138565338439680
138,565,338,439,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138565338439680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
138565338439680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138565338439680:
213 × 33 × 5 × 232 × 433 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 23 × 433 × 547)See below for interesting mathematical facts about the number 138565338439680 from the Numbermatics database.
Names of 138565338439680
- Cardinal: 138565338439680 can be written as One hundred thirty-eight trillion, five hundred sixty-five billion, three hundred thirty-eight million, four hundred thirty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3856533843968 × 1014
Factors of 138565338439680
Divisors of 138565338439680
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 64 69 72 80 90 92 96 108 115 120 128 135 138 144 160 180 184 192 207 216 230 240 256 270 276 288 320 345 360 368 384 414 432 433 460 480 512 529 540 547 552 576 621 640 690 720 736 768 828 864 866 920 960 1024 1035 1058 1080 1094 1104 1152 1242 1280 1299 1380 1440 1472 1536 1587 1641 1656 1728 1732 1840 1920 2048 2070 2116 2160 2165 2188 2208 2304 2484 2560 2598 2645 2735 2760 2880 2944 3072 3105 3174 3282 3312 3456 3464 3680 3840 3897 4096 4140 4232 4320 4330 4376 4416 4608 4761 4923 4968 5120 5196 5290 5470 5520 5760 5888 6144 6210 6348 6495 6564 6624 6912 6928 7360 7680 7794 7935 8192 8205 8280 8464 8640 8660 8752 8832 9216 9522 9846 9936 9959 10240 10392 10580 10940 11040 11520 11691 11776 12288 12420 12581 12696 12990 13128 13248 13824 13856 14283 14720 14769 15360 15588 15870 16410 16560 16928 17280 17320 17504 17664 18432 19044 19485 19692 19872 19918 20480 20784 21160 21880 22080 23040 23382 23552 23805 24576 24615 24840 25162 25392 25980 26256 26496 27648 27712 28566 29440 29538 29877 30720 31176 31740 32820 33120 33856 34560 34640 35008 35328 36864 37743 38088 38970 39384 39744 39836 40960 41568 42320 43760 44160 46080 46764 47104 47610 49230 49680 49795 50324 50784 51960 52512 52992 55296 55424 57132 58455 58880 59076 59754 61440 62352 62905 63480 65640 66240 67712 69120 69280 70016 70656 71415 73728 73845 75486 76176 77940 78768 79488 79672 83136 84640 87520 88320 89631 92160 93528 94208 95220 98460 99360 99590 100648 101568 103920 105024 105984 110592 110848 113229 114264 116910 117760 118152 119508 122880 124704 125810 126960 131280 132480 135424 138240 138560 140032 141312 142830 147690 149385 150972 152352 155880 157536 158976 159344 166272 169280 175040 176640 179262 184320 187056 188416 188715 190440 196920 198720 199180 201296 203136 207840 210048 211968 221184 221696 226458 228528 229057 233820 235520 236304 236851 239016 249408 251620 253920 262560 264960 268893 270848 276480 277120 280064 282624 285660 289363 295380 298770 301944 304704 311760 315072 317952 318688 332544 338560 339687 350080 353280 358524 368640 374112 377430 380880 393840 397440 398360 402592 406272 415680 420096 423936 443392 448155 452916 457056 458114 467640 471040 472608 473702 478032 498816 503240 507840 525120 529920 537786 541696 552960 554240 560128 565248 566145 571320 578726 590760 597540 603888 609408 623520 630144 635904 637376 665088 677120 679374 687171 700160 706560 710553 717048 748224 754860 761760 787680 794880 796720 805184 812544 831360 840192 847872 868089 886784 896310 905832 914112 916228 935280 942080 945216 947404 956064 997632 1006480 1015680 1050240 1059840 1075572 1083392 1105920 1108480 1120256 1132290 1142640 1145285 1157452 1181520 1184255 1195080 1207776 1218816 1247040 1260288 1271808 1274752 1330176 1344465 1354240 1358748 1374342 1400320 1413120 1421106 1434096 1446815 1496448 1509720 1523520 1575360 1589760 1593440 1610368 1625088 1662720 1680384 1695744 1698435 1736178 1773568 1792620 1811664 1828224 1832456 1870560 1890432 1894808 1912128 1995264 2012960 2031360 2061513 2100480 2119680 2131659 2151144 2166784 2216960 2240512 2264580 2285280 2290570 2314904 2363040 2368510 2390160 2415552 2437632 2494080 2520576 2543616 2549504 2604267 2660352 2688930 2708480 2717496 2748684 2800640 2826240 2842212 2868192 2893630 2992896 3019440 3047040 3150720 3179520 3186880 3220736 3250176 3325440 3360768 3396870 3435855 3472356 3547136 3552765 3585240 3623328 3656448 3664912 3741120 3780864 3789616 3824256 3990528 4025920 4062720 4123026 4200960 4239360 4263318 4302288 4333568 4340445 4433920 4481024 4529160 4570560 4581140 4629808 4726080 4737020 4780320 4831104 4875264 4988160 5041152 5087232 5099008 5208534 5320704 5377860 5416960 5434992 5447573 5497368 5601280 5684424 5736384 5787260 5985792 6038880 6094080 6184539 6301440 6359040 