106126416
106,126,416 is an even composite number composed of five prime numbers multiplied together.
106126416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 106126416:
24 × 33 × 11 × 23 × 971
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 23 × 971)See below for interesting mathematical facts about the number 106126416 from the Numbermatics database.
Names of 106126416
- Cardinal: 106126416 can be written as One hundred six million, one hundred twenty-six thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.06126416 × 108
Factors of 106126416
Divisors of 106126416
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 971 1012 1104 1188 1242 1518 1584 1656 1942 2024 2277 2376 2484 2913 3036 3312 3884 4048 4554 4752 4968 5826 6072 6831 7768 8739 9108 9936 10681 11652 12144 13662 15536 17478 18216 21362 22333 23304 26217 27324 32043 34956 36432 42724 44666 46608 52434 54648 64086 66999 69912 85448 89332 96129 104868 109296 128172 133998 139824 170896 178664 192258 200997 209736 245663 256344 267996 288387 357328 384516 401994 419472 491326 512688 535992 576774 602991 736989 769032 803988 982652 1071984 1153548 1205982 1473978 1538064 1607976 1965304 2210967 2307096 2411964 2947956 3215952 3930608 4421934 4614192 4823928 5895912 6632901 8843868 9647856 11791824 13265802 17687736 26531604 35375472 53063208 106126416
- Sum of all divisors σ(n): 347120640
- Sum of proper divisors (its aliquot sum) s(n): 240994224
- 106126416 is an abundant number, because the sum of its proper divisors (240994224) is greater than itself. Its abundance is 134867808
Bases of 106126416
- Binary: 1100101001101011100010100002
- Hexadecimal: 0x6535C50
- Base-36: 1R6NO0
Squares and roots of 106126416
- 106126416 squared (1061264162) is 11262816173005056
- 106126416 cubed (1061264163) is 1195282314507862543159296
-
The
square root of 106126416 is 10301.7676153173 -
The
cube root of 106126416 is 473.4504125289
Scales and comparisons
How big is 106126416?- 106,126,416 seconds is equal to 3 years, 19 weeks, 3 days, 7 hours, 33 minutes, 36 seconds.
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To count from 1 to 106,126,416 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 106126416 cubic inches would be around 39.5 feet tall.
Recreational maths with 106126416
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