4138901034464000
4,138,901,034,464,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 4138901034464000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
4138901034464000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 4138901034464000:
28 × 53 × 7 × 1812 × 7512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 181 × 181 × 751 × 751)See below for interesting mathematical facts about the number 4138901034464000 from the Numbermatics database.
Names of 4138901034464000
- Cardinal: 4138901034464000 can be written as Four quadrillion, one hundred thirty-eight trillion, nine hundred one billion, thirty-four million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.138901034464 × 1015
Factors of 4138901034464000
Divisors of 4138901034464000
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 181 200 224 250 256 280 320 350 362 400 448 500 560 640 700 724 751 800 875 896 905 1000 1120 1267 1280 1400 1448 1502 1600 1750 1792 1810 2000 2240 2534 2800 2896 3004 3200 3500 3620 3755 4000 4480 4525 5068 5257 5600 5792 6008 6335 6400 7000 7240 7510 8000 8960 9050 10136 10514 11200 11584 12016 12670 14000 14480 15020 16000 18100 18775 20272 21028 22400 22625 23168 24032 25340 26285 28000 28960 30040 31675 32000 32761 36200 37550 40544 42056 44800 45250 46336 48064 50680 52570 56000 57920 60080 63350 65522 72400 75100 81088 84112 90500 93875 96128 101360 105140 112000 115840 120160 126700 131044 131425 135931 144800 150200 158375 162176 163805 168224 181000 187750 192256 202720 210280 224000 229327 231680 240320 253400 262088 262850 271862 289600 300400 316750 324352 327610 336448 362000 375500 405440 420560 458654 480640 506800 524176 525700 543724 564001 579200 600800 633500 655220 657125 672896 679655 724000 751000 810880 819025 841120 917308 951517 961280 1013600 1048352 1051400 1087448 1128002 1146635 1158400 1201600 1267000 1310440 1314250 1345792 1359310 1448000 1502000 1621760 1638050 1682240 1834616 1903034 2027200 2096704 2102800 2174896 2256004 2293270 2403200 2534000 2620880 2628500 2718620 2820005 2896000 3004000 3276100 3364480 3398275 3669232 3806068 3948007 4054400 4095125 4193408 4205600 4349792 4512008 4586540 4757585 4806400 5068000 5241760 5257000 5437240 5640010 5733175 5792000 6008000 6552200 6728960 6796550 7338464 7612136 7896014 8108800 8190250 8386816 8411200 8699584 9024016 9173080 9515170 10136000 10483520 10514000 10874480 11280020 11466350 12016000 13104400 13593100 14100025 14676928 15224272 15792028 16380500 16822400 16991375 17399168 18048032 18346160 19030340 19740035 20272000 20967040 21028000 21748960 22560040 22932700 23787925 24032000 24603511 26208800 27186200 28200050 28665875 29353856 30448544 31584056 32761000 33644800 33982750 34798336 36096064 36692320 38060680 39480070 40544000 41934080 42056000 43497920 45120080 45865400 47575850 49207022 52417600 54372400 56400100 57331750 58707712 60897088 63168112 65522000 67965500 70500125 72192128 73384640 76121360 78960140 84112000 86995840 90240160 91730800 95151700 98414044 98700175 102084181 104835200 108744800 112800200 114663500 118939625 121794176 123017555 126336224 131044000 135931000 141000250 144384256 146769280 152242720 157920280 168224000 172224577 173991680 180480320 183461600 190303400 196828088 197400350 204168362 209670400 217489600 225600400 229327000 237879250 243588352 246035110 252672448 262088000 271862000 282000500 293538560 304485440 315840560 344449154 360960640 366923200 380606800 393656176 394800700 408336724 434979200 451200800 458654000 475758500 492070220 493500875 505344896 510420905 524176000 543724000 564001000 608970880 615087775 631681120 688898308 714589267 721921280 733846400 761213600 787312352 789601400 816673448 861122885 869958400 902401600 917308000 951517000 984140440 987001750 1010689792 1020841810 1048352000 1087448000 1128002000 1217941760 1230175550 1263362240 1377796616 1429178534 1467692800 1522427200 1574624704 1579202800 1633346896 1722245770 1804803200 1834616000 1903034000 1968280880 1974003500 2041683620 2174896000 2256004000 2460351100 2526724480 2552104525 2755593232 2858357068 