42664320
42,664,320 is an even composite number composed of four prime numbers multiplied together.
42664320 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 42664320:
27 × 34 × 5 × 823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 823)See below for interesting mathematical facts about the number 42664320 from the Numbermatics database.
Names of 42664320
- Cardinal: 42664320 can be written as Forty-two million, six hundred sixty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.266432 × 107
Factors of 42664320
Divisors of 42664320
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 823 864 960 1080 1152 1296 1440 1620 1646 1728 1920 2160 2469 2592 2880 3240 3292 3456 4115 4320 4938 5184 5760 6480 6584 7407 8230 8640 9876 10368 12345 12960 13168 14814 16460 17280 19752 22221 24690 25920 26336 29628 32920 37035 39504 44442 49380 51840 52672 59256 65840 66663 74070 79008 88884 98760 105344 111105 118512 131680 133326 148140 158016 177768 197520 222210 237024 263360 266652 296280 316032 333315 355536 395040 444420 474048 526720 533304 592560 666630 711072 790080 888840 948096 1066608 1185120 1333260 1422144 1580160 1777680 2133216 2370240 2666520 2844288 3555360 4266432 4740480 5333040 7110720 8532864 10666080 14221440 21332160 42664320
- Sum of all divisors σ(n): 152547120
- Sum of proper divisors (its aliquot sum) s(n): 109882800
- 42664320 is an abundant number, because the sum of its proper divisors (109882800) is greater than itself. Its abundance is 67218480
Bases of 42664320
- Binary: 101000101100000001100000002
- Hexadecimal: 0x28B0180
- Base-36: PEG00
Squares and roots of 42664320
- 42664320 squared (426643202) is 1820244201062400
- 42664320 cubed (426643203) is 77659481072270573568000
-
The
square root of 42664320 is 6531.7930157041 -
The
cube root of 42664320 is 349.4257795203
Scales and comparisons
How big is 42664320?- 42,664,320 seconds is equal to 1 year, 18 weeks, 3 days, 19 hours, 12 minutes.
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To count from 1 to 42,664,320 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 42664320 cubic inches would be around 29.1 feet tall.
Recreational maths with 42664320
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