138113781761124000
138,113,781,761,124,000 is an even composite number composed of five prime numbers multiplied together.
138113781761124000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138113781761124000:
25 × 36 × 53 × 132 × 167412
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 16741 × 16741)See below for interesting mathematical facts about the number 138113781761124000 from the Numbermatics database.
Names of 138113781761124000
- Cardinal: 138113781761124000 can be written as One hundred thirty-eight quadrillion, one hundred thirteen trillion, seven hundred eighty-one billion, seven hundred sixty-one million, one hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38113781761124 × 1017
Factors of 138113781761124000
Divisors of 138113781761124000
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 65 72 75 78 80 81 90 96 100 104 108 117 120 125 130 135 144 150 156 160 162 169 180 195 200 208 216 225 234 240 243 250 260 270 288 300 312 324 325 338 351 360 375 390 400 405 416 432 450 468 480 486 500 507 520 540 585 600 624 648 650 675 676 702 720 729 750 780 800 810 845 864 900 936 972 975 1000 1014 1040 1053 1080 1125 1170 1200 1215 1248 1296 1300 1350 1352 1404 1440 1458 1500 1521 1560 1620 1625 1690 1755 1800 1872 1944 1950 2000 2025 2028 2080 2106 2160 2250 2340 2400 2430 2535 2592 2600 2700 2704 2808 2916 2925 3000 3042 3120 3159 3240 3250 3375 3380 3510 3600 3645 3744 3888 3900 4000 4050 4056 4212 4225 4320 4500 4563 4680 4860 4875 5070 5200 5265 5400 5408 5616 5832 5850 6000 6075 6084 6240 6318 6480 6500 6750 6760 7020 7200 7290 7605 7776 7800 8100 8112 8424 8450 8775 9000 9126 9360 9477 9720 9750 10125 10140 10400 10530 10800 11232 11664 11700 12000 12150 12168 12636 12675 12960 13000 13500 13520 13689 14040 14580 14625 15210 15600 15795 16200 16224 16741 16848 16900 17550 18000 18225 18252 18720 18954 19440 19500 20250 20280 21060 21125 21600 22815 23328 23400 24300 24336 25272 25350 26000 26325 27000 27040 27378 28080 29160 29250 30375 30420 31200 31590 32400 33482 33696 33800 35100 36000 36450 36504 37908 38025 38880 39000 40500 40560 41067 42120 42250 43875 45630 46800 47385 48600 48672 50223 50544 50700 52000 52650 54000 54756 56160 58320 58500 60750 60840 63180 63375 64800 66964 67600 68445 70200 72900 73008 75816 76050 78000 78975 81000 81120 82134 83705 84240 84500 87750 91125 91260 93600 94770 97200 100446 101088 101400 105300 108000 109512 114075 116640 117000 121500 121680 123201 126360 126750 131625 133928 135200 136890 140400 145800 146016 150669 151632 152100 156000 157950 162000 164268 167410 168480 169000 175500 182250 182520 189540 190125 194400 200892 202800 205335 210600 217633 219024 228150 234000 236925 243000 243360 246402 251115 252720 253500 263250 267856 273780 280800 291600 301338 303264 304200 315900 324000 328536 334820 338000 342225 351000 364500 365040 379080 380250 394875 401784 405600 410670 418525 421200 435266 438048 452007 456300 468000 473850 486000 492804 502230 505440 507000 526500 535712 547560 570375 583200 602676 608400 616005 631800 652899 657072 669640 676000 684450 702000 729000 730080 753345 758160 760500 789750 803568 821340 837050 842400 870532 904014 912600 947700 972000 985608 1004460 1014000 1026675 1053000 1088165 1095120 1140750 1184625 1205352 1216800 1232010 1255575 1263600 1305798 1314144 1339280 1356021 1368900 1404000 1458000 1506690 1516320 1521000 1579500 1607136 1642680 1674100 1711125 1741064 1808028 1825200 1895400 1958697 1971216 2008920 2028000 2053350 2092625 2106000 2176330 2190240 2260035 2281500 2369250 2410704 2464020 2511150 2527200 2611596 2678560 2712042 2737800 2829229 2916000 3013380 3042000 3080025 3159000 3264495 3285360 3348200 3422250 3482128 3616056 3650400 3766725 3790800 3917394 3942432 4017840 4068063 4106700 4185250 4212000 4352660 4520070 4563000 4738500 4821408 4928040 5022300 5133375 5223192 5424084 5440825 5475600 5658458 5876091 6026760 6084000 6160050 6277875 6318000 6528990 6570720 6696400 6780105 6844500 6964256 7232112 7533450 7581600 7834788 8035680 8136126 8213400 8370500 8487687 8705320 9040140 9126000 9477000 9793485 9856080 10044600 10266750 10446384 10848168 10881650 10951200 11300175 11316916 11752182 12053520 12204189 12320100 12555750 12636000 13057980 13392800 13560210 13689000 14146145 14464224 15066900 15400125 15669576 16272252 16322475 16426800 16741000 16975374 17410640 17628273 18080280 18252000 18833625 18954000 19586970 19712160 20089200 20340315 20533500 