138191310336000
138,191,310,336,000 is an even composite number composed of six prime numbers multiplied together.
138191310336000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 138191310336000:
212 × 3 × 53 × 172 × 193 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 17 × 193 × 1613)See below for interesting mathematical facts about the number 138191310336000 from the Numbermatics database.
Names of 138191310336000
- Cardinal: 138191310336000 can be written as One hundred thirty-eight trillion, one hundred ninety-one billion, three hundred ten million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38191310336 × 1014
Factors of 138191310336000
Divisors of 138191310336000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 125 128 136 150 160 170 192 193 200 204 240 250 255 256 272 289 300 320 340 375 384 386 400 408 425 480 500 510 512 544 578 579 600 640 680 750 768 772 800 816 850 867 960 965 1000 1020 1024 1088 1156 1158 1200 1275 1280 1360 1445 1500 1536 1544 1600 1613 1632 1700 1734 1920 1930 2000 2040 2048 2125 2176 2312 2316 2400 2550 2560 2720 2890 2895 3000 3072 3088 3200 3226 3264 3281 3400 3468 3840 3860 4000 4080 4096 4250 4335 4352 4624 4632 4800 4825 4839 5100 5120 5440 5780 5790 6000 6144 6176 6375 6400 6452 6528 6562 6800 6936 7225 7680 7720 8000 8065 8160 8500 8670 8704 9248 9264 9600 9650 9678 9843 10200 10240 10880 11560 11580 12000 12288 12352 12750 12800 12904 13056 13124 13600 13872 14450 14475 15360 15440 16000 16130 16320 16405 17000 17340 17408 18496 18528 19200 19300 19356 19686 20400 20480 21675 21760 23120 23160 24000 24125 24195 24704 25500 25600 25808 26112 26248 27200 27421 27744 28900 28950 30720 30880 32000 32260 32640 32810 34000 34680 34816 36125 36992 37056 38400 38600 38712 39372 40325 40800 43350 43520 46240 46320 48000 48250 48390 49215 49408 51000 51200 51616 52224 52496 54400 54842 55488 55777 57800 57900 61440 61760 64000 64520 65280 65620 68000 69360 69632 72250 72375 73984 74112 76800 77200 77424 78744 80650 81600 82025 82263 86700 87040 92480 92640 96000 96500 96780 98430 98816 102000 102400 103232 104448 104992 108375 108800 109684 110976 111554 115600 115800 120975 123520 128000 129040 130560 131240 136000 137105 138720 144500 144750 147968 148224 153600 154400 154848 157488 161300 163200 164050 164526 167331 173400 174080 184960 185280 192000 193000 193560 196860 197632 201625 204000 206464 208896 209984 216750 217600 219368 221952 223108 231200 231600 241950 246075 247040 256000 258080 261120 262480 272000 274210 277440 278885 289000 289500 295936 296448 307200 308800 309696 311309 314976 322600 326400 328100 329052 334662 346800 348160 369920 370560 384000 386000 387120 393720 395264 403250 408000 410125 411315 412928 419968 433500 435200 438736 443904 446216 462400 463200 466157 483900 492150 494080 512000 516160 522240 524960 544000 548420 554880 557770 578000 579000 591872 592896 604875 617600 619392 622618 629952 645200 652800 656200 658104 669324 685525 693600 739840 741120 768000 772000 774240 787440 790528 806500 816000 820250 822630 825856 836655 839936 867000 870400 877472 887808 892432 924800 926400 932314 933927 967800 984300 988160 1032320 1044480 1049920 1088000 1096840 1109760 1115540 1156000 1158000 1183744 1185792 1209750 1230375 1235200 1238784 1245236 1259904 1290400 1305600 1312400 1316208 1338648 1371050 1387200 1394425 1398471 1479680 1482240 1536000 1544000 1548480 1556545 1574880 1613000 1632000 1640500 1645260 1651712 1673310 1679872 1734000 1740800 1754944 1775616 1784864 1849600 1852800 1864628 1867854 1935600 1968600 1976320 2056575 2064640 2099840 2176000 2193680 2219520 2231080 2312000 2316000 2330785 2371584 2419500 2460750 2470400 2477568 2490472 2519808 2580800 2611200 2624800 2632416 2677296 2742100 2774400 2788850 2796942 2959360 2964480 3088000 3096960 3113090 3149760 3226000 3264000 3281000 3290520 3303424 3346620 3359744 3427625 3468000 3509888 3551232 3569728 3699200 3705600 3729256 3735708 3871200 3937200 3952640 4113150 4129280 4183275 4199680 4352000 4387360 4439040 4462160 4624000 4632000 4661570 4669635 4839000 4921500 4940800 4955136 4980944 5039616 5161600 5222400 5249600 5264832 5292253 5354592 5484200 5548800 5577700 5593884 5918720 5928960 6176000 6193920 6226180 6299520 6452000 6528000 6562000 