3044854400 3075438875 3149249408 3158405600 3266693792 3444491540 3572946335 3609606400 3669232000 3806068000 3936561760 3948007000 4083367240 4305614425 4349792000 4512008000 4920702200 5053448960 5104209050 5511186464 5716714136 6089708800 6150877750 6298498816 6316811200 6533387584 6888983080 7145892670 7338464000 7612136000 7873123520 7896014000 8166734480 8611228850 9024016000 9841404400 10208418100 11022372928 11433428272 12301755500 12633622400 12760522625 13066775168 13777966160 14291785340 15224272000 15746247040 15792028000 16333468960 17222457700 17864731675 18048032000 18477236761 19682808800 20416836200 21528072125 22044745856 22866856544 24603511000 25267244800 25521045250 26133550336 27555932320 28583570680 30448544000 31492494080 31584056000 32666937920 34444915400 35729463350 36954473522 39365617600 40833672400 43056144250 44089491712 45733713088 49207022000 51042090500 55111864640 57167141360 63168112000 65333875840 68889830800 71458926700 73908947044 78731235200 81667344800 86112288500 89323658375 91467426176 92386183805 98414044000 102084181000 110223729280 114334282720 126336224000 129340657327 130667751680 137779661600 142917853400 147817894088 157462470400 163334689600 172224577000 178647316750 182934852352 184772367610 196828088000 204168362000 220447458560 228668565440 258681314654 275559323200 285835706800 295635788176 326669379200 344449154000 357294633500 369544735220 393656176000 408336724000 457337130880 461930919025 517362629308 551118646400 571671413600 591271576352 646703286635 653338758400 688898308000 714589267000 739089470440 787312352000 816673448000 914674261760 923861838050 1034725258616 1102237292800 1143342827200 1182543152704 1293406573270 1377796616000 1429178534000 1478178940880 1633346896000 1847723676100 2069450517232 2286685654400 2309654595125 2365086305408 2586813146540 2755593232000 2858357068000 2956357881760 3233516433175 3266693792000 3695447352200 4138901034464 4573371308800 4619309190250 4730172610816 5173626293080 5511186464000 5716714136000 5912715763520 6467032866350 7390894704400 8277802068928 9238618380500 10347252586160 11433428272000 11825431527040 12934065732700 14781789408800 16167582165875 16555604137856 18477236761000 20694505172320 22866856544000 23650863054080 25868131465400 29563578817600 32335164331750 33111208275712 36954473522000 41389010344640 51736262930800 59127157635200 64670328663500 73908947044000 82778020689280 103472525861600 118254315270400 129340657327000 147817894088000 165556041378560 206945051723200 258681314654000 295635788176000 413890103446400 517362629308000 591271576352000 827780206892800 1034725258616000 2069450517232000 4138901034464000
- Sum of all divisors σ(n): 11864711387404512
- Sum of proper divisors (its aliquot sum) s(n): 7725810352940512
- 4138901034464000 is an abundant number, because the sum of its proper divisors (7725810352940512) is greater than itself. Its abundance is 3586909318476512
Bases of 4138901034464000
- Binary: 11101011010001001110111111011110101101110011000000002
- Hexadecimal: 0xEB44EFDEB7300
- Base-36: 14R48VWNTVK
Squares and roots of 4138901034464000
- 4138901034464000 squared (41389010344640002) is 17130501773087169315767296000000
- 4138901034464000 cubed (41389010344640003) is 70901451509517871275874780480300089344000000000
-
The
square root of 4138901034464000 is 64334291.2797211127 -
The
cube root of 4138901034464000 is 160556.6682265233
Scales and comparisons
How big is 4138901034464000?- 4,138,901,034,464,000 seconds is equal to 131,604,250 years, 22 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 4,138,901,034,464,000 would take you about three hundred ninety-four million, eight hundred twelve thousand, seven hundred fifty-one 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 4138901034464000 cubic inches would be around 13379.7 feet tall.
Recreational maths with 4138901034464000
- 4138901034464000 backwards is 0004644301098314
- The number of decimal digits it has is: 16
- The sum of 4138901034464000's digits is 47
- More coming soon!
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