13872070284800000
13,872,070,284,800,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13872070284800000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5616 divisors.
13872070284800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, six hundred sixteen divisors.
Prime factorization of 13872070284800000:
212 × 55 × 73 × 13 × 172 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 17 × 17 × 29 × 29)See below for interesting mathematical facts about the number 13872070284800000 from the Numbermatics database.
Names of 13872070284800000
- Cardinal: 13872070284800000 can be written as Thirteen quadrillion, eight hundred seventy-two trillion, seventy billion, two hundred eighty-four million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.38720702848 × 1016
Factors of 13872070284800000
Divisors of 13872070284800000
- Number of divisors d(n): 5616
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 29 32 34 35 40 49 50 52 56 58 64 65 68 70 80 85 91 98 100 104 112 116 119 125 128 130 136 140 145 160 170 175 182 196 200 203 208 221 224 232 238 245 250 256 260 272 280 289 290 320 325 340 343 350 364 377 392 400 406 416 425 442 448 455 464 476 490 493 500 512 520 544 560 578 580 595 625 637 640 650 680 686 700 725 728 754 784 800 812 832 833 841 850 875 884 896 910 928 952 980 986 1000 1015 1024 1040 1088 1105 1120 1156 1160 1190 1225 1250 1274 1280 1300 1360 1372 1400 1421 1445 1450 1456 1508 1547 1568 1600 1624 1625 1664 1666 1682 1700 1715 1750 1768 1792 1820 1856 1885 1904 1960 1972 2000 2023 2030 2048 2080 2125 2176 2210 2240 2275 2312 2320 2380 2450 2465 2500 2548 2560 2600 2639 2720 2744 2800 2842 2890 2900 2912 2975 3016 3094 3125 3136 3185 3200 3248 3250 3328 3332 3364 3400 3430 3451 3500 3536 3584 3625 3640 3712 3757 3770 3808 3920 3944 4000 4046 4060 4096 4160 4165 4205 4250 4352 4375 4420 4459 4480 4550 4624 4640 4760 4900 4930 5000 5075 5096 5120 5200 5278 5440 5488 5525 5600 5684 5780 5800 5824 5831 5887 5950 6032 6125 6188 6250 6272 6370 6400 6409 6496 6500 6656 6664 6728 6800 6860 6902 7000 7072 7105 7168 7225 7250 7280 7424 7514 7540 7616 7735 7840 7888 8000 8092 8120 8125 8320 8330 8381 8410 8500 8575 8704 8750 8840 8918 8960 9100 9248 9280 9425 9520 9800 9860 9947 10000 10115 10150 10192 10240 10400 10556 10625 10829 10880 10933 10976 11050 11200 11368 11375 11560 11600 11648 11662 11774 11900 12064 12250 12325 12376 12500 12544 12740 12800 12818 12992 13000 13195 13312 13328 13456 13600 13720 13804 14000 14144 14161 14210 14297 14336 14450 14500 14560 14848 14875 15028 15080 15232 15470 15680 15776 15925 16000 16184 16240 16250 16640 16660 16762 16820 17000 17150 17255 17408 17500 17680 17836 17920 18125 18200 18473 18496 18560 18785 18850 19040 19600 19720 19894 20000 20230 20300 20384 20480 20800 20825 21025 21112 21250 21658 21760 21866 21875 21952 22100 22295 22400 22736 22750 23120 23200 23296 23324 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- Sum of all divisors σ(n): 47908626742267200
- Sum of proper divisors (its aliquot sum) s(n): 34036556457467200
- 13872070284800000 is an abundant number, because the sum of its proper divisors (34036556457467200) is greater than itself. Its abundance is 20164486172667200
Bases of 13872070284800000
- Binary: 1100010100100010010011000011011001111111110000000000002
- Hexadecimal: 0x3148930D9FF000
- Base-36: 3SL8L41BUGW
Squares and roots of 13872070284800000
- 13872070284800000 squared (138720702848000002) is 192434333986431153111040000000000
- 13872070284800000 cubed (138720702848000003) is 2669462606268450325472657058824192000000000000000
-
The
square root of 13872070284800000 is 117779753.2889248329 -
The
cube root of 13872070284800000 is 240277.8626957115
Scales and comparisons
How big is 13872070284800000?- 13,872,070,284,800,000 seconds is equal to 441,088,925 years, 48 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 13,872,070,284,800,000 would take you about one billion, three hundred twenty-three million, two hundred sixty-six thousand, seven 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 13872070284800000 cubic inches would be around 20023.2 feet tall.
Recreational maths with 13872070284800000
- 13872070284800000 backwards is 00000848207027831
- 13872070284800000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13872070284800000's digits is 50
- More coming soon!
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"Number 13872070284800000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 13872070284800000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13872070284800000/
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The information we have on file for 13872070284800000 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 13872070284800000, math, Factors of 13872070284800000, curriculum, school, college, exams, university, Prime factorization of 13872070284800000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred seventy-two trillion, seventy billion, two hundred eighty-four million, eight hundred thousand.