42740862304000
42,740,862,304,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 42740862304000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 288 divisors.
42740862304000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42740862304000:
28 × 53 × 73 × 3894029
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 3894029)See below for interesting mathematical facts about the number 42740862304000 from the Numbermatics database.
Names of 42740862304000
- Cardinal: 42740862304000 can be written as Forty-two trillion, seven hundred forty billion, eight hundred sixty-two million, three hundred four thousand.
Scientific notation
- Scientific notation: 4.2740862304 × 1013
Factors of 42740862304000
Divisors of 42740862304000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 200 224 245 250 256 280 320 343 350 392 400 448 490 500 560 640 686 700 784 800 875 896 980 1000 1120 1225 1280 1372 1400 1568 1600 1715 1750 1792 1960 2000 2240 2450 2744 2800 3136 3200 3430 3500 3920 4000 4480 4900 5488 5600 6125 6272 6400 6860 7000 7840 8000 8575 8960 9800 10976 11200 12250 12544 13720 14000 15680 16000 17150 19600 21952 22400 24500 27440 28000 31360 32000 34300 39200 42875 43904 44800 49000 54880 56000 62720 68600 78400 85750 87808 98000 109760 112000 137200 156800 171500 196000 219520 224000 274400 313600 343000 392000 439040 548800 686000 784000 1097600 1372000 1568000 2195200 2744000 3894029 5488000 7788058 10976000 15576116 19470145 27258203 31152232 38940290 54516406 62304464 77880580 97350725 109032812 124608928 136291015 155761160 190807421 194701450 218065624 249217856 272582030 311522320 381614842 389402900 436131248 486753625 498435712 545164060 623044640 681455075 763229684 778805800 872262496 954037105 973507250 996871424 1090328120 1246089280 1335651947 1362910150 1526459368 1557611600 1744524992 1908074210 1947014500 2180656240 2492178560 2671303894 2725820300 3052918736 3115223200 3407275375 3489049984 3816148420 3894029000 4361312480 4770185525 4984357120 5342607788 5451640600 6105837472 6230446400 6678259735 6814550750 6978099968 7632296840 7788058000 8722624960 9540371050 10685215576 10903281200 12211674944 12460892800 13356519470 13629101500 15264593680 15576116000 17445249920 19080742100 21370431152 21806562400 23850927625 24423349888 24921785600 26713038940 27258203000 30529187360 31152232000 33391298675 34890499840 38161484200 42740862304 43613124800 47701855250 48846699776 53426077880 54516406000 61058374720 62304464000 66782597350 76322968400 85481724608 87226249600 95403710500 106852155760 109032812000 122116749440 124608928000 133565194700 152645936800 166956493375 170963449216 174452499200 190807421000 213704311520 218065624000 244233498880 267130389400 305291873600 333912986750 341926898432 381614842000 427408623040 436131248000 534260778800 610583747200 667825973500 763229684000 854817246080 872262496000 1068521557600 1221167494400 1335651947000 1526459368000 1709634492160 2137043115200 2671303894000 3052918736000 4274086230400 5342607788000 6105837472000 8548172460800 10685215576000 21370431152000 42740862304000
- Sum of all divisors σ(n): 124166598192000
- Sum of proper divisors (its aliquot sum) s(n): 81425735888000
- 42740862304000 is an abundant number, because the sum of its proper divisors (81425735888000) is greater than itself. Its abundance is 38684873584000
Bases of 42740862304000
- Binary: 10011011011111011000011110101000111111000000002
- Hexadecimal: 0x26DF61EA3F00
- Base-36: F5EVPVNR4
Squares and roots of 42740862304000
- 42740862304000 squared (427408623040002) is 1826781310489488188416000000
- 42740862304000 cubed (427408623040003) is 78078208451151885500522663870464000000000
-
The
square root of 42740862304000 is 6537649.6008886863 -
The
cube root of 42740862304000 is 34963.4618159717
Scales and comparisons
How big is 42740862304000?- 42,740,862,304,000 seconds is equal to 1,359,027 years, 11 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
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To count from 1 to 42,740,862,304,000 would take you about three million, three hundred ninety-seven thousand, five hundred sixty-eight 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 42740862304000 cubic inches would be around 2913.6 feet tall.
Recreational maths with 42740862304000
- 42740862304000 backwards is 00040326804724
- 42740862304000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42740862304000's digits is 40
- More coming soon!
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