20892768 21696336 21763300 22600350 22633832 23504364 24107040 24408378 24640200 25111500 25463061 26115960 27120420 27204125 27378000 28292290 29380455 30133800 30800250 31339152 32544504 32644950 32853600 33482000 33900525 33950748 34821280 35256546 36160560 37667250 37908000 39173940 40178400 40680630 41067000 42438435 43392672 43526600 45200700 45267664 47008728 48816756 48967425 49280400 50223000 50926122 52231920 52884819 54240840 54408250 54756000 56500875 56584580 58760910 60267600 61020945 61600500 62678304 65089008 65289900 66964000 67801050 67901496 70513092 70730725 72321120 75334500 76389183 78347880 81361260 81612375 82134000 84876870 87053200 88141365 90401400 90535328 94017456 97633512 97934850 98560800 100446000 101701575 101852244 104463840 105769638 108481680 108816500 113001750 113169160 117521820 120535200 122041890 123201000 127315305 130178016 130579800 135602100 135802992 141026184 141461450 146902275 150669000 152778366 156695760 158654457 162722520 163224750 164268000 169502625 169753740 174106400 176282730 180802800 188034912 195267024 195869700 200892000 203403150 203704488 211539276 212192175 216963360 217633000 226003500 226338320 229167549 235043640 244083780 244837125 246402000 254630610 261159600 264424095 271204200 271605984 280261081 282052368 282922900 293804550 301338000 305104725 305556732 313391520 317308914 325445040 326449500 339005250 339507480 352565460 353653625 361605600 381945915 390534048 391739400 406806300 407408976 423078552 424384350 435266000 440706825 452007000 452676640 458335098 470087280 488167560 489674250 492804000 508507875 509261220 522319200 528848190 542408400 560522162 564104736 565845800 587609100 602676000 610209450 611113464 634617828 636576525 650890080 652899000 678010500 679014960 687502647 705130920 707307250 734511375 763891830 783478800 793272285 813612600 814817952 840783243 846157104 848768700 870532000 881413650 904014000 916670196 940174560 976335120 979348500 1017015750 1018522440 1057696380 1060960875 1084816800 1121044324 1131691600 1145837745 1175218200 1220418900 1222226928 1269235656 1273153050 1305798000 1322120475 1356021000 1358029920 1375005294 1401305405 1410261840 1414614500 1469022750 1525523625 1527783660 1566957600 1586544570 1627225200 1681566486 1692314208 1697537400 1762827300 1808028000 1833340392 1909729575 1952670240 1958697000 2034031500 2037044880 2062507941 2115392760 2121921750 2203534125 2242088648 2263383200 2291675490 2350436400 2440837800 2444453856 2522349729 2538471312 2546306100 2611596000 2644240950 2712042000 2750010588 2802610810 2820523680 2829229000 2938045500 3051047250 3055567320 3173089140 3182882625 3254450400 3363132972 3395074800 3437513235 3525654600 3643394053 3666680784 3819459150 3917394000 3966361425 4068063000 4074089760 4125015882 4203916215 4230785520 4243843500 4407068250 4484177296 4583350980 4700872800 4881675600 5044699458 5076942624 5092612200 5288481900 5424084000 5500021176 5605221620 5658458000 5729188725 5876091000 6102094500 6111134640 6346178280 6365765250 6610602375 6726265944 6790149600 6875026470 7006527025 7051309200 7286788106 7333361568 7567049187 7638918300 7834788000 7932722850 8136126000 8250031764 8407832430 8461571040 8487687000 8814136500 8968354592 9166701960 9548647875 9763351200 10089398916 10185224400 10312539705 10576963800 10930182159 11000042352 11210443240 11316916000 11458377450 11752182000 12204189000 12222269280 12611748645 12692356560 12731530500 13221204750 13452531888 13750052940 14013054050 14102618400 14573576212 15134098374 15277836600 15865445700 16272252000 16500063528 16815664860 16975374000 17187566175 17628273000 18216970265 18333403920 19097295750 19831807125 20178797832 20370448800 20625079410 21019581075 21153927600 21860364318 22000084704 22420886480 22701147561 22916754900 23504364000 24408378000 25223497290 25384713120 25463061000 26442409500 26905063776 27500105880 28026108100 28645943625 29147152424 30268196748 30555673200 31730891400 32790546477 33000127056 33631329720 33950748000 34375132350 35032635125 35256546000 36433940530 36666807840 37835245935 38194591500 39663614250 40357595664 41250158820 42039162150 42307855200 43720728636 44841772960 45402295122 45833509800 47364122689 48816756000 50446994580 50926122000 51562698525 52884819000 54650910795 55000211760 56052216200 57291887250 58294304848 60536393496 61111346400 63058743225 63461782800 65581092954 66000254112 67262659440 68103442683 68750264700 