214838442
214,838,442 is an even composite number composed of six prime numbers multiplied together.
214838442 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 214838442:
2 × 32 × 72 × 13 × 41 × 457
(2 × 3 × 3 × 7 × 7 × 13 × 41 × 457)See below for interesting mathematical facts about the number 214838442 from the Numbermatics database.
Names of 214838442
- Cardinal: 214838442 can be written as Two hundred fourteen million, eight hundred thirty-eight thousand, four hundred forty-two.
Scientific notation
- Scientific notation: 2.14838442 × 108
Factors of 214838442
Divisors of 214838442
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 26 39 41 42 49 63 78 82 91 98 117 123 126 147 182 234 246 273 287 294 369 441 457 533 546 574 637 738 819 861 882 914 1066 1274 1371 1599 1638 1722 1911 2009 2583 2742 3198 3199 3731 3822 4018 4113 4797 5166 5733 5941 6027 6398 7462 8226 9594 9597 11193 11466 11882 12054 17823 18081 18737 19194 22386 22393 26117 28791 33579 35646 36162 37474 41587 44786 52234 53469 56211 57582 67158 67179 78351 83174 106938 112422 124761 131159 134358 156702 168633 201537 235053 243581 249522 262318 291109 337266 374283 393477 403074 470106 487162 582218 730743 748566 786954 873327 918113 1180431 1461486 1705067 1746654 1836226 2192229 2360862 2619981 2754339 3410134 4384458 5115201 5239962 5508678 8263017 10230402 11935469 15345603 16526034 23870938 30691206 35806407 71612814 107419221 214838442
- Sum of all divisors σ(n): 598662792
- Sum of proper divisors (its aliquot sum) s(n): 383824350
- 214838442 is an abundant number, because the sum of its proper divisors (383824350) is greater than itself. Its abundance is 168985908
Bases of 214838442
- Binary: 11001100111000101100101010102
- Hexadecimal: 0xCCE2CAA
- Base-36: 3JWQEI
Squares and roots of 214838442
- 214838442 squared (2148384422) is 46155556160987364
- 214838442 cubed (2148384423) is 9915987775270026463446888
-
The
square root of 214838442 is 14657.3681812255 -
The
cube root of 214838442 is 598.9225496593
Scales and comparisons
How big is 214838442?- 214,838,442 seconds is equal to 6 years, 43 weeks, 1 day, 13 hours, 20 minutes, 42 seconds.
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To count from 1 to 214,838,442 would take you about ten 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 214838442 cubic inches would be around 49.9 feet tall.
Recreational maths with 214838442
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