42742400
42,742,400 is an even composite number composed of four prime numbers multiplied together.
42742400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42742400:
27 × 52 × 192 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 19 × 37)See below for interesting mathematical facts about the number 42742400 from the Numbermatics database.
Names of 42742400
- Cardinal: 42742400 can be written as Forty-two million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.27424 × 107
Factors of 42742400
Divisors of 42742400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 37 38 40 50 64 74 76 80 95 100 128 148 152 160 185 190 200 296 304 320 361 370 380 400 475 592 608 640 703 722 740 760 800 925 950 1184 1216 1406 1444 1480 1520 1600 1805 1850 1900 2368 2432 2812 2888 2960 3040 3200 3515 3610 3700 3800 4736 5624 5776 5920 6080 7030 7220 7400 7600 9025 11248 11552 11840 12160 13357 14060 14440 14800 15200 17575 18050 22496 23104 23680 26714 28120 28880 29600 30400 35150 36100 44992 46208 53428 56240 57760 59200 60800 66785 70300 72200 89984 106856 112480 115520 118400 133570 140600 144400 213712 224960 231040 267140 281200 288800 333925 427424 449920 534280 562400 577600 667850 854848 1068560 1124800 1155200 1335700 1709696 2137120 2249600 2671400 4274240 5342800 8548480 10685600 21371200 42742400
- Sum of all divisors σ(n): 114448590
- Sum of proper divisors (its aliquot sum) s(n): 71706190
- 42742400 is an abundant number, because the sum of its proper divisors (71706190) is greater than itself. Its abundance is 28963790
Bases of 42742400
- Binary: 101000110000110010100000002
- Hexadecimal: 0x28C3280
- Base-36: PG48W
Squares and roots of 42742400
- 42742400 squared (427424002) is 1826912757760000
- 42742400 cubed (427424003) is 78086635857281024000000
-
The
square root of 42742400 is 6537.7672029523 -
The
cube root of 42742400 is 349.6388110661
Scales and comparisons
How big is 42742400?- 42,742,400 seconds is equal to 1 year, 18 weeks, 4 days, 16 hours, 53 minutes, 20 seconds.
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To count from 1 to 42,742,400 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 42742400 cubic inches would be around 29.1 feet tall.
Recreational maths with 42742400
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The information we have on file for 42742400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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