134416128
134,416,128 is an even composite number composed of five prime numbers multiplied together.
134416128 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 134416128:
28 × 3 × 7 × 11 × 2273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 2273)See below for interesting mathematical facts about the number 134416128 from the Numbermatics database.
Names of 134416128
- Cardinal: 134416128 can be written as One hundred thirty-four million, four hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.34416128 × 108
Factors of 134416128
Divisors of 134416128
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2273 2464 2688 2816 3696 4224 4546 4928 5376 6819 7392 8448 9092 9856 13638 14784 15911 18184 19712 25003 27276 29568 31822 36368 47733 50006 54552 59136 63644 72736 75009 95466 100012 109104 127288 145472 150018 175021 190932 200024 218208 254576 290944 300036 350042 381864 400048 436416 509152 525063 581888 600072 700084 763728 800096 872832 1018304 1050126 1200144 1400168 1527456 1600192 1745664 2036608 2100252 2400288 2800336 3054912 3200384 4073216 4200504 4800576 5600672 6109824 6400768 8401008 9601152 11201344 12219648 16802016 19202304 22402688 33604032 44805376 67208064 134416128
- Sum of all divisors σ(n): 446213376
- Sum of proper divisors (its aliquot sum) s(n): 311797248
- 134416128 is an abundant number, because the sum of its proper divisors (311797248) is greater than itself. Its abundance is 177381120
Bases of 134416128
- Binary: 10000000001100000111000000002
- Hexadecimal: 0x8030700
- Base-36: 28105C
Squares and roots of 134416128
- 134416128 squared (1344161282) is 18067695466512384
- 134416128 cubed (1344161283) is 2428589666491748321329152
-
The
square root of 134416128 is 11593.7969621691 -
The
cube root of 134416128 is 512.2521544421
Scales and comparisons
How big is 134416128?- 134,416,128 seconds is equal to 4 years, 14 weeks, 1 day, 17 hours, 48 minutes, 48 seconds.
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To count from 1 to 134,416,128 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 134416128 cubic inches would be around 42.7 feet tall.
Recreational maths with 134416128
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