138384361543680
138,384,361,543,680 is an even composite number composed of seven prime numbers multiplied together.
138384361543680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138384361543680:
211 × 33 × 5 × 7 × 61 × 149 × 7867
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 61 × 149 × 7867)See below for interesting mathematical facts about the number 138384361543680 from the Numbermatics database.
Names of 138384361543680
- Cardinal: 138384361543680 can be written as One hundred thirty-eight trillion, three hundred eighty-four billion, three hundred sixty-one million, five hundred forty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3838436154368 × 1014
Factors of 138384361543680
Divisors of 138384361543680
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 61 63 64 70 72 80 84 90 96 105 108 112 120 122 126 128 135 140 144 149 160 168 180 183 189 192 210 216 224 240 244 252 256 270 280 288 298 305 315 320 336 360 366 378 384 420 427 432 447 448 480 488 504 512 540 549 560 576 596 610 630 640 672 720 732 745 756 768 840 854 864 894 896 915 945 960 976 1008 1024 1043 1080 1098 1120 1152 1192 1220 1260 1280 1281 1341 1344 1440 1464 1490 1512 1536 1647 1680 1708 1728 1788 1792 1830 1890 1920 1952 2016 2048 2086 2135 2160 2196 2235 2240 2304 2384 2440 2520 2560 2562 2682 2688 2745 2880 2928 2980 3024 3072 3129 3294 3360 3416 3456 3576 3584 3660 3780 3840 3843 3904 4023 4032 4172 4270 4320 4392 4470 4480 4608 4768 4880 5040 5120 5124 5215 5364 5376 5490 5760 5856 5960 6048 6144 6258 6405 6588 6705 6720 6832 6912 7152 7168 7320 7560 7680 7686 7808 7867 8046 8064 8235 8344 8540 8640 8784 8940 8960 9089 9216 9387 9536 9760 10080 10240 10248 10430 10728 10752 10980 11520 11529 11712 11920 12096 12516 12810 13176 13410 13440 13664 13824 14304 14336 14640 15120 15360 15372 15616 15645 15734 16092 16128 16470 16688 17080 17280 17568 17880 17920 18178 18432 18774 19072 19215 19520 20115 20160 20496 20860 21456 21504 21960 23040 23058 23424 23601 23840 24192 25032 25620 26352 26820 26880 27267 27328 27648 28161 28608 29280 30240 30720 30744 31232 31290 31468 32184 32256 32940 33376 34160 34560 35136 35760 35840 36356 37548 38144 38430 39040 39335 40230 40320 40992 41720 42912 43008 43920 45445 46080 46116 46848 46935 47202 47680 48384 50064 51240 52704 53640 53760 54534 54656 55069 55296 56322 57216 57645 58560 60480 61488 62464 62580 62936 63623 64368 64512 65880 66752 68320 69120 70272 70803 71520 71680 72712 75096 76288 76860 78080 78670 80460 80640 81801 81984 83440 85824 87840 90890 92160 92232 93696 93870 94404 95360 96768 100128 102480 105408 107280 107520 109068 109312 110138 112644 114432 115290 117120 118005 120960 122976 124928 125160 125872 127246 128736 129024 131760 133504 136335 136640 138240 140544 140805 141606 143040 145424 150192 152576 153720 156160 157340 160920 161280 163602 163968 165207 166880 171648 175680 181780 184464 187392 187740 188808 190720 190869 193536 200256 204960 210816 212409 214560 215040 218136 218624 220276 225288 228864 230580 234240 236010 241920 245403 245952 250320 251744 254492 257472 263520 267008 272670 273280 275345 276480 281088 281610 283212 286080 290848 300384 305152 307440 312320 314680 318115 321840 322560 327204 327936 330414 333760 343296 351360 354015 363560 368928 374784 375480 377616 381440 381738 387072 400512 409005 409920 421632 424818 429120 436272 437248 440552 450576 457728 461160 468480 472020 479887 483840 490806 491904 495621 500640 503488 508984 514944 527040 534016 545340 546560 550690 562176 563220 566424 572160 572607 581696 600768 614880 624640 629360 636230 643680 645120 654408 655872 660828 667520 686592 702720 708030 727120 737856 750960 755232 762880 763476 801024 818010 819840 826035 843264 849636 858240 872544 874496 881104 901152 915456 922320 936960 944040 954345 959774 967680 981612 983808 991242 1001280 1006976 1017968 1029888 1054080 1062045 1068032 1090680 1093120 1101380 1124352 1126440 1132848 1144320 1145214 1163392 1172183 1201536 1227015 1229760 1258720 1272460 1287360 1308816 1311744 1321656 1335040 1373184 1405440 1416060 1439661 1454240 1475712 1486863 1501920 1510464 1525760 1526952 1602048 1636020 1639680 1652070 1686528 1699272 1716480 1717821 1745088 1762208 1802304 1844640 1873920 1888080 1908690 1919548 