135084768
135,084,768 is an even composite number composed of five prime numbers multiplied together.
135084768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 135084768:
25 × 3 × 72 × 13 × 472
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 47 × 47)See below for interesting mathematical facts about the number 135084768 from the Numbermatics database.
Names of 135084768
- Cardinal: 135084768 can be written as One hundred thirty-five million, eighty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.35084768 × 108
Factors of 135084768
Divisors of 135084768
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 47 48 49 52 56 78 84 91 94 96 98 104 112 141 147 156 168 182 188 196 208 224 273 282 294 312 329 336 364 376 392 416 546 564 588 611 624 637 658 672 728 752 784 987 1092 1128 1176 1222 1248 1274 1316 1456 1504 1568 1833 1911 1974 2184 2209 2256 2303 2352 2444 2548 2632 2912 3666 3822 3948 4277 4368 4418 4512 4606 4704 4888 5096 5264 6627 6909 7332 7644 7896 8554 8736 8836 9212 9776 10192 10528 12831 13254 13818 14664 15288 15463 15792 17108 17672 18424 19552 20384 25662 26508 27636 28717 29328 29939 30576 30926 31584 34216 35344 36848 46389 51324 53016 55272 57434 58656 59878 61152 61852 68432 70688 73696 86151 89817 92778 102648 106032 108241 110544 114868 119756 123704 136864 172302 179634 185556 201019 205296 212064 216482 221088 229736 239512 247408 324723 344604 359268 371112 402038 410592 432964 459472 479024 494816 603057 649446 689208 718536 742224 804076 865928 918944 958048 1206114 1298892 1378416 1407133 1437072 1484448 1608152 1731856 2412228 2597784 2756832 2814266 2874144 3216304 3463712 4221399 4824456 5195568 5628532 6432608 8442798 9648912 10391136 11257064 16885596 19297824 22514128 33771192 45028256 67542384 135084768
- Sum of all divisors σ(n): 453873672
- Sum of proper divisors (its aliquot sum) s(n): 318788904
- 135084768 is an abundant number, because the sum of its proper divisors (318788904) is greater than itself. Its abundance is 183704136
Bases of 135084768
- Binary: 10000000110100111010111000002
- Hexadecimal: 0x80D3AE0
- Base-36: 28FC2O
Squares and roots of 135084768
- 135084768 squared (1350847682) is 18247894545613824
- 135084768 cubed (1350847683) is 2465012601182708832632832
-
The
square root of 135084768 is 11622.5973000875 -
The
cube root of 135084768 is 513.1001328273
Scales and comparisons
How big is 135084768?- 135,084,768 seconds is equal to 4 years, 15 weeks, 2 days, 11 hours, 32 minutes, 48 seconds.
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To count from 1 to 135,084,768 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 135084768 cubic inches would be around 42.8 feet tall.
Recreational maths with 135084768
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The information we have on file for 135084768 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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