106311216
106,311,216 is an even composite number composed of six prime numbers multiplied together.
What does the number 106311216 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 160 divisors.
106311216 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 106311216:
24 × 3 × 11 × 29 × 53 × 131
(2 × 2 × 2 × 2 × 3 × 11 × 29 × 53 × 131)See below for interesting mathematical facts about the number 106311216 from the Numbermatics database.
Names of 106311216
- Cardinal: 106311216 can be written as One hundred six million, three hundred eleven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.06311216 × 108
Factors of 106311216
Divisors of 106311216
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 53 58 66 87 88 106 116 131 132 159 174 176 212 232 262 264 318 319 348 393 424 464 524 528 583 636 638 696 786 848 957 1048 1166 1272 1276 1392 1441 1537 1572 1749 1914 2096 2332 2544 2552 2882 3074 3144 3498 3799 3828 4323 4611 4664 5104 5764 6148 6288 6943 6996 7598 7656 8646 9222 9328 11397 11528 12296 13886 13992 15196 15312 16907 17292 18444 20829 22794 23056 24592 27772 27984 30392 33814 34584 36888 41658 41789 45588 50721 55544 60784 67628 69168 73776 76373 83316 83578 91176 101442 111088 125367 135256 152746 166632 167156 182352 201347 202884 229119 250734 270512 305492 333264 334312 402694 405768 458238 501468 604041 610984 668624 805388 811536 916476 1002936 1208082 1221968 1610776 1832952 2005872 2214817 2416164 3221552 3665904 4429634 4832328 6644451 8859268 9664656 13288902 17718536 26577804 35437072 53155608 106311216
- Sum of all divisors σ(n): 318193920
- Sum of proper divisors (its aliquot sum) s(n): 211882704
- 106311216 is an abundant number, because the sum of its proper divisors (211882704) is greater than itself. Its abundance is 105571488
Bases of 106311216
- Binary: 1100101011000101110001100002
- Hexadecimal: 0x6562E30
- Base-36: 1RAM9C
Squares and roots of 106311216
- 106311216 squared (1063112162) is 11302074647398656
- 106311216 cubed (1063112163) is 1201537299087722356125696
-
The
square root of 106311216 is 10310.7330486247 -
The
cube root of 106311216 is 473.7250626547
Scales and comparisons
How big is 106311216?- 106,311,216 seconds is equal to 3 years, 19 weeks, 5 days, 10 hours, 53 minutes, 36 seconds.
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To count from 1 to 106,311,216 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 106311216 cubic inches would be around 39.5 feet tall.
Recreational maths with 106311216
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The information we have on file for 106311216 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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