42398720
42,398,720 is an even composite number composed of four prime numbers multiplied together.
42398720 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-eight divisors.
Prime factorization of 42398720:
210 × 5 × 72 × 132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 13)See below for interesting mathematical facts about the number 42398720 from the Numbermatics database.
Names of 42398720
- Cardinal: 42398720 can be written as Forty-two million, three hundred ninety-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.239872 × 107
Factors of 42398720
Divisors of 42398720
- Number of divisors d(n): 198
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 64 65 70 80 91 98 104 112 128 130 140 160 169 182 196 208 224 245 256 260 280 320 338 364 392 416 448 455 490 512 520 560 637 640 676 728 784 832 845 896 910 980 1024 1040 1120 1183 1274 1280 1352 1456 1568 1664 1690 1792 1820 1960 2080 2240 2366 2548 2560 2704 2912 3136 3185 3328 3380 3584 3640 3920 4160 4480 4732 5096 5120 5408 5824 5915 6272 6370 6656 6760 7168 7280 7840 8281 8320 8960 9464 10192 10816 11648 11830 12544 12740 13312 13520 14560 15680 16562 16640 17920 18928 20384 21632 23296 23660 25088 25480 27040 29120 31360 33124 33280 35840 37856 40768 41405 43264 46592 47320 50176 50960 54080 58240 62720 66248 66560 75712 81536 82810 86528 93184 94640 101920 108160 116480 125440 132496 151424 163072 165620 173056 189280 203840 216320 232960 250880 264992 302848 326144 331240 378560 407680 432640 465920 529984 605696 652288 662480 757120 815360 865280 1059968 1211392 1324960 1514240 1630720 2119936 2649920 3028480 3261440 4239872 5299840 6056960 8479744 10599680 21199360 42398720
- Sum of all divisors σ(n): 128113542
- Sum of proper divisors (its aliquot sum) s(n): 85714822
- 42398720 is an abundant number, because the sum of its proper divisors (85714822) is greater than itself. Its abundance is 43316102
Bases of 42398720
- Binary: 101000011011110100000000002
- Hexadecimal: 0x286F400
- Base-36: P8R28
Squares and roots of 42398720
- 42398720 squared (423987202) is 1797651457638400
- 42398720 cubed (423987203) is 76218120810002382848000
-
The
square root of 42398720 is 6511.4299504793 -
The
cube root of 42398720 is 348.6991712601
Scales and comparisons
How big is 42398720?- 42,398,720 seconds is equal to 1 year, 18 weeks, 17 hours, 25 minutes, 20 seconds.
-
To count from 1 to 42,398,720 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 42398720 cubic inches would be around 29.1 feet tall.
Recreational maths with 42398720
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