138180136846905600
138,180,136,846,905,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138180136846905600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138180136846905600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138180136846905600:
28 × 3 × 52 × 433 × 4493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 43 × 43 × 43 × 449 × 449 × 449)See below for interesting mathematical facts about the number 138180136846905600 from the Numbermatics database.
Names of 138180136846905600
- Cardinal: 138180136846905600 can be written as One hundred thirty-eight quadrillion, one hundred eighty trillion, one hundred thirty-six billion, eight hundred forty-six million, nine hundred five thousand, six hundred.
Scientific notation
- Scientific notation: 1.381801368469056 × 1017
Factors of 138180136846905600
Divisors of 138180136846905600
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 64 75 80 86 96 100 120 128 129 150 160 172 192 200 215 240 256 258 300 320 344 384 400 430 449 480 516 600 640 645 688 768 800 860 898 960 1032 1075 1200 1280 1290 1347 1376 1600 1720 1796 1849 1920 2064 2150 2245 2400 2580 2694 2752 3200 3225 3440 3592 3698 3840 4128 4300 4490 4800 5160 5388 5504 5547 6400 6450 6735 6880 7184 7396 8256 8600 8980 9245 9600 10320 10776 11008 11094 11225 12900 13470 13760 14368 14792 16512 17200 17960 18490 19200 19307 20640 21552 22188 22450 25800 26940 27520 27735 28736 29584 33024 33675 34400 35920 36980 38614 41280 43104 44376 44900 46225 51600 53880 55040 55470 57472 57921 59168 67350 68800 71840 73960 77228 79507 82560 86208 88752 89800 92450 96535 103200 107760 110940 114944 115842 118336 134700 137600 138675 143680 147920 154456 159014 165120 172416 177504 179600 184900 193070 201601 206400 215520 221880 231684 236672 238521 269400 275200 277350 287360 289605 295840 308912 318028 344832 355008 359200 369800 386140 397535 403202 412800 431040 443760 463368 473344 477042 482675 538800 554700 574720 579210 591680 604803 617824 636056 710016 718400 739600 772280 795070 806404 825600 830201 862080 887520 926736 954084 965350 1008005 1077600 1109400 1158420 1183360 1192605 1209606 1235648 1272112 1420032 1436800 1448025 1479200 1544560 1590140 1612808 1660402 1724160 1775040 1853472 1908168 1930700 1987675 2016010 2155200 2218800 2316840 2366720 2385210 2419212 2471296 2490603 2544224 2873600 2896050 2958400 3024015 3089120 3180280 3225616 3320804 3550080 3706944 3816336 3861400 3975350 4032020 4151005 4310400 4437600 4633680 4770420 4838424 4942592 4981206 5040025 5088448 5792100 5916800 5963025 6048030 6178240 6360560 6451232 6641608 7100160 7413888 7632672 7722800 7950700 8064040 8302010 8620800 8668843 8875200 9267360 9540840 9676848 9962412 10080050 10176896 11584200 11833600 11926050 12096060 12356480 12453015 12721120 12902464 13283216 14827776 15120075 15265344 15445600 15901400 16128080 16604020 17337686 17750400 18534720 19081680 19353696 19924824 20160100 20353792 20755025 23168400 23852100 24192120 24712960 24906030 25442240 25804928 26006529 26566432 30240150 30530688 30891200 31802800 32256160 33208040 34675372 35500800 35698643 37069440 38163360 38707392 39849648 40320200 41510050 43344215 46336800 47704200 48384240 49812060 50884480 51609856 52013058 53132864 60480300 61061376 61782400 62265075 63605600 64512320 66416080 69350744 71397286 74138880 76326720 77414784 79699296 80640400 83020100 86688430 90518849 92673600 95408400 96768480 99624120 101768960 104026116 106265728 107095929 120960600 123564800 124530150 127211200 129024640 130032645 132832160 138701488 142794572 152653440 154829568 159398592 161280800 166040200 173376860 178493215 181037698 185347200 190816800 193536960 199248240 208052232 212531456 214191858 216721075 241921200 249060300 254422400 258049280 260065290 265664320 271556547 277402976 285589144 305306880 318797184 322561600 332080400 346753720 356986430 362075396 370694400 372760249 381633600 387073920 398496480 416104464 428383716 433442150 452594245 483842400 498120600 508844800 520130580 531328640 535479645 543113094 554805952 571178288 637594368 645123200 650163225 664160800 693507440 713972860 724150792 745520498 763267200 774147840 796992960 832208928 856767432 866884300 892466075 905188490 967684800 996241200 1040261160 1062657280 1070959290 1086226188 1109611904 1118280747 1142356576 1290246400 1300326450 1328321600 1357782735 1387014880 1427945720 1448301584 1491040996 1526534400 1593985920 1664417856 1713534864 1733768600 1784932150 1810376980 1863801245 1935369600 1992482400 2080522320 2141918580 2172452376 2219223808 2236561494 2262971225 2284713152 2600652900 2656643200 2677398225 2715565470 2774029760 2855891440 2896603168 2982081992 3187971840 3328835712 3427069728 3467537200 3569864300 3620753960 3727602490 3870739200 3892310507 3984964800 4161044640 4283837160 4344904752 4473122988 4525942450 4569426304 5201305800 5313286400 5354796450 5431130940 5548059520 5591403735 5711782880 5793206336 5964163984 6657671424 6788913675 6854139456 6935074400 7139728600 7241507920 7455204980 7784621014 7969929600 8322089280 8567674320 8689809504 8946245976 9051884900 9138852608 9319006225 10402611600 10709592900 10862261880 11096119040 11182807470 11423565760 11586412672 11676931521 11928327968 13577827350 13708278912 13870148800 14279457200 14483015840 14910409960 15569242028 15939859200 16028690707 16644178560 17135348640 17379619008 17892491952 18103769800 18638012450 19461552535 20805223200 21419185800 21724523760 22365614940 22847131520 23172825344 23353863042 23856655936 27155654700 27416557824 27740297600 27957018675 28558914400 