1353138827625000
1,353,138,827,625,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1353138827625000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3360 divisors.
1353138827625000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 1353138827625000:
23 × 34 × 56 × 132 × 17 × 181 × 257
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 17 × 181 × 257)See below for interesting mathematical facts about the number 1353138827625000 from the Numbermatics database.
Names of 1353138827625000
- Cardinal: 1353138827625000 can be written as One quadrillion, three hundred fifty-three trillion, one hundred thirty-eight billion, eight hundred twenty-seven million, six hundred twenty-five thousand.
Scientific notation
- Scientific notation: 1.353138827625 × 1015
Factors of 1353138827625000
Divisors of 1353138827625000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 17 18 20 24 25 26 27 30 34 36 39 40 45 50 51 52 54 60 65 68 72 75 78 81 85 90 100 102 104 108 117 120 125 130 135 136 150 153 156 162 169 170 180 181 195 200 204 216 221 225 234 250 255 257 260 270 300 306 312 324 325 338 340 351 360 362 375 390 405 408 425 442 450 459 468 500 507 510 514 520 540 543 585 600 612 625 648 650 663 675 676 680 702 724 750 765 771 780 810 845 850 884 900 905 918 936 975 1000 1014 1020 1028 1053 1080 1086 1105 1125 1170 1224 1250 1275 1285 1300 1326 1350 1352 1377 1404 1448 1500 1521 1530 1542 1560 1620 1625 1629 1690 1700 1755 1768 1800 1810 1836 1875 1950 1989 2025 2028 2040 2056 2106 2125 2172 2210 2250 2295 2313 2340 2353 2500 2535 2550 2570 2600 2652 2700 2715 2754 2808 2873 2925 3000 3042 3060 3077 3084 3125 3240 3250 3258 3315 3341 3375 3380 3400 3510 3620 3672 3750 3825 3855 3900 3978 4050 4056 4212 4225 4250 4344 4369 4420 4500 4525 4563 4590 4626 4680 4706 4875 4887 5000 5070 5100 5140 5265 5304 5400 5430 5508 5525 5625 5746 5850 5967 6084 6120 6154 6168 6250 6375 6425 6500 6516 6630 6682 6750 6760 6885 6939 7020 7059 7240 7500 7605 7650 7710 7800 7956 8100 8125 8145 8424 8450 8500 8619 8738 8775 8840 9000 9050 9126 9180 9231 9252 9375 9412 9750 9774 9945 10023 10125 10140 10200 10280 10530 10625 10860 11016 11050 11250 11475 11492 11565 11700 11765 11934 12168 12308 12500 12675 12750 12850 13000 13032 13107 13260 13364 13500 13575 13689 13770 13878 14040 14118 14365 14625 14661 15000 15210 15300 15385 15420 15625 15912 16200 16250 16290 16575 16705 16875 16900 17000 17238 17476 17550 17901 18100 18252 18360 18462 18504 18750 18824 19125 19275 19500 19548 19890 20046 20250 20280 20817 21060 21125 21177 21250 21720 21845 22100 22500 22625 22815 22950 22984 23130 23400 23530 23868 24375 24435 24616 25000 25350 25500 25700 25857 26214 26325 26520 26728 27000 27150 27378 27540 27625 27693 27756 28125 28236 28730 29250 29322 29835 30069 30420 30589 30600 30770 30840 31250 31875 32125 32500 32580 33150 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18793594828125 19899100406250 20817520425000 22552313793750 25058126437500 26021900531250 26532133875000 27062776552500 30069751725000 33828470690625 34695867375000 37587189656250 39798200812500 45104627587500 50116252875000 52043801062500 54125553105000 56380784484375 67656941381250 75174379312500 79596401625000 90209255175000 104087602125000 112761568968750 135313882762500 150348758625000 169142353453125 225523137937500 270627765525000 338284706906250 451046275875000 676569413812500 1353138827625000
- Sum of all divisors σ(n): 5482969097565960
- Sum of proper divisors (its aliquot sum) s(n): 4129830269940960
- 1353138827625000 is an abundant number, because the sum of its proper divisors (4129830269940960) is greater than itself. Its abundance is 2776691442315960
Bases of 1353138827625000
- Binary: 1001100111010101100001011110010011100000010001010002
- Hexadecimal: 0x4CEAC2F270228
- Base-36: DBNBE8YII0
Squares and roots of 1353138827625000
- 1353138827625000 squared (13531388276250002) is 1830984686826359463140625000000
- 1353138827625000 cubed (13531388276250003) is 2477576472531547825900929713009765625000000000
-
The
square root of 1353138827625000 is 36785035.3761553423 -
The
cube root of 1353138827625000 is 110606.5345105637
Scales and comparisons
How big is 1353138827625000?- 1,353,138,827,625,000 seconds is equal to 43,025,629 years, 9 weeks, 4 days, 10 hours, 30 minutes.
-
To count from 1 to 1,353,138,827,625,000 would take you about one hundred twenty-nine million, seventy-six thousand, eight hundred eighty-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 1353138827625000 cubic inches would be around 9217.2 feet tall.
Recreational maths with 1353138827625000
- 1353138827625000 backwards is 0005267288313531
- 1353138827625000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1353138827625000's digits is 54
- More coming soon!
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"Number 1353138827625000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 1353138827625000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/1353138827625000/
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The information we have on file for 1353138827625000 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 1353138827625000, math, Factors of 1353138827625000, curriculum, school, college, exams, university, Prime factorization of 1353138827625000, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, three hundred fifty-three trillion, one hundred thirty-eight billion, eight hundred twenty-seven million, six hundred twenty-five thousand.