138380143288320
138,380,143,288,320 is an even composite number composed of five prime numbers multiplied together.
What does the number 138380143288320 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1176 divisors.
138380143288320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy-six divisors.
Prime factorization of 138380143288320:
213 × 36 × 5 × 67 × 2632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 67 × 263 × 263)See below for interesting mathematical facts about the number 138380143288320 from the Numbermatics database.
Names of 138380143288320
- Cardinal: 138380143288320 can be written as One hundred thirty-eight trillion, three hundred eighty billion, one hundred forty-three million, two hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3838014328832 × 1014
Factors of 138380143288320
Divisors of 138380143288320
- Number of divisors d(n): 1176
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 67 72 80 81 90 96 108 120 128 134 135 144 160 162 180 192 201 216 240 243 256 263 268 270 288 320 324 335 360 384 402 405 432 480 486 512 526 536 540 576 603 640 648 670 720 729 768 789 804 810 864 960 972 1005 1024 1052 1072 1080 1152 1206 1215 1280 1296 1315 1340 1440 1458 1536 1578 1608 1620 1728 1809 1920 1944 2010 2048 2104 2144 2160 2304 2367 2412 2430 2560 2592 2630 2680 2880 2916 3015 3072 3156 3216 3240 3456 3618 3645 3840 3888 3945 4020 4096 4208 4288 4320 4608 4734 4824 4860 5120 5184 5260 5360 5427 5760 5832 6030 6144 6312 6432 6480 6912 7101 7236 7290 7680 7776 7890 8040 8192 8416 8576 8640 9045 9216 9468 9648 9720 10240 10368 10520 10720 10854 11520 11664 11835 12060 12288 12624 12864 12960 13824 14202 14472 14580 15360 15552 15780 16080 16281 16832 17152 17280 17621 18090 18432 18936 19296 19440 20480 20736 21040 21303 21440 21708 23040 23328 23670 24120 24576 25248 25728 25920 27135 27648 28404 28944 29160 30720 31104 31560 32160 32562 33664 34304 34560 35242 35505 36180 36864 37872 38592 38880 40960 41472 42080 42606 42880 43416 46080 46656 47340 48240 48843 50496 51456 51840 52863 54270 55296 56808 57888 58320 61440 62208 63120 63909 64320 65124 67328 68608 69120 69169 70484 71010 72360 73728 75744 77184 77760 81405 82944 84160 85212 85760 86832 88105 92160 93312 94680 96480 97686 100992 102912 103680 105726 106515 108540 110592 113616 115776 116640 122880 124416 126240 127818 128640 130248 134656 137216 138240 138338 140968 142020 144720 151488 154368 155520 158589 162810 165888 168320 170424 171520 173664 176210 184320 186624 189360 191727 192960 195372 201984 205824 207360 207507 211452 213030 217080 221184 227232 231552 233280 244215 248832 252480 255636 257280 260496 264315 269312 274432 276480 276676 281936 284040 289440 302976 308736 311040 317178 319545 325620 331776 336640 340848 343040 345845 347328 352420 368640 373248 378720 383454 385920 390744 403968 411648 414720 415014 422904 426060 434160 454464 463104 466560 475767 488430 497664 504960 511272 514560 520992 528630 538624 548864 552960 553352 563872 568080 578880 605952 617472 622080 622521 634356 639090 651240 663552 673280 681696 686080 691690 694656 704840 746496 757440 766908 771840 781488 792945 807936 823296 829440 830028 845808 852120 868320 908928 926208 933120 951534 958635 976860 995328 1009920 1022544 1029120 1037535 1041984 1057260 1077248 1105920 1106704 1127744 1136160 1157760 1211904 1234944 1244160 1245042 1268712 1278180 1302480 1346560 1363392 1372160 1383380 1389312 1409680 1427301 1492992 1514880 1533816 1543680 1562976 1585890 1615872 1646592 1658880 1660056 1691616 1704240 1736640 1817856 1852416 1866240 1867563 1903068 1917270 1953720 1990656 2019840 2045088 2058240 2075070 2083968 2114520 2154496 2213408 2255488 2272320 2315520 2378835 2423808 2469888 2488320 2490084 2537424 2556360 2604960 2693120 2726784 2744320 2766760 2778624 2819360 2854602 2985984 3029760 3067632 3087360 3112605 3125952 3171780 3231744 3317760 3320112 3383232 3408480 3473280 3635712 3704832 3732480 3735126 3806136 3834540 3907440 4039680 4090176 4116480 4150140 4167936 4229040 4281903 4426816 4510976 4544640 4631040 4634323 4757670 4847616 4939776 4976640 4980168 5074848 5112720 5209920 5386240 5453568 5533520 5557248 5602689 5638720 5709204 