428008984320
428,008,984,320 is an even composite number composed of five prime numbers multiplied together.
What does the number 428008984320 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
428008984320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428008984320:
28 × 3 × 5 × 41 × 2718553
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 41 × 2718553)See below for interesting mathematical facts about the number 428008984320 from the Numbermatics database.
Names of 428008984320
- Cardinal: 428008984320 can be written as Four hundred twenty-eight billion, eight million, nine hundred eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.2800898432 × 1011
Factors of 428008984320
Divisors of 428008984320
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 960 984 1230 1280 1312 1640 1920 1968 2460 2624 3280 3840 3936 4920 5248 6560 7872 9840 10496 13120 15744 19680 26240 31488 39360 52480 78720 157440 2718553 5437106 8155659 10874212 13592765 16311318 21748424 27185530 32622636 40778295 43496848 54371060 65245272 81556590 86993696 108742120 111460673 130490544 163113180 173987392 217484240 222921346 260981088 326226360 334382019 347974784 434968480 445842692 521962176 557303365 652452720 668764038 695949568 869936960 891685384 1043924352 1114606730 1304905440 1337528076 1671910095 1739873920 1783370768 2087848704 2229213460 2609810880 2675056152 3343820190 3479747840 3566741536 4458426920 5219621760 5350112304 6687640380 7133483072 8916853840 10439243520 10700224608 13375280760 14266966144 17833707680 21400449216 26750561520 28533932288 35667415360 42800898432 53501123040 71334830720 85601796864 107002246080 142669661440 214004492160 428008984320
- Sum of all divisors σ(n): 1400294542752
- Sum of proper divisors (its aliquot sum) s(n): 972285558432
- 428008984320 is an abundant number, because the sum of its proper divisors (972285558432) is greater than itself. Its abundance is 544276574112
Bases of 428008984320
- Binary: 1100011101001110101001011001111000000002
- Hexadecimal: 0x63A752CF00
- Base-36: 5GMHHXXC
Squares and roots of 428008984320
- 428008984320 squared (4280089843202) is 183191690658638005862400
- 428008984320 cubed (4280089843203) is 78407689454667284723716029677568000
-
The
square root of 428008984320 is 654223.9557827273 -
The
cube root of 428008984320 is 7536.1747742789
Scales and comparisons
How big is 428008984320?- 428,008,984,320 seconds is equal to 13,609 years, 18 weeks, 5 days, 16 hours, 32 minutes.
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To count from 1 to 428,008,984,320 would take you about twenty-seven thousand, two hundred eighteen 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 428008984320 cubic inches would be around 628 feet tall.
Recreational maths with 428008984320
- 428008984320 backwards is 023489800824
- 428008984320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428008984320's digits is 48
- More coming soon!
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