6441120
6,441,120 is an even composite number composed of five prime numbers multiplied together.
6441120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 6441120:
25 × 34 × 5 × 7 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 71)See below for interesting mathematical facts about the number 6441120 from the Numbermatics database.
Names of 6441120
- Cardinal: 6441120 can be written as Six million, four hundred forty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.44112 × 106
Factors of 6441120
Divisors of 6441120
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 71 72 80 81 84 90 96 105 108 112 120 126 135 140 142 144 160 162 168 180 189 210 213 216 224 240 252 270 280 284 288 315 324 336 355 360 378 405 420 426 432 480 497 504 540 560 567 568 630 639 648 672 710 720 756 810 840 852 864 945 994 1008 1065 1080 1120 1134 1136 1260 1278 1296 1420 1440 1491 1512 1620 1680 1704 1890 1917 1988 2016 2130 2160 2268 2272 2485 2520 2556 2592 2835 2840 2982 3024 3195 3240 3360 3408 3780 3834 3976 4260 4320 4473 4536 4970 5040 5112 5670 5680 5751 5964 6048 6390 6480 6816 7455 7560 7668 7952 8520 8946 9072 9585 9940 10080 10224 11340 11360 11502 11928 12780 12960 13419 14910 15120 15336 15904 17040 17892 18144 19170 19880 20448 22365 22680 23004 23856 25560 26838 28755 29820 30240 30672 34080 35784 38340 39760 40257 44730 45360 46008 47712 51120 53676 57510 59640 61344 67095 71568 76680 79520 80514 89460 90720 92016 102240 107352 115020 119280 134190 143136 153360 161028 178920 184032 201285 214704 230040 238560 268380 306720 322056 357840 402570 429408 460080 536760 644112 715680 805140 920160 1073520 1288224 1610280 2147040 3220560 6441120
- Sum of all divisors σ(n): 26345088
- Sum of proper divisors (its aliquot sum) s(n): 19903968
- 6441120 is an abundant number, because the sum of its proper divisors (19903968) is greater than itself. Its abundance is 13462848
Bases of 6441120
- Binary: 110001001001000101000002
- Hexadecimal: 0x6248A0
- Base-36: 3U200
Squares and roots of 6441120
- 6441120 squared (64411202) is 41488026854400
- 6441120 cubed (64411203) is 267229359532412928000
-
The
square root of 6441120 is 2537.9361694101 -
The
cube root of 6441120 is 186.0603342249
Scales and comparisons
How big is 6441120?- 6,441,120 seconds is equal to 10 weeks, 4 days, 13 hours, 12 minutes.
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To count from 1 to 6,441,120 would take you about fifteen weeks!
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 6441120 cubic inches would be around 15.5 feet tall.
Recreational maths with 6441120
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The information we have on file for 6441120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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