138710827008000
138,710,827,008,000 is an even composite number composed of five prime numbers multiplied together.
138710827008000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138710827008000:
217 × 32 × 53 × 13 × 2692
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 269 × 269)See below for interesting mathematical facts about the number 138710827008000 from the Numbermatics database.
Names of 138710827008000
- Cardinal: 138710827008000 can be written as One hundred thirty-eight trillion, seven hundred ten billion, eight hundred twenty-seven million, eight thousand.
Scientific notation
- Scientific notation: 1.38710827008 × 1014
Factors of 138710827008000
Divisors of 138710827008000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 269 288 300 312 320 325 360 375 384 390 400 416 450 468 480 500 512 520 538 576 585 600 624 640 650 720 750 768 780 800 807 832 900 936 960 975 1000 1024 1040 1076 1125 1152 1170 1200 1248 1280 1300 1345 1440 1500 1536 1560 1600 1614 1625 1664 1800 1872 1920 1950 2000 2048 2080 2152 2250 2304 2340 2400 2421 2496 2560 2600 2690 2880 2925 3000 3072 3120 3200 3228 3250 3328 3497 3600 3744 3840 3900 4000 4035 4096 4160 4304 4500 4608 4680 4800 4842 4875 4992 5120 5200 5380 5760 5850 6000 6144 6240 6400 6456 6500 6656 6725 6994 7200 7488 7680 7800 8000 8070 8192 8320 8608 9000 9216 9360 9600 9684 9750 9984 10240 10400 10491 10760 11520 11700 12000 12105 12288 12480 12800 12912 13000 13312 13450 13988 14400 14625 14976 15360 15600 16000 16140 16384 16640 17216 17485 18000 18432 18720 19200 19368 19500 19968 20175 20480 20800 20982 21520 23040 23400 24000 24210 24576 24960 25600 25824 26000 26624 26900 27976 28800 29250 29952 30720 31200 31473 32000 32280 32768 33280 33625 34432 34970 36000 36864 37440 38400 38736 39000 39936 40350 40960 41600 41964 43040 46080 46800 48000 48420 49152 49920 51200 51648 52000 52455 53248 53800 55952 57600 58500 59904 60525 61440 62400 62946 64000 64560 65536 66560 67250 68864 69940 72000 72361 73728 74880 76800 77472 78000 79872 80700 81920 83200 83928 86080 87425 92160 93600 96000 96840 98304 99840 100875 102400 103296 104000 104910 106496 107600 111904 115200 117000 119808 121050 122880 124800 125892 128000 129120 131072 133120 134500 137728 139880 144000 144722 147456 149760 153600 154944 156000 157365 159744 161400 163840 166400 167856 172160 174850 184320 187200 192000 193680 196608 199680 201750 204800 206592 208000 209820 212992 215200 217083 223808 230400 234000 239616 242100 245760 249600 251784 256000 258240 262275 266240 269000 275456 279760 288000 289444 294912 299520 302625 307200 309888 312000 314730 319488 322800 327680 332800 335712 344320 349700 361805 368640 374400 384000 387360 393216 399360 403500 409600 413184 416000 419640 425984 430400 434166 437125 447616 460800 468000 479232 484200 491520 499200 503568 512000 516480 524550 532480 538000 550912 559520 576000 578888 589824 599040 605250 614400 619776 624000 629460 638976 645600 651249 655360 665600 671424 688640 699400 723610 737280 748800 768000 774720 786825 798720 807000 819200 826368 832000 839280 851968 860800 868332 874250 895232 921600 936000 940693 958464 968400 983040 998400 1007136 1024000 1032960 1049100 1064960 1076000 1085415 1101824 1119040 1152000 1157776 1179648 1198080 1210500 1228800 1239552 1248000 1258920 1277952 1291200 1302498 1311375 1331200 1342848 1377280 1398800 1447220 1474560 1497600 1536000 1549440 1573650 1597440 1614000 1638400 1652736 1664000 1678560 1703936 1721600 1736664 1748500 1790464 1809025 1843200 1872000 1881386 1916928 1936800 1966080 1996800 2014272 2048000 2065920 2098200 2129920 2152000 2170830 2203648 2238080 2304000 2315552 2396160 2421000 2457600 2479104 2496000 2517840 2555904 2582400 2604996 2622750 2662400 2685696 2754560 2797600 2822079 2894440 2949120 2995200 3072000 3098880 3147300 3194880 3228000 3256245 3276800 3305472 3328000 3357120 3443200 3473328 3497000 3580928 3618050 3686400 3744000 3762772 3833856 3873600 3934125 3993600 4028544 4096000 4131840 4196400 4259840 4304000 4341660 4407296 4476160 4608000 4631104 4703465 4792320 4842000 4915200 4958208 4992000 5035680 5111808 5164800 5209992 5245500 5324800 5371392 5427075 5509120 5595200 5644158 5788880 5898240 5990400 6144000 6197760 6294600 6389760 6456000 6512490 6610944 6656000 6714240 6886400 6946656 6994000 7161856 7236100 7372800 7488000 7525544 7667712 