135383664
135,383,664 is an even composite number composed of five prime numbers multiplied together.
135383664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 135383664:
24 × 3 × 13 × 192 × 601
(2 × 2 × 2 × 2 × 3 × 13 × 19 × 19 × 601)See below for interesting mathematical facts about the number 135383664 from the Numbermatics database.
Names of 135383664
- Cardinal: 135383664 can be written as One hundred thirty-five million, three hundred eighty-three thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.35383664 × 108
Factors of 135383664
Divisors of 135383664
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 361 456 494 601 624 722 741 912 988 1083 1202 1444 1482 1803 1976 2166 2404 2888 2964 3606 3952 4332 4693 4808 5776 5928 7212 7813 8664 9386 9616 11419 11856 14079 14424 15626 17328 18772 22838 23439 28158 28848 31252 34257 37544 45676 46878 56316 62504 68514 75088 91352 93756 112632 125008 137028 148447 182704 187512 216961 225264 274056 296894 375024 433922 445341 548112 593788 650883 867844 890682 1187576 1301766 1735688 1781364 2375152 2603532 2820493 3471376 3562728 5207064 5640986 7125456 8461479 10414128 11281972 16922958 22563944 33845916 45127888 67691832 135383664
- Sum of all divisors σ(n): 398172432
- Sum of proper divisors (its aliquot sum) s(n): 262788768
- 135383664 is an abundant number, because the sum of its proper divisors (262788768) is greater than itself. Its abundance is 127405104
Bases of 135383664
- Binary: 10000001000111001010011100002
- Hexadecimal: 0x811CA70
- Base-36: 28LQPC
Squares and roots of 135383664
- 135383664 squared (1353836642) is 18328736478064896
- 135383664 cubed (1353836643) is 2481411500890881250258944
-
The
square root of 135383664 is 11635.4485947039 -
The
cube root of 135383664 is 513.4782919265
Scales and comparisons
How big is 135383664?- 135,383,664 seconds is equal to 4 years, 15 weeks, 5 days, 22 hours, 34 minutes, 24 seconds.
-
To count from 1 to 135,383,664 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 135383664 cubic inches would be around 42.8 feet tall.
Recreational maths with 135383664
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