814071006
814,071,006 is an even composite number composed of five prime numbers multiplied together.
814071006 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 814071006:
2 × 33 × 72 × 29 × 1032
(2 × 3 × 3 × 3 × 7 × 7 × 29 × 103 × 103)See below for interesting mathematical facts about the number 814071006 from the Numbermatics database.
Names of 814071006
- Cardinal: 814071006 can be written as Eight hundred fourteen million, seventy-one thousand and six.
Scientific notation
- Scientific notation: 8.14071006 × 108
Factors of 814071006
Divisors of 814071006
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 103 126 147 174 189 203 206 261 294 309 378 406 441 522 609 618 721 783 882 927 1218 1323 1421 1442 1566 1827 1854 2163 2646 2781 2842 2987 3654 4263 4326 5047 5481 5562 5974 6489 8526 8961 10094 10609 10962 12789 12978 15141 17922 19467 20909 21218 25578 26883 30282 31827 38367 38934 41818 45423 53766 62727 63654 74263 76734 80649 90846 95481 125454 136269 146363 148526 161298 188181 190962 222789 272538 286443 292726 307661 376362 439089 445578 519841 564543 572886 615322 668367 878178 922983 1039682 1129086 1317267 1336734 1559523 1845966 2005101 2153627 2634534 2768949 3119046 3951801 4010202 4307254 4678569 5537898 6460881 7903602 8306847 9357138 12921762 14035707 15075389 16613694 19382643 28071414 30150778 38765286 45226167 58147929 90452334 116295858 135678501 271357002 407035503 814071006
- Sum of all divisors σ(n): 2198307600
- Sum of proper divisors (its aliquot sum) s(n): 1384236594
- 814071006 is an abundant number, because the sum of its proper divisors (1384236594) is greater than itself. Its abundance is 570165588
Bases of 814071006
- Binary: 1100001000010110111100110111102
- Hexadecimal: 0x3085BCDE
- Base-36: DGOD7I
Squares and roots of 814071006
- 814071006 squared (8140710062) is 662711602809852036
- 814071006 cubed (8140710063) is 539494301187288673657668216
-
The
square root of 814071006 is 28531.9295877443 -
The
cube root of 814071006 is 933.7288171191
Scales and comparisons
How big is 814071006?- 814,071,006 seconds is equal to 25 years, 46 weeks, 2 hours, 50 minutes, 6 seconds.
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To count from 1 to 814,071,006 would take you about thirty-eight 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 814071006 cubic inches would be around 77.8 feet tall.
Recreational maths with 814071006
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