138361192320000
138,361,192,320,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138361192320000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 990 divisors.
138361192320000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred ninety divisors.
Prime factorization of 138361192320000:
210 × 3 × 54 × 132 × 6532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 653 × 653)See below for interesting mathematical facts about the number 138361192320000 from the Numbermatics database.
Names of 138361192320000
- Cardinal: 138361192320000 can be written as One hundred thirty-eight trillion, three hundred sixty-one billion, one hundred ninety-two million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3836119232 × 1014
Factors of 138361192320000
Divisors of 138361192320000
- Number of divisors d(n): 990
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 169 192 195 200 208 240 250 256 260 300 312 320 325 338 375 384 390 400 416 480 500 507 512 520 600 624 625 640 650 653 676 750 768 780 800 832 845 960 975 1000 1014 1024 1040 1200 1248 1250 1280 1300 1306 1352 1500 1536 1560 1600 1625 1664 1690 1875 1920 1950 1959 2000 2028 2080 2400 2496 2500 2535 2560 2600 2612 2704 3000 3072 3120 3200 3250 3265 3328 3380 3750 3840 3900 3918 4000 4056 4160 4225 4800 4875 4992 5000 5070 5120 5200 5224 5408 6000 6240 6400 6500 6530 6656 6760 7500 7680 7800 7836 8000 8112 8125 8320 8450 8489 9600 9750 9795 9984 10000 10140 10400 10448 10816 12000 12480 12675 12800 13000 13060 13312 13520 15000 15360 15600 15672 16000 16224 16250 16325 16640 16900 16978 19200 19500 19590 19968 20000 20280 20800 20896 21125 21632 24000 24375 24960 25350 25467 25600 26000 26120 27040 30000 31200 31344 32000 32448 32500 32650 33280 33800 33956 38400 39000 39180 39936 40000 40560 41600 41792 42250 42445 43264 48000 48750 48975 49920 50700 50934 52000 52240 54080 60000 62400 62688 63375 64000 64896 65000 65300 66560 67600 67912 76800 78000 78360 80000 81120 81625 83200 83584 84500 84890 86528 96000 97500 97950 99840 101400 101868 104000 104480 105625 108160 110357 120000 124800 125376 126750 127335 128000 129792 130000 130600 135200 135824 156000 156720 160000 162240 163250 166400 167168 169000 169780 173056 192000 195000 195900 199680 202800 203736 208000 208960 211250 212225 216320 220714 240000 244875 249600 250752 253500 254670 259584 260000 261200 270400 271648 312000 313440 316875 320000 324480 326500 331071 332800 334336 338000 339560 384000 390000 391800 405600 407472 408125 416000 417920 422500 424450 426409 432640 441428 480000 489750 499200 501504 507000 509340 519168 520000 522400 540800 543296 551785 624000 626880 633750 636675 640000 648960 653000 662142 668672 676000 679120 780000 783600 811200 814944 816250 832000 835840 845000 848900 852818 865280 882856 960000 979500 998400 1003008 1014000 1018680 1040000 1044800 1061125 1081600 1086592 1103570 1224375 1248000 1253760 1267500 1273350 1279227 1297920 1306000 1324284 1352000 1358240 1560000 1567200 1622400 1629888 1632500 1655355 1664000 1671680 1690000 1697800 1705636 1765712 1920000 1959000 2006016 2028000 2037360 2080000 2089600 2122250 2132045 2163200 2173184 2207140 2448750 2496000 2507520 2535000 2546700 2558454 2595840 2612000 2648568 2704000 2716480 2758925 3120000 3134400 3183375 3244800 3259776 3265000 3310710 3343360 3380000 3395600 3411272 3531424 3918000 4056000 4074720 4160000 4179200 4244500 4264090 4326400 4346368 4414280 4897500 4992000 5015040 5070000 5093400 5116908 5224000 5297136 5305625 5408000 5432960 5517850 5543317 6240000 6268800 6366750 6396135 6489600 6519552 6530000 6621420 6760000 6791200 6822544 7062848 7836000 8112000 8149440 8276775 8320000 8358400 8489000 8528180 8692736 8828560 9795000 10030080 10140000 10186800 10233816 10448000 10594272 10611250 10660225 10816000 10865920 11035700 11086634 12480000 12537600 12733500 12792270 12979200 13039104 13060000 13242840 13520000 13582400 13645088 13794625 14125696 15672000 15916875 16224000 16298880 16553550 16629951 16716800 16978000 17056360 17657120 19590000 20280000 20373600 20467632 20896000 21188544 21222500 21320450 21632000 21731840 22071400 22173268 24960000 25075200 25467000 25584540 26078208 26120000 26485680 27040000 27164800 27290176 27589250 27716585 28251392 31344000 31833750 31980675 32448000 32597760 33107100 33259902 33956000 34112720 35314240 39180000 40560000 40747200 40935264 41383875 41792000 42377088 42445000 42640900 43463680 44142800 44346536 50150400 50934000 51169080 52240000 52971360 53301125 54080000 54329600 54580352 55178500 55433170 56502784 62688000 63667500 63961350 64896000 65195520 66214200 66519804 67912000 68225440 68973125 70628480 72063121 78360000 81120000 81494400 81870528 82767750 83149755 83584000 84754176 84890000 85281800 88285600 88693072 101868000 102338160 104480000 105942720 106602250 108160000 108659200 109160704 110357000 110866340 113005568 125376000 127335000 127922700 130391040 132428400 133039608 135824000 136450880 137946250 138582925 141256960 144126242 156720000 159903375 162240000 162988800 163741056 165535500 166299510 169508352 169780000 170563600 176571200 177386144 203736000 204676320 206919375 208960000 211885440 213204500 216189363 217318400 218321408 220714000 221732680 250752000 254670000 255845400 264856800 266079216 266505625 271648000 272901760 275892500 277165850 282513920 288252484 313440000 319806750 