42264320
42,264,320 is an even composite number composed of five prime numbers multiplied together.
42264320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42264320:
28 × 5 × 7 × 53 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 53 × 89)See below for interesting mathematical facts about the number 42264320 from the Numbermatics database.
Names of 42264320
- Cardinal: 42264320 can be written as Forty-two million, two hundred sixty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.226432 × 107
Factors of 42264320
Divisors of 42264320
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 89 106 112 128 140 160 178 212 224 256 265 280 320 356 371 424 445 448 530 560 623 640 712 742 848 890 896 1060 1120 1246 1280 1424 1484 1696 1780 1792 1855 2120 2240 2492 2848 2968 3115 3392 3560 3710 4240 4480 4717 4984 5696 5936 6230 6784 7120 7420 8480 8960 9434 9968 11392 11872 12460 13568 14240 14840 16960 18868 19936 22784 23585 23744 24920 28480 29680 33019 33920 37736 39872 47170 47488 49840 56960 59360 66038 67840 75472 79744 94340 94976 99680 113920 118720 132076 150944 159488 165095 188680 199360 237440 264152 301888 330190 377360 398720 474880 528304 603776 660380 754720 797440 1056608 1207552 1320760 1509440 2113216 2641520 3018880 4226432 5283040 6037760 8452864 10566080 21132160 42264320
- Sum of all divisors σ(n): 119206080
- Sum of proper divisors (its aliquot sum) s(n): 76941760
- 42264320 is an abundant number, because the sum of its proper divisors (76941760) is greater than itself. Its abundance is 34677440
Bases of 42264320
- Binary: 101000010011100111000000002
- Hexadecimal: 0x284E700
- Base-36: P5VCW
Squares and roots of 42264320
- 42264320 squared (422643202) is 1786272745062400
- 42264320 cubed (422643203) is 75495602904595693568000
-
The
square root of 42264320 is 6501.1014451399 -
The
cube root of 42264320 is 348.3303332745
Scales and comparisons
How big is 42264320?- 42,264,320 seconds is equal to 1 year, 17 weeks, 6 days, 4 hours, 5 minutes, 20 seconds.
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To count from 1 to 42,264,320 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 42264320 cubic inches would be around 29 feet tall.
Recreational maths with 42264320
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