135438966
135,438,966 is an even composite number composed of five prime numbers multiplied together.
135438966 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 135438966:
2 × 35 × 132 × 17 × 97
(2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 17 × 97)See below for interesting mathematical facts about the number 135438966 from the Numbermatics database.
Names of 135438966
- Cardinal: 135438966 can be written as One hundred thirty-five million, four hundred thirty-eight thousand, nine hundred sixty-six.
Scientific notation
- Scientific notation: 1.35438966 × 108
Factors of 135438966
Divisors of 135438966
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 97 102 117 153 162 169 194 221 234 243 291 306 338 351 442 459 486 507 582 663 702 873 918 1014 1053 1261 1326 1377 1521 1649 1746 1989 2106 2522 2619 2754 2873 3042 3159 3298 3783 3978 4131 4563 4947 5238 5746 5967 6318 7566 7857 8262 8619 9126 9894 11349 11934 13689 14841 15714 16393 17238 17901 21437 22698 23571 25857 27378 29682 32786 34047 35802 41067 42874 44523 47142 49179 51714 53703 64311 68094 77571 82134 89046 98358 102141 107406 128622 133569 147537 155142 192933 204282 232713 267138 278681 295074 306423 385866 400707 442611 465426 557362 578799 612846 698139 801414 836043 885222 1157598 1327833 1396278 1672086 1736397 2508129 2655666 3472794 3983499 5016258 5209191 7524387 7966998 10418382 15048774 22573161 45146322 67719483 135438966
- Sum of all divisors σ(n): 352510704
- Sum of proper divisors (its aliquot sum) s(n): 217071738
- 135438966 is an abundant number, because the sum of its proper divisors (217071738) is greater than itself. Its abundance is 81632772
Bases of 135438966
- Binary: 10000001001010100010011101102
- Hexadecimal: 0x812A276
- Base-36: 28MXDI
Squares and roots of 135438966
- 135438966 squared (1354389662) is 18343713511149156
- 135438966 cubed (1354389663) is 2484453590550271160412696
-
The
square root of 135438966 is 11637.8247967563 -
The
cube root of 135438966 is 513.5481982211
Scales and comparisons
How big is 135438966?- 135,438,966 seconds is equal to 4 years, 15 weeks, 6 days, 13 hours, 56 minutes, 6 seconds.
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To count from 1 to 135,438,966 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 135438966 cubic inches would be around 42.8 feet tall.
Recreational maths with 135438966
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