480135680
480,135,680 is an even composite number composed of four prime numbers multiplied together.
480135680 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 480135680:
29 × 5 × 372 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 37 × 37 × 137)See below for interesting mathematical facts about the number 480135680 from the Numbermatics database.
Names of 480135680
- Cardinal: 480135680 can be written as Four hundred eighty million, one hundred thirty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.8013568 × 108
Factors of 480135680
Divisors of 480135680
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 137 148 160 185 256 274 296 320 370 512 548 592 640 685 740 1096 1184 1280 1369 1370 1480 2192 2368 2560 2738 2740 2960 4384 4736 5069 5476 5480 5920 6845 8768 9472 10138 10952 10960 11840 13690 17536 18944 20276 21904 21920 23680 25345 27380 35072 40552 43808 43840 47360 50690 54760 70144 81104 87616 87680 94720 101380 109520 162208 175232 175360 187553 202760 219040 324416 350464 350720 375106 405520 438080 648832 700928 750212 811040 876160 937765 1297664 1500424 1622080 1752320 1875530 2595328 3000848 3244160 3504640 3751060 6001696 6488320 7502120 12003392 12976640 15004240 24006784 30008480 48013568 60016960 96027136 120033920 240067840 480135680
- Sum of all divisors σ(n): 1191790908
- Sum of proper divisors (its aliquot sum) s(n): 711655228
- 480135680 is an abundant number, because the sum of its proper divisors (711655228) is greater than itself. Its abundance is 231519548
Bases of 480135680
- Binary: 111001001111001001010000000002
- Hexadecimal: 0x1C9E4A00
- Base-36: 7XUZ28
Squares and roots of 480135680
- 480135680 squared (4801356802) is 230530271209062400
- 480135680 cubed (4801356803) is 110685808527547597586432000
-
The
square root of 480135680 is 21911.9985396129 -
The
cube root of 480135680 is 783.0472947895
Scales and comparisons
How big is 480135680?- 480,135,680 seconds is equal to 15 years, 13 weeks, 6 days, 3 hours, 1 minute, 20 seconds.
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To count from 1 to 480,135,680 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 480135680 cubic inches would be around 65.3 feet tall.
Recreational maths with 480135680
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