7747200 7868250 7987200 8057088 8192000 8263680 8392800 8466237 8519680 8608000 8683320 8814592 8952320 9045125 9216000 9262208 9406930 9584640 9684000 9830400 9916416 9984000 10071360 10329600 10419984 10491000 10649600 10742784 10854150 11018240 11190400 11288316 11577760 11980800 12288000 12395520 12589200 12779520 12912000 13024980 13221888 13312000 13428480 13772800 13893312 13988000 14110395 14323712 14472200 14745600 14976000 15051088 15335424 15494400 15736500 15974400 16114176 16281225 16384000 16527360 16785600 16932474 17216000 17366640 17629184 17904640 18090250 18432000 18524416 18813860 19169280 19368000 19832832 19968000 20142720 20659200 20839968 20982000 21299200 21485568 21708300 22036480 22380800 22576632 23155520 23517325 23961600 24576000 24791040 25178400 25559040 25824000 26049960 26443776 26624000 26856960 27135375 27545600 27786624 27976000 28220790 28647424 28944400 29491200 29952000 30102176 30988800 31473000 31948800 32228352 32562450 33054720 33571200 33864948 34432000 34733280 35258368 35809280 36180500 36864000 37048832 37627720 38338560 38736000 39665664 39936000 40285440 41318400 41679936 41964000 42331185 42598400 42971136 43416600 44072960 44761600 45153264 46311040 47034650 47923200 49152000 49582080 50356800 51648000 52099920 52887552 53248000 53713920 54270750 55091200 55573248 55952000 56441580 57294848 57888800 59904000 60204352 61977600 62946000 63897600 64456704 65124900 66109440 67142400 67729896 68864000 69466560 70551975 71618560 72361000 73728000 74097664 75255440 76677120 77472000 79331328 79872000 80570880 81406125 82636800 83359872 83928000 84662370 85942272 86833200 88145920 89523200 90306528 92622080 94069300 95846400 99164160 100713600 103296000 104199840 105775104 106496000 107427840 108541500 110182400 111146496 111904000 112883160 114589696 115777600 117586625 119808000 120408704 123955200 125892000 127795200 128913408 130249800 132218880 134284800 135459792 137728000 138933120 141103950 143237120 144722000 147456000 148195328 150510880 154944000 158662656 159744000 161141760 162812250 165273600 166719744 167856000 169324740 171884544 173666400 176291840 179046400 180613056 185244160 188138600 191692800 198328320 201427200 206592000 208399680 211655925 212992000 214855680 217083000 220364800 222292992 223808000 225766320 229179392 231555200 235173250 239616000 240817408 247910400 251784000 257826816 260499600 264437760 268569600 270919584 275456000 277866240 282207900 286474240 289444000 296390656 301021760 309888000 317325312 319488000 322283520 325624500 330547200 333439488 335712000 338649480 343769088 347332800 352759875 358092800 361226112 370488320 376277200 383385600 396656640 402854400 413184000 416799360 423311850 429711360 434166000 440729600 444585984 447616000 451532640 458358784 463110400 470346500 479232000 481634816 495820800 503568000 515653632 520999200 528875520 537139200 541839168 550912000 555732480 564415800 572948480 578888000 592781312 602043520 619776000 638976000 644567040 651249000 661094400 666878976 671424000 677298960 687538176 694665600 705519750 716185600 722452224 740976640 752554400 793313280 805708800 826368000 833598720 846623700 859422720 868332000 881459200 889171968 895232000 903065280 926220800 940693000 958464000 963269632 991641600 1007136000 1031307264 1041998400 1058279625 1074278400 1083678336 1101824000 1111464960 1128831600 1145896960 1157776000 1185562624 1204087040 1239552000 1289134080 1302498000 1322188800 1333757952 1342848000 1354597920 1375076352 1389331200 1411039500 1432371200 1444904448 1481953280 1505108800 1586626560 1611417600 1652736000 1667197440 1693247400 1718845440 1736664000 1778343936 1790464000 1806130560 1852441600 1881386000 1916928000 1926539264 1983283200 2014272000 2062614528 2083996800 2116559250 2148556800 2167356672 2203648000 2222929920 2257663200 2291793920 2315552000 2371125248 2408174080 2479104000 2578268160 2604996000 2644377600 2667515904 2685696000 2709195840 2778662400 2822079000 2864742400 2889808896 2963906560 3010217600 3222835200 3305472000 3334394880 3386494800 3437690880 3473328000 3556687872 3580928000 3612261120 3704883200 3762772000 3853078528 3966566400 4028544000 4125229056 4167993600 4233118500 4297113600 4334713344 4407296000 4445859840 4515326400 4631104000 4742250496 4816348160 4958208000 5156536320 5209992000 5335031808 5371392000 5418391680 5557324800 5644158000 