42128640
42,128,640 is an even composite number composed of five prime numbers multiplied together.
42128640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42128640:
28 × 33 × 5 × 23 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 53)See below for interesting mathematical facts about the number 42128640 from the Numbermatics database.
Names of 42128640
- Cardinal: 42128640 can be written as Forty-two million, one hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.212864 × 107
Factors of 42128640
Divisors of 42128640
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 53 54 60 64 69 72 80 90 92 96 106 108 115 120 128 135 138 144 159 160 180 184 192 207 212 216 230 240 256 265 270 276 288 318 320 345 360 368 384 414 424 432 460 477 480 530 540 552 576 621 636 640 690 720 736 768 795 828 848 864 920 954 960 1035 1060 1080 1104 1152 1219 1242 1272 1280 1380 1431 1440 1472 1590 1656 1696 1728 1840 1908 1920 2070 2120 2160 2208 2304 2385 2438 2484 2544 2760 2862 2880 2944 3105 3180 3312 3392 3456 3657 3680 3816 3840 4140 4240 4320 4416 4770 4876 4968 5088 5520 5724 5760 5888 6095 6210 6360 6624 6784 6912 7155 7314 7360 7632 8280 8480 8640 8832 9540 9752 9936 10176 10971 11040 11448 11520 12190 12420 12720 13248 13568 14310 14628 14720 15264 16560 16960 17280 17664 18285 19080 19504 19872 20352 21942 22080 22896 24380 24840 25440 26496 28620 29256 29440 30528 32913 33120 33920 34560 36570 38160 39008 39744 40704 43884 44160 45792 48760 49680 50880 52992 54855 57240 58512 61056 65826 66240 67840 73140 76320 78016 79488 87768 88320 91584 97520 99360 101760 109710 114480 117024 122112 131652 132480 146280 152640 156032 158976 164565 175536 183168 195040 198720 203520 219420 228960 234048 263304 264960 292560 305280 312064 329130 351072 366336 390080 397440 438840 457920 468096 526608 585120 610560 658260 702144 780160 794880 877680 915840 936192 1053216 1170240 1316520 1404288 1560320 1755360 1831680 2106432 2340480 2633040 2808576 3510720 4212864 4680960 5266080 7021440 8425728 10532160 14042880 21064320 42128640
- Sum of all divisors σ(n): 158941440
- Sum of proper divisors (its aliquot sum) s(n): 116812800
- 42128640 is an abundant number, because the sum of its proper divisors (116812800) is greater than itself. Its abundance is 74684160
Bases of 42128640
- Binary: 101000001011010101000000002
- Hexadecimal: 0x282D500
- Base-36: P2YO0
Squares and roots of 42128640
- 42128640 squared (421286402) is 1774822308249600
- 42128640 cubed (421286403) is 74770850088216428544000
-
The
square root of 42128640 is 6490.6579019387 -
The
cube root of 42128640 is 347.9571885503
Scales and comparisons
How big is 42128640?- 42,128,640 seconds is equal to 1 year, 17 weeks, 4 days, 14 hours, 24 minutes.
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To count from 1 to 42,128,640 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 42128640 cubic inches would be around 29 feet tall.
Recreational maths with 42128640
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