106003128
106,003,128 is an even composite number composed of six prime numbers multiplied together.
106003128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 106003128:
23 × 3 × 7 × 11 × 19 × 3019
(2 × 2 × 2 × 3 × 7 × 11 × 19 × 3019)See below for interesting mathematical facts about the number 106003128 from the Numbermatics database.
Names of 106003128
- Cardinal: 106003128 can be written as One hundred six million, three thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.06003128 × 108
Factors of 106003128
Divisors of 106003128
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1254 1463 1596 1672 1848 2508 2926 3019 3192 4389 5016 5852 6038 8778 9057 11704 12076 17556 18114 21133 24152 33209 35112 36228 42266 57361 63399 66418 72456 84532 99627 114722 126798 132836 169064 172083 199254 229444 232463 253596 265672 344166 398508 401527 458888 464926 507192 630971 688332 697389 797016 803054 929852 1204581 1261942 1376664 1394778 1606108 1859704 1892913 2409162 2523884 2789556 3212216 3785826 4416797 4818324 5047768 5579112 7571652 8833594 9636648 13250391 15143304 17667188 26500782 35334376 53001564 106003128
- Sum of all divisors σ(n): 347904000
- Sum of proper divisors (its aliquot sum) s(n): 241900872
- 106003128 is an abundant number, because the sum of its proper divisors (241900872) is greater than itself. Its abundance is 135897744
Bases of 106003128
- Binary: 1100101000101111010101110002
- Hexadecimal: 0x6517AB8
- Base-36: 1R40JC
Squares and roots of 106003128
- 106003128 squared (1060031282) is 11236663145784384
- 106003128 cubed (1060031283) is 1191121441735464717553152
-
The
square root of 106003128 is 10295.7820489753 -
The
cube root of 106003128 is 473.2670043053
Scales and comparisons
How big is 106003128?- 106,003,128 seconds is equal to 3 years, 19 weeks, 1 day, 21 hours, 18 minutes, 48 seconds.
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To count from 1 to 106,003,128 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 106003128 cubic inches would be around 39.4 feet tall.
Recreational maths with 106003128
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