6581040 6606848 6693240 6719488 6855250 6936000 6972125 6992355 7019776 7139456 7398400 7411200 7458512 7471416 7742400 7782725 7874400 8226300 8258560 8366550 8399360 8704000 8774720 8878080 8924320 9248000 9264000 9323140 9339270 9678000 9843000 9881600 9910272 9961888 10079232 10282875 10323200 10499200 10529664 10584506 10709184 10968400 11097600 11155400 11187768 11653925 11857920 12352000 12387840 12452360 12599040 12904000 13056000 13124000 13162080 13386480 13438976 13710500 13872000 13944250 13984710 14039552 14278912 14796800 14822400 14917024 14942832 15484800 15565450 15748800 15876759 16452600 16517120 16733100 16798720 17549440 17756160 17848640 18496000 18528000 18646280 18678540 19356000 19686000 19763200 19820544 19923776 20158464 20565750 20646400 20916375 20998400 21059328 21169012 21418368 21936800 22195200 22310800 22375536 23307850 23348175 24704000 24775680 24904720 25198080 25808000 26112000 26248000 26324160 26461265 26772960 27421000 27744000 27888500 27969420 28079104 28557824 29593600 29644800 29834048 29885664 30969600 31130900 31497600 31753518 32905200 33034240 33466200 33597440 34961775 35098880 35697280 36992000 37056000 37292560 37357080 38712000 38913625 39372000 39847552 40316928 41131500 41292800 41832750 41996800 42118656 42338024 42836736 43873600 44390400 44621600 44751072 46615700 46696350 49408000 49551360 49809440 50396160 51616000 52496000 52648320 52922530 53545920 54842000 55488000 55777000 55938840 56158208 57115648 58269625 59289600 59668096 59771328 61939200 62261800 62995200 63507036 65810400 66932400 67194880 69923550 70197760 71394560 73984000 74112000 74585120 74714160 77424000 77827250 78744000 79383795 79695104 82263000 82585600 83665500 83993600 84237312 84676048 85673472 87747200 88780800 89243200 89502144 89968301 93231400 93392700 98816000 99102720 99618880 100792320 103232000 104992000 105296640 105845060 107091840 109684000 110976000 111554000 111877680 112316416 114231296 116539250 116740875 119336192 119542656 123878400 124523600 125990400 127014072 131620800 132306325 133864800 139847100 140395520 142789120 147968000 148224000 149170240 149428320 154848000 155654500 157488000 158767590 159390208 164526000 165171200 167331000 167987200 168474624 169352096 171346944 174808875 175494400 178486400 179004288 179936602 186462800 186785400 199237760 201584640 206464000 209984000 210593280 211690120 214183680 219368000 221952000 223108000 223755360 228462592 233078500 233481750 238672384 239085312 247756800 249047200 251980800 254028144 263241600 264612650 267729600 269904903 279694200 280791040 285578240 296448000 298340480 298856640 309696000 311309000 314976000 317535180 318780416 329052000 334662000 335974400 336949248 338704192 342693888 349617750 350988800 356972800 358008576 359873204 372925600 373570800 396918975 398475520 412928000 419968000 421186560 423380240 428367360 438736000 443904000 446216000 447510720 449841505 466157000 466963500 477344768 478170624 495513600 498094400 503961600 508056288 526483200 529225300 535459200 539809806 559388400 561582080 571156480 596680960 597713280 619392000 622618000 629952000 635070360 637560832 658104000 661531625 669324000 677408384 685387776 699235500 701977600 713945600 716017152 719746408 745851200 747141600 793837950 796951040 825856000 839936000 842373120 846760480 856734720 877472000 892432000 895021440 899683010 932314000 933927000 954689536 956341248 996188800 1007923200 1016112576 1052966400 1058450600 1070918400 1079619612 1118776800 1142312960 1193361920 1195426560 1238784000 1245236000 1259904000 1270140720 1275121664 1316208000 1323063250 1338648000 1349524515 1354816768 1398471000 1403955200 1427891200 1432034304 1439492816 1491702400 1494283200 1587675900 1593902080 1679872000 1684746240 1693520960 1713469440 1754944000 1784864000 1790042880 1799366020 1864628000 1867854000 1909379072 1912682496 1984594875 1992377600 2032225152 2105932800 2116901200 2141836800 2159239224 2237553600 2249207525 2386723840 2390853120 2477568000 2490472000 2519808000 2540281440 2632416000 2646126500 2677296000 2699049030 2709633536 2796942000 2807910400 2855782400 2864068608 2878985632 2983404800 2988566400 3175351800 3187804160 3387041920 3426938880 3509888000 3569728000 3580085760 3598732040 3729256000 3735708000 