28966031680 29820819920 31138484056 32057381414 33288357120 34270697280 34759238016 35784983904 36207539600 37276024900 38923105070 41610446400 42838371600 43449047520 44731229880 45694263040 46707726084 47713311872 48086072121 54311309400 55480595200 55914037350 57117828800 57932063360 58384657605 59641639840 62276968112 64114762828 68541394560 69518476032 71569967808 72415079200 74552049800 77846210140 80143453535 83220892800 85676743200 86898095040 89462459760 93415452168 95426623744 96172144242 97307762675 108622618800 111828074700 114235657600 115864126720 116769315210 119283279680 124553936224 128229525656 137082789120 143139935616 144830158400 149104099600 155692420280 160286907070 166441785600 167369351801 171353486400 173796190080 178924919520 186830904336 192344288484 194615525350 217245237600 223656149400 228471315200 233538630420 238566559360 240430360605 249107872448 256459051312 286279871232 289660316800 291923288025 298208199200 311384840560 320573814140 334738703602 342706972800 347592380160 357849839040 373661808672 384688576968 389231050700 400717267675 434490475200 447312298800 467077260840 477133118720 480860721210 498215744896 502108055403 512918102624 579320633600 583846576050 596416398400 622769681120 641147628280 669477407204 685413945600 715699678080 747323617344 769377153936 778462101400 801434535350 836846759005 868980950400 894624597600 934154521680 961721442420 996431489792 1004216110806 1025836205248 1167693152100 1192832796800 1202151803025 1245539362240 1282295256560 1338954814408 1431399356160 1494647234688 1538754307872 1556924202800 1602869070700 1673693518010 1737961900800 1789249195200 1868309043360 1923442884840 2008432221612 2051672410496 2335386304200 2385665593600 2404303606050 2491078724480 2510540277015 2564590513120 2677909628816 2989294469376 3077508615744 3113848405600 3205738141400 3347387036020 3578498390400 3736618086720 3846885769680 4016864443224 4103344820992 4184233795025 4670772608400 4808607212100 4982157448960 5021080554030 5129181026240 5355819257632 6155017231488 6227696811200 6411476282800 6694774072040 7156996780800 7196882127443 7473236173440 7693771539360 8033728886448 8368467590050 9341545216800 9617214424200 10042161108060 10258362052480 10711638515264 12310034462976 12455393622400 12552701385075 12822952565600 13389548144080 14393764254886 14946472346880 15387543078720 16067457772896 16736935180100 18683090433600 19234428848400 20084322216120 20516724104960 21423277030528 21590646382329 24910787244800 25105402770150 25645905131200 26779096288160 28787528509772 30775086157440 32134915545792 33473870360200 35984410637215 37366180867200 38468857696800 40168644432240 42846554061056 43181292764658 50210805540300 51291810262400 53558192576320 57575057019544 61550172314880 64269831091584 66947740720400 71968821274430 74732361734400 76937715393600 80337288864480 86362585529316 100421611080600 102583620524800 107116385152640 107953231911645 115150114039088 128539662183168 133895481440800 143937642548860 153875430787200 160674577728960 172725171058632 179922053186075 200843222161200 214232770305280 215906463823290 230300228078176 267790962881600 287875285097720 307750861574400 321349155457920 345450342117264 359844106372150 401686444322400 431812927646580 460600456156352 535581925763200 539766159558225 575750570195440 642698310915840 690900684234528 719688212744300 803372888644800 863625855293160 921200912312704 1071163851526400 1079532319116450 1151501140390880 1381801368469056 1439376425488600 1606745777289600 1727251710586320 1842401824625408 2159064638232900 2303002280781760 2763602736938112 2878752850977200 3213491554579200 3454503421172640 4318129276465800 4606004561563520 5527205473876224 5757505701954400 6909006842345280 8636258552931600 9212009123127040 11515011403908800 13818013684690560 17272517105863200 23030022807817600 27636027369381120 34545034211726400 46060045615635200 69090068423452800 138180136846905600
- Sum of all divisors σ(n): 467922943358640000
- Sum of proper divisors (its aliquot sum) s(n): 329742806511734400
- 138180136846905600 is an abundant number, because the sum of its proper divisors (329742806511734400) is greater than itself. Its abundance is 191562669664828800
Bases of 138180136846905600
- Binary: 1111010101110101000011010001100111100011001010001000000002
- Hexadecimal: 0x1EAEA1A33C65100
- Base-36: 11SKRQJ18MIO
Squares and roots of 138180136846905600
- 138180136846905600 squared (1381801368469056002) is 19093750219029558691572295311360000
- 138180136846905600 cubed (1381801368469056003) is 2638377018186138193518801641377136849004527616000000
-
The
square root of 138180136846905600 is 371725889.3955404877 -
The
cube root of 138180136846905600 is 516989.6786894579
Scales and comparisons
How big is 138180136846905600?- 138,180,136,846,905,600 seconds is equal to 4,393,700,932 years, 26 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 138,180,136,846,905,600 would take you about thirteen billion, one hundred eighty-one million, one hundred two thousand, seven hundred ninety-seven 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 138180136846905600 cubic inches would be around 43082.5 feet tall.
Recreational maths with 138180136846905600
- 138180136846905600 backwards is 006509648631081831
- The number of decimal digits it has is: 18
- The sum of 138180136846905600's digits is 69
- More coming soon!
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The information we have on file for 138180136846905600 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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