42225120
42,225,120 is an even composite number composed of six prime numbers multiplied together.
42225120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42225120:
25 × 32 × 5 × 7 × 59 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 59 × 71)See below for interesting mathematical facts about the number 42225120 from the Numbermatics database.
Names of 42225120
- Cardinal: 42225120 can be written as Forty-two million, two hundred twenty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.222512 × 107
Factors of 42225120
Divisors of 42225120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 59 60 63 70 71 72 80 84 90 96 105 112 118 120 126 140 142 144 160 168 177 180 210 213 224 236 240 252 280 284 288 295 315 336 354 355 360 413 420 426 472 480 497 504 531 560 568 590 630 639 672 708 710 720 826 840 852 885 944 994 1008 1062 1065 1120 1136 1180 1239 1260 1278 1416 1420 1440 1491 1652 1680 1704 1770 1888 1988 2016 2065 2124 2130 2272 2360 2478 2485 2520 2556 2655 2832 2840 2982 3195 3304 3360 3408 3540 3717 3976 4130 4189 4248 4260 4473 4720 4956 4970 5040 5112 5310 5664 5680 5964 6195 6390 6608 6816 7080 7434 7455 7952 8260 8378 8496 8520 8946 9440 9912 9940 10080 10224 10620 11360 11928 12390 12567 12780 13216 14160 14868 14910 15904 16520 16756 16992 17040 17892 18585 19824 19880 20448 20945 21240 22365 23856 24780 25134 25560 28320 29323 29736 29820 33040 33512 34080 35784 37170 37701 39648 39760 41890 42480 44730 47712 49560 50268 51120 58646 59472 59640 62835 66080 67024 71568 74340 75402 79520 83780 84960 87969 89460 99120 100536 102240 117292 118944 119280 125670 134048 143136 146615 148680 150804 167560 175938 178920 188505 198240 201072 234584 238560 251340 263907 293230 297360 301608 335120 351876 357840 377010 402144 439845 469168 502680 527814 586460 594720 603216 670240 703752 715680 754020 879690 938336 1005360 1055628 1172920 1206432 1319535 1407504 1508040 1759380 2010720 2111256 2345840 2639070 2815008 3016080 3518760 4222512 4691680 5278140 6032160 7037520 8445024 10556280 14075040 21112560 42225120
- Sum of all divisors σ(n): 169827840
- Sum of proper divisors (its aliquot sum) s(n): 127602720
- 42225120 is an abundant number, because the sum of its proper divisors (127602720) is greater than itself. Its abundance is 85377600
Bases of 42225120
- Binary: 101000010001001101111000002
- Hexadecimal: 0x2844DE0
- Base-36: P5140
Squares and roots of 42225120
- 42225120 squared (422251202) is 1782960759014400
- 42225120 cubed (422251203) is 75285732004674121728000
-
The
square root of 42225120 is 6498.0858720087 -
The
cube root of 42225120 is 348.2226082655
Scales and comparisons
How big is 42225120?- 42,225,120 seconds is equal to 1 year, 17 weeks, 5 days, 17 hours, 12 minutes.
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To count from 1 to 42,225,120 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 42225120 cubic inches would be around 29 feet tall.
Recreational maths with 42225120
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