5971968 6059520 6135264 6174720 6225210 6251904 6343560 6463488 6640224 6766464 6816960 6946560 7136505 7271424 7409664 7464960 7470252 7612272 7669080 7814880 8079360 8180352 8232960 8300280 8335872 8458080 8563806 8853632 9021952 9089280 9262080 9268646 9337815 9515340 9695232 9953280 9960336 10149696 10225440 10419840 10772480 10907136 11067040 11114496 11205378 11277440 11418408 12119040 12270528 12349440 12450420 12503808 12687120 12845709 13280448 13532928 13633920 13893120 13902969 14273010 14542848 14819328 14929920 14940504 15224544 15338160 15629760 16158720 16360704 16600560 16671744 16808067 16916160 17127612 17707264 18043904 18178560 18524160 18537292 18675630 19030680 19390464 19920672 20299392 20450880 20839680 21409515 21814272 22134080 22228992 22410756 22554880 22836816 23171615 24238080 24541056 24698880 24900840 25007616 25374240 25691418 26560896 27065856 27267840 27786240 27805938 28013445 28546020 29085696 29859840 29881008 30449088 30676320 31259520 32317440 32721408 33201120 33343488 33616134 33832320 34255224 35414528 36087808 36357120 37048320 37074584 37351260 38061360 39841344 40598784 40901760 41679360 41708907 42819030 43628544 44268160 44457984 44821512 45109760 45673632 46343230 48476160 49082112 49801680 50015232 50424201 50748480 51382836 53121792 54131712 54535680 55572480 55611876 56026890 57092040 58171392 59762016 60898176 61352640 62519040 64228545 65442816 66402240 66686976 67232268 67664640 68510448 69514845 70829056 72175616 72714240 74096640 74149168 74702520 76122720 79682688 81197568 81803520 83358720 83417814 84040335 85638060 87257088 88536320 89643024 90219520 91347264 92686460 96952320 98164224 99603360 100030464 100848402 101496960 102765672 106243584 108263424 109071360 111144960 111223752 112053780 114184080 119524032 121796352 122705280 125038080 125126721 128457090 130885632 132804480 133373952 134464536 135329280 137020896 139029690 141658112 144351232 145428480 148298336 149405040 152245440 159365376 162395136 163607040 166717440 166835628 168080670 171276120 174514176 177072640 179286048 180439040 182694528 185372920 196328448 199206720 200060928 201696804 202993920 205531344 208544535 212487168 216526848 218142720 222289920 222447504 224107560 228368160 239048064 243592704 245410560 250076160 250253442 252121005 256914180 261771264 265608960 268929072 270658560 274041792 278059380 283316224 290856960 296596672 298810080 304490880 318730752 324790272 327214080 333434880 333671256 336161340 342552240 354145280 358572096 360878080 365389056 370745840 375380163 392656896 398413440 400121856 403393608 405987840 411062688 417089070 424974336 433053696 436285440 444895008 448215120 456736320 478096128 487185408 490821120 500152320 500506884 504242010 513828360 523542528 531217920 537858144 541317120 548083584 556118760 566632448 593193344 597620160 608981760 625633605 637461504 649580544 654428160 666869760 667342512 672322680 685104480 708290560 717144192 721756160 730778112 741491680 750760326 785313792 796826880 806787216 811975680 822125376 834178140 849948672 872570880 889790016 896430240 913472640 956192256 974370816 981642240 1000304640 1001013768 1008484020 1027656720 1062435840 1075716288 1082634240 1096167168 1112237520 1126140489 1186386688 1195240320 1217963520 1251267210 1274923008 1299161088 1308856320 1334685024 1344645360 1370208960 1416581120 1434288384 1461556224 1482983360 1501520652 1570627584 1593653760 1613574432 1623951360 1644250752 1668356280 1699897344 1779580032 1792860480 1826945280 1876900815 1912384512 1948741632 1963284480 2000609280 2002027536 2016968040 2055313440 2124871680 2151432576 2165268480 2192334336 2224475040 2252280978 2372773376 2390480640 2435927040 2502534420 2549846016 2617712640 2669370048 2689290720 2740417920 2833162240 2868576768 2923112448 2965966720 3003041304 3187307520 3227148864 3247902720 3288501504 3336712560 3378421467 3559160064 3585720960 3653890560 3753801630 3824769024 3897483264 3926568960 4004055072 4033936080 4110626880 4249743360 4302865152 4384668672 4448950080 4504561956 4745546752 4780961280 4871854080 5005068840 5099692032 5338740096 5378581440 5480835840 5630702445 5737153536 5846224896 5931933440 6006082608 6374615040 