72468363322368000
72,468,363,322,368,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 72468363322368000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3136 divisors.
72468363322368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred thirty-six divisors.
Prime factorization of 72468363322368000:
213 × 36 × 53 × 13 × 53 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 53 × 140897)See below for interesting mathematical facts about the number 72468363322368000 from the Numbermatics database.
Names of 72468363322368000
- Cardinal: 72468363322368000 can be written as Seventy-two quadrillion, four hundred sixty-eight trillion, three hundred sixty-three billion, three hundred twenty-two million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 7.2468363322368 × 1016
Factors of 72468363322368000
Divisors of 72468363322368000
- Number of divisors d(n): 3136
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 53 54 60 64 65 72 75 78 80 81 90 96 100 104 106 108 117 120 125 128 130 135 144 150 156 159 160 162 180 192 195 200 208 212 216 225 234 240 243 250 256 260 265 270 288 300 312 318 320 324 325 351 360 375 384 390 400 405 416 424 432 450 468 477 480 486 500 512 520 530 540 576 585 600 624 636 640 648 650 675 689 702 720 729 750 768 780 795 800 810 832 848 864 900 936 954 960 972 975 1000 1024 1040 1053 1060 1080 1125 1152 1170 1200 1215 1248 1272 1280 1296 1300 1325 1350 1378 1404 1431 1440 1458 1500 1536 1560 1590 1600 1620 1625 1664 1696 1728 1755 1800 1872 1908 1920 1944 1950 2000 2025 2048 2067 2080 2106 2120 2160 2250 2304 2340 2385 2400 2430 2496 2544 2560 2592 2600 2650 2700 2756 2808 2862 2880 2916 2925 3000 3072 3120 3159 3180 3200 3240 3250 3328 3375 3392 3445 3456 3510 3600 3645 3744 3816 3840 3888 3900 3975 4000 4050 4096 4134 4160 4212 4240 4293 4320 4500 4608 4680 4770 4800 4860 4875 4992 5088 5120 5184 5200 5265 5300 5400 5512 5616 5724 5760 5832 5850 6000 6075 6144 6201 6240 6318 6360 6400 6480 6500 6625 6656 6750 6784 6890 6912 7020 7155 7200 7290 7488 7632 7680 7776 7800 7950 8000 8100 8192 8268 8320 8424 8480 8586 8640 8775 9000 9216 9360 9477 9540 9600 9720 9750 9984 10125 10176 10240 10335 10368 10400 10530 10600 10800 11024 11232 11448 11520 11664 11700 11925 12000 12150 12288 12402 12480 12636 12720 12800 12879 12960 13000 13250 13312 13500 13568 13780 13824 14040 14310 14400 14580 14625 14976 15264 15360 15552 15600 15795 15900 16000 16200 16536 16640 16848 16960 17172 17225 17280 17550 18000 18225 18432 18603 18720 18954 19080 19200 19440 19500 19875 19968 20250 20352 20480 20670 20736 20800 21060 21200 21465 21600 22048 22464 22896 23040 23328 23400 23850 24000 24300 24576 24804 24960 25272 25440 25600 25758 25920 26000 26325 26500 26624 27000 27136 27560 27648 28080 28620 28800 29160 29250 29952 30375 30528 30720 31005 31104 31200 31590 31800 32000 32400 33072 33280 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4831224221491200 5574489486336000 6039030276864000 7246836332236800 8052040369152000 9058545415296000 12078060553728000 14493672664473600 18117090830592000 24156121107456000 36234181661184000 72468363322368000
- Sum of all divisors σ(n): 297553330420268832
- Sum of proper divisors (its aliquot sum) s(n): 225084967097900832
- 72468363322368000 is an abundant number, because the sum of its proper divisors (225084967097900832) is greater than itself. Its abundance is 152616603775532832
Bases of 72468363322368000
- Binary: 1000000010111010110010111101011010100100010100000000000002
- Hexadecimal: 0x1017597AD48A000
- Base-36: JTJW2IKG000
Squares and roots of 72468363322368000
- 72468363322368000 squared (724683633223680002) is 5251663682622731591089127424000000
- 72468363322368000 cubed (724683633223680003) is 380579471799189223034339189071906741420032000000000
-
The
square root of 72468363322368000 is 269199486.1108913781 -
The
cube root of 72468363322368000 is 416916.8850644539
Scales and comparisons
How big is 72468363322368000?- 72,468,363,322,368,000 seconds is equal to 2,304,269,794 years, 14 weeks, 6 days.
-
To count from 1 to 72,468,363,322,368,000 would take you about six billion, nine hundred twelve million, eight hundred nine thousand, three hundred eighty-two 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 72468363322368000 cubic inches would be around 34743.1 feet tall.
Recreational maths with 72468363322368000
- 72468363322368000 backwards is 00086322336386427
- The number of decimal digits it has is: 17
- The sum of 72468363322368000's digits is 63
- More coming soon!
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"Number 72468363322368000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 72468363322368000 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/72468363322368000/
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Numbermatics. 2024. "Number 72468363322368000 - Facts about the integer". https://numbermatics.com/n/72468363322368000/
The information we have on file for 72468363322368000 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 72468363322368000, math, Factors of 72468363322368000, curriculum, school, college, exams, university, Prime factorization of 72468363322368000, STEM, science, technology, engineering, physics, economics, calculator, seventy-two quadrillion, four hundred sixty-eight trillion, three hundred sixty-three billion, three hundred twenty-two million, three hundred sixty-eight thousand.