72135020561400000
72,135,020,561,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 72135020561400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5040 divisors.
72135020561400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand and forty divisors.
Prime factorization of 72135020561400000:
26 × 34 × 55 × 23 × 413 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 23 × 41 × 41 × 41 × 53 × 53)See below for interesting mathematical facts about the number 72135020561400000 from the Numbermatics database.
Names of 72135020561400000
- Cardinal: 72135020561400000 can be written as Seventy-two quadrillion, one hundred thirty-five trillion, twenty billion, five hundred sixty-one million, four hundred thousand.
Scientific notation
- Scientific notation: 7.21350205614 × 1016
Factors of 72135020561400000
Divisors of 72135020561400000
- Number of divisors d(n): 5040
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 41 45 46 48 50 53 54 60 64 69 72 75 80 81 82 90 92 96 100 106 108 115 120 123 125 135 138 144 150 159 160 162 164 180 184 192 200 205 207 212 216 225 230 240 246 250 265 270 276 288 300 318 320 324 328 345 360 368 369 375 400 405 410 414 424 432 450 460 477 480 492 500 530 540 552 575 576 600 615 621 625 636 648 656 675 690 720 736 738 750 795 800 810 820 828 848 864 900 920 943 954 960 984 1000 1025 1035 1060 1080 1104 1107 1125 1150 1200 1219 1230 1242 1250 1272 1296 1312 1325 1350 1380 1431 1440 1472 1476 1500 1590 1600 1620 1640 1656 1681 1696 1725 1728 1800 1840 1845 1863 1875 1886 1908 1968 2000 2025 2050 2070 2120 2160 2173 2208 2214 2250 2300 2385 2400 2438 2460 2484 2500 2544 2592 2624 2650 2700 2760 2809 2829 2862 2875 2880 2952 3000 3075 3105 3125 3180 3240 3280 3312 3321 3362 3375 3392 3450 3600 3657 3680 3690 3726 3750 3772 3816 3936 3975 4000 4050 4100 4140 4240 4293 4320 4346 4416 4428 4500 4600 4715 4770 4800 4876 4920 4968 5000 5043 5088 5125 5175 5184 5300 5400 5520 5535 5618 5625 5658 5724 5750 5904 6000 6095 6150 6210 6250 6360 6480 6519 6560 6624 6625 6642 6724 6750 6900 7155 7200 7314 7360 7380 7452 7500 7544 7632 7872 7950 8000 8100 8200 8280 8405 8427 8480 8487 8586 8625 8640 8692 8856 9000 9200 9225 9315 9375 9430 9540 9752 9840 9936 10000 10086 10125 10176 10250 10350 10600 10800 10865 10971 11040 11070 11236 11250 11316 11448 11500 11808 11925 12000 12190 12300 12420 12500 12720 12960 13038 13120 13248 13250 13284 13448 13500 13800 14045 14145 14310 14375 14400 14628 14760 14904 15000 15088 15129 15264 15375 15525 15900 16200 16400 16560 16605 16810 16854 16875 16960 16974 17172 17250 17384 17712 18000 18285 18400 18450 18630 18750 18860 19080 19504 19557 19680 19872 19875 20000 20172 20250 20500 20700 21200 21465 21600 21730 21942 22080 22140 22472 22500 22632 22896 23000 23575 23616 23850 24000 24380 24600 24840 25000 25215 25281 25440 25461 25625 25875 25920 26076 26500 26568 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8015002284600000 9016877570175000 12022503426900000 14427004112280000 18033755140350000 24045006853800000 36067510280700000 72135020561400000
- Sum of all divisors σ(n): 291359512515589056
- Sum of proper divisors (its aliquot sum) s(n): 219224491954189056
- 72135020561400000 is an abundant number, because the sum of its proper divisors (219224491954189056) is greater than itself. Its abundance is 147089471392789056
Bases of 72135020561400000
- Binary: 1000000000100011001101011010001000110110110000000110000002
- Hexadecimal: 0x100466B446D80C0
- Base-36: JQ9QAYR7W00
Squares and roots of 72135020561400000
- 72135020561400000 squared (721350205614000002) is 5203461191393600771169960000000000
- 72135020561400000 cubed (721350205614000003) is 375351780031624332348727960934015544000000000000000
-
The
square root of 72135020561400000 is 268579635.4182498329 -
The
cube root of 72135020561400000 is 416276.6523026809
Scales and comparisons
How big is 72135020561400000?- 72,135,020,561,400,000 seconds is equal to 2,293,670,525 years, 30 weeks, 2 days, 12 hours.
-
To count from 1 to 72,135,020,561,400,000 would take you about six billion, eight hundred eighty-one million, eleven thousand, five hundred seventy-six 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 72135020561400000 cubic inches would be around 34689.7 feet tall.
Recreational maths with 72135020561400000
- 72135020561400000 backwards is 00000416502053127
- 72135020561400000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 72135020561400000's digits is 36
- More coming soon!
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"Number 72135020561400000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 72135020561400000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/72135020561400000/
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The information we have on file for 72135020561400000 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 72135020561400000, math, Factors of 72135020561400000, curriculum, school, college, exams, university, Prime factorization of 72135020561400000, STEM, science, technology, engineering, physics, economics, calculator, seventy-two quadrillion, one hundred thirty-five trillion, twenty billion, five hundred sixty-one million, four hundred thousand.