138409610240000
138,409,610,240,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138409610240000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1120 divisors.
138409610240000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 138409610240000:
213 × 54 × 11 × 53 × 89 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 53 × 89 × 521)See below for interesting mathematical facts about the number 138409610240000 from the Numbermatics database.
Names of 138409610240000
- Cardinal: 138409610240000 can be written as One hundred thirty-eight trillion, four hundred nine billion, six hundred ten million, two hundred forty thousand.
Scientific notation
- Scientific notation: 1.3840961024 × 1014
Factors of 138409610240000
Divisors of 138409610240000
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 53 55 64 80 88 89 100 106 110 125 128 160 176 178 200 212 220 250 256 265 275 320 352 356 400 424 440 445 500 512 521 530 550 583 625 640 704 712 800 848 880 890 979 1000 1024 1042 1060 1100 1166 1250 1280 1325 1375 1408 1424 1600 1696 1760 1780 1958 2000 2048 2084 2120 2200 2225 2332 2500 2560 2605 2650 2750 2816 2848 2915 3200 3392 3520 3560 3916 4000 4096 4168 4240 4400 4450 4664 4717 4895 5000 5120 5210 5300 5500 5632 5696 5731 5830 6400 6625 6784 6875 7040 7120 7832 8000 8192 8336 8480 8800 8900 9328 9434 9790 10000 10240 10420 10600 11000 11125 11264 11392 11462 11660 12800 13025 13250 13568 13750 14080 14240 14575 15664 16000 16672 16960 17600 17800 18656 18868 19580 20000 20480 20840 21200 22000 22250 22528 22784 22924 23320 23585 24475 25600 26050 26500 27136 27500 27613 28160 28480 28655 29150 31328 32000 33125 33344 33920 35200 35600 37312 37736 39160 40000 40960 41680 42400 44000 44500 45056 45568 45848 46369 46640 47170 48950 51200 51887 52100 53000 54272 55000 55226 55625 56320 56960 57310 58300 62656 64000 65125 66250 66688 67840 70400 71200 72875 74624 75472 78320 80000 83360 84800 88000 89000 90112 91136 91696 92738 93280 94340 97900 102400 103774 104200 106000 108544 110000 110452 111250 112640 113920 114620 116600 117925 122375 125312 128000 130250 132500 133376 135680 138065 140800 142400 143275 145750 149248 150944 156640 160000 166720 169600 176000 178000 182272 183392 185476 186560 188680 195800 204800 207548 208400 212000 217088 220000 220904 222500 225280 227840 229240 231845 233200 235850 244750 250624 256000 259435 260500 265000 266752 271360 276130 281600 284800 286550 291500 298496 301888 303743 313280 320000 325625 333440 339200 352000 356000 364375 364544 366784 370952 373120 377360 391600 415096 416800 424000 434176 440000 441808 445000 450560 455680 458480 463690 466400 471700 489500 501248 510059 512000 518870 521000 530000 533504 542720 552260 563200 569600 573100 583000 589625 596992 603776 607486 611875 626560 640000 651250 666880 678400 690325 704000 712000 716375 728750 729088 733568 741904 746240 754720 783200 830192 833600 848000 880000 883616 890000 911360 916960 927380 932800 943400 979000 1002496 1020118 1024000 1037740 1042000 1060000 1067008 1085440 1104520 1126400 1139200 1146200 1159225 1166000 1179250 1193984 1207552 1214972 1223750 1253120 1280000 1297175 1302500 1333760 1356800 1380650 1408000 1424000 1432750 1457500 1467136 1483808 1492480 1509440 1518715 1566400 1660384 1667200 1696000 1760000 1767232 1780000 1822720 1833920 1854760 1865600 1886800 1958000 2004992 2040236 2075480 2084000 2120000 2134016 2170880 2209040 2252800 2278400 2292400 2318450 2332000 2358500 2387968 2415104 2429944 2447500 2457557 2506240 2550295 2560000 2594350 2605000 2667520 2713600 2761300 2816000 2848000 2865500 2915000 2934272 2948125 2967616 2984960 3018880 3037430 3132800 3320768 3334400 3392000 3451625 3520000 3534464 3560000 3581875 3645440 3667840 3709520 3731200 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19580000 19660456 20049920 20402360 20754800 20840000 21340160 22090400 22784000 22924000 23184500 23320000 23474176 23585000 23740928 23879680 24151040 24299440 24575570 25062400 25502950 25943500 26566144 26675200 27033127 27136000 27613000 28160000 28275712 28480000 28655000 28980625 29342720 29676160 29849600 30188800 30374300 31328000 32429375 32643776 33207680 33344000 33920000 34516250 35344640 36678400 37095200 37312000 37736000 37967875 38641664 38879104 39160000 39320912 40099840 40804720 41509600 41680000 44180800 45568000 45848000 46369000 46640000 46948352 47170000 47481856 48302080 48598880 49151140 50124800 51005900 51887000 53132288 53350400 54066254 54272000 55226000 56320000 56551424 56960000 57310000 57961250 58685440 59352320 59699200 60377600 60748600 61438925 62656000 63757375 64858750 65287552 66415360 66688000 67840000 69032500 70689280 73356800 74190400 74624000 75472000 75935750 77758208 78320000 78641824 81609440 83019200 83360000 88361600 91136000 91696000 92738000 93280000 94340000 94963712 96604160 97197760 98302280 100249600 102011800 103774000 106264576 106700800 108132508 110452000 113102848 113920000 114620000 115922500 117370880 118704640 119398400 120755200 121497200 122877850 125312000 127514750 129717500 130575104 132830720 133376000 135165635 135680000 138065000 141378560 146713600 148380800 149248000 150944000 151871500 155516416 156640000 157283648 163218880 166038400 166720000 176723200 183392000 185476000 186560000 188680000 189839375 189927424 193208320 194395520 196604560 200499200 204023600 207548000 212529152 216265016 220904000 226205696 227840000 229240000 231845000 234741760 