106749144
106,749,144 is an even composite number composed of four prime numbers multiplied together.
106749144 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 106749144:
23 × 33 × 192 × 372
(2 × 2 × 2 × 3 × 3 × 3 × 19 × 19 × 37 × 37)See below for interesting mathematical facts about the number 106749144 from the Numbermatics database.
Names of 106749144
- Cardinal: 106749144 can be written as One hundred six million, seven hundred forty-nine thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.06749144 × 108
Factors of 106749144
Divisors of 106749144
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 27 36 37 38 54 57 72 74 76 108 111 114 148 152 171 216 222 228 296 333 342 361 444 456 513 666 684 703 722 888 999 1026 1083 1332 1368 1369 1406 1444 1998 2052 2109 2166 2664 2738 2812 2888 3249 3996 4104 4107 4218 4332 5476 5624 6327 6498 7992 8214 8436 8664 9747 10952 12321 12654 12996 13357 16428 16872 18981 19494 24642 25308 25992 26011 26714 32856 36963 37962 38988 40071 49284 50616 52022 53428 73926 75924 77976 78033 80142 98568 104044 106856 120213 147852 151848 156066 160284 208088 234099 240426 295704 312132 320568 360639 468198 480852 494209 624264 702297 721278 936396 961704 988418 1404594 1442556 1482627 1872792 1976836 2809188 2885112 2965254 3953672 4447881 5618376 5930508 8895762 11861016 13343643 17791524 26687286 35583048 53374572 106749144
- Sum of all divisors σ(n): 321640200
- Sum of proper divisors (its aliquot sum) s(n): 214891056
- 106749144 is an abundant number, because the sum of its proper divisors (214891056) is greater than itself. Its abundance is 108141912
Bases of 106749144
- Binary: 1100101110011011100110110002
- Hexadecimal: 0x65CDCD8
- Base-36: 1RK060
Squares and roots of 106749144
- 106749144 squared (1067491442) is 11395379744732736
- 106749144 cubed (1067491443) is 1216447033305158076777984
-
The
square root of 106749144 is 10331.9477350595 -
The
cube root of 106749144 is 474.3746437217
Scales and comparisons
How big is 106749144?- 106,749,144 seconds is equal to 3 years, 20 weeks, 3 days, 12 hours, 32 minutes, 24 seconds.
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To count from 1 to 106,749,144 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 106749144 cubic inches would be around 39.5 feet tall.
Recreational maths with 106749144
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