105105312
105,105,312 is an even composite number composed of five prime numbers multiplied together.
105105312 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 105105312:
25 × 32 × 13 × 67 × 419
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 67 × 419)See below for interesting mathematical facts about the number 105105312 from the Numbermatics database.
Names of 105105312
- Cardinal: 105105312 can be written as One hundred five million, one hundred five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.05105312 × 108
Factors of 105105312
Divisors of 105105312
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 234 268 288 312 402 416 419 468 536 603 624 804 838 871 936 1072 1206 1248 1257 1608 1676 1742 1872 2144 2412 2514 2613 3216 3352 3484 3744 3771 4824 5028 5226 5447 6432 6704 6968 7542 7839 9648 10056 10452 10894 13408 13936 15084 15678 16341 19296 20112 20904 21788 27872 28073 30168 31356 32682 40224 41808 43576 49023 56146 60336 62712 65364 83616 84219 87152 98046 112292 120672 125424 130728 168438 174304 196092 224584 250848 252657 261456 336876 364949 392184 449168 505314 522912 673752 729898 784368 898336 1010628 1094847 1347504 1459796 1568736 2021256 2189694 2695008 2919592 3284541 4042512 4379388 5839184 6569082 8085024 8758776 11678368 13138164 17517552 26276328 35035104 52552656 105105312
- Sum of all divisors σ(n): 327468960
- Sum of proper divisors (its aliquot sum) s(n): 222363648
- 105105312 is an abundant number, because the sum of its proper divisors (222363648) is greater than itself. Its abundance is 117258336
Bases of 105105312
- Binary: 1100100001111000111101000002
- Hexadecimal: 0x643C7A0
- Base-36: 1QKRS0
Squares and roots of 105105312
- 105105312 squared (1051053122) is 11047126610617344
- 105105312 cubed (1051053123) is 1161111689112438453731328
-
The
square root of 105105312 is 10252.0881775373 -
The
cube root of 105105312 is 471.9270690725
Scales and comparisons
How big is 105105312?- 105,105,312 seconds is equal to 3 years, 17 weeks, 5 days, 11 hours, 55 minutes, 12 seconds.
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To count from 1 to 105,105,312 would take you about five 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 105105312 cubic inches would be around 39.3 feet tall.
Recreational maths with 105105312
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