1935360 1963224 1967616 1982484 2002560 2013952 2035936 2059776 2108160 2124090 2136064 2181360 2186240 2202760 2252880 2265696 2288640 2290428 2326784 2344366 2399435 2403072 2454030 2459520 2478105 2517440 2544920 2574720 2617632 2623488 2643312 2670080 2746368 2810880 2832120 2863035 2879322 2908480 2951424 2973726 3003840 3020928 3053904 3204096 3272040 3279360 3304140 3359209 3373056 3398544 3432960 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181397286 183234240 184276608 187549280 190318464 195449856 196926744 201552540 207311184 209410560 210992940 211464960 214509489 214989376 217506816 219881088 221542587 225059136 230345760 237898080 241674240 241863048 244312320 245702144 246158430 251292672 253191528 253757952 259138980 262568992 268736720 271883520 274851360 276414912 279214080 281323920 281953280 286012652 288368640 293174784 295390116 300078848 302328810 307127680 314115840 316489410 317197440 322484064 325749760 328211240 337588704 338343936 345518640 357515815 362511360 362794572 366468480 368553216 369237645 375098560 380636928 390899712 393853488 403105080 414622368 418821120 421985880 422929920 429018978 429978752 435013632 439762176 443085174 450118272 453493215 460691520 475796160 483726096 488624640 491404288 492316860 500522141 502585344 506383056 507515904 518277960 525137984 537473440 543767040 549702720 552829824 562647840 563906560 572025304 586349568 590780232 600157696 604657620 614255360 628231680 632978820 634394880 643528467 644968128 651499520 656422480 675177408 691037280 715031630 725022720 725589144 732936960 737106432 738475290 750197120 761273856 787706976 806210160 829244736 837642240 843971760 845859840 858037956 859957504 879524352 886170348 900236544 906986430 921383040 951592320 967452192 977249280 982808576 984633720 1001044282 1012766112 1015031808 1036555920 1050275968 1072547445 1074946880 1087534080 1099405440 1105659648 1107712935 1125295680 1144050608 1172699136 1181560464 1200315392 1209315240 1228510720 1256463360 1265957640 1268789760 1287056934 1289936256 1312844960 1350354816 1382074560 1430063260 1451178288 1465873920 1474212864 1476950580 1500394240 1501566423 1522547712 1575413952 1612420320 1658489472 1687943520 1691719680 1716075912 1719915008 1759048704 1772340696 1800473088 1813972860 1842766080 1903184640 1930585401 1934904384 1954498560 1969267440 2002088564 2025532224 2073111840 2100551936 2145094890 2149893760 2175068160 2198810880 2211319296 2215425870 2250591360 2288101216 2363120928 2400630784 2418630480 2457021440 2502610705 2512926720 2531915280 2537579520 2574113868 2579872512 2625689920 2700709632 2764149120 2860126520 2902356576 2931747840 2948425728 2953901160 3000788480 3003132846 3045095424 3150827904 3217642335 3224840640 3316978944 3375887040 3432151824 3439830016 3518097408 3544681392 3600946176 3627945720 3685532160 3806369280 3861170802 3869808768 3938534880 4004177128 4051064448 4146223680 4201103872 4290189780 4299787520 4397621760 4422638592 4430851740 4501182720 4504699269 4576202432 4726241856 4837260960 4914042880 5005221410 5063830560 5075159040 5148227736 5159745024 5251379840 5401419264 5528298240 5720253040 5804713152 5863495680 5907802320 6001576960 6006265692 6301655808 6435284670 6449681280 6633957888 6751774080 6864303648 6879660032 7089362784 7201892352 7255891440 7371064320 7507832115 7612738560 7722341604 7739617536 7877069760 8008354256 8102128896 8292447360 8402207744 8580379560 8599575040 8795243520 8845277184 8861703480 9002365440 9009398538 9152404864 9452483712 9652927005 9674521920 10010442820 10127661120 10296455472 10319490048 10502759680 10802838528 11056596480 11440506080 11609426304 11815604640 12003153920 12012531384 12603311616 12870569340 12899362560 13267915776 13503548160 13514097807 13728607296 14178725568 14511782880 14742128640 15015664230 15225477120 15444683208 15479235072 15754139520 16016708512 16204257792 16584894720 16804415488 17160759120 17199150080 17590487040 17723406960 18004730880 18018797076 18304809728 18904967424 19305854010 19349043840 20020885640 20255322240 20592910944 20638980096 21005519360 21605677056 22113192960 22523496345 22881012160 23218852608 23631209280 24025062768 25206623232 25741138680 25798725120 26535831552 27007096320 27028195614 27457214592 28357451136 