284145120
284,145,120 is an even composite number composed of five prime numbers multiplied together.
284145120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 284145120:
25 × 32 × 5 × 72 × 4027
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 4027)See below for interesting mathematical facts about the number 284145120 from the Numbermatics database.
Names of 284145120
- Cardinal: 284145120 can be written as Two hundred eighty-four million, one hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.8414512 × 108
Factors of 284145120
Divisors of 284145120
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 196 210 224 240 245 252 280 288 294 315 336 360 392 420 441 480 490 504 560 588 630 672 720 735 784 840 882 980 1008 1120 1176 1260 1440 1470 1568 1680 1764 1960 2016 2205 2352 2520 2940 3360 3528 3920 4027 4410 4704 5040 5880 7056 7840 8054 8820 10080 11760 12081 14112 16108 17640 20135 23520 24162 28189 32216 35280 36243 40270 48324 56378 60405 64432 70560 72486 80540 84567 96648 112756 120810 128864 140945 144972 161080 169134 181215 193296 197323 225512 241620 253701 281890 289944 322160 338268 362430 386592 394646 422835 451024 483240 507402 563780 579888 591969 644320 676536 724860 789292 845670 902048 966480 986615 1014804 1127560 1159776 1183938 1268505 1353072 1449720 1578584 1691340 1775907 1932960 1973230 2029608 2255120 2367876 2537010 2706144 2899440 2959845 3157168 3382680 3551814 3946460 4059216 4510240 4735752 5074020 5798880 5919690 6314336 6765360 7103628 7892920 8118432 8879535 9471504 10148040 11839380 13530720 14207256 15785840 17759070 18943008 20296080 23678760 28414512 31571680 35518140 40592160 47357520 56829024 71036280 94715040 142072560 284145120
- Sum of all divisors σ(n): 1128234744
- Sum of proper divisors (its aliquot sum) s(n): 844089624
- 284145120 is an abundant number, because the sum of its proper divisors (844089624) is greater than itself. Its abundance is 559944504
Bases of 284145120
- Binary: 100001110111110110101111000002
- Hexadecimal: 0x10EFB5E0
- Base-36: 4P67S0
Squares and roots of 284145120
- 284145120 squared (2841451202) is 80738449219814400
- 284145120 cubed (2841451203) is 22941436342178069065728000
-
The
square root of 284145120 is 16856.6046403183 -
The
cube root of 284145120 is 657.4257854521
Scales and comparisons
How big is 284145120?- 284,145,120 seconds is equal to 9 years, 1 week, 5 days, 17 hours, 12 minutes.
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To count from 1 to 284,145,120 would take you about thirteen 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 284145120 cubic inches would be around 54.8 feet tall.
Recreational maths with 284145120
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