214323984
214,323,984 is an even composite number composed of five prime numbers multiplied together.
214323984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 214323984:
24 × 32 × 7 × 149 × 1427
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 149 × 1427)See below for interesting mathematical facts about the number 214323984 from the Numbermatics database.
Names of 214323984
- Cardinal: 214323984 can be written as Two hundred fourteen million, three hundred twenty-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.14323984 × 108
Factors of 214323984
Divisors of 214323984
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 149 168 252 298 336 447 504 596 894 1008 1043 1192 1341 1427 1788 2086 2384 2682 2854 3129 3576 4172 4281 5364 5708 6258 7152 8344 8562 9387 9989 10728 11416 12516 12843 16688 17124 18774 19978 21456 22832 25032 25686 29967 34248 37548 39956 50064 51372 59934 68496 75096 79912 89901 102744 119868 150192 159824 179802 205488 212623 239736 359604 425246 479472 637869 719208 850492 1275738 1438416 1488361 1700984 1913607 2551476 2976722 3401968 3827214 4465083 5102952 5953444 7654428 8930166 10205904 11906888 13395249 15308856 17860332 23813776 26790498 30617712 35720664 53580996 71441328 107161992 214323984
- Sum of all divisors σ(n): 690580800
- Sum of proper divisors (its aliquot sum) s(n): 476256816
- 214323984 is an abundant number, because the sum of its proper divisors (476256816) is greater than itself. Its abundance is 261932832
Bases of 214323984
- Binary: 11001100011001010011000100002
- Hexadecimal: 0xCC65310
- Base-36: 3JLPG0
Squares and roots of 214323984
- 214323984 squared (2143239842) is 45934770117632256
- 214323984 cubed (2143239843) is 9844922935735093752827904
-
The
square root of 214323984 is 14639.8081954649 -
The
cube root of 214323984 is 598.4441021239
Scales and comparisons
How big is 214323984?- 214,323,984 seconds is equal to 6 years, 42 weeks, 2 days, 14 hours, 26 minutes, 24 seconds.
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To count from 1 to 214,323,984 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 214323984 cubic inches would be around 49.9 feet tall.
Recreational maths with 214323984
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