70065270250 70513092000 72867881060 75670491870 76389183000 79327228500 80715191328 82500317640 84078324300 85937830875 87441457272 90804590244 91084851325 91667019600 94728245378 98371639431 100893989160 101852244000 103125397050 105097905375 105769638000 109301821590 110000423520 112104432400 113505737805 114583774500 116588609696 121072786992 126117486450 126923565600 131162185908 134525318880 136206885366 137500529400 140130540500 142092368067 145735762120 151340983740 152778366000 158654457000 163952732385 165000635280 168156648600 171875661750 174882914544 181609180488 182169702650 183334039200 189176229675 189456490756 196743278862 201787978320 204310328049 206250794100 210195810750 211539276000 218603643180 224208864800 227011475610 229167549000 236820613445 242145573984 252234972900 257813492625 262324371816 272413770732 273254553975 275001058800 280261081000 284184736134 291471524240 295114918293 302681967480 305556732000 315293716125 317308914000 327905464770 330001270560 336313297200 340517213415 343751323500 349765829088 363218360976 364339405300 378352459350 378912981512 393486557724 403575956640 408620656098 412501588200 420391621500 426277104201 437207286360 454022951220 455424256625 458335098000 473641226890 491858197155 504469945800 515626985250 524648743632 544827541464 546509107950 550002117600 560522162000 567528689025 568369472268 582943048480 590229836586 605363934960 630587432250 634617828000 655810929540 672626594400 681034426830 687502647000 710461840335 726436721952 728678810600 756704918700 757825963024 786973115448 817241312196 819763661925 825003176400 840783243000 852554208402 874414572720 885344754879 908045902440 910848513250 916670196000 945881148375 947282453780 983716394310 1008939891600 1021551640245 1031253970500 1049297487264 1089655082928 1093018215900 1121044324000 1135057378050 1136738944536 1180459673172 1184103067225 1210727869920 1261174864500 1278831312603 1311621859080 1362068853660 1366272769875 1375005294000 1420923680670 1457357621200 1475574591465 1513409837400 1515651926048 1573946230896 1634482624392 1639527323850 1650006352800 1681566486000 1702586067075 1705108416804 1748829145440 1770689509758 1816091804880 1821697026500 1891762296750 1894564907560 1967432788620 2017879783200 2043103280490 2062507941000 2131385521005 2179310165856 2186036431800 2270114756100 2273477889072 2360919346344 2368206134450 2459290985775 2522349729000 2557662625206 2623243718160 2656034264637 2724137707320 2732545539750 2750010588000 2837643445125 2841847361340 2914715242400 2951149182930 3026819674800 3147892461792 3268965248784 3279054647700 3363132972000 3405172134150 3410216833608 3541379019516 3552309201675 3632183609760 3643394053000 3783524593500 3789129815120 3836493937809 3934865577240 4086206560980 4098818309625 4125015882000 4262771042010 4372072863600 4426723774395 4540229512200 4546955778144 4721838692688 4736412268900 4918581971550 5044699458000 5107758201225 5115325250412 5246487436320 5312068529274 5448275414640 5465091079500 5675286890250 5683694722680 5902298365860 5920515336125 6053639349600 6394156563015 6537930497568 6558109295400 6810344268300 6820433667216 7082758039032 7104618403350 7286788106000 7377872957325 7567049187000 7578259630240 7672987875618 7869731154480 8172413121960 8197636619250 8250031764000 8512930335375 8525542084020 8744145727200 8853447548790 9080459024400 9443677385376 9472824537800 9837163943100 10089398916000 10215516402450 10230650500824 10624137058548 10656927605025 10896550829280 10930182159000 11350573780500 11367389445360 11509481813427 11804596731720 11841030672250 12296454928875 12788313126030 13116218590800 13280171323185 13620688536600 13640867334432 14165516078064 14209236806700 14573576212000 14755745914650 15134098374000 15345975751236 15739462308960 16344826243920 16395273238500 17025860670750 17051084168040 17706895097580 17761546008375 18160918048800 18945649075600 19182469689045 19674327886200 20431032804900 20461301001648 21248274117096 21313855210050 21860364318000 22133618871975 22701147561000 22734778890720 23018963626854 23609193463440 23682061344500 24592909857750 25538791006125 25576626252060 26232437181600 26560342646370 27241377073200 28331032156128 28418473613400 29511491829300 30268196748000 30691951502472 31970782815075 32689652487840 32790546477000 34051721341500 34102168336080 34528445440281 35413790195160 35523092016750 36889364786625 37891298151200 38364939378090 39348655772400 