138878315326800000
138,878,315,326,800,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138878315326800000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5760 divisors.
138878315326800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 138878315326800000:
27 × 34 × 55 × 73 × 19 × 8112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 19 × 811 × 811)See below for interesting mathematical facts about the number 138878315326800000 from the Numbermatics database.
Names of 138878315326800000
- Cardinal: 138878315326800000 can be written as One hundred thirty-eight quadrillion, eight hundred seventy-eight trillion, three hundred fifteen billion, three hundred twenty-six million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.388783153268 × 1017
Factors of 138878315326800000
Divisors of 138878315326800000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 49 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 98 100 105 108 112 114 120 125 126 128 133 135 140 144 147 150 152 160 162 168 171 175 180 189 190 192 196 200 210 216 224 225 228 240 245 250 252 266 270 280 285 288 294 300 304 315 320 324 336 342 343 350 360 375 378 380 384 392 399 400 405 420 432 441 448 450 456 475 480 490 500 504 513 525 532 540 560 567 570 576 588 600 608 625 630 640 648 665 672 675 684 686 700 720 735 750 756 760 784 798 800 810 811 840 855 864 875 882 896 900 912 931 945 950 960 980 1000 1008 1026 1029 1050 1064 1080 1120 1125 1134 1140 1152 1176 1197 1200 1216 1225 1250 1260 1296 1323 1330 1344 1350 1368 1372 1400 1425 1440 1470 1500 1512 1520 1539 1568 1575 1596 1600 1620 1622 1680 1710 1715 1728 1750 1764 1800 1824 1862 1875 1890 1900 1920 1960 1995 2000 2016 2025 2052 2058 2100 2128 2160 2205 2240 2250 2268 2280 2352 2375 2394 2400 2432 2433 2450 2500 2520 2565 2592 2625 2646 2660 2688 2700 2736 2744 2793 2800 2835 2850 2880 2940 3000 3024 3040 3078 3087 3125 3136 3150 3192 3200 3240 3244 3325 3360 3375 3420 3430 3456 3500 3528 3591 3600 3648 3675 3724 3750 3780 3800 3920 3969 3990 4000 4032 4050 4055 4104 4116 4200 4256 4275 4320 4375 4410 4480 4500 4536 4560 4655 4704 4725 4750 4788 4800 4866 4900 5000 5040 5130 5145 5184 5250 5292 5320 5400 5472 5488 5586 5600 5625 5670 5677 5700 5760 5880 5985 6000 6048 6080 6125 6156 6174 6250 6272 6300 6384 6480 6488 6517 6615 6650 6720 6750 6840 6860 7000 7056 7125 7182 7200 7296 7299 7350 7448 7500 7560 7600 7695 7840 7875 7938 7980 8000 8064 8100 8110 8208 8232 8379 8400 8512 8550 8575 8640 8750 8820 9000 9072 9120 9261 9310 9375 9408 9450 9500 9576 9600 9732 9800 9975 10000 10080 10125 10260 10290 10368 10500 10584 10640 10773 10800 10944 10976 11025 11172 11200 11250 11340 11354 11400 11760 11875 11970 12000 12096 12160 12165 12250 12312 12348 12500 12600 12768 12825 12960 12976 13034 13125 13230 13300 13440 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17359789415850000 19839759332400000 23146385887800000 27775663065360000 34719578831700000 46292771775600000 69439157663400000 138878315326800000
- Sum of all divisors σ(n): 634929228022320000
- Sum of proper divisors (its aliquot sum) s(n): 496050912695520000
- 138878315326800000 is an abundant number, because the sum of its proper divisors (496050912695520000) is greater than itself. Its abundance is 357172597368720000
Bases of 138878315326800000
- Binary: 1111011010110010100010111100011000000111100000000100000002
- Hexadecimal: 0x1ED65178C0F0080
- Base-36: 11ZG95ALQG00
Squares and roots of 138878315326800000
- 138878315326800000 squared (1388783153268000002) is 19287186468010091790798240000000000
- 138878315326800000 cubed (1388783153268000003) is 2678571964071095488647090073398464832000000000000000
-
The
square root of 138878315326800000 is 372663810.0578053179 -
The
cube root of 138878315326800000 is 517858.9421858049
Scales and comparisons
How big is 138878315326800000?- 138,878,315,326,800,000 seconds is equal to 4,415,900,848 years, 29 weeks.
-
To count from 1 to 138,878,315,326,800,000 would take you about thirteen billion, two hundred forty-seven million, seven hundred two thousand, five hundred forty-five 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 138878315326800000 cubic inches would be around 43154.9 feet tall.
Recreational maths with 138878315326800000
- 138878315326800000 backwards is 000008623513878831
- 138878315326800000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138878315326800000's digits is 63
- More coming soon!
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The information we have on file for 138878315326800000 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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