468231400
468,231,400 is an even composite number composed of five prime numbers multiplied together.
468231400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 468231400:
23 × 52 × 7 × 132 × 1979
(2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 1979)See below for interesting mathematical facts about the number 468231400 from the Numbermatics database.
Names of 468231400
- Cardinal: 468231400 can be written as Four hundred sixty-eight million, two hundred thirty-one thousand, four hundred.
Scientific notation
- Scientific notation: 4.682314 × 108
Factors of 468231400
Divisors of 468231400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 169 175 182 200 260 280 325 338 350 364 455 520 650 676 700 728 845 910 1183 1300 1352 1400 1690 1820 1979 2275 2366 2600 3380 3640 3958 4225 4550 4732 5915 6760 7916 8450 9100 9464 9895 11830 13853 15832 16900 18200 19790 23660 25727 27706 29575 33800 39580 47320 49475 51454 55412 59150 69265 79160 98950 102908 110824 118300 128635 138530 180089 197900 205816 236600 257270 277060 334451 346325 360178 395800 514540 554120 643175 668902 692650 720356 900445 1029080 1286350 1337804 1385300 1440712 1672255 1800890 2341157 2572700 2675608 2770600 3344510 3601780 4502225 4682314 5145400 6689020 7203560 8361275 9004450 9364628 11705785 13378040 16722550 18008900 18729256 23411570 33445100 36017800 46823140 58528925 66890200 93646280 117057850 234115700 468231400
- Sum of all divisors σ(n): 1347904800
- Sum of proper divisors (its aliquot sum) s(n): 879673400
- 468231400 is an abundant number, because the sum of its proper divisors (879673400) is greater than itself. Its abundance is 411442000
Bases of 468231400
- Binary: 110111110100010100100111010002
- Hexadecimal: 0x1BE8A4E8
- Base-36: 7QRTNS
Squares and roots of 468231400
- 468231400 squared (4682314002) is 219240643945960000
- 468231400 cubed (4682314003) is 102655353651718375144000000
-
The
square root of 468231400 is 21638.6552262383 -
The
cube root of 468231400 is 776.5215477503
Scales and comparisons
How big is 468231400?- 468,231,400 seconds is equal to 14 years, 46 weeks, 1 day, 8 hours, 16 minutes, 40 seconds.
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To count from 1 to 468,231,400 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 468231400 cubic inches would be around 64.7 feet tall.
Recreational maths with 468231400
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