324480000 325977600 327482112 331071000 332599020 339016704 339560000 341127200 353142400 354772288 360315605 407472000 409352640 413838750 415748775 417920000 423770880 426409000 432378726 436642816 441428000 443465360 509340000 511690800 529713600 532158432 533011250 543296000 545803520 551785000 554331700 565027840 576504968 626880000 639613500 651955200 654964224 662142000 665198040 679120000 682254400 692914625 706284800 709544576 720631210 799516875 814944000 818705280 827677500 831497550 847541760 852818000 864757452 882856000 886930720 1018680000 1023381600 1059427200 1064316864 1066022500 1080946815 1086592000 1091607040 1103570000 1108663400 1153009936 1253760000 1279227000 1309928448 1324284000 1330396080 1358240000 1364508800 1385829250 1412569600 1419089152 1441262420 1599033750 1629888000 1637410560 1655355000 1662995100 1695083520 1705636000 1729514904 1765712000 1773861440 1801578025 2037360000 2046763200 2078743875 2118854400 2128633728 2132045000 2161893630 2183214080 2207140000 2217326800 2306019872 2558454000 2648568000 2660792160 2716480000 2729017600 2771658500 2825139200 2838178304 2882524840 3198067500 3259776000 3274821120 3310710000 3325990200 3411272000 3459029808 3464573125 3531424000 3547722880 3603156050 4074720000 4093526400 4157487750 4237708800 4257267456 4264090000 4323787260 4414280000 4434653600 4612039744 5116908000 5297136000 5321584320 5404734075 5432960000 5458035200 5543317000 5676356608 5765049680 6396135000 6549642240 6621420000 6651980400 6822544000 6918059616 6929146250 7062848000 7095445760 7206312100 8149440000 8187052800 8314975500 8475417600 8514534912 8528180000 8647574520 8828560000 8869307200 9007890125 9224079488 10233816000 10393719375 10594272000 10643168640 10809468150 10916070400 11086634000 11530099360 12792270000 13242840000 13303960800 13645088000 13836119232 13858292500 14125696000 14190891520 14412624200 16298880000 16374105600 16629951000 17029069824 17056360000 17295149040 17657120000 17738614400 18015780250 18448158976 20467632000 20787438750 21188544000 21286337280 21618936300 22173268000 23060198720 25584540000 26485680000 26607921600 27023670375 27290176000 27672238464 27716585000 28381783040 28825248400 32748211200 33259902000 34112720000 34590298080 35314240000 35477228800 36031560500 36896317952 40935264000 41574877500 42377088000 42572674560 43237872600 44346536000 45039450625 46120397440 51169080000 52971360000 53215843200 54047340750 54580352000 55344476928 55433170000 57650496800 66519804000 68225440000 69180596160 70628480000 70954457600 72063121000 73792635904 81870528000 83149755000 85145349120 86475745200 88693072000 90078901250 92240794880 102338160000 105942720000 106431686400 108094681500 110688953856 110866340000 115300993600 133039608000 135118351875 136450880000 138361192320 141908915200 144126242000 163741056000 166299510000 172951490400 177386144000 180157802500 184481589760 204676320000 211885440000 212863372800 216189363000 221377907712 221732680000 230601987200 266079216000 270236703750 272901760000 276722384640 288252484000 332599020000 345902980800 354772288000 360315605000 368963179520 409352640000 425726745600 432378726000 443465360000 461203974400 532158432000 540473407500 553444769280 576504968000 665198040000 691805961600 709544576000 720631210000 818705280000 864757452000 886930720000 922407948800 1064316864000 1080946815000 1106889538560 1153009936000 1330396080000 1383611923200 1441262420000 1729514904000 1773861440000 1844815897600 2128633728000 2161893630000 2306019872000 2660792160000 2767223846400 2882524840000 3459029808000 3547722880000 4323787260000 4612039744000 5321584320000 5534447692800 5765049680000 6918059616000 8647574520000 9224079488000 10643168640000 11530099360000 13836119232000 17295149040000 23060198720000 27672238464000 34590298080000 46120397440000 69180596160000 138361192320000
- Sum of all divisors σ(n): 499771980720012
- Sum of proper divisors (its aliquot sum) s(n): 361410788400012
- 138361192320000 is an abundant number, because the sum of its proper divisors (361410788400012) is greater than itself. Its abundance is 223049596080012
Bases of 138361192320000
- Binary: 111110111010110101110011011100000001100000000002
- Hexadecimal: 0x7DD6B9B80C00
- Base-36: 1D1M95IZ9C
Squares and roots of 138361192320000
- 138361192320000 squared (1383611923200002) is 19143819540212026982400000000
- 138361192320000 cubed (1383611923200003) is 2648761697142650238888875655168000000000000
-
The
square root of 138361192320000 is 11762703.4443617595 -
The
cube root of 138361192320000 is 51721.5381553721
Scales and comparisons
How big is 138361192320000?- 138,361,192,320,000 seconds is equal to 4,399,457 years, 48 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 138,361,192,320,000 would take you about ten million, nine hundred ninety-eight thousand, six hundred forty-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 138361192320000 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138361192320000
- 138361192320000 backwards is 000023291163831
- 138361192320000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138361192320000's digits is 39
- More coming soon!
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The information we have on file for 138361192320000 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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