237409280 241510400 242994400 245755700 250624000 255029500 259435000 261150208 265661440 266752000 270331270 271360000 276130000 282757120 293427200 296761600 298496000 301888000 303743000 307194625 311032832 313280000 314567296 318786875 326437760 332076800 333440000 353446400 366784000 370952000 373120000 377360000 379678750 379854848 388791040 393209120 408047200 415096000 425058304 432530032 441808000 455680000 458480000 463690000 474818560 483020800 485988800 491511400 501248000 510059000 518870000 522300416 531322880 533504000 540662540 552260000 565514240 586854400 593523200 596992000 603776000 607486000 614389250 622065664 626560000 629134592 637573750 652875520 664153600 666880000 675828175 706892800 733568000 741904000 746240000 754720000 759357500 777582080 786418240 816094400 830192000 865060064 883616000 916960000 927380000 949637120 966041600 971977600 983022800 1002496000 1020118000 1037740000 1044600832 1062645760 1081325080 1104520000 1131028480 1173708800 1187046400 1207552000 1214972000 1228778500 1244131328 1253120000 1258269184 1275147500 1305751040 1328307200 1333760000 1351656350 1413785600 1467136000 1483808000 1492480000 1509440000 1518715000 1535973125 1555164160 1572836480 1632188800 1660384000 1730120128 1767232000 1833920000 1854760000 1899274240 1943955200 1966045600 2040236000 2075480000 2089201664 2125291520 2162650160 2209040000 2374092800 2415104000 2429944000 2457557000 2488262656 2506240000 2516538368 2550295000 2611502080 2656614400 2667520000 2703312700 2827571200 2934272000 2967616000 2984960000 3018880000 3037430000 3071946250 3110328320 3145672960 3264377600 3320768000 3379140875 3460240256 3534464000 3667840000 3709520000 3887910400 3932091200 4080472000 4150960000 4178403328 4325300320 4418080000 4748185600 4830208000 4859888000 4915114000 5012480000 5033076736 5100590000 5223004160 5313228800 5406625400 5655142400 5868544000 5935232000 6037760000 6074860000 6143892500 6220656640 6291345920 6528755200 6641536000 6758281750 6920480512 7068928000 7335680000 7419040000 7775820800 7864182400 8160944000 8301920000 8650600640 8836160000 9496371200 9719776000 9830228000 10066153472 10201180000 10446008320 10626457600 10813250800 11870464000 12075520000 12149720000 12287785000 12441313280 12582691840 13057510400 13283072000 13516563500 13840961024 14137856000 14671360000 14838080000 15551641600 15728364800 16321888000 16603840000 16895704375 17301201280 17672320000 19439552000 19660456000 20132306944 20402360000 20892016640 21626501600 23740928000 24151040000 24299440000 24575570000 25165383680 26115020800 26566144000 27033127000 27681922048 28275712000 29342720000 29676160000 31103283200 31456729600 32643776000 33207680000 33791408750 34602402560 35344640000 38879104000 39320912000 40804720000 43253003200 47481856000 48598880000 49151140000 50330767360 52230041600 53132288000 54066254000 55363844096 59352320000 62206566400 62913459200 65287552000 66415360000 67582817500 69204805120 70689280000 77758208000 78641824000 81609440000 86506006400 97197760000 98302280000 100661534720 104460083200 108132508000 110727688192 118704640000 125826918400 130575104000 132830720000 135165635000 138409610240 141378560000 155516416000 157283648000 163218880000 173012012800 194395520000 196604560000 216265016000 221455376384 237409280000 251653836800 261150208000 265661440000 270331270000 276819220480 311032832000 314567296000 326437760000 346024025600 388791040000 393209120000 432530032000 503307673600 522300416000 540662540000 553638440960 629134592000 652875520000 692048051200 777582080000 786418240000 865060064000 1081325080000 1107276881920 1258269184000 1305751040000 1384096102400 1555164160000 1572836480000 1730120128000 2162650160000 2516538368000 2611502080000 2768192204800 3145672960000 3460240256000 4325300320000 5536384409600 6291345920000 6920480512000 8650600640000 12582691840000 13840961024000 17301201280000 27681922048000 34602402560000 69204805120000 138409610240000
- Sum of all divisors σ(n): 389522441293920
- Sum of proper divisors (its aliquot sum) s(n): 251112831053920
- 138409610240000 is an abundant number, because the sum of its proper divisors (251112831053920) is greater than itself. Its abundance is 112703220813920
Bases of 138409610240000
- Binary: 111110111100001111111111010011011100000000000002
- Hexadecimal: 0x7DE1FFA6E000
- Base-36: 1D28HWB1FK
Squares and roots of 138409610240000
- 138409610240000 squared (1384096102400002) is 19157220206788712857600000000
- 138409610240000 cubed (1384096102400003) is 2651543382103477948651692621824000000000000
-
The
square root of 138409610240000 is 11764761.3762455887 -
The
cube root of 138409610240000 is 51727.5705724113
Scales and comparisons
How big is 138409610240000?- 138,409,610,240,000 seconds is equal to 4,400,997 years, 24 weeks, 5 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,409,610,240,000 would take you about eleven million, two thousand, four hundred ninety-three 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 138409610240000 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138409610240000
- 138409610240000 backwards is 000042016904831
- The number of decimal digits it has is: 15
- The sum of 138409610240000's digits is 38
- More coming soon!
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The information we have on file for 138409610240000 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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