13824961920000
13,824,961,920,000 is an even composite number composed of seven prime numbers multiplied together.
13824961920000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, nine hundred sixty divisors.
Prime factorization of 13824961920000:
210 × 32 × 54 × 72 × 11 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 61 × 73)See below for interesting mathematical facts about the number 13824961920000 from the Numbermatics database.
Names of 13824961920000
- Cardinal: 13824961920000 can be written as Thirteen trillion, eight hundred twenty-four billion, nine hundred sixty-one million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 1.382496192 × 1013
Factors of 13824961920000
Divisors of 13824961920000
- Number of divisors d(n): 3960
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 49 50 55 56 60 61 63 64 66 70 72 73 75 77 80 84 88 90 96 98 99 100 105 110 112 120 122 125 126 128 132 140 144 146 147 150 154 160 165 168 175 176 180 183 192 196 198 200 210 219 220 224 225 231 240 244 245 250 252 256 264 275 280 288 292 294 300 305 308 315 320 330 336 350 352 360 365 366 375 384 385 392 396 400 420 427 438 440 441 448 450 462 480 488 490 495 500 504 511 512 525 528 539 549 550 560 576 584 588 600 610 616 625 630 640 657 660 671 672 693 700 704 720 730 732 735 750 768 770 784 792 800 803 825 840 854 875 876 880 882 896 900 915 924 960 976 980 990 1000 1008 1022 1024 1050 1056 1078 1095 1098 1100 1120 1125 1152 1155 1168 1176 1200 1220 1225 1232 1250 1260 1280 1281 1314 1320 1342 1344 1375 1386 1400 1408 1440 1460 1464 1470 1500 1525 1533 1536 1540 1568 1575 1584 1600 1606 1617 1650 1680 1708 1750 1752 1760 1764 1792 1800 1825 1830 1848 1875 1920 1925 1952 1960 1980 2000 2013 2016 2044 2100 2112 2135 2156 2190 2196 2200 2205 2240 2250 2304 2310 2336 2352 2400 2409 2440 2450 2464 2475 2500 2520 2555 2560 2562 2625 2628 2640 2684 2688 2695 2745 2750 2772 2800 2816 2880 2920 2928 2940 2989 3000 3050 3066 3072 3080 3136 3150 3168 3200 3212 3234 3285 3300 3355 3360 3416 3465 3500 3504 3520 3528 3577 3584 3600 3650 3660 3675 3696 3750 3840 3843 3850 3904 3920 3960 4000 4015 4026 4032 4088 4125 4200 4224 4270 4312 4375 4380 4392 4400 4410 4453 4480 4500 4575 4599 4608 4620 4672 4697 4704 4800 4818 4851 4880 4900 4928 4950 5000 5040 5110 5120 5124 5250 5256 5280 5368 5376 5390 5475 5490 5500 5544 5600 5621 5625 5632 5760 5775 5840 5856 5880 5978 6000 6039 6100 6125 6132 6160 6272 6300 6336 6400 6405 6424 6468 6570 6600 6710 6720 6832 6875 6930 7000 7008 7040 7056 7154 7168 7200 7227 7300 7320 7350 7392 7500 7625 7665 7680 7686 7700 7808 7840 7875 7920 8000 8030 8052 8064 8085 8176 8250 8400 8448 8540 8624 8750 8760 8784 8800 8820 8906 8960 8967 9000 9125 9150 9198 9216 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- Sum of all divisors σ(n): 65221643730672
- Sum of proper divisors (its aliquot sum) s(n): 51396681810672
- 13824961920000 is an abundant number, because the sum of its proper divisors (51396681810672) is greater than itself. Its abundance is 37571719890672
Bases of 13824961920000
- Binary: 110010010010110111111111000110111100000000002
- Hexadecimal: 0xC92DFF1BC00
- Base-36: 4WF3LDKW0
Squares and roots of 13824961920000
- 13824961920000 squared (138249619200002) is 191129572089450086400000000
- 13824961920000 cubed (138249619200003) is 2642359055922542278220709888000000000000
-
The
square root of 13824961920000 is 3718193.3677526779 -
The
cube root of 13824961920000 is 24000.5566537555
Scales and comparisons
How big is 13824961920000?- 13,824,961,920,000 seconds is equal to 439,591 years, 1 week, 2 days, 8 hours.
-
To count from 1 to 13,824,961,920,000 would take you about one million, ninety-eight thousand, nine hundred seventy-seven 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 13824961920000 cubic inches would be around 2000 feet tall.
Recreational maths with 13824961920000
- 13824961920000 backwards is 00002916942831
- 13824961920000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13824961920000's digits is 45
- More coming soon!
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"Number 13824961920000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 13824961920000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13824961920000/
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The information we have on file for 13824961920000 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!
Keywords: Divisors of 13824961920000, math, Factors of 13824961920000, curriculum, school, college, exams, university, Prime factorization of 13824961920000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred twenty-four billion, nine hundred sixty-one million, nine hundred twenty thousand.