40862065609800 40922602003296 42496548234192 42627710420100 43720728636000 44267237743950 45402295122000 46037927253708 47218386926880 47364122689000 49185819715500 51077582012250 51153252504120 53120685292740 53284638025125 54482754146400 56836947226800 57547409067135 59022983658600 61383903004944 63941565630150 65581092954000 66400856615925 68103442683000 68204336672160 69056890880562 70827580390320 71046184033500 73778729573250 76729878756180 78697311544800 81724131219600 84993096468384 85255420840200 88534475487900 90804590244000 92075854507416 94728245378000 95912348445225 98371639431000 102155164024500 102306505008240 106241370585480 106569276050250 110668094359875 113673894453600 115094818134270 118045967317200 122767806009888 127883131260300 131162185908000 132801713231850 136206885366000 138113781761124 141655160780640 142092368067000 147557459146500 153459757512360 159853914075375 163448262439200 170510841680400 172642227201405 177068950975800 184151709014832 189456490756000 191824696890450 196743278862000 204310328049000 204613010016480 212482741170960 213138552100500 221336188719750 230189636268540 236091934634400 255766262520600 265603426463700 272413770732000 276227563522248 284184736134000 287737045335675 295114918293000 306919515024720 319707828150750 332004283079625 341021683360800 345284454402810 354137901951600 368303418029664 383649393780900 393486557724000 408620656098000 424965482341920 426277104201000 442672377439500 460379272537080 479561742226125 511532525041200 531206852927400 552455127044496 568369472268000 575474090671350 590229836586000 613839030049440 639415656301500 664008566159250 690568908805620 708275803903200 767298787561800 817241312196000 852554208402000 863211136007025 885344754879000 920758545074160 959123484452250 1023065050082400 1062413705854800 1104910254088992 1150948181342700 1180459673172000 1278831312603000 1328017132318500 1381137817611240 1438685226678375 1534597575123600 1705108416804000 1726422272014050 1770689509758000 1841517090148320 1918246968904500 2124827411709600 2301896362685400 2557662625206000 2656034264637000 2762275635222480 2877370453356750 3069195150247200 3452844544028100 3541379019516000 3836493937809000 4316055680035125 4603792725370800 5115325250412000 5312068529274000 5524551270444960 5754740906713500 6905689088056200 7672987875618000 8632111360070250 9207585450741600 10624137058548000 11509481813427000 13811378176112400 15345975751236000 17264222720140500 23018963626854000 27622756352224800 34528445440281000 46037927253708000 69056890880562000 138113781761124000
- Sum of all divisors σ(n): 550966425727244436
- Sum of proper divisors (its aliquot sum) s(n): 412852643966120436
- 138113781761124000 is an abundant number, because the sum of its proper divisors (412852643966120436) is greater than itself. Its abundance is 274738862204996436
Bases of 138113781761124000
- Binary: 1111010101010110111000000101101000111010100100110101000002
- Hexadecimal: 0x1EAADC0B47526A0
- Base-36: 11RX8ZF8EI00
Squares and roots of 138113781761124000
- 138113781761124000 squared (1381137817611240002) is 19075416712359388478997743376000000
- 138113781761124000 cubed (1381137817611240003) is 2634577940813302043460044624815743085314624000000000
-
The
square root of 138113781761124000 is 371636625.9683294455 -
The
cube root of 138113781761124000 is 516906.9113977243
Scales and comparisons
How big is 138113781761124000?- 138,113,781,761,124,000 seconds is equal to 4,391,591,046 years, 1 week, 2 days, 18 hours.
-
To count from 1 to 138,113,781,761,124,000 would take you about thirteen billion, one hundred seventy-four million, seven hundred seventy-three thousand, one hundred thirty-eight 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 138113781761124000 cubic inches would be around 43075.6 feet tall.
Recreational maths with 138113781761124000
- 138113781761124000 backwards is 000421167187311831
- 138113781761124000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138113781761124000's digits is 54
- More coming soon!
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"Number 138113781761124000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138113781761124000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138113781761124000/
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The information we have on file for 138113781761124000 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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