842914314
842,914,314 is an even composite number composed of five prime numbers multiplied together.
What does the number 842914314 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
842914314 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 842914314:
2 × 32 × 113 × 151 × 233
(2 × 3 × 3 × 11 × 11 × 11 × 151 × 233)See below for interesting mathematical facts about the number 842914314 from the Numbermatics database.
Names of 842914314
- Cardinal: 842914314 can be written as Eight hundred forty-two million, nine hundred fourteen thousand, three hundred fourteen.
Scientific notation
- Scientific notation: 8.42914314 × 108
Factors of 842914314
Divisors of 842914314
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 6 9 11 18 22 33 66 99 121 151 198 233 242 302 363 453 466 699 726 906 1089 1331 1359 1398 1661 2097 2178 2563 2662 2718 3322 3993 4194 4983 5126 7689 7986 9966 11979 14949 15378 18271 23067 23958 28193 29898 35183 36542 46134 54813 56386 70366 84579 105549 109626 164439 169158 200981 211098 253737 310123 316647 328878 387013 401962 507474 602943 620246 633294 774026 930369 1161039 1205886 1808829 1860738 2322078 2791107 3483117 3617658 4257143 5582214 6966234 8514286 12771429 25542858 38314287 46828573 76628574 93657146 140485719 280971438 421457157 842914314
- Sum of all divisors σ(n): 2030790528
- Sum of proper divisors (its aliquot sum) s(n): 1187876214
- 842914314 is an abundant number, because the sum of its proper divisors (1187876214) is greater than itself. Its abundance is 344961900
Bases of 842914314
- Binary: 1100100011110111011010000010102
- Hexadecimal: 0x323DDA0A
- Base-36: DXUKUI
Squares and roots of 842914314
- 842914314 squared (8429143142) is 710504540746090596
- 842914314 cubed (8429143143) is 598894447556876002909191144
-
The
square root of 842914314 is 29032.9866531159 -
The
cube root of 842914314 is 944.6287144773
Scales and comparisons
How big is 842914314?- 842,914,314 seconds is equal to 26 years, 41 weeks, 4 days, 22 hours, 51 minutes, 54 seconds.
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To count from 1 to 842,914,314 would take you about forty 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 842914314 cubic inches would be around 78.7 feet tall.
Recreational maths with 842914314
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