135076968
135,076,968 is an even composite number composed of five prime numbers multiplied together.
135076968 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 135076968:
23 × 32 × 132 × 17 × 653
(2 × 2 × 2 × 3 × 3 × 13 × 13 × 17 × 653)See below for interesting mathematical facts about the number 135076968 from the Numbermatics database.
Names of 135076968
- Cardinal: 135076968 can be written as One hundred thirty-five million, seventy-six thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.35076968 × 108
Factors of 135076968
Divisors of 135076968
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 169 204 221 234 306 312 338 408 442 468 507 612 653 663 676 884 936 1014 1224 1306 1326 1352 1521 1768 1959 1989 2028 2612 2652 2873 3042 3918 3978 4056 5224 5304 5746 5877 6084 7836 7956 8489 8619 11101 11492 11754 12168 15672 15912 16978 17238 22202 22984 23508 25467 25857 33303 33956 34476 44404 47016 50934 51714 66606 67912 68952 76401 88808 99909 101868 103428 110357 133212 144313 152802 199818 203736 206856 220714 266424 288626 305604 331071 399636 432939 441428 577252 611208 662142 799272 865878 882856 993213 1154504 1298817 1324284 1731756 1876069 1986426 2597634 2648568 3463512 3752138 3972852 5195268 5628207 7504276 7945704 10390536 11256414 15008552 16884621 22512828 33769242 45025656 67538484 135076968
- Sum of all divisors σ(n): 420083820
- Sum of proper divisors (its aliquot sum) s(n): 285006852
- 135076968 is an abundant number, because the sum of its proper divisors (285006852) is greater than itself. Its abundance is 149929884
Bases of 135076968
- Binary: 10000000110100011100011010002
- Hexadecimal: 0x80D1C68
- Base-36: 28F620
Squares and roots of 135076968
- 135076968 squared (1350769682) is 18245787284073024
- 135076968 cubed (1350769683) is 2464585625105538772511232
-
The
square root of 135076968 is 11622.2617420191 -
The
cube root of 135076968 is 513.0902569099
Scales and comparisons
How big is 135076968?- 135,076,968 seconds is equal to 4 years, 15 weeks, 2 days, 9 hours, 22 minutes, 48 seconds.
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To count from 1 to 135,076,968 would take you about six 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 135076968 cubic inches would be around 42.8 feet tall.
Recreational maths with 135076968
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