480481120
480,481,120 is an even composite number composed of six prime numbers multiplied together.
480481120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 480481120:
25 × 5 × 7 × 19 × 67 × 337
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 19 × 67 × 337)See below for interesting mathematical facts about the number 480481120 from the Numbermatics database.
Names of 480481120
- Cardinal: 480481120 can be written as Four hundred eighty million, four hundred eighty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.8048112 × 108
Factors of 480481120
Divisors of 480481120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 67 70 76 80 95 112 133 134 140 152 160 190 224 266 268 280 304 335 337 380 469 532 536 560 608 665 670 674 760 938 1064 1072 1120 1273 1330 1340 1348 1520 1685 1876 2128 2144 2345 2359 2546 2660 2680 2696 3040 3370 3752 4256 4690 4718 5092 5320 5360 5392 6365 6403 6740 7504 8911 9380 9436 10184 10640 10720 10784 11795 12730 12806 13480 15008 17822 18760 18872 20368 21280 22579 23590 25460 25612 26960 32015 35644 37520 37744 40736 44555 44821 45158 47180 50920 51224 53920 64030 71288 75040 75488 89110 89642 90316 94360 101840 102448 112895 128060 142576 158053 178220 179284 180632 188720 203680 204896 224105 225790 256120 285152 316106 356440 358568 361264 377440 429001 448210 451580 512240 632212 712880 717136 722528 790265 858002 896420 903160 1024480 1264424 1425760 1434272 1580530 1716004 1792840 1806320 2145005 2528848 3003007 3161060 3432008 3585680 3612640 4290010 5057696 6006014 6322120 6864016 7171360 8580020 12012028 12644240 13728032 15015035 17160040 24024056 25288480 30030070 34320080 48048112 60060140 68640160 96096224 120120280 240240560 480481120
- Sum of all divisors σ(n): 1390072320
- Sum of proper divisors (its aliquot sum) s(n): 909591200
- 480481120 is an abundant number, because the sum of its proper divisors (909591200) is greater than itself. Its abundance is 429110080
Bases of 480481120
- Binary: 111001010001110001111011000002
- Hexadecimal: 0x1CA38F60
- Base-36: 7Y2DLS
Squares and roots of 480481120
- 480481120 squared (4804811202) is 230862106676454400
- 480481120 cubed (4804811203) is 110924883581462287740928000
-
The
square root of 480481120 is 21919.8795617129 -
The
cube root of 480481120 is 783.2350410343
Scales and comparisons
How big is 480481120?- 480,481,120 seconds is equal to 15 years, 14 weeks, 3 days, 2 hours, 58 minutes, 40 seconds.
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To count from 1 to 480,481,120 would take you about twenty-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 480481120 cubic inches would be around 65.3 feet tall.
Recreational maths with 480481120
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