138426473088000
138,426,473,088,000 is an even composite number composed of six prime numbers multiplied together.
138426473088000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138426473088000:
210 × 32 × 53 × 73 × 1277 × 1289
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 73 × 1277 × 1289)See below for interesting mathematical facts about the number 138426473088000 from the Numbermatics database.
Names of 138426473088000
- Cardinal: 138426473088000 can be written as One hundred thirty-eight trillion, four hundred twenty-six billion, four hundred seventy-three million, eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38426473088 × 1014
Factors of 138426473088000
Divisors of 138426473088000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 73 75 80 90 96 100 120 125 128 144 146 150 160 180 192 200 219 225 240 250 256 288 292 300 320 360 365 375 384 400 438 450 480 500 512 576 584 600 640 657 720 730 750 768 800 876 900 960 1000 1024 1095 1125 1152 1168 1200 1277 1280 1289 1314 1440 1460 1500 1536 1600 1752 1800 1825 1920 2000 2190 2250 2304 2336 2400 2554 2560 2578 2628 2880 2920 3000 3072 3200 3285 3504 3600 3650 3831 3840 3867 4000 4380 4500 4608 4672 4800 5108 5120 5156 5256 5475 5760 5840 6000 6385 6400 6445 6570 7008 7200 7300 7662 7680 7734 8000 8760 9000 9125 9216 9344 9600 10216 10312 10512 10950 11493 11520 11601 11680 12000 12770 12800 12890 13140 14016 14400 14600 15324 15360 15468 16000 16425 17520 18000 18250 18688 19155 19200 19335 20432 20624 21024 21900 22986 23040 23202 23360 24000 25540 25600 25780 26280 27375 28032 28800 29200 30648 30936 31925 32000 32225 32850 35040 36000 36500 37376 38310 38400 38670 40864 41248 42048 43800 45972 46080 46404 46720 48000 51080 51560 52560 54750 56064 57465 57600 58005 58400 61296 61872 63850 64000 64450 65700 70080 72000 73000 74752 76620 76800 77340 81728 82125 82496 84096 87600 91944 92808 93221 93440 94097 95775 96000 96675 102160 103120 105120 109500 112128 114930 115200 116010 116800 122592 123744 127700 128000 128900 131400 140160 144000 146000 153240 154680 159625 161125 163456 164250 164992 168192 175200 183888 185616 186442 186880 188194 191550 192000 193350 204320 206240 210240 219000 224256 229860 230400 232020 233600 245184 247488 255400 257800 262800 279663 280320 282291 287325 288000 290025 292000 306480 309360 319250 322250 326912 328500 329984 336384 350400 367776 371232 372884 373760 376388 383100 384000 386700 408640 412480 420480 438000 459720 464040 466105 467200 470485 478875 483375 490368 494976 510800 515600 525600 559326 560640 564582 574650 576000 580050 584000 612960 618720 638500 644500 653824 657000 659968 672768 700800 735552 742464 745768 752776 766200 773400 817280 824960 838989 840960 846873 876000 919440 928080 932210 934400 940970 957750 966750 980736 989952 1021600 1031200 1051200 1118652 1121280 1129164 1149300 1152000 1160100 1168000 1225920 1237440 1277000 1289000 1307648 1314000 1319936 1398315 1401600 1411455 1436625 1450125 1471104 1484928 1491536 1505552 1532400 1546800 1634560 1646053 1649920 1677978 1681920 1693746 1752000 1838880 1856160 1864420 1868800 1881940 1915500 1933500 1961472 1979904 2043200 2062400 2102400 2237304 2258328 2298600 2320200 2330525 2336000 2352425 2451840 2474880 2554000 2578000 2628000 2796630 2803200 2822910 2873250 2900250 2942208 2969856 2983072 3011104 3064800 3093600 3269120 3292106 3299840 3355956 3363840 3387492 3504000 3677760 3712320 3728840 3763880 3831000 3867000 3922944 3959808 4086400 4124800 4194945 4204800 4234365 4474608 4516656 4597200 4640400 4661050 4672000 4704850 4903680 4938159 4949760 5108000 5156000 5256000 5593260 5606400 5645820 5746500 5800500 5884416 5939712 5966144 6022208 6129600 6187200 6538240 6584212 6599680 