83385144
83,385,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 83385144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
83385144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 83385144:
23 × 32 × 41 × 47 × 601
(2 × 2 × 2 × 3 × 3 × 41 × 47 × 601)See below for interesting mathematical facts about the number 83385144 from the Numbermatics database.
Names of 83385144
- Cardinal: 83385144 can be written as Eighty-three million, three hundred eighty-five thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 8.3385144 × 107
Factors of 83385144
Divisors of 83385144
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 36 41 47 72 82 94 123 141 164 188 246 282 328 369 376 423 492 564 601 738 846 984 1128 1202 1476 1692 1803 1927 2404 2952 3384 3606 3854 4808 5409 5781 7212 7708 10818 11562 14424 15416 17343 21636 23124 24641 28247 34686 43272 46248 49282 56494 69372 73923 84741 98564 112988 138744 147846 169482 197128 221769 225976 254223 295692 338964 443538 508446 591384 677928 887076 1016892 1158127 1774152 2033784 2316254 3474381 4632508 6948762 9265016 10423143 13897524 20846286 27795048 41692572 83385144
- Sum of all divisors σ(n): 236658240
- Sum of proper divisors (its aliquot sum) s(n): 153273096
- 83385144 is an abundant number, because the sum of its proper divisors (153273096) is greater than itself. Its abundance is 69887952
Bases of 83385144
- Binary: 1001111100001011011001110002
- Hexadecimal: 0x4F85B38
- Base-36: 1DN8E0
Squares and roots of 83385144
- 83385144 squared (833851442) is 6953082239900736
- 83385144 cubed (833851443) is 579783763817965417065984
-
The
square root of 83385144 is 9131.5466378921 -
The
cube root of 83385144 is 436.8807351873
Scales and comparisons
How big is 83385144?- 83,385,144 seconds is equal to 2 years, 33 weeks, 6 days, 2 hours, 32 minutes, 24 seconds.
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To count from 1 to 83,385,144 would take you about three 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 83385144 cubic inches would be around 36.4 feet tall.
Recreational maths with 83385144
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The information we have on file for 83385144 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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