3825364992 3969189750 3984755200 4064450304 4211865600 4233802400 4283673600 4318478448 4475107200 4498415050 4773447680 4781706240 4980944000 5039616000 5080562880 5264832000 5292253000 5354592000 5398098060 5419267072 5593884000 5711564800 5728137216 5757971264 5966809600 5977132800 6350703600 6375608320 6747622575 6774083840 7019776000 7139456000 7160171520 7197464080 7458512000 7471416000 7938379500 7969510400 8128900608 8423731200 8467604800 8567347200 8636956896 8950214400 8996830100 9546895360 9563412480 9961888000 10161125760 10529664000 10584506000 10709184000 10796196120 10838534144 11187768000 11246037625 11515942528 11933619200 11954265600 12701407200 13495245150 13548167680 14039552000 14278912000 14320343040 14394928160 14917024000 14942832000 15876759000 15939020800 16257801216 16935209600 17134694400 17273913792 17900428800 17993660200 19126824960 19923776000 20322251520 21059328000 21169012000 21418368000 21592392240 21677068288 22375536000 22492075250 23031885056 23867238400 23908531200 25402814400 26990490300 27096335360 28557824000 28640686080 28789856320 29834048000 29885664000 31753518000 31878041600 32515602432 33738112875 33870419200 34547827584 35800857600 35987320400 39847552000 40644503040 42118656000 42338024000 42836736000 43184784480 44751072000 44984150500 46063770112 47734476800 47817062400 50805628800 53980980600 54192670720 57579712640 59668096000 59771328000 63507036000 65031204864 67476225750 67740838400 69095655168 71601715200 71974640800 79695104000 81289006080 84676048000 85673472000 86369568960 89502144000 89968301000 92127540224 95634124800 101611257600 107961961200 108385341440 115159425280 119336192000 119542656000 127014072000 134952451500 135481676800 138191310336 143203430400 143949281600 159390208000 162578012160 169352096000 172739137920 179004288000 179936602000 184255080448 203222515200 215923922400 230318850560 238672384000 239085312000 254028144000 269904903000 270963353600 276382620672 287898563200 325156024320 338704192000 345478275840 358008576000 359873204000 368510160896 406445030400 431847844800 460637701120 478170624000 508056288000 539809806000 541926707200 552765241344 575797126400 677408384000 690956551680 716017152000 719746408000 812890060800 863695689600 921275402240 1016112576000 1079619612000 1105530482688 1151594252800 1354816768000 1381913103360 1439492816000 1625780121600 1727391379200 1842550804480 2032225152000 2159239224000 2303188505600 2709633536000 2763826206720 2878985632000 3454782758400 4064450304000 4318478448000 4606377011200 5527652413440 5757971264000 6909565516800 8128900608000 8636956896000 9212754022400 11515942528000 13819131033600 17273913792000 23031885056000 27638262067200 34547827584000 46063770112000 69095655168000 138191310336000
- Sum of all divisors σ(n): 491320801228608
- Sum of proper divisors (its aliquot sum) s(n): 353129490892608
- 138191310336000 is an abundant number, because the sum of its proper divisors (353129490892608) is greater than itself. Its abundance is 214938180556608
Bases of 138191310336000
- Binary: 111110110101111001010111111011010110000000000002
- Hexadecimal: 0x7DAF2BF6B000
- Base-36: 1CZG7M6HHC
Squares and roots of 138191310336000
- 138191310336000 squared (1381913103360002) is 19096838252380660432896000000
- 138191310336000 cubed (1381913103360003) is 2639017101371131736686967239213056000000000
-
The
square root of 138191310336000 is 11755480.0129981929 -
The
cube root of 138191310336000 is 51700.3613212355
Scales and comparisons
How big is 138191310336000?- 138,191,310,336,000 seconds is equal to 4,394,056 years, 11 weeks, 1 day, 5 hours, 20 minutes.
-
To count from 1 to 138,191,310,336,000 would take you about ten million, nine hundred eighty-five thousand, one hundred forty 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 138191310336000 cubic inches would be around 4308.4 feet tall.
Recreational maths with 138191310336000
- 138191310336000 backwards is 000633013191831
- The number of decimal digits it has is: 15
- The sum of 138191310336000's digits is 39
- More coming soon!
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The information we have on file for 138191310336000 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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