40468894400000
40,468,894,400,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 40468894400000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
40468894400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 40468894400000:
29 × 55 × 11 × 17 × 135257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 11 × 17 × 135257)See below for interesting mathematical facts about the number 40468894400000 from the Numbermatics database.
Names of 40468894400000
- Cardinal: 40468894400000 can be written as Forty trillion, four hundred sixty-eight billion, eight hundred ninety-four million, four hundred thousand.
Scientific notation
- Scientific notation: 4.04688944 × 1013
Factors of 40468894400000
Divisors of 40468894400000
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 80 85 88 100 110 125 128 136 160 170 176 187 200 220 250 256 272 275 320 340 352 374 400 425 440 500 512 544 550 625 640 680 704 748 800 850 880 935 1000 1088 1100 1250 1280 1360 1375 1408 1496 1600 1700 1760 1870 2000 2125 2176 2200 2500 2560 2720 2750 2816 2992 3125 3200 3400 3520 3740 4000 4250 4352 4400 4675 5000 5440 5500 5632 5984 6250 6400 6800 6875 7040 7480 8000 8500 8704 8800 9350 10000 10625 10880 11000 11968 12500 12800 13600 13750 14080 14960 16000 17000 17600 18700 20000 21250 21760 22000 23375 23936 25000 27200 27500 28160 29920 32000 34000 34375 35200 37400 40000 42500 43520 44000 46750 47872 50000 53125 54400 55000 59840 64000 68000 68750 70400 74800 80000 85000 88000 93500 95744 100000 106250 108800 110000 116875 119680 135257 136000 137500 140800 149600 160000 170000 176000 187000 200000 212500 217600 220000 233750 239360 270514 272000 275000 299200 320000 340000 352000 374000 400000 425000 440000 467500 478720 541028 544000 550000 584375 598400 676285 680000 704000 748000 800000 850000 880000 935000 1082056 1088000 1100000 1168750 1196800 1352570 1360000 1487827 1496000 1600000 1700000 1760000 1870000 2164112 2200000 2299369 2337500 2393600 2705140 2720000 2975654 2992000 3381425 3400000 3520000 3740000 4328224 4400000 4598738 4675000 5410280 5440000 5951308 5984000 6762850 6800000 7439135 7480000 8656448 8800000 9197476 9350000 10820560 11496845 11902616 11968000 13525700 13600000 14878270 14960000 16907125 17312896 17600000 18394952 18700000 21641120 22993690 23805232 25293059 27051400 27200000 29756540 29920000 33814250 34625792 36789904 37195675 37400000 43282240 45987380 47610464 50586118 54102800 57484225 59513080 59840000 67628500 69251584 73579808 74391350 74800000 84535625 86564480 91974760 95220928 101172236 108205600 114968450 119026160 126465295 135257000 147159616 148782700 149600000 169071250 173128960 183949520 185978375 190441856 202344472 216411200 229936900 238052320 252930590 270514000 287421125 294319232 297565400 299200000 338142500 346257920 367899040 371956750 380883712 404688944 422678125 432822400 459873800 476104640 505861180 541028000 574842250 588638464 595130800 632326475 676285000 735798080 743913500 761767424 809377888 845356250 865644800 919747600 929891875 952209280 1011722360 1082056000 1149684500 1177276928 1190261600 1264652950 1352570000 1437105625 1471596160 1487827000 1618755776 1690712500 1731289600 1839495200 1859783750 1904418560 2023444720 2164112000 2299369000 2380523200 2529305900 2705140000 2874211250 2943192320 2975654000 3161632375 3237511552 3381425000 3678990400 3719567500 3808837120 4046889440 4328224000 4598738000 4649459375 4761046400 5058611800 5410280000 5748422500 5886384640 5951308000 6323264750 6475023104 6762850000 7185528125 7357980800 7439135000 8093778880 8656448000 9197476000 9298918750 9522092800 10117223600 10820560000 11496845000 11902616000 12646529500 12950046208 13525700000 14371056250 14715961600 14878270000 15808161875 16187557760 18394952000 18597837500 19044185600 20234447200 21641120000 22993690000 23805232000 25293059000 27051400000 28742112500 29431923200 29756540000 31616323750 32375115520 36789904000 37195675000 40468894400 43282240000 45987380000 47610464000 50586118000 54102800000 57484225000 59513080000 63232647500 64750231040 73579808000 74391350000 79040809375 80937788800 91974760000 95220928000 101172236000 108205600000 114968450000 119026160000 126465295000 147159616000 148782700000 158081618750 161875577600 183949520000 202344472000 216411200000 229936900000 238052320000 252930590000 297565400000 316163237500 323751155200 367899040000 404688944000 459873800000 476104640000 505861180000 595130800000 632326475000 735798080000 809377888000 919747600000 1011722360000 1190261600000 1264652950000 1618755776000 1839495200000 2023444720000 2380523200000 2529305900000 3678990400000 4046889440000 5058611800000 8093778880000 10117223600000 20234447200000 40468894400000
- Sum of all divisors σ(n): 116741316140064
- Sum of proper divisors (its aliquot sum) s(n): 76272421740064
- 40468894400000 is an abundant number, because the sum of its proper divisors (76272421740064) is greater than itself. Its abundance is 35803527340064
Bases of 40468894400000
- Binary: 10010011001110011001100001001100111110000000002
- Hexadecimal: 0x24CE66133E00
- Base-36: ECF5IULFK
Squares and roots of 40468894400000
- 40468894400000 squared (404688944000002) is 1637731413958351360000000000
- 40468894400000 cubed (404688944000003) is 66277179647043207185936384000000000000000
-
The
square root of 40468894400000 is 6361516.6745045949 -
The
cube root of 40468894400000 is 34332.6331671919
Scales and comparisons
How big is 40468894400000?- 40,468,894,400,000 seconds is equal to 1,286,785 years, 34 weeks, 3 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 40,468,894,400,000 would take you about three million, two hundred sixteen thousand, nine hundred sixty-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 40468894400000 cubic inches would be around 2861.1 feet tall.
Recreational maths with 40468894400000
- 40468894400000 backwards is 00000449886404
- The number of decimal digits it has is: 14
- The sum of 40468894400000's digits is 47
- More coming soon!
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