13838714004096000
13,838,714,004,096,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13838714004096000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
13838714004096000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13838714004096000:
210 × 32 × 53 × 29 × 37 × 41 × 273061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 37 × 41 × 273061)See below for interesting mathematical facts about the number 13838714004096000 from the Numbermatics database.
Names of 13838714004096000
- Cardinal: 13838714004096000 can be written as Thirteen quadrillion, eight hundred thirty-eight trillion, seven hundred fourteen billion, four million, ninety-six thousand.
Scientific notation
- Scientific notation: 1.3838714004096 × 1016
Factors of 13838714004096000
Divisors of 13838714004096000
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 37 40 41 45 48 50 58 60 64 72 74 75 80 82 87 90 96 100 111 116 120 123 125 128 144 145 148 150 160 164 174 180 185 192 200 205 222 225 232 240 246 250 256 261 288 290 296 300 320 328 333 348 360 369 370 375 384 400 410 435 444 450 464 480 492 500 512 522 555 576 580 592 600 615 640 656 666 696 720 725 738 740 750 768 800 820 870 888 900 925 928 960 984 1000 1024 1025 1044 1073 1110 1125 1152 1160 1184 1189 1200 1230 1280 1305 1312 1332 1392 1440 1450 1476 1480 1500 1517 1536 1600 1640 1665 1740 1776 1800 1845 1850 1856 1920 1968 2000 2050 2088 2146 2175 2220 2250 2304 2320 2368 2378 2400 2460 2560 2610 2624 2664 2775 2784 2880 2900 2952 2960 3000 3034 3072 3075 3200 3219 3280 3330 3480 3552 3567 3600 3625 3690 3700 3712 3840 3936 4000 4100 4176 4292 4350 4440 4500 4551 4608 4625 4640 4736 4756 4800 4920 5120 5125 5220 5248 5328 5365 5550 5568 5760 5800 5904 5920 5945 6000 6068 6150 6400 6438 6525 6560 6660 6960 7104 7134 7200 7250 7380 7400 7424 7585 7680 7872 8000 8200 8325 8352 8584 8700 8880 9000 9102 9216 9225 9250 9280 9472 9512 9600 9657 9840 10250 10440 10496 10656 10701 10730 10875 11100 11136 11520 11600 11808 11840 11890 12000 12136 12300 12800 12876 13050 13120 13320 13653 13875 13920 14208 14268 14400 14500 14760 14800 14848 15170 15360 15375 15744 16000 16095 16400 16650 16704 17168 17400 17760 17835 18000 18204 18450 18500 18560 18944 19024 19200 19314 19680 20500 20880 20992 21312 21402 21460 21750 22200 22272 22755 23040 23200 23616 23680 23780 24000 24272 24600 25600 25752 26100 26240 26640 26825 27306 27750 27840 28416 28536 28800 29000 29520 29600 29696 29725 30340 30750 31488 32000 32190 32625 32800 33300 33408 34336 34800 35520 35670 36000 36408 36900 37000 37120 37888 37925 38048 38400 38628 39360 41000 41625 41760 41984 42624 42804 42920 43500 43993 44400 44544 45510 46080 46125 46400 47232 47360 47560 48000 48285 48544 49200 51504 52200 52480 53280 53505 53650 54612 55500 55680 56832 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477197034624000 553548560163840 576613083504000 691935700204800 768817444672000 864919625256000 922580933606400 1153226167008000 1383871400409600 1537634889344000 1729839250512000 2306452334016000 2767742800819200 3459678501024000 4612904668032000 6919357002048000 13838714004096000
- Sum of all divisors σ(n): 54275171182464960
- Sum of proper divisors (its aliquot sum) s(n): 40436457178368960
- 13838714004096000 is an abundant number, because the sum of its proper divisors (40436457178368960) is greater than itself. Its abundance is 26597743174272960
Bases of 13838714004096000
- Binary: 1100010010101000111100101100000101110011000100000000002
- Hexadecimal: 0x312A3CB05CC400
- Base-36: 3S9EXG514W0
Squares and roots of 13838714004096000
- 13838714004096000 squared (138387140040960002) is 191510005287162745104777216000000
- 13838714004096000 cubed (138387140040960003) is 2650252192091958082616130529889391476736000000000
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The
square root of 13838714004096000 is 117638063.5852868839 -
The
cube root of 13838714004096000 is 240085.1202936627
Scales and comparisons
How big is 13838714004096000?- 13,838,714,004,096,000 seconds is equal to 440,028,299 years, 19 weeks, 4 days, 8 hours.
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To count from 1 to 13,838,714,004,096,000 would take you about one billion, three hundred twenty million, eighty-four thousand, eight hundred ninety-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 13838714004096000 cubic inches would be around 20007.1 feet tall.
Recreational maths with 13838714004096000
- 13838714004096000 backwards is 00069040041783831
- The number of decimal digits it has is: 17
- The sum of 13838714004096000's digits is 54
- More coming soon!
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The information we have on file for 13838714004096000 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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