6454297728 6495805440 6577003008 6673425120 6756842934 7118320128 7171441920 7307781120 7507603260 7649538048 7853137920 8008110144 8067872160 8221253760 8499486720 8605730304 8769337344 8897900160 9009123912 9491093504 9561922560 9743708160 10010137680 10677480192 10757162880 10961671680 11261404890 11474307072 11692449792 11863866880 12012165216 12749230080 12908595456 13154006016 13346850240 13513685868 14236640256 14342883840 14615562240 15015206520 15299076096 16016220288 16135744320 16442507520 16892107335 17211460608 17538674688 17795800320 18018247824 18982187008 19123845120 19487416320 20020275360 21354960384 21514325760 21923343360 22522809780 22948614144 23727733760 24024330432 25498460160 25817190912 26308012032 26693700480 27027371736 28473280512 28685767680 29231124480 30030413040 32032440576 32271488640 32885015040 33784214670 34422921216 35077349376 35591600640 36036495648 37964374016 38247690240 40040550720 42709920768 43028651520 43846686720 45045619560 45897228288 47455467520 48048660864 51634381824 52616024064 53387400960 54054743472 56946561024 57371535360 58462248960 60060826080 64064881152 64542977280 65770030080 67568429340 68845842432 71183201280 72072991296 76495380480 80081101440 85419841536 86057303040 87693373440 90091239120 94910935040 96097321728 103268763648 105232048128 106774801920 108109486944 113893122048 114743070720 120121652160 128129762304 129085954560 131540060160 135136858680 137691684864 142366402560 144145982592 160162202880 170839683072 172114606080 175386746880 180182478240 189821870080 192194643456 206537527296 213549603840 216218973888 229486141440 240243304320 256259524608 258171909120 263080120320 270273717360 284732805120 288291965184 320324405760 341679366144 344229212160 360364956480 384389286912 413075054592 427099207680 432437947776 480486608640 512519049216 516343818240 526160240640 540547434720 569465610240 576583930368 640648811520 688458424320 720729912960 768778573824 854198415360 864875895552 960973217280 1025038098432 1032687636480 1081094869440 1153167860736 1281297623040 1441459825920 1537557147648 1708396830720 1729751791104 1921946434560 2065375272960 2162189738880 2306335721472 2562595246080 2882919651840 3075114295296 3459503582208 3843892869120 4324379477760 4612671442944 5125190492160 5765839303680 6919007164416 7687785738240 8648758955520 9225342885888 11531678607360 13838014328832 15375571476480 17297517911040 23063357214720 27676028657664 34595035822080 46126714429440 69190071644160 138380143288320
- Sum of all divisors σ(n): 507270593027016
- Sum of proper divisors (its aliquot sum) s(n): 368890449738696
- 138380143288320 is an abundant number, because the sum of its proper divisors (368890449738696) is greater than itself. Its abundance is 230510306450376
Bases of 138380143288320
- Binary: 111110111011011001000110100100011100000000000002
- Hexadecimal: 0x7DDB2348E000
- Base-36: 1D1UYKG000
Squares and roots of 138380143288320
- 138380143288320 squared (1383801432883202) is 19149064056495974742648422400
- 138380143288320 cubed (1383801432883203) is 2649850227975131212580996328236796346368000
-
The
square root of 138380143288320 is 11763508.9700446099 -
The
cube root of 138380143288320 is 51723.8994352163
Scales and comparisons
How big is 138380143288320?- 138,380,143,288,320 seconds is equal to 4,400,060 years, 26 weeks, 6 days, 19 hours, 12 minutes.
-
To count from 1 to 138,380,143,288,320 would take you about eleven million, one 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 138380143288320 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138380143288320
- 138380143288320 backwards is 023882341083831
- 138380143288320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138380143288320's digits is 54
- More coming soon!
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The information we have on file for 138380143288320 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 138380143288320, math, Factors of 138380143288320, curriculum, school, college, exams, university, Prime factorization of 138380143288320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty billion, one hundred forty-three million, two hundred eighty-eight thousand, three hundred twenty.