381331216
381,331,216 is an even composite number composed of six prime numbers multiplied together.
381331216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 381331216:
24 × 7 × 17 × 19 × 83 × 127
(2 × 2 × 2 × 2 × 7 × 17 × 19 × 83 × 127)See below for interesting mathematical facts about the number 381331216 from the Numbermatics database.
Names of 381331216
- Cardinal: 381331216 can be written as Three hundred eighty-one million, three hundred thirty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 3.81331216 × 108
Factors of 381331216
Divisors of 381331216
- Number of divisors d(n): 160
-
Complete list of divisors:
1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 83 112 119 127 133 136 152 166 238 254 266 272 304 323 332 476 508 532 581 646 664 889 952 1016 1064 1162 1292 1328 1411 1577 1778 1904 2032 2128 2159 2261 2324 2413 2584 2822 3154 3556 4318 4522 4648 4826 5168 5644 6308 7112 8636 9044 9296 9652 9877 10541 11039 11288 12616 14224 15113 16891 17272 18088 19304 19754 21082 22078 22576 25232 26809 30226 33782 34544 36176 38608 39508 41021 42164 44156 53618 60452 67564 73787 79016 82042 84328 88312 107236 120904 135128 147574 158032 164084 168656 176624 179197 187663 200279 214472 241808 270256 287147 295148 328168 358394 375326 400558 428944 574294 590296 656336 716788 750652 801116 1148588 1180592 1254379 1401953 1433576 1501304 1602232 2297176 2508758 2803906 2867152 3002608 3204464 3404743 4594352 5017516 5607812 6809486 10035032 11215624 13618972 20070064 22431248 23833201 27237944 47666402 54475888 95332804 190665608 381331216
- Sum of all divisors σ(n): 959938560
- Sum of proper divisors (its aliquot sum) s(n): 578607344
- 381331216 is an abundant number, because the sum of its proper divisors (578607344) is greater than itself. Its abundance is 197276128
Bases of 381331216
- Binary: 101101011101010100111000100002
- Hexadecimal: 0x16BAA710
- Base-36: 6B191S
Squares and roots of 381331216
- 381331216 squared (3813312162) is 145413496296038656
- 381331216 cubed (3813312163) is 55450705365379916675485696
-
The
square root of 381331216 is 19527.7038076677 -
The
cube root of 381331216 is 725.1604661061
Scales and comparisons
How big is 381331216?- 381,331,216 seconds is equal to 12 years, 6 weeks, 3 days, 13 hours, 20 minutes, 16 seconds.
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To count from 1 to 381,331,216 would take you about eighteen 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 381331216 cubic inches would be around 60.4 feet tall.
Recreational maths with 381331216
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