035279375 40719643125 40936814555 41677752375 42446005875 43000855625 43378885125 45373316625 46440924075 47234786025 48976160625 51227938125 52353826875 52433301375 52633047285 54760899375 55286814375 56049391125 56231888125 59424408225 60201197875 60730439175 62658389625 63522643275 65017293705 68566624875 69462920625 70743343125 72298141875 73295357625 73686266199 75622194375 77401540125 78724643375 85022614845 87388835625 87721745475 89309469375 90955726875 93415651875 97228535625 99040680375 101217398625 104430649375 105871072125 108362156175 112785101325 114277708125 122158929375 122810443665 125033257125 127338017625 129002566875 136119949875 141704358075 146202909125 153683814375 157899141855 164282698125 165067800625 165860443125 168695664375 176451786875 178273224675 180603593625 187975168875 190567929825 204684072775 208388761875 212230029375 216894425625 221058798597 226866583125 232204620375 236173930125 262166506875 263165236425 280246955625 297122041125 301005989375 303652195875 313291948125 317613216375 325086468525 342833124375 366476788125 368431330995 387007700625 393623216875 425113074225 438608727375 495203401875 506086993125 529355360625 541810780875 563925506625 614052218325 625166285625 636690088125 680599749375 708521790375 731014545625 789495709275 891366123375 903017968125 939875844375 952839649125 1023420363875 1105293992985 1161023101875 1180869650625 1315826182125 1485610205625 1518260979375 1588066081875 1625432342625 1842156654975 2125565371125 2193043636875 2709053904375 2819627533125 3070261091625 3542608951875 3947478546375 4456830616875 4764198245625 5117101819375 5526469964925 6579130910625 8127161713125 9210783274875 10627826855625 15351305458125 19737392731875 27632349824625 46053916374375 138161749123125
- Sum of all divisors σ(n): 362718532915200
- Sum of proper divisors (its aliquot sum) s(n): 224556783792075
- 138161749123125 is an abundant number, because the sum of its proper divisors (224556783792075) is greater than itself. Its abundance is 86395034668950
Bases of 138161749123125
- Binary: 111110110101000010010011111101001100000001101012
- Hexadecimal: 0x7DA849FA6035
- Base-36: 1CZ2MQ73N9
Squares and roots of 138161749123125
- 138161749123125 squared (1381617491231252) is 19088668920761331706409765625
- 138161749123125 cubed (1381617491231253) is 2637323886524620360995466695781780517578125
-
The
square root of 138161749123125 is 11754222.6082002123 -
The
cube root of 138161749123125 is 51696.6745617391
Scales and comparisons
How big is 138161749123125?- 138,161,749,123,125 seconds is equal to 4,393,116 years, 13 weeks, 3 days, 13 hours, 18 minutes, 45 seconds.
-
To count from 1 to 138,161,749,123,125 would take you about ten million, nine hundred eighty-two thousand, seven hundred ninety 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 138161749123125 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138161749123125
- 138161749123125 backwards is 521321947161831
- The number of decimal digits it has is: 15
- The sum of 138161749123125's digits is 54
- More coming soon!
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"Number 138161749123125 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138161749123125 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138161749123125/
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The information we have on file for 138161749123125 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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