468920832
468,920,832 is an even composite number composed of four prime numbers multiplied together.
468920832 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 468920832:
29 × 3 × 372 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 37 × 37 × 223)See below for interesting mathematical facts about the number 468920832 from the Numbermatics database.
Names of 468920832
- Cardinal: 468920832 can be written as Four hundred sixty-eight million, nine hundred twenty thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 4.68920832 × 108
Factors of 468920832
Divisors of 468920832
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 223 256 296 384 444 446 512 592 669 768 888 892 1184 1338 1369 1536 1776 1784 2368 2676 2738 3552 3568 4107 4736 5352 5476 7104 7136 8214 8251 9472 10704 10952 14208 14272 16428 16502 18944 21408 21904 24753 28416 28544 32856 33004 42816 43808 49506 56832 57088 65712 66008 85632 87616 99012 114176 131424 132016 171264 175232 198024 262848 264032 305287 342528 350464 396048 525696 528064 610574 700928 792096 915861 1051392 1056128 1221148 1584192 1831722 2102784 2112256 2442296 3168384 3663444 4224512 4884592 6336768 7326888 9769184 12673536 14653776 19538368 29307552 39076736 58615104 78153472 117230208 156306944 234460416 468920832
- Sum of all divisors σ(n): 1289667456
- Sum of proper divisors (its aliquot sum) s(n): 820746624
- 468920832 is an abundant number, because the sum of its proper divisors (820746624) is greater than itself. Its abundance is 351825792
Bases of 468920832
- Binary: 110111111001100101010000000002
- Hexadecimal: 0x1BF32A00
- Base-36: 7R6LMO
Squares and roots of 468920832
- 468920832 squared (4689208322) is 219886746683572224
- 468920832 cubed (4689208323) is 103109476200633928010170368
-
The
square root of 468920832 is 21654.5799312755 -
The
cube root of 468920832 is 776.9024820923
Scales and comparisons
How big is 468920832?- 468,920,832 seconds is equal to 14 years, 47 weeks, 2 days, 7 hours, 47 minutes, 12 seconds.
-
To count from 1 to 468,920,832 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 468920832 cubic inches would be around 64.7 feet tall.
Recreational maths with 468920832
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