472290420
472,290,420 is an even composite number composed of six prime numbers multiplied together.
What does the number 472290420 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
472290420 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 472290420:
22 × 3 × 5 × 73 × 53 × 433
(2 × 2 × 3 × 5 × 7 × 7 × 7 × 53 × 433)See below for interesting mathematical facts about the number 472290420 from the Numbermatics database.
Names of 472290420
- Cardinal: 472290420 can be written as Four hundred seventy-two million, two hundred ninety thousand, four hundred twenty.
Scientific notation
- Scientific notation: 4.7229042 × 108
Factors of 472290420
Divisors of 472290420
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 53 60 70 84 98 105 106 140 147 159 196 210 212 245 265 294 318 343 371 420 433 490 530 588 636 686 735 742 795 866 980 1029 1060 1113 1299 1372 1470 1484 1590 1715 1732 1855 2058 2165 2226 2597 2598 2940 3031 3180 3430 3710 4116 4330 4452 5145 5194 5196 5565 6062 6495 6860 7420 7791 8660 9093 10290 10388 11130 12124 12985 12990 15155 15582 18179 18186 20580 21217 22260 22949 25970 25980 30310 31164 36358 36372 38955 42434 45465 45898 51940 54537 60620 63651 68847 72716 77910 84868 90895 90930 91796 106085 109074 114745 127302 137694 148519 155820 160643 181790 181860 212170 218148 229490 254604 272685 275388 297038 318255 321286 344235 363580 424340 445557 458980 481929 545370 594076 636510 642572 688470 742595 803215 891114 963858 1090740 1124501 1273020 1376940 1485190 1606430 1782228 1927716 2227785 2249002 2409645 2970380 3212860 3373503 4455570 4498004 4819290 5622505 6747006 7871507 8911140 9638580 11245010 13494012 15743014 16867515 22490020 23614521 31486028 33735030 39357535 47229042 67470060 78715070 94458084 118072605 157430140 236145210 472290420
- Sum of all divisors σ(n): 1574899200
- Sum of proper divisors (its aliquot sum) s(n): 1102608780
- 472290420 is an abundant number, because the sum of its proper divisors (1102608780) is greater than itself. Its abundance is 630318360
Bases of 472290420
- Binary: 111000010011010010100011101002
- Hexadecimal: 0x1C269474
- Base-36: 7T6TMC
Squares and roots of 472290420
- 472290420 squared (4722904202) is 223058240823776400
- 472290420 cubed (4722904203) is 105348270243122501942088000
-
The
square root of 472290420 is 21732.2437865951 -
The
cube root of 472290420 is 778.7589402669
Scales and comparisons
How big is 472290420?- 472,290,420 seconds is equal to 15 years, 6 days, 7 hours, 47 minutes.
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To count from 1 to 472,290,420 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 472290420 cubic inches would be around 64.9 feet tall.
Recreational maths with 472290420
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