138346516480000
138,346,516,480,000 is an even composite number composed of six prime numbers multiplied together.
138346516480000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138346516480000:
215 × 54 × 37 × 41 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 37 × 41 × 61 × 73)See below for interesting mathematical facts about the number 138346516480000 from the Numbermatics database.
Names of 138346516480000
- Cardinal: 138346516480000 can be written as One hundred thirty-eight trillion, three hundred forty-six billion, five hundred sixteen million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3834651648 × 1014
Factors of 138346516480000
Divisors of 138346516480000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 41 50 61 64 73 74 80 82 100 122 125 128 146 148 160 164 185 200 205 244 250 256 292 296 305 320 328 365 370 400 410 488 500 512 584 592 610 625 640 656 730 740 800 820 925 976 1000 1024 1025 1168 1184 1220 1250 1280 1312 1460 1480 1517 1525 1600 1640 1825 1850 1952 2000 2048 2050 2257 2336 2368 2440 2500 2501 2560 2624 2701 2920 2960 2993 3034 3050 3200 3280 3650 3700 3904 4000 4096 4100 4453 4514 4625 4672 4736 4880 5000 5002 5120 5125 5248 5402 5840 5920 5986 6068 6100 6400 6560 7300 7400 7585 7625 7808 8000 8192 8200 8906 9028 9125 9250 9344 9472 9760 10000 10004 10240 10250 10496 10804 11285 11680 11840 11972 12136 12200 12505 12800 13120 13505 14600 14800 14965 15170 15250 15616 16000 16384 16400 17812 18056 18250 18500 18688 18944 19520 20000 20008 20480 20500 20992 21608 22265 22570 23125 23360 23680 23944 24272 24400 25010 25600 25625 26240 27010 29200 29600 29930 30340 30500 31232 32000 32768 32800 35624 36112 36500 37000 37376 37888 37925 38125 39040 40000 40016 40960 41000 41984 43216 44530 45140 45625 46250 46720 47360 47888 48544 48800 50020 51200 51250 52480 54020 56425 58400 59200 59860 60680 61000 62464 62525 64000 65600 67525 71248 72224 73000 74000 74752 74825 75776 75850 76250 78080 80000 80032 81920 82000 83968 86432 89060 90280 91250 92500 92537 93440 94720 95776 97088 97600 100040 102400 102500 104960 108040 110741 111325 112850 116800 118400 119720 121360 122000 124928 125050 128000 131200 135050 142496 144448 146000 148000 149504 149650 151552 151700 152500 156160 160000 160064 163840 164000 164761 167936 172864 178120 180560 182500 182573 185000 185074 186880 189440 189625 191552 194176 195200 200080 204800 205000 209920 216080 221482 222650 225700 233600 236800 239440 242720 244000 249856 250100 256000 262400 270100 282125 284992 288896 292000 296000 299008 299300 303104 303400 305000 312320 312625 320000 320128 328000 329522 335872 337625 345728 356240 361120 365000 365146 370000 370148 373760 374125 378880 379250 383104 388352 390400 400160 409600 410000 419840 432160 442964 445300 451400 462685 467200 473600 478880 485440 488000 499712 500200 512000 524800 540200 553705 556625 564250 569984 577792 584000 592000 598016 598600 606208 606800 610000 624640 625250 640000 640256 656000 659044 671744 675250 691456 712480 722240 730000 730292 740000 740296 747520 748250 757760 758500 766208 776704 780800 800320 819200 820000 823805 839680 864320 885928 890600 902800 912865 925370 934400 947200 948125 957760 970880 976000 999424 1000400 1024000 1049600 1080400 1107410 1113250 1128500 1139968 1155584 1168000 1184000 1196032 1197200 1212416 1213600 1220000 1249280 1250500 1280000 1280512 1312000 1318088 1343488 1350500 1382912 1410625 1424960 1444480 1460000 1460584 1480000 1480592 1495040 1496500 1515520 1517000 1532416 1553408 1561600 1563125 1600640 1640000 1647610 1679360 1688125 1728640 1771856 1781200 1805600 1825730 1850740 1868800 1870625 1894400 1896250 1915520 1941760 1952000 1998848 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400160000 409763840 411902500 419840000 421788160 432160000 432332864 442531840 442964000 453595136 455987200 456432500 462233600 462685000 467386880 473789440 478880000 485440000 490373120 512204800 527235200 540416080 553164800 553705000 566993920 569984000 577792000 584233600 592236800 612966400 621363200 624640000 640256000 659044000 674861056 675520100 691456000 708742400 712480000 722240000 