428113920
428,113,920 is an even composite number composed of five prime numbers multiplied together.
428113920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 428113920:
215 × 3 × 5 × 13 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 67)See below for interesting mathematical facts about the number 428113920 from the Numbermatics database.
Names of 428113920
- Cardinal: 428113920 can be written as Four hundred twenty-eight million, one hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.2811392 × 108
Factors of 428113920
Divisors of 428113920
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 67 78 80 96 104 120 128 130 134 156 160 192 195 201 208 240 256 260 268 312 320 335 384 390 402 416 480 512 520 536 624 640 670 768 780 804 832 871 960 1005 1024 1040 1072 1248 1280 1340 1536 1560 1608 1664 1742 1920 2010 2048 2080 2144 2496 2560 2613 2680 3072 3120 3216 3328 3484 3840 4020 4096 4160 4288 4355 4992 5120 5226 5360 6144 6240 6432 6656 6968 7680 8040 8192 8320 8576 8710 9984 10240 10452 10720 12288 12480 12864 13065 13312 13936 15360 16080 16384 16640 17152 17420 19968 20480 20904 21440 24576 24960 25728 26130 26624 27872 30720 32160 32768 33280 34304 34840 39936 40960 41808 42880 49152 49920 51456 52260 53248 55744 61440 64320 66560 68608 69680 79872 81920 83616 85760 98304 99840 102912 104520 106496 111488 122880 128640 133120 137216 139360 159744 163840 167232 171520 199680 205824 209040 212992 222976 245760 257280 266240 274432 278720 319488 334464 343040 399360 411648 418080 425984 445952 491520 514560 532480 548864 557440 638976 668928 686080 798720 823296 836160 891904 1029120 1064960 1097728 1114880 1277952 1337856 1372160 1597440 1646592 1672320 1783808 2058240 2129920 2195456 2229760 2675712 2744320 3194880 3293184 3344640 3567616 4116480 4459520 5351424 5488640 6389760 6586368 6689280 7135232 8232960 8919040 10702848 10977280 13378560 14270464 16465920 17838080 21405696 26757120 28540928 32931840 35676160 42811392 53514240 71352320 85622784 107028480 142704640 214056960 428113920
- Sum of all divisors σ(n): 1497343680
- Sum of proper divisors (its aliquot sum) s(n): 1069229760
- 428113920 is an abundant number, because the sum of its proper divisors (1069229760) is greater than itself. Its abundance is 641115840
Bases of 428113920
- Binary: 110011000010010000000000000002
- Hexadecimal: 0x19848000
- Base-36: 72VYTC
Squares and roots of 428113920
- 428113920 squared (4