104346144
104,346,144 is an even composite number composed of four prime numbers multiplied together.
104346144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 104346144:
25 × 38 × 7 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 71)See below for interesting mathematical facts about the number 104346144 from the Numbermatics database.
Names of 104346144
- Cardinal: 104346144 can be written as One hundred four million, three hundred forty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.04346144 × 108
Factors of 104346144
Divisors of 104346144
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 71 72 81 84 96 108 112 126 142 144 162 168 189 213 216 224 243 252 284 288 324 336 378 426 432 486 497 504 567 568 639 648 672 729 756 852 864 972 994 1008 1134 1136 1278 1296 1458 1491 1512 1701 1704 1917 1944 1988 2016 2187 2268 2272 2556 2592 2916 2982 3024 3402 3408 3834 3888 3976 4374 4473 4536 5103 5112 5751 5832 5964 6048 6561 6804 6816 7668 7776 7952 8748 8946 9072 10206 10224 11502 11664 11928 13122 13419 13608 15309 15336 15904 17253 17496 17892 18144 20412 20448 23004 23328 23856 26244 26838 27216 30618 30672 34506 34992 35784 40257 40824 45927 46008 47712 51759 52488 53676 54432 61236 61344 69012 69984 71568 80514 81648 91854 92016 103518 104976 107352 120771 122472 138024 143136 155277 161028 163296 183708 184032 207036 209952 214704 241542 244944 276048 310554 322056 362313 367416 414072 429408 465831 483084 489888 552096 621108 644112 724626 734832 828144 931662 966168 1086939 1242216 1288224 1449252 1469664 1656288 1863324 1932336 2173878 2484432 2898504 3260817 3726648 3864672 4347756 4968864 5797008 6521634 7453296 8695512 11594016 13043268 14906592 17391024 26086536 34782048 52173072 104346144
- Sum of all divisors σ(n): 357110208
- Sum of proper divisors (its aliquot sum) s(n): 252764064
- 104346144 is an abundant number, because the sum of its proper divisors (252764064) is greater than itself. Its abundance is 148417920
Bases of 104346144
- Binary: 1100011100000110010001000002
- Hexadecimal: 0x6383220
- Base-36: 1Q4I00
Squares and roots of 104346144
- 104346144 squared (1043461442) is 10888117767668736
- 104346144 cubed (1043461443) is 1136133104474120470953984
-
The
square root of 104346144 is 10214.9960352415 -
The
cube root of 104346144 is 470.7880908067
Scales and comparisons
How big is 104346144?- 104,346,144 seconds is equal to 3 years, 16 weeks, 3 days, 17 hours, 2 minutes, 24 seconds.
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To count from 1 to 104,346,144 would take you about four 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 104346144 cubic inches would be around 39.2 feet tall.
Recreational maths with 104346144
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