213417216
213,417,216 is an even composite number composed of four prime numbers multiplied together.
213417216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 213417216:
28 × 32 × 211 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 211 × 439)See below for interesting mathematical facts about the number 213417216 from the Numbermatics database.
Names of 213417216
- Cardinal: 213417216 can be written as Two hundred thirteen million, four hundred seventeen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 2.13417216 × 108
Factors of 213417216
Divisors of 213417216
- Number of divisors d(n): 108
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 422 439 576 633 768 844 878 1152 1266 1317 1688 1756 1899 2304 2532 2634 3376 3512 3798 3951 5064 5268 6752 7024 7596 7902 10128 10536 13504 14048 15192 15804 20256 21072 27008 28096 30384 31608 40512 42144 54016 56192 60768 63216 81024 84288 92629 112384 121536 126432 162048 168576 185258 243072 252864 277887 337152 370516 486144 505728 555774 741032 833661 1011456 1111548 1482064 1667322 2223096 2964128 3334644 4446192 5928256 6669288 8892384 11856512 13338576 17784768 23713024 26677152 35569536 53354304 71139072 106708608 213417216
- Sum of all divisors σ(n): 619659040
- Sum of proper divisors (its aliquot sum) s(n): 406241824
- 213417216 is an abundant number, because the sum of its proper divisors (406241824) is greater than itself. Its abundance is 192824608
Bases of 213417216
- Binary: 11001011100001111101000000002
- Hexadecimal: 0xCB87D00
- Base-36: 3J29S0
Squares and roots of 213417216
- 213417216 squared (2134172162) is 45546908085190656
- 213417216 cubed (2134172163) is 9720494320949280632733696
-
The
square root of 213417216 is 14608.8061113837 -
The
cube root of 213417216 is 597.5989376497
Scales and comparisons
How big is 213417216?- 213,417,216 seconds is equal to 6 years, 40 weeks, 6 days, 2 hours, 33 minutes, 36 seconds.
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To count from 1 to 213,417,216 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 213417216 cubic inches would be around 49.8 feet tall.
Recreational maths with 213417216
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