448029140
448,029,140 is an even composite number composed of six prime numbers multiplied together.
448029140 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 448029140:
22 × 5 × 132 × 41 × 53 × 61
(2 × 2 × 5 × 13 × 13 × 41 × 53 × 61)See below for interesting mathematical facts about the number 448029140 from the Numbermatics database.
Names of 448029140
- Cardinal: 448029140 can be written as Four hundred forty-eight million, twenty-nine thousand, one hundred forty.
Scientific notation
- Scientific notation: 4.4802914 × 108
Factors of 448029140
Divisors of 448029140
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 10 13 20 26 41 52 53 61 65 82 106 122 130 164 169 205 212 244 260 265 305 338 410 530 533 610 676 689 793 820 845 1060 1066 1220 1378 1586 1690 2132 2173 2501 2665 2756 3172 3233 3380 3445 3965 4346 5002 5330 6466 6890 6929 7930 8692 8957 10004 10309 10660 10865 12505 12932 13780 13858 15860 16165 17914 20618 21730 25010 27716 28249 32330 32513 34645 35828 41236 42029 43460 44785 50020 51545 56498 64660 65026 69290 84058 89570 103090 112996 130052 132553 138580 141245 162565 168116 179140 206180 210145 265106 282490 325130 367237 420290 422669 530212 546377 564980 650260 662765 734474 840580 845338 1092754 1325530 1468948 1690676 1723189 1836185 2113345 2185508 2651060 2731885 3446378 3672370 4226690 5463770 6892756 7344740 8453380 8615945 10927540 17231890 22401457 34463780 44802914 89605828 112007285 224014570 448029140
- Sum of all divisors σ(n): 1080774576
- Sum of proper divisors (its aliquot sum) s(n): 632745436
- 448029140 is an abundant number, because the sum of its proper divisors (632745436) is greater than itself. Its abundance is 184716296
Bases of 448029140
- Binary: 110101011010001100001110101002
- Hexadecimal: 0x1AB461D4
- Base-36: 7EQTHW
Squares and roots of 448029140
- 448029140 squared (4480291402) is 200730110289139600
- 448029140 cubed (4480291403) is 89932938684948366327944000
-
The
square root of 448029140 is 21166.6988451199 -
The
cube root of 448029140 is 765.1890628727
Scales and comparisons
How big is 448029140?- 448,029,140 seconds is equal to 14 years, 12 weeks, 5 days, 12 hours, 32 minutes, 20 seconds.
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To count from 1 to 448,029,140 would take you about twenty-one 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 448029140 cubic inches would be around 63.8 feet tall.
Recreational maths with 448029140
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