6711912 6774984 6991575 7008000 7057275 7355520 7424640 7457680 7527760 7662000 7734000 8172800 8230265 8249600 8389890 8409600 8468730 8949216 9033312 9194400 9280800 9322100 9344000 9409700 9807360 9876318 9899520 10216000 10312000 10512000 11186520 11291640 11493000 11601000 11652625 11762125 11768832 11879424 11932288 12044416 12259200 12374400 13168424 13423824 13549968 13983150 14016000 14114550 14711040 14814477 14849280 14915360 15055520 15324000 15468000 16345600 16460530 16499200 16779780 16819200 16937460 17898432 18066624 18388800 18561600 18644200 18819400 19614720 19752636 19799040 20432000 20624000 20974725 21024000 21171825 22373040 22583280 22986000 23202000 23305250 23524250 23864576 24088832 24518400 24690795 24748800 26336848 26847648 27099936 27966300 28032000 28229100 29422080 29628954 29698560 29830720 30111040 30648000 30936000 32691200 32921060 32998400 33559560 33874920 34957875 35286375 35796864 36133248 36777600 37123200 37288400 37638800 39505272 40864000 41151325 41248000 41949450 42048000 42343650 44746080 45166560 45972000 46404000 46610500 47048500 47729152 48177664 49036800 49381590 49497600 52673696 53695296 54199872 55932600 56458200 58844160 59257908 59397120 59661440 60222080 61296000 61872000 65842120 67119120 67749840 69915750 70572750 71593728 72266496 73555200 74072385 74246400 74576800 75277600 79010544 81728000 82302650 82496000 83898900 84096000 84687300 89492160 90333120 91944000 92808000 93221000 94097000 95458304 96355328 98073600 98763180 98995200 104873625 105347392 105859125 107390592 108399744 111865200 112916400 118515816 119322880 120161869 120444160 122592000 123453975 123744000 131684240 134238240 135499680 139831500 141145500 143187456 144532992 147110400 148144770 148492800 149153600 150555200 158021088 163456000 164605300 164992000 167797800 169374600 178984320 180666240 183888000 185616000 186442000 188194000 197526360 205756625 209747250 210694784 211718250 214781184 216799488 223730400 225832800 237031632 238645760 240323738 240888320 245184000 246907950 247488000 263368480 268476480 270999360 279663000 282291000 286374912 289065984 294220800 296289540 296985600 298307200 301110400 316042176 329210600 335595600 338749200 357968640 360485607 361332480 367776000 370361925 371232000 372884000 376388000 395052720 411513250 419494500 421389568 423436500 429562368 433598976 447460800 451665600 474063264 477291520 480647476 481776640 490368000 493815900 494976000 526736960 536952960 541998720 559326000 564582000 592579080 596614400 600809345 602220800 617269875 632084352 658421200 671191200 677498400 715937280 720971214 722664960 735552000 740723850 742464000 745768000 752776000 790105440 823026500 838989000 842779136 846873000 859124736 867197952 894921600 903331200 948126528 961294952 987631800 1053473920 1073905920 1081456821 1083997440 1118652000 1129164000 1185158160 1193228800 1201618690 1204441600 1234539750 1264168704 1316842400 1342382400 1354996800 1431874560 1441942428 1445329920 1471104000 1481447700 1484928000 1491536000 1505552000 1580210880 1646053000 1677978000 1685558272 1693746000 1789843200 1802428035 1806662400 1851809625 1896253056 1922589904 1975263600 2106947840 2147811840 2162913642 2167994880 2237304000 2258328000 2370316320 2386457600 2403237380 2408883200 2469079500 2528337408 2633684800 2684764800 2709993600 2883884856 2962895400 2983072000 3004046725 3011104000 3160421760 3292106000 3355956000 3387492000 3579686400 3604856070 3613324800 3703619250 3792506112 3845179808 3950527200 4213895680 4295623680 4325827284 4335989760 4474608000 4516656000 4740632640 4806474760 4938159000 5056674816 5267369600 5369529600 5407284105 5419987200 5767769712 5925790800 5966144000 6008093450 6022208000 6320843520 