138110042112000
138,110,042,112,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138110042112000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 992 divisors.
138110042112000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred ninety-two divisors.
Prime factorization of 138110042112000:
230 × 3 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7)See below for interesting mathematical facts about the number 138110042112000 from the Numbermatics database.
Names of 138110042112000
- Cardinal: 138110042112000 can be written as One hundred thirty-eight trillion, one hundred ten billion, forty-two million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38110042112 × 1014
Factors of 138110042112000
Divisors of 138110042112000
- Number of divisors d(n): 992
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 512 525 560 588 600 640 672 686 700 735 750 768 784 800 840 875 896 960 980 1000 1024 1029 1050 1120 1176 1200 1225 1280 1344 1372 1400 1470 1500 1536 1568 1600 1680 1715 1750 1792 1920 1960 2000 2048 2058 2100 2240 2352 2400 2450 2560 2625 2688 2744 2800 2940 3000 3072 3136 3200 3360 3430 3500 3584 3675 3840 3920 4000 4096 4116 4200 4480 4704 4800 4900 5120 5145 5250 5376 5488 5600 5880 6000 6125 6144 6272 6400 6720 6860 7000 7168 7350 7680 7840 8000 8192 8232 8400 8575 8960 9408 9600 9800 10240 10290 10500 10752 10976 11200 11760 12000 12250 12288 12544 12800 13440 13720 14000 14336 14700 15360 15680 16000 16384 16464 16800 17150 17920 18375 18816 19200 19600 20480 20580 21000 21504 21952 22400 23520 24000 24500 24576 25088 25600 25725 26880 27440 28000 28672 29400 30720 31360 32000 32768 32928 33600 34300 35840 36750 37632 38400 39200 40960 41160 42000 42875 43008 43904 44800 47040 48000 49000 49152 50176 51200 51450 53760 54880 56000 57344 58800 61440 62720 64000 65536 65856 67200 68600 71680 73500 75264 76800 78400 81920 82320 84000 85750 86016 87808 89600 94080 96000 98000 98304 100352 102400 102900 107520 109760 112000 114688 117600 122880 125440 128000 128625 131072 131712 134400 137200 143360 147000 150528 153600 156800 163840 164640 168000 171500 172032 175616 179200 188160 192000 196000 196608 200704 204800 205800 215040 219520 224000 229376 235200 245760 250880 256000 257250 262144 263424 268800 274400 286720 294000 301056 307200 313600 327680 329280 336000 343000 344064 351232 358400 376320 384000 392000 393216 401408 409600 411600 430080 439040 448000 458752 470400 491520 501760 512000 514500 524288 526848 537600 548800 573440 588000 602112 614400 627200 655360 658560 672000 686000 688128 702464 716800 752640 768000 784000 786432 802816 819200 823200 860160 878080 896000 917504 940800 983040 1003520 1024000 1029000 1048576 1053696 1075200 1097600 1146880 1176000 1204224 1228800 1254400 1310720 1317120 1344000 1372000 1376256 1404928 1433600 1505280 1536000 1568000 1572864 1605632 1638400 1646400 1720320 1756160 1792000 1835008 1881600 1966080 2007040 2048000 2058000 2097152 2107392 2150400 2195200 2293760 2352000 2408448 2457600 2508800 2621440 2634240 2688000 2744000 2752512 2809856 2867200 3010560 3072000 3136000 3145728 3211264 3276800 3292800 3440640 3512320 3584000 3670016 3763200 3932160 4014080 4096000 4116000 4194304 4214784 4300800 4390400 4587520 4704000 4816896 4915200 5017600 5242880 5268480 5376000 5488000 5505024 5619712 5734400 6021120 6144000 6272000 6291456 6422528 6553600 6585600 6881280 7024640 7168000 7340032 7526400 7864320 8028160 8192000 8232000 8388608 8429568 8601600 8780800 9175040 9408000 9633792 9830400 10035200 10485760 10536960 10752000 10976000 11010048 11239424 11468800 12042240 12288000 12544000 12582912 12845056 13107200 13171200 13762560 14049280 14336000 14680064 15052800 15728640 16056320 16384000 16464000 16777216 16859136 17203200 17561600 18350080 18816000 19267584 19660800 20070400 20971520 21073920 21504000 21952000 22020096 22478848 22937600 24084480 24576000 25088000 25165824 25690112 26214400 26342400 27525120 28098560 28672000 29360128 30105600 31457280 32112640 32768000 32928000 33554432 33718272 34406400 35123200 36700160 37632000 38535168 39321600 40140800 41943040 42147840 43008000 43904000 44040192 44957696 45875200 48168960 49152000 50176000 50331648 51380224 52428800 52684800 55050240 56197120 57344000 58720256 60211200 62914560 64225280 65536000 65856000 67108864 67436544 68812800 70246400 73400320 75264000 77070336 78643200 80281600 83886080 84295680 86016000 87808000 88080384 89915392 91750400 96337920 98304000 100352000 100663296 102760448 104857600 105369600 110100480 112394240 114688000 117440512 120422400 125829120 128450560 131072000 131712000 134217728 134873088 137625600 140492800 146800640 150528000 154140672 157286400 160563200 167772160 168591360 172032000 175616000 176160768 179830784 183500800 192675840 196608000 200704000 201326592 205520896 209715200 210739200 220200960 224788480 229376000 234881024 240844800 251658240 256901120 262144000 263424000 268435456 269746176 275251200 280985600 293601280 301056000 308281344 314572800 321126400 335544320 337182720 344064000 351232000 352321536 359661568 367001600 385351680 393216000 401408000 402653184 411041792 419430400 421478400 440401920 449576960 458752000 469762048 481689600 503316480 513802240 524288000 526848000 536870912 539492352 550502400 561971200 