6373760 6394977 6441472 6500352 6650880 6721536 6793740 6871710 6944712 7105530 7170480 7246656 7312896 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7276062720 7517650740 7844505120 7916209920 8000308224 8018827456 8185570560 8367472128 8443957248 8731275264 8889231360 9021180888 9382174720 9413406144 9701416960 10000385280 10023534320 10459340160 10554946560 10667077632 10914094080 11013857280 11156629504 11276476110 11766757680 11852308480 12028241184 12551208192 12665935872 13096912896 13333847040 13531771332 13913579520 13945786880 14073262080 14552125440 15035301480 15689010240 15832419840 16000616448 16037654912 16371141120 16734944256 16887914496 16914714165 17462550528 17778462720 18042361776 18826812288 20000770560 20047068640 20918680320 21109893120 21334155264 21828188160 22313259008 22552952220 23533515360 24056482368 25102416384 25331871744 26193825792 26667694080 27063542664 27891573760 28146524160 29104250880 30070602960 31378020480 31664839680 32001232896 32075309824 32742282240 33469888512 33829428330 35556925440 36084723552 37653624576 40001541120 40094137280 41837360640 42219786240 43656376320 44626518016 45105904440 47067030720 48112964736 50204832768 50663743488 52387651584 53335388160 54127085328 55783147520 60141205920 62756040960 63329679360 64002465792 64150619648 65484564480 66939777024 67658856660 72169447104 75307249152 80003082240 80188274560 83674721280 84439572480 87312752640 90211808880 94134061440 96225929472 100409665536 106670776320 108254170656 111566295040 120282411840 125512081920 126659358720 128301239296 130969128960 133879554048 135317713320 144338894208 150614498304 160006164480 160376549120 167349442560 180423617760 188268122880 192451858944 200819331072 216508341312 223132590080 240564823680 251024163840 253318717440 256602478592 261938257920 270635426640 288677788416 301228996608 320012328960 320753098240 334698885120 360847235520 376536245760 384903717888 401638662144 433016682624 481129647360 502048327680 513204957184 541270853280 577355576832 602457993216 641506196480 669397770240 721694471040 753072491520 769807435776 866033365248 962259294720 1004096655360 1026409914368 1082541706560 1154711153664 1204915986432 1283012392960 1443388942080 1506144983040 1539614871552 1732066730496 1924518589440 2008193310720 2165083413120 2309422307328 2566024785920 2886777884160 3012289966080 3079229743104 3464133460992 3849037178880 4330166826240 4618844614656 5132049571840 5773555768320 6024579932160 6928266921984 7698074357760 8660333652480 9237689229312 11547111536640 13856533843968 15396148715520 17320667304960 23094223073280 27713067687936 34641334609920 46188446146560 69282669219840 138565338439680
- Sum of all divisors σ(n): 517130427784320
- Sum of proper divisors (its aliquot sum) s(n): 378565089344640
- 138565338439680 is an abundant number, because the sum of its proper divisors (378565089344640) is greater than itself. Its abundance is 239999750904960
Bases of 138565338439680
- Binary: 111111000000110010000011100011010100000000000002
- Hexadecimal: 0x7E0641C6A000
- Base-36: 1D481CUTC0
Squares and roots of 138565338439680
- 138565338439680 squared (1385653384396802) is 19200353016903059816998502400
- 138565338439680 cubed (1385653384396803) is 2660503413948503411248552970887712735232000
-
The
square root of 138565338439680 is 11771377.9329218719 -
The
cube root of 138565338439680 is 51746.9633062545
Scales and comparisons
How big is 138565338439680?- 138,565,338,439,680 seconds is equal to 4,405,949 years, 7 weeks, 6 days, 4 hours, 48 minutes.
-
To count from 1 to 138,565,338,439,680 would take you about eleven million, fourteen thousand, eight hundred seventy-two 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 138565338439680 cubic inches would be around 4312.2 feet tall.
Recreational maths with 138565338439680
- 138565338439680 backwards is 086934833565831
- 138565338439680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138565338439680's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 138565338439680 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138565338439680 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138565338439680/
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The information we have on file for 138565338439680 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 138565338439680, math, Factors of 138565338439680, curriculum, school, college, exams, university, Prime factorization of 138565338439680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred sixty-five billion, three hundred thirty-eight million, four hundred thirty-nine thousand, six hundred eighty.