42648320
42,648,320 is an even composite number composed of five prime numbers multiplied together.
42648320 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 42648320:
28 × 5 × 11 × 13 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 233)See below for interesting mathematical facts about the number 42648320 from the Numbermatics database.
Names of 42648320
- Cardinal: 42648320 can be written as Forty-two million, six hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.264832 × 107
Factors of 42648320
Divisors of 42648320
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 233 256 260 286 320 352 416 440 466 520 572 640 704 715 832 880 932 1040 1144 1165 1280 1408 1430 1664 1760 1864 2080 2288 2330 2563 2816 2860 3029 3328 3520 3728 4160 4576 4660 5126 5720 6058 7040 7456 8320 9152 9320 10252 11440 12116 12815 14080 14912 15145 16640 18304 18640 20504 22880 24232 25630 29824 30290 33319 36608 37280 41008 45760 48464 51260 59648 60580 66638 74560 82016 91520 96928 102520 121160 133276 149120 164032 166595 183040 193856 205040 242320 266552 298240 328064 333190 387712 410080 484640 533104 656128 666380 775424 820160 969280 1066208 1332760 1640320 1938560 2132416 2665520 3280640 3877120 4264832 5331040 8529664 10662080 21324160 42648320
- Sum of all divisors σ(n): 120530592
- Sum of proper divisors (its aliquot sum) s(n): 77882272
- 42648320 is an abundant number, because the sum of its proper divisors (77882272) is greater than itself. Its abundance is 35233952
Bases of 42648320
- Binary: 101000101011000011000000002
- Hexadecimal: 0x28AC300
- Base-36: PE3NK
Squares and roots of 42648320
- 42648320 squared (426483202) is 1818879198822400
- 42648320 cubed (426483203) is 77572142112721338368000
-
The
square root of 42648320 is 6530.5681222999 -
The
cube root of 42648320 is 349.3820934339
Scales and comparisons
How big is 42648320?- 42,648,320 seconds is equal to 1 year, 18 weeks, 3 days, 14 hours, 45 minutes, 20 seconds.
-
To count from 1 to 42,648,320 would take you about 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 42648320 cubic inches would be around 29.1 feet tall.
Recreational maths with 42648320
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