468134480
468,134,480 is an even composite number composed of five prime numbers multiplied together.
468134480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 468134480:
24 × 5 × 112 × 137 × 353
(2 × 2 × 2 × 2 × 5 × 11 × 11 × 137 × 353)See below for interesting mathematical facts about the number 468134480 from the Numbermatics database.
Names of 468134480
- Cardinal: 468134480 can be written as Four hundred sixty-eight million, one hundred thirty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.6813448 × 108
Factors of 468134480
Divisors of 468134480
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 137 176 220 242 274 353 440 484 548 605 685 706 880 968 1096 1210 1370 1412 1507 1765 1936 2192 2420 2740 2824 3014 3530 3883 4840 5480 5648 6028 7060 7535 7766 9680 10960 12056 14120 15070 15532 16577 19415 24112 28240 30140 31064 33154 38830 42713 48361 60280 62128 66308 77660 82885 85426 96722 120560 132616 155320 165770 170852 193444 213565 241805 265232 310640 331540 341704 386888 427130 483610 531971 663080 683408 773776 854260 967220 1063942 1326160 1708520 1934440 2127884 2659855 3417040 3868880 4255768 5319710 5851681 8511536 10639420 11703362 21278840 23406724 29258405 42557680 46813448 58516810 93626896 117033620 234067240 468134480
- Sum of all divisors σ(n): 1208500776
- Sum of proper divisors (its aliquot sum) s(n): 740366296
- 468134480 is an abundant number, because the sum of its proper divisors (740366296) is greater than itself. Its abundance is 272231816
Bases of 468134480
- Binary: 110111110011100101010010100002
- Hexadecimal: 0x1BE72A50
- Base-36: 7QPQVK
Squares and roots of 468134480
- 468134480 squared (4681344802) is 219149891364870400
- 468134480 cubed (4681344803) is 102591620436150094971392000
-
The
square root of 468134480 is 21636.4155996321 -
The
cube root of 468134480 is 776.4679662221
Scales and comparisons
How big is 468134480?- 468,134,480 seconds is equal to 14 years, 46 weeks, 5 hours, 21 minutes, 20 seconds.
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To count from 1 to 468,134,480 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 468134480 cubic inches would be around 64.7 feet tall.
Recreational maths with 468134480
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