42144960
42,144,960 is an even composite number composed of six prime numbers multiplied together.
42144960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 42144960:
26 × 3 × 5 × 11 × 13 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 307)See below for interesting mathematical facts about the number 42144960 from the Numbermatics database.
Names of 42144960
- Cardinal: 42144960 can be written as Forty-two million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.214496 × 107
Factors of 42144960
Divisors of 42144960
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 104 110 120 130 132 143 156 160 165 176 192 195 208 220 240 260 264 286 307 312 320 330 352 390 416 429 440 480 520 528 572 614 624 660 704 715 780 832 858 880 921 960 1040 1056 1144 1228 1248 1320 1430 1535 1560 1716 1760 1842 2080 2112 2145 2288 2456 2496 2640 2860 3070 3120 3377 3432 3520 3684 3991 4160 4290 4576 4605 4912 5280 5720 6140 6240 6754 6864 7368 7982 8580 9152 9210 9824 10131 10560 11440 11973 12280 12480 13508 13728 14736 15964 16885 17160 18420 19648 19955 20262 22880 23946 24560 27016 27456 29472 31928 33770 34320 36840 39910 40524 43901 45760 47892 49120 50655 54032 58944 59865 63856 67540 68640 73680 79820 81048 87802 95784 98240 101310 108064 119730 127712 131703 135080 137280 147360 159640 162096 175604 191568 202620 216128 219505 239460 255424 263406 270160 294720 319280 324192 351208 383136 405240 439010 478920 526812 540320 638560 648384 658515 702416 766272 810480 878020 957840 1053624 1080640 1277120 1317030 1404832 1620960 1756040 1915680 2107248 2634060 2809664 3241920 3512080 3831360 4214496 5268120 7024160 8428992 10536240 14048320 21072480 42144960
- Sum of all divisors σ(n): 157715712
- Sum of proper divisors (its aliquot sum) s(n): 115570752
- 42144960 is an abundant number, because the sum of its proper divisors (115570752) is greater than itself. Its abundance is 73425792
Bases of 42144960
- Binary: 101000001100010100110000002
- Hexadecimal: 0x28314C0
- Base-36: P3B9C
Squares and roots of 42144960
- 42144960 squared (421449602) is 1776197653401600
- 42144960 cubed (421449603) is 74857779054704295936000
-
The
square root of 42144960 is 6491.9149717169 -
The
cube root of 42144960 is 348.0021138727
Scales and comparisons
How big is 42144960?- 42,144,960 seconds is equal to 1 year, 17 weeks, 4 days, 18 hours, 56 minutes.
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To count from 1 to 42,144,960 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 42144960 cubic inches would be around 29 feet tall.
Recreational maths with 42144960
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