490142198
490,142,198 is an even composite number composed of six prime numbers multiplied together.
490142198 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 490142198:
2 × 73 × 13 × 17 × 53 × 61
(2 × 7 × 7 × 7 × 13 × 17 × 53 × 61)See below for interesting mathematical facts about the number 490142198 from the Numbermatics database.
Names of 490142198
- Cardinal: 490142198 can be written as Four hundred ninety million, one hundred forty-two thousand, one hundred ninety-eight.
Scientific notation
- Scientific notation: 4.90142198 × 108
Factors of 490142198
Divisors of 490142198
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 7 13 14 17 26 34 49 53 61 91 98 106 119 122 182 221 238 343 371 427 442 637 686 689 742 793 833 854 901 1037 1274 1378 1547 1586 1666 1802 2074 2597 2989 3094 3233 4459 4823 5194 5551 5831 5978 6307 6466 7259 8918 9646 10829 11102 11662 11713 12614 13481 14518 18179 20923 21658 22631 23426 26962 33761 36358 38857 41846 42029 44149 45262 50813 54961 67522 75803 77714 81991 84058 88298 94367 101626 109922 151606 158417 163982 188734 236327 271999 294203 309043 316834 355691 384727 472654 543998 573937 588406 618086 660569 711382 714493 769454 1108919 1147874 1321138 1428986 2059421 2217838 2693089 4017559 4118842 4623983 5001451 5386178 8035118 9247966 10002902 14415947 18851623 28831894 35010157 37703246 70020314 245071099 490142198
- Sum of all divisors σ(n): 1012435200
- Sum of proper divisors (its aliquot sum) s(n): 522293002
- 490142198 is an abundant number, because the sum of its proper divisors (522293002) is greater than itself. Its abundance is 32150804
Bases of 490142198
- Binary: 111010011011011111001111101102
- Hexadecimal: 0x1D36F9F6
- Base-36: 83TG52
Squares and roots of 490142198
- 490142198 squared (4901421982) is 240239374260271204
- 490142198 cubed (4901421983) is 117751454946073952004666392
-
The
square root of 490142198 is 22139.1553136067 -
The
cube root of 490142198 is 788.4497709327
Scales and comparisons
How big is 490142198?- 490,142,198 seconds is equal to 15 years, 30 weeks, 2 days, 22 hours, 36 minutes, 38 seconds.
-
To count from 1 to 490,142,198 would take you about twenty-three 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 490142198 cubic inches would be around 65.7 feet tall.
Recreational maths with 490142198
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