587202560 602112000 616562688 629145600 642252800 671088640 674365440 688128000 702464000 704643072 719323136 734003200 770703360 786432000 802816000 805306368 822083584 838860800 842956800 880803840 899153920 917504000 939524096 963379200 1006632960 1027604480 1048576000 1053696000 1073741824 1078984704 1101004800 1123942400 1174405120 1204224000 1233125376 1258291200 1284505600 1342177280 1348730880 1376256000 1404928000 1409286144 1438646272 1468006400 1541406720 1572864000 1605632000 1610612736 1644167168 1677721600 1685913600 1761607680 1798307840 1835008000 1879048192 1926758400 2013265920 2055208960 2097152000 2107392000 2157969408 2202009600 2247884800 2348810240 2408448000 2466250752 2516582400 2569011200 2684354560 2697461760 2752512000 2809856000 2818572288 2877292544 2936012800 3082813440 3145728000 3211264000 3221225472 3288334336 3355443200 3371827200 3523215360 3596615680 3670016000 3758096384 3853516800 4026531840 4110417920 4194304000 4214784000 4315938816 4404019200 4495769600 4697620480 4816896000 4932501504 5033164800 5138022400 5368709120 5394923520 5505024000 5619712000 5637144576 5754585088 5872025600 6165626880 6291456000 6422528000 6576668672 6710886400 6743654400 7046430720 7193231360 7340032000 7516192768 7707033600 8053063680 8220835840 8388608000 8429568000 8631877632 8808038400 8991539200 9395240960 9633792000 9865003008 10066329600 10276044800 10789847040 11010048000 11239424000 11274289152 11509170176 11744051200 12331253760 12582912000 12845056000 13153337344 13421772800 13487308800 14092861440 14386462720 14680064000 15414067200 16106127360 16441671680 16777216000 16859136000 17263755264 17616076800 17983078400 18790481920 19267584000 19730006016 20132659200 20552089600 21579694080 22020096000 22478848000 22548578304 23018340352 23488102400 24662507520 25165824000 25690112000 26306674688 26843545600 26974617600 28185722880 28772925440 29360128000 30828134400 32883343360 33554432000 33718272000 34527510528 35232153600 35966156800 37580963840 38535168000 39460012032 40265318400 41104179200 43159388160 44040192000 44957696000 46036680704 46976204800 49325015040 50331648000 51380224000 52613349376 53949235200 56371445760 57545850880 58720256000 61656268800 65766686720 67108864000 67436544000 69055021056 70464307200 71932313600 77070336000 78920024064 80530636800 82208358400 86318776320 88080384000 89915392000 92073361408 93952409600 98650030080 100663296000 102760448000 107898470400 112742891520 115091701760 117440512000 123312537600 131533373440 134217728000 134873088000 138110042112 140928614400 143864627200 154140672000 157840048128 164416716800 172637552640 176160768000 179830784000 184146722816 187904819200 197300060160 201326592000 205520896000 215796940800 230183403520 234881024000 246625075200 263066746880 269746176000 276220084224 281857228800 287729254400 308281344000 328833433600 345275105280 352321536000 359661568000 368293445632 394600120320 402653184000 411041792000 431593881600 460366807040 469762048000 493250150400 539492352000 552440168448 563714457600 575458508800 616562688000 657666867200 690550210560 704643072000 719323136000 789200240640 822083584000 863187763200 920733614080 939524096000 986500300800 1078984704000 1104880336896 1150917017600 1233125376000 1315333734400 1381100421120 1409286144000 1438646272000 1644167168000 1726375526400 1841467228160 1973000601600 2157969408000 2301834035200 2466250752000 2762200842240 2818572288000 2877292544000 3288334336000 3452751052800 3946001203200 4315938816000 4603668070400 4932501504000 5524401684480 5754585088000 6576668672000 6905502105600 8631877632000 9207336140800 9865003008000 11509170176000 13811004211200 17263755264000 19730006016000 23018340352000 27622008422400 34527510528000 46036680704000 69055021056000 138110042112000
- Sum of all divisors σ(n): 536011918291200
- Sum of proper divisors (its aliquot sum) s(n): 397901876179200
- 138110042112000 is an abundant number, because the sum of its proper divisors (397901876179200) is greater than itself. Its abundance is 259791834067200
Bases of 138110042112000
- Binary: 111110110011100010000000000000000000000000000002
- Hexadecimal: 0x7D9C40000000
- Base-36: 1CYEVL6EIO
Squares and roots of 138110042112000
- 138110042112000 squared (1381100421120002) is 19074383732178413420544000000
- 138110042112000 cubed (1381100421120003) is 2634363940511608407008677805948928000000000
-
The
square root of 138110042112000 is 11752022.8944637441 -
The
cube root of 138110042112000 is 51690.2245998177
Scales and comparisons
How big is 138110042112000?- 138,110,042,112,000 seconds is equal to 4,391,472 years, 7 weeks, 18 hours, 40 minutes.
-
To count from 1 to 138,110,042,112,000 would take you about ten million, nine hundred seventy-eight thousand, six hundred eighty 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 138110042112000 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138110042112000
- 138110042112000 backwards is 000211240011831
- 138110042112000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138110042112000's digits is 24
- More coming soon!
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The information we have on file for 138110042112000 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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