48168120
48,168,120 is an even composite number composed of seven prime numbers multiplied together.
48168120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 48168120:
23 × 3 × 5 × 7 × 11 × 13 × 401
(2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 401)See below for interesting mathematical facts about the number 48168120 from the Numbermatics database.
Names of 48168120
- Cardinal: 48168120 can be written as Forty-eight million, one hundred sixty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.816812 × 107
Factors of 48168120
Divisors of 48168120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 20 21 22 24 26 28 30 33 35 39 40 42 44 52 55 56 60 65 66 70 77 78 84 88 91 104 105 110 120 130 132 140 143 154 156 165 168 182 195 210 220 231 260 264 273 280 286 308 312 330 364 385 390 401 420 429 440 455 462 520 546 572 616 660 715 728 770 780 802 840 858 910 924 1001 1092 1144 1155 1203 1320 1365 1430 1540 1560 1604 1716 1820 1848 2002 2005 2145 2184 2310 2406 2730 2807 2860 3003 3080 3208 3432 3640 4004 4010 4290 4411 4620 4812 5005 5213 5460 5614 5720 6006 6015 8008 8020 8421 8580 8822 9240 9624 10010 10426 10920 11228 12012 12030 13233 14035 15015 15639 16040 16842 17160 17644 20020 20852 22055 22456 24024 24060 26065 26466 28070 30030 30877 31278 33684 35288 36491 40040 41704 42105 44110 48120 52130 52932 56140 57343 60060 61754 62556 66165 67368 72982 78195 84210 88220 92631 104260 105864 109473 112280 114686 120120 123508 125112 132330 145964 154385 156390 168420 172029 176440 182455 185262 208520 218946 229372 247016 264660 286715 291928 308770 312780 336840 344058 364910 370524 401401 437892 458744 463155 529320 547365 573430 617540 625560 688116 729820 741048 802802 860145 875784 926310 1094730 1146860 1204203 1235080 1376232 1459640 1605604 1720290 1852620 2007005 2189460 2293720 2408406 3211208 3440580 3705240 4014010 4378920 4816812 6021015 6881160 8028020 9633624 12042030 16056040 24084060 48168120
- Sum of all divisors σ(n): 194503680
- Sum of proper divisors (its aliquot sum) s(n): 146335560
- 48168120 is an abundant number, because the sum of its proper divisors (146335560) is greater than itself. Its abundance is 98167440
Bases of 48168120
- Binary: 101101111011111100101110002
- Hexadecimal: 0x2DEFCB8
- Base-36: SOERC
Squares and roots of 48168120
- 48168120 squared (481681202) is 2320167784334400
- 48168120 cubed (481681203) is 111758120255953499328000
-
The
square root of 48168120 is 6940.3256407749 -
The
cube root of 48168120 is 363.8479218191
Scales and comparisons
How big is 48168120?- 48,168,120 seconds is equal to 1 year, 27 weeks, 4 days, 12 hours, 2 minutes.
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To count from 1 to 48,168,120 would take you about two 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 48168120 cubic inches would be around 30.3 feet tall.
Recreational maths with 48168120
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The information we have on file for 48168120 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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