444214134
444,214,134 is an even composite number composed of six prime numbers multiplied together.
444214134 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 444214134:
2 × 32 × 7 × 132 × 23 × 907
(2 × 3 × 3 × 7 × 13 × 13 × 23 × 907)See below for interesting mathematical facts about the number 444214134 from the Numbermatics database.
Names of 444214134
- Cardinal: 444214134 can be written as Four hundred forty-four million, two hundred fourteen thousand, one hundred thirty-four.
Scientific notation
- Scientific notation: 4.44214134 × 108
Factors of 444214134
Divisors of 444214134
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 91 117 126 138 161 169 182 207 234 273 299 322 338 414 483 507 546 598 819 897 907 966 1014 1183 1449 1521 1638 1794 1814 2093 2366 2691 2721 2898 3042 3549 3887 4186 5382 5442 6279 6349 7098 7774 8163 10647 11661 11791 12558 12698 16326 18837 19047 20861 21294 23322 23582 27209 34983 35373 37674 38094 41722 54418 57141 62583 69966 70746 81627 82537 106119 114282 125166 146027 153283 163254 165074 187749 212238 244881 247611 271193 292054 306566 375498 438081 459849 489762 495222 542386 742833 813579 876162 919698 1072981 1314243 1379547 1485666 1627158 1898351 2145962 2440737 2628486 2759094 3218943 3525509 3796702 4881474 5695053 6437886 7051018 9656829 10576527 11390106 17085159 19313658 21153054 24678563 31729581 34170318 49357126 63459162 74035689 148071378 222107067 444214134
- Sum of all divisors σ(n): 1244236032
- Sum of proper divisors (its aliquot sum) s(n): 800021898
- 444214134 is an abundant number, because the sum of its proper divisors (800021898) is greater than itself. Its abundance is 355807764
Bases of 444214134
- Binary: 110100111101000101011011101102
- Hexadecimal: 0x1A7A2B76
- Base-36: 7CH1TI
Squares and roots of 444214134
- 444214134 squared (4442141342) is 197326196845369956
- 444214134 cubed (4442141343) is 87655085647179546914158104
-
The
square root of 444214134 is 21076.3880681677 -
The
cube root of 444214134 is 763.0109857697
Scales and comparisons
How big is 444214134?- 444,214,134 seconds is equal to 14 years, 6 weeks, 3 days, 8 hours, 48 minutes, 54 seconds.
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To count from 1 to 444,214,134 would take you about twenty-one 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 444214134 cubic inches would be around 63.6 feet tall.
Recreational maths with 444214134
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