6584212000 6711912000 6774984000 7159372800 7209712140 7226649600 7407238500 7585012224 7690359616 7901054400 8427791360 8651654568 8949216000 9012140175 9033312000 9481265280 9612949520 9876318000 10534739200 10739059200 10814568210 10839974400 11535539424 11851581600 11932288000 12016186900 12044416000 12641687040 13168424000 13423824000 13549968000 14419424280 14814477000 15020233625 15170024448 15380719232 15802108800 17303309136 17898432000 18024280350 18066624000 18962530560 19225899040 19752636000 21069478400 21478118400 21629136420 21679948800 23071078848 23703163200 24032373800 25283374080 26336848000 26847648000 27036420525 27099936000 28838848560 29628954000 30040467250 30761438464 31604217600 34606618272 35796864000 36048560700 36133248000 37925061120 38451798080 39505272000 42138956800 43258272840 45060700875 46142157696 47406326400 48064747600 52673696000 53695296000 54072841050 54199872000 57677697120 59257908000 60080934500 61522876928 63208435200 69213236544 72097121400 75850122240 76903596160 79010544000 86516545680 90121401750 92284315392 94812652800 96129495200 105347392000 107390592000 108145682100 108399744000 115355394240 118515816000 120161869000 123045753856 126416870400 135182102625 138426473088 144194242800 153807192320 158021088000 173033091360 180242803500 184568630784 189625305600 192258990400 210694784000 216291364200 230710788480 237031632000 240323738000 270364205250 276852946176 288388485600 307614384640 316042176000 346066182720 360485607000 369137261568 379250611200 384517980800 432582728400 461421576960 474063264000 480647476000 540728410500 553705892352 576776971200 615228769280 632084352000 692132365440 720971214000 769035961600 865165456800 922843153920 948126528000 961294952000 1081456821000 1107411784704 1153553942400 1384264730880 1441942428000 1538071923200 1730330913600 1845686307840 1896253056000 1922589904000 2162913642000 2307107884800 2768529461760 2883884856000 3076143846400 3460661827200 3845179808000 4325827284000 4614215769600 5537058923520 5767769712000 6921323654400 7690359616000 8651654568000 9228431539200 11535539424000 13842647308800 15380719232000 17303309136000 23071078848000 27685294617600 34606618272000 46142157696000 69213236544000 138426473088000
- Sum of all divisors σ(n): 506451751210080
- Sum of proper divisors (its aliquot sum) s(n): 368025278122080
- 138426473088000 is an abundant number, because the sum of its proper divisors (368025278122080) is greater than itself. Its abundance is 229598805034080
Bases of 138426473088000
- Binary: 111110111100101111011001100000110000100000000002
- Hexadecimal: 0x7DE5ECC18400
- Base-36: 1D2G8S0E80
Squares and roots of 138426473088000
- 138426473088000 squared (1384264730880002) is 19161888451582788255744000000
- 138426473088000 cubed (1384264730880003) is 2652512636058282829487749277417472000000000
-
The
square root of 138426473088000 is 11765478.0220779811 -
The
cube root of 138426473088000 is 51729.6711942225
Scales and comparisons
How big is 138426473088000?- 138,426,473,088,000 seconds is equal to 4,401,533 years, 34 weeks, 3 days, 8 hours.
-
To count from 1 to 138,426,473,088,000 would take you about eleven million, three thousand, eight hundred thirty-four 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 138426473088000 cubic inches would be around 4310.8 feet tall.
Recreational maths with 138426473088000
- 138426473088000 backwards is 000880374624831
- The number of decimal digits it has is: 15
- The sum of 138426473088000's digits is 54
- More coming soon!
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The information we have on file for 138426473088000 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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