4002022563840000
4,002,022,563,840,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 4002022563840000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2040 divisors.
4002022563840000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and forty divisors.
Prime factorization of 4002022563840000:
216 × 33 × 54 × 7 × 7192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 719 × 719)See below for interesting mathematical facts about the number 4002022563840000 from the Numbermatics database.
Names of 4002022563840000
- Cardinal: 4002022563840000 can be written as Four quadrillion, two trillion, twenty-two billion, five hundred sixty-three million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 4.00202256384 × 1015
Factors of 4002022563840000
Divisors of 4002022563840000
- Number of divisors d(n): 2040
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 250 252 256 270 280 288 300 315 320 336 350 360 375 378 384 400 420 432 448 450 480 500 504 512 525 540 560 576 600 625 630 640 672 675 700 719 720 750 756 768 800 840 864 875 896 900 945 960 1000 1008 1024 1050 1080 1120 1125 1152 1200 1250 1260 1280 1344 1350 1400 1438 1440 1500 1512 1536 1575 1600 1680 1728 1750 1792 1800 1875 1890 1920 2000 2016 2048 2100 2157 2160 2240 2250 2304 2400 2500 2520 2560 2625 2688 2700 2800 2876 2880 3000 3024 3072 3150 3200 3360 3375 3456 3500 3584 3595 3600 3750 3780 3840 4000 4032 4096 4200 4314 4320 4375 4480 4500 4608 4725 4800 5000 5033 5040 5120 5250 5376 5400 5600 5625 5752 5760 6000 6048 6144 6300 6400 6471 6720 6750 6912 7000 7168 7190 7200 7500 7560 7680 7875 8000 8064 8192 8400 8628 8640 8750 8960 9000 9216 9450 9600 10000 10066 10080 10240 10500 10752 10785 10800 11200 11250 11504 11520 12000 12096 12288 12600 12800 12942 13125 13440 13500 13824 14000 14336 14380 14400 15000 15099 15120 15360 15750 16000 16128 16384 16800 16875 17256 17280 17500 17920 17975 18000 18432 18900 19200 19413 20000 20132 20160 20480 21000 21504 21570 21600 22400 22500 23008 23040 23625 24000 24192 24576 25165 25200 25600 25884 26250 26880 27000 27648 28000 28672 28760 28800 30000 30198 30240 30720 31500 32000 32256 32355 32768 33600 33750 34512 34560 35000 35840 35950 36000 36864 37800 38400 38826 39375 40000 40264 40320 40960 42000 43008 43140 43200 44800 45000 45297 46016 46080 47250 48000 48384 49152 50330 50400 51200 51768 52500 53760 53925 54000 55296 56000 57344 57520 57600 60000 60396 60480 61440 63000 64000 64512 64710 65536 67200 67500 69024 69120 70000 71680 71900 72000 73728 75495 75600 76800 77652 78750 80000 80528 80640 81920 84000 86016 86280 86400 89600 89875 90000 90594 92032 92160 94500 96000 96768 97065 98304 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2001011281920000 4002022563840000
- Sum of all divisors σ(n): 16957813350441920
- Sum of proper divisors (its aliquot sum) s(n): 12955790786601920
- 4002022563840000 is an abundant number, because the sum of its proper divisors (12955790786601920) is greater than itself. Its abundance is 8953768222761920
Bases of 4002022563840000
- Binary: 11100011011111010001011111010100110100000000000000002
- Hexadecimal: 0xE37D17D4D0000
- Base-36: 13ELJS9CLC0
Squares and roots of 4002022563840000
- 4002022563840000 squared (40020225638400002) is 16016184601484486875545600000000
- 4002022563840000 cubed (40020225638400003) is 64097132161767674835657833110831104000000000000
-
The
square root of 4002022563840000 is 63261540.9537263801 -
The
cube root of 4002022563840000 is 158766.8558549777
Scales and comparisons
How big is 4002022563840000?- 4,002,022,563,840,000 seconds is equal to 127,251,938 years, 24 weeks.
-
To count from 1 to 4,002,022,563,840,000 would take you about three hundred eighty-one million, seven hundred fifty-five thousand, eight hundred fifteen 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 4002022563840000 cubic inches would be around 13230.6 feet tall.
Recreational maths with 4002022563840000
- 4002022563840000 backwards is 0000483652202004
- 4002022563840000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4002022563840000's digits is 36
- More coming soon!
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"Number 4002022563840000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 4002022563840000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/4002022563840000/
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Numbermatics. 2024. "Number 4002022563840000 - Facts about the integer". https://numbermatics.com/n/4002022563840000/
The information we have on file for 4002022563840000 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!
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