468490220
468,490,220 is an even composite number composed of six prime numbers multiplied together.
468490220 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 468490220:
22 × 5 × 112 × 19 × 23 × 443
(2 × 2 × 5 × 11 × 11 × 19 × 23 × 443)See below for interesting mathematical facts about the number 468490220 from the Numbermatics database.
Names of 468490220
- Cardinal: 468490220 can be written as Four hundred sixty-eight million, four hundred ninety thousand, two hundred twenty.
Scientific notation
- Scientific notation: 4.6849022 × 108
Factors of 468490220
Divisors of 468490220
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 121 190 209 220 230 242 253 380 418 437 443 460 484 506 605 836 874 886 1012 1045 1210 1265 1748 1772 2090 2185 2215 2299 2420 2530 2783 4180 4370 4430 4598 4807 4873 5060 5566 8417 8740 8860 9196 9614 9746 10189 11132 11495 13915 16834 19228 19492 20378 22990 24035 24365 27830 33668 40756 42085 45980 48070 48730 50945 52877 53603 55660 84170 92587 96140 97460 101890 105754 107206 112079 168340 185174 193591 203780 211508 214412 224158 264385 268015 370348 387182 448316 462935 528770 536030 560395 774364 925870 967955 1018457 1057540 1072060 1120790 1232869 1851740 1935910 2036914 2129501 2241580 2465738 3871820 4073828 4259002 4931476 5092285 6164345 8518004 10184570 10647505 12328690 20369140 21295010 23424511 24657380 42590020 46849022 93698044 117122555 234245110 468490220
- Sum of all divisors σ(n): 1190488320
- Sum of proper divisors (its aliquot sum) s(n): 721998100
- 468490220 is an abundant number, because the sum of its proper divisors (721998100) is greater than itself. Its abundance is 253507880
Bases of 468490220
- Binary: 110111110110010010111111011002
- Hexadecimal: 0x1BEC97EC
- Base-36: 7QXDD8
Squares and roots of 468490220
- 468490220 squared (4684902202) is 219483086235648400
- 468490220 cubed (4684902203) is 102825679356817890758648000
-
The
square root of 468490220 is 21644.6349010557 -
The
cube root of 468490220 is 776.6645983069
Scales and comparisons
How big is 468490220?- 468,490,220 seconds is equal to 14 years, 46 weeks, 4 days, 8 hours, 10 minutes, 20 seconds.
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To count from 1 to 468,490,220 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 468490220 cubic inches would be around 64.7 feet tall.
Recreational maths with 468490220
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