13812071863680000
13,812,071,863,680,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13812071863680000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5940 divisors.
13812071863680000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, nine hundred forty divisors.
Prime factorization of 13812071863680000:
210 × 32 × 54 × 192 × 31 × 472 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 19 × 31 × 47 × 47 × 97)See below for interesting mathematical facts about the number 13812071863680000 from the Numbermatics database.
Names of 13812071863680000
- Cardinal: 13812071863680000 can be written as Thirteen quadrillion, eight hundred twelve trillion, seventy-one billion, eight hundred sixty-three million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.381207186368 × 1016
Factors of 13812071863680000
Divisors of 13812071863680000
- Number of divisors d(n): 5940
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 31 32 36 38 40 45 47 48 50 57 60 62 64 72 75 76 80 90 93 94 95 96 97 100 114 120 124 125 128 141 144 150 152 155 160 171 180 186 188 190 192 194 200 225 228 235 240 248 250 256 279 282 285 288 291 300 304 310 320 342 360 361 372 375 376 380 384 388 400 423 450 456 465 470 475 480 485 496 500 512 558 564 570 576 582 589 600 608 620 625 640 684 705 720 722 744 750 752 760 768 775 776 800 846 855 873 893 900 912 930 940 950 960 970 992 1000 1024 1083 1116 1125 1128 1140 1152 1164 1175 1178 1200 1216 1240 1250 1280 1368 1395 1410 1425 1440 1444 1455 1457 1488 1500 1504 1520 1536 1550 1552 1600 1692 1710 1746 1767 1786 1800 1805 1824 1843 1860 1875 1880 1900 1920 1940 1984 2000 2115 2166 2209 2232 2250 2256 2280 2304 2325 2328 2350 2356 2375 2400 2425 2432 2480 2500 2560 2679 2736 2790 2820 2850 2880 2888 2910 2914 2945 2976 3000 3007 3008 3040 3072 3100 3104 3200 3249 3384 3420 3492 3525 3534 3572 3600 3610 3648 3686 3720 3750 3760 3800 3840 3875 3880 3968 4000 4230 4275 4332 4365 4371 4418 4464 4465 4500 4512 4559 4560 4608 4650 4656 4700 4712 4750 4800 4850 4864 4960 5000 5120 5301 5358 5415 5472 5529 5580 5625 5640 5700 5760 5776 5820 5828 5875 5890 5952 6000 6014 6016 6080 6200 6208 6400 6498 6627 6768 6840 6975 6984 7050 7068 7125 7144 7200 7220 7275 7285 7296 7372 7440 7500 7520 7600 7680 7750 7760 7936 8000 8037 8460 8550 8664 8730 8742 8835 8836 8928 8930 9000 9021 9024 9025 9118 9120 9215 9216 9300 9312 9400 9424 9500 9600 9700 9728 9920 10000 10575 10602 10716 10830 10944 11045 11058 11160 11191 11250 11280 11400 11520 11552 11625 11640 11656 11750 11780 11875 11904 12000 12028 12032 12125 12160 12400 12416 12800 12996 13113 13254 13395 13536 13677 13680 13950 13968 14100 14136 14250 14288 14400 14440 14550 14570 14592 14725 14744 14880 15000 15035 15040 15200 15360 15500 15520 15872 16000 16074 16245 16587 16920 16967 17100 17328 17460 17484 17625 17670 17672 17856 17860 18000 18042 18048 18050 18236 18240 18430 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- Sum of all divisors σ(n): 56046025184140992
- Sum of proper divisors (its aliquot sum) s(n): 42233953320460992
- 13812071863680000 is an abundant number, because the sum of its proper divisors (42233953320460992) is greater than itself. Its abundance is 28421881456780992
Bases of 13812071863680000
- Binary: 1100010001001000000001100101010000101111111100000000002
- Hexadecimal: 0x311201950BFC00
- Base-36: 3RZYY7UI9S0
Squares and roots of 13812071863680000
- 13812071863680000 squared (138120718636800002) is 190773329167460708503142400000000
- 13812071863680000 cubed (138120718636800003) is 2634974932134447130908171271904428032000000000000
-
The
square root of 13812071863680000 is 117524771.2768674143 -
The
cube root of 13812071863680000 is 239930.9515698813
Scales and comparisons
How big is 13812071863680000?- 13,812,071,863,680,000 seconds is equal to 439,181,161 years, 37 weeks, 3 days, 16 hours.
-
To count from 1 to 13,812,071,863,680,000 would take you about one billion, three hundred seventeen million, five hundred forty-three thousand, four hundred eighty-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 13812071863680000 cubic inches would be around 19994.2 feet tall.
Recreational maths with 13812071863680000
- 13812071863680000 backwards is 00008636817021831
- The number of decimal digits it has is: 17
- The sum of 13812071863680000's digits is 54
- More coming soon!
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"Number 13812071863680000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 13812071863680000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/13812071863680000/
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Numbermatics. 2024. "Number 13812071863680000 - Facts about the integer". https://numbermatics.com/n/13812071863680000/
The information we have on file for 13812071863680000 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 13812071863680000, math, Factors of 13812071863680000, curriculum, school, college, exams, university, Prime factorization of 13812071863680000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred twelve trillion, seventy-one billion, eight hundred sixty-three million, six hundred eighty thousand.