414428000
414,428,000 is an even composite number composed of five prime numbers multiplied together.
414428000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 414428000:
25 × 53 × 7 × 192 × 41
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 19 × 19 × 41)See below for interesting mathematical facts about the number 414428000 from the Numbermatics database.
Names of 414428000
- Cardinal: 414428000 can be written as Four hundred fourteen million, four hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.14428 × 108
Factors of 414428000
Divisors of 414428000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 41 50 56 70 76 80 82 95 100 112 125 133 140 152 160 164 175 190 200 205 224 250 266 280 287 304 328 350 361 380 400 410 475 500 532 560 574 608 656 665 700 722 760 779 800 820 875 950 1000 1025 1064 1120 1148 1312 1330 1400 1435 1444 1520 1558 1640 1750 1805 1900 2000 2050 2128 2296 2375 2527 2660 2800 2870 2888 3040 3116 3280 3325 3500 3610 3800 3895 4000 4100 4256 4592 4750 5054 5125 5320 5453 5600 5740 5776 6232 6560 6650 7000 7175 7220 7600 7790 8200 9025 9184 9500 10108 10250 10640 10906 11480 11552 12464 12635 13300 14000 14350 14440 14801 15200 15580 16400 16625 18050 19000 19475 20216 20500 21280 21812 22960 24928 25270 26600 27265 28000 28700 28880 29602 31160 32800 33250 35875 36100 38000 38950 40432 41000 43624 45125 45920 50540 53200 54530 57400 57760 59204 62320 63175 66500 71750 72200 74005 76000 77900 80864 82000 87248 90250 97375 101080 103607 106400 109060 114800 118408 124640 126350 133000 136325 143500 144400 148010 155800 164000 174496 180500 194750 202160 207214 218120 229600 236816 252700 266000 272650 287000 288800 296020 311600 315875 361000 370025 389500 404320 414428 436240 473632 505400 518035 532000 545300 574000 592040 623200 631750 681625 722000 740050 779000 828856 872480 1010800 1036070 1090600 1148000 1184080 1263500 1363250 1444000 1480100 1558000 1657712 1850125 2021600 2072140 2181200 2368160 2527000 2590175 2726500 2960200 3116000 3315424 3700250 4144280 4362400 5054000 5180350 5453000 5920400 7400500 8288560 10108000 10360700 10906000 11840800 12950875 14801000 16577120 20721400 21812000 25901750 29602000 41442800 51803500 59204000 82885600 103607000 207214000 414428000
- Sum of all divisors σ(n): 1258141248
- Sum of proper divisors (its aliquot sum) s(n): 843713248
- 414428000 is an abundant number, because the sum of its proper divisors (843713248) is greater than itself. Its abundance is 429285248
Bases of 414428000
- Binary: 110001011001110101011011000002
- Hexadecimal: 0x18B3AB60
- Base-36: 6UQMOW
Squares and roots of 414428000
- 414428000 squared (4144280002) is 171750567184000000
- 414428000 cubed (4144280003) is 71178244056930752000000000
-
The
square root of 414428000 is 20357.5047586879 -
The
cube root of 414428000 is 745.5607387517
Scales and comparisons
How big is 414428000?- 414,428,000 seconds is equal to 13 years, 9 weeks, 1 day, 14 hours, 53 minutes, 20 seconds.
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To count from 1 to 414,428,000 would take you about nineteen 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 414428000 cubic inches would be around 62.1 feet tall.
Recreational maths with 414428000
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