729579520 730292000 740296000 747520000 747819008 757760000 758063104 766208000 776704000 800320000 823805000 839680000 843576320 844400125 864320000 864665728 885928000 907190272 911974400 912865000 924467200 925370000 934773760 947578880 957760000 970880000 1024409600 1054470400 1080832160 1106329600 1107410000 1133987840 1139968000 1155584000 1168467200 1184473600 1225932800 1242726400 1249280000 1280512000 1318088000 1349722112 1351040200 1382912000 1417484800 1424960000 1444480000 1460584000 1480592000 1495040000 1495638016 1516126208 1532416000 1553408000 1600640000 1647610000 1687152640 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8859280000 9071902720 9119744000 9244672000 9347737600 9475788800 10244096000 10544704000 10808321600 11063296000 11339878400 11399680000 11555840000 11684672000 11844736000 12259328000 12805120000 13180880000 13497221120 13510402000 13829120000 13834651648 14174848000 14605840000 14805920000 14956380160 15161262080 15324160000 15534080000 16871526400 16888002500 17293314560 17718560000 18143805440 18239488000 18695475200 18951577600 21089408000 21616643200 22679756800 22799360000 23111680000 23369344000 23689472000 25610240000 26361760000 26994442240 27020804000 27658240000 27669303296 28349696000 29211680000 29611840000 29912760320 30648320000 31068160000 33743052800 33776005000 34586629120 35437120000 37390950400 37903155200 42178816000 43233286400 45359513600 45598720000 46223360000 46738688000 47378944000 51220480000 52723520000 54041608000 55316480000 55338606592 56699392000 58423360000 59223680000 61296640000 67486105600 67552010000 69173258240 70874240000 74781900800 75806310400 84357632000 86466572800 90719027200 91197440000 93477376000 94757888000 105447040000 108083216000 110677213184 113398784000 116846720000 118447360000 134972211200 135104020000 138346516480 141748480000 149563801600 168715264000 172933145600 186954752000 189515776000 210894080000 216166432000 221354426368 226797568000 233693440000 236894720000 270208040000 276693032960 283496960000 337430528000 345866291200 373909504000 379031552000 421788160000 432332864000 453595136000 467386880000 473789440000 540416080000 553386065920 566993920000 674861056000 691732582400 747819008000 843576320000 864665728000 934773760000 947578880000 1080832160000 1106772131840 1133987840000 1383465164800 1687152640000 1729331456000 1869547520000 1895157760000 2161664320000 2267975680000 2766930329600 3374305280000 3458662912000 3739095040000 4323328640000 5533860659200 6917325824000 8646657280000 13834651648000 17293314560000 27669303296000 34586629120000 69173258240000 138346516480000
- Sum of all divisors σ(n): 374783647780080
- Sum of proper divisors (its aliquot sum) s(n): 236437131300080
- 138346516480000 is an abundant number, because the sum of its proper divisors (236437131300080) is greater than itself. Its abundance is 98090614820080
Bases of 138346516480000
- Binary: 111110111010011010011101111100010000000000000002
- Hexadecimal: 0x7DD34EF88000
- Base-36: 1D1FIFWSN4
Squares and roots of 138346516480000
- 138346516480000 squared (1383465164800002) is 19139758622150911590400000000
- 138346516480000 cubed (1383465164800003) is 2647918931642623183388296609792000000000000
-
The
square root of 138346516480000 is 11762079.5984383645 -
The
cube root of 138346516480000 is 51719.7094059353
Scales and comparisons
How big is 138346516480000?- 138,346,516,480,000 seconds is equal to 4,398,991 years, 15 weeks, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,346,516,480,000 would take you about ten million, nine hundred ninety-seven thousand, four hundred seventy-eight 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 138346516480000 cubic inches would be around 4310 feet tall.
Recreational maths with 138346516480000
- 138346516480000 backwards is 000084615643831
- The number of decimal digits it has is: 15
- The sum of 138346516480000's digits is 49
- More coming soon!
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The information we have on file for 138346516480000 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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