106368768
106,368,768 is an even composite number composed of four prime numbers multiplied together.
106368768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 106368768:
28 × 33 × 11 × 1399
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 1399)See below for interesting mathematical facts about the number 106368768 from the Numbermatics database.
Names of 106368768
- Cardinal: 106368768 can be written as One hundred six million, three hundred sixty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.06368768 × 108
Factors of 106368768
Divisors of 106368768
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1399 1408 1584 1728 2112 2304 2376 2798 2816 3168 3456 4197 4224 4752 5596 6336 6912 8394 8448 9504 11192 12591 12672 15389 16788 19008 22384 25182 25344 30778 33576 37773 38016 44768 46167 50364 61556 67152 75546 76032 89536 92334 100728 123112 134304 138501 151092 179072 184668 201456 246224 268608 277002 302184 358144 369336 402912 415503 492448 537216 554004 604368 738672 805824 831006 984896 1074432 1108008 1208736 1477344 1611648 1662012 1969792 2216016 2417472 2954688 3223296 3324024 3939584 4432032 4834944 5909376 6648048 8864064 9669888 11818752 13296096 17728128 26592192 35456256 53184384 106368768
- Sum of all divisors σ(n): 343392000
- Sum of proper divisors (its aliquot sum) s(n): 237023232
- 106368768 is an abundant number, because the sum of its proper divisors (237023232) is greater than itself. Its abundance is 130654464
Bases of 106368768
- Binary: 1100101011100001111000000002
- Hexadecimal: 0x6570F00
- Base-36: 1RBUO0
Squares and roots of 106368768
- 106368768 squared (1063687682) is 11314314805837824
- 106368768 cubed (1063687683) is 1203489726661128546680832
-
The
square root of 106368768 is 10313.5235492049 -
The
cube root of 106368768 is 473.8105315497
Scales and comparisons
How big is 106368768?- 106,368,768 seconds is equal to 3 years, 19 weeks, 6 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 106,368,768 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 106368768 cubic inches would be around 39.5 feet tall.
Recreational maths with 106368768
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