29023565760 30031328460 30889366416 30958470144 31508279040 32033417024 32408515584 33169789440 34321518240 34398300160 35446813920 36009461760 36037594152 36609619456 37809934848 38611708020 38698087680 40041771280 40510644480 41185821888 42011038720 44226385920 45046992690 45762024320 46437705216 47262418560 48050125536 50413246464 51482277360 51597450240 54014192640 54056391228 54914429184 56714902272 58047131520 60062656920 61778732832 61916940288 63016558080 64066834048 64817031168 66339578880 67570489035 68643036480 70893627840 72075188304 73219238912 75619869696 77223416040 77396175360 80083542560 81021288960 82371643776 84022077440 90093985380 91524048640 92875410432 94524837120 96100251072 102964554720 103194900480 108028385280 108112782456 109828858368 113429804544 116094263040 120125313840 123557465664 126033116160 128133668096 132679157760 135140978070 137286072960 141787255680 144150376608 146438477824 151239739392 154446832080 154792350720 160167085120 162042577920 164743287552 180187970760 183048097280 185750820864 189049674240 192200502144 205929109440 216225564912 219657716736 226859609088 232188526080 240250627680 247114931328 252066232320 256267336192 270281956140 274572145920 283574511360 288300753216 308893664160 309584701440 320334170240 324085155840 329486575104 360375941520 366096194560 378099348480 384401004288 411858218880 432451129824 439315433472 453719218176 464377052160 480501255360 494229862656 512534672384 540563912280 549144291840 567149022720 576601506432 617787328320 640668340480 658973150208 720751883040 732192389120 756198696960 768802008576 823716437760 864902259648 928754104320 961002510720 988459725312 1025069344768 1081127824560 1098288583680 1134298045440 1153203012864 1235574656640 1281336680960 1317946300416 1441503766080 1537604017152 1647432875520 1729804519296 1922005021440 1976919450624 2162255649120 2196577167360 2268596090880 2306406025728 2471149313280 2562673361920 2883007532160 3075208034304 3294865751040 3459609038592 3844010042880 3953838901248 4324511298240 4612812051456 4942298626560 5125346723840 5766015064320 6589731502080 6919218077184 7688020085760 8649022596480 9225624102912 9884597253120 11532030128640 13838436154368 15376040171520 17298045192960 19769194506240 23064060257280 27676872308736 34596090385920 46128120514560 69192180771840 138384361543680
- Sum of all divisors σ(n): 575310677760000
- Sum of proper divisors (its aliquot sum) s(n): 436926316216320
- 138384361543680 is an abundant number, because the sum of its proper divisors (436926316216320) is greater than itself. Its abundance is 298541954672640
Bases of 138384361543680
- Binary: 111110111011100000111101011011001011000000000002
- Hexadecimal: 0x7DDC1EB65800
- Base-36: 1D1WWBVUO0
Squares and roots of 138384361543680
- 138384361543680 squared (1383843615436802) is 19150231519851940072547942400
- 138384361543680 cubed (1383843615436803) is 2650092562288367414262943429531671724032000
-
The
square root of 138384361543680 is 11763688.2627720121 -
The
cube root of 138384361543680 is 51724.4249980943
Scales and comparisons
How big is 138384361543680?- 138,384,361,543,680 seconds is equal to 4,400,194 years, 33 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 138,384,361,543,680 would take you about eleven million, four hundred eighty-six 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 138384361543680 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138384361543680
- 138384361543680 backwards is 086345163483831
- 138384361543680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138384361543680's digits is 63
- More coming soon!
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"Number 138384361543680 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138384361543680 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138384361543680/
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The information we have on file for 138384361543680 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 138384361543680, math, Factors of 138384361543680, curriculum, school, college, exams, university, Prime factorization of 138384361543680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty-four billion, three hundred sixty-one million, five hundred forty-three thousand, six hundred eighty.