5729484800 5779617792 5927813120 6020435200 6445670400 6610944000 6668789760 6772989600 6875381760 6946656000 7113375744 7161856000 7224522240 7409766400 7525544000 7706157056 7933132800 8057088000 8335987200 8466237000 8594227200 8669426688 8891719680 9030652800 9262208000 9484500992 9632696320 9916416000 10313072640 10419984000 10670063616 10742784000 10836783360 11114649600 11288316000 11458969600 11559235584 11855626240 12040870400 12891340800 13221888000 13337579520 13545979200 13893312000 14226751488 14323712000 14449044480 14819532800 15051088000 15412314112 16114176000 16671974400 16932474000 17188454400 17338853376 17783439360 18061305600 18524416000 19265392640 19832832000 20626145280 20839968000 21340127232 21485568000 21673566720 22229299200 22576632000 23118471168 23711252480 24081740800 25782681600 26675159040 27091958400 27786624000 28453502976 28647424000 28898088960 29639065600 30102176000 30824628224 32228352000 33343948800 33864948000 34376908800 34677706752 35566878720 36122611200 37048832000 38530785280 39665664000 41679936000 42680254464 42971136000 43347133440 44458598400 45153264000 46236942336 47422504960 48163481600 51565363200 53350318080 54183916800 55573248000 57294848000 57796177920 59278131200 60204352000 61649256448 64456704000 66687897600 67729896000 69355413504 71133757440 72245222400 74097664000 77061570560 83359872000 85360508928 85942272000 86694266880 88917196800 90306528000 92473884672 96326963200 103130726400 106700636160 108367833600 111146496000 115592355840 118556262400 120408704000 123298512896 128913408000 133375795200 135459792000 138710827008 142267514880 144490444800 148195328000 154123141120 166719744000 171884544000 173388533760 177834393600 180613056000 184947769344 192653926400 213401272320 216735667200 222292992000 231184711680 237112524800 240817408000 257826816000 266751590400 270919584000 277421654016 288980889600 296390656000 308246282240 333439488000 346777067520 355668787200 361226112000 369895538688 385307852800 426802544640 433471334400 444585984000 462369423360 481634816000 515653632000 533503180800 541839168000 554843308032 577961779200 592781312000 616492564480 666878976000 693554135040 711337574400 722452224000 770615705600 866942668800 889171968000 924738846720 963269632000 1067006361600 1083678336000 1109686616064 1155923558400 1185562624000 1333757952000 1387108270080 1444904448000 1541231411200 1733885337600 1778343936000 1849477693440 1926539264000 2134012723200 2167356672000 2311847116800 2667515904000 2774216540160 2889808896000 3082462822400 3467770675200 3556687872000 3853078528000 4334713344000 4623694233600 5335031808000 5548433080320 5779617792000 6935541350400 7706157056000 8669426688000 9247388467200 10670063616000 11559235584000 13871082700800 15412314112000 17338853376000 23118471168000 27742165401600 34677706752000 46236942336000 69355413504000 138710827008000
- Sum of all divisors σ(n): 540575396151336
- Sum of proper divisors (its aliquot sum) s(n): 401864569143336
- 138710827008000 is an abundant number, because the sum of its proper divisors (401864569143336) is greater than itself. Its abundance is 263153742135336
Bases of 138710827008000
- Binary: 111111000101000001000011001001000000000000000002
- Hexadecimal: 0x7E2821920000
- Base-36: 1D62VGZR40
Squares and roots of 138710827008000
- 138710827008000 squared (1387108270080002) is 19240693529243302232064000000
- 138710827008000 cubed (1387108270080003) is 2668892511648812685054489774784512000000000
-
The
square root of 138710827008000 is 11777556.0711040557 -
The
cube root of 138710827008000 is 51765.0677815179
Scales and comparisons
How big is 138710827008000?- 138,710,827,008,000 seconds is equal to 4,410,575 years, 12 weeks, 2 days, 16 hours.
-
To count from 1 to 138,710,827,008,000 would take you about eleven million, twenty-six thousand, four 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 138710827008000 cubic inches would be around 4313.8 feet tall.
Recreational maths with 138710827008000
- 138710827008000 backwards is 000800728017831
- 138710827008000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138710827008000's digits is 45
- More coming soon!
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The information we have on file for 138710827008000 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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