42768014625
42,768,014,625 is an odd composite number composed of six prime numbers multiplied together.
What does the number 42768014625 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
42768014625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42768014625:
32 × 53 × 72 × 29 × 31 × 863
(3 × 3 × 5 × 5 × 5 × 7 × 7 × 29 × 31 × 863)See below for interesting mathematical facts about the number 42768014625 from the Numbermatics database.
Names of 42768014625
- Cardinal: 42768014625 can be written as Forty-two billion, seven hundred sixty-eight million, fourteen thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 4.2768014625 × 1010
Factors of 42768014625
Divisors of 42768014625
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 7 9 15 21 25 29 31 35 45 49 63 75 87 93 105 125 145 147 155 175 203 217 225 245 261 279 315 375 435 441 465 525 609 651 725 735 775 863 875 899 1015 1085 1125 1225 1305 1395 1421 1519 1575 1827 1953 2175 2205 2325 2589 2625 2697 3045 3255 3625 3675 3875 4263 4315 4495 4557 5075 5425 6041 6125 6293 6525 6975 7105 7595 7767 7875 8091 9135 9765 10875 11025 11625 12789 12945 13485 13671 15225 16275 18123 18375 18879 21315 21575 22475 22785 25027 25375 26753 27125 30205 31465 32625 34875 35525 37975 38835 40455 42287 44051 45675 48825 54369 55125 56637 63945 64725 67425 68355 75081 76125 80259 81375 90615 94395 106575 107875 112375 113925 125135 126861 132153 133765 151025 157325 175189 177625 187271 189875 194175 202275 211435 220255 225243 228375 240777 244125 271845 283185 319725 323625 337125 341775 375405 380583 396459 401295 453075 471975 525567 532875 561813 569625 625675 634305 660765 668825 755125 775837 786625 875945 936355 970875 1011375 1057175 1101275 1126215 1203885 1226323 1310897 1359225 1415925 1576701 1598625 1685439 1708875 1877025 1902915 1982295 2006475 2265375 2327511 2359875 2627835 2809065 3128375 3171525 3303825 3344125 3678969 3879185 3932691 4379725 4681775 5285875 5430859 5506375 5631075 6019425 6131615 6554485 6796125 6982533 7079625 7883505 8427195 9385125 9514575 9911475 10032375 11036907 11637555 11798073 13139175 14045325 15857625 16292577 16519125 18394845 19395925 19663455 21898625 23408875 27154295 28155375 30097125 30658075 32772425 34912665 38016013 39417525 42135975 47572875 48877731 49557375 55184535 58187775 58990365 65695875 70226625 81462885 91974225 96979625 98317275 114048039 135771475 153290375 163862125 174563325 190080065 197087625 210679875 244388655 275922675 290938875 294951825 342144117 407314425 459871125 491586375 570240195 678857375 872816625 950400325 1221943275 1379613375 1474759125 1710720585 2036572125 2851200975 4752001625 6109716375 8553602925 14256004875 42768014625
- Sum of all divisors σ(n): 95879946240
- Sum of proper divisors (its aliquot sum) s(n): 53111931615
- 42768014625 is an abundant number, because the sum of its proper divisors (53111931615) is greater than itself. Its abundance is 10343916990
Bases of 42768014625
- Binary: 1001111101010010110000011101001000012
- Hexadecimal: 0x9F52C1D21
- Base-36: JNAYZA9
Squares and roots of 42768014625
- 42768014625 squared (427680146252) is 1829103074964213890625
- 42768014625 cubed (427680146253) is 78227107060701971025878150390625
-
The
square root of 42768014625 is 206804.2906348899 -
The
cube root of 42768014625 is 3497.0864085735
Scales and comparisons
How big is 42768014625?- 42,768,014,625 seconds is equal to 1,359 years, 46 weeks, 2 days, 4 hours, 3 minutes, 45 seconds.
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To count from 1 to 42,768,014,625 would take you about two thousand, seven hundred nineteen 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 42768014625 cubic inches would be around 291.4 feet tall.
Recreational maths with 42768014625
- 42768014625 backwards is 52641086724
- 42768014625 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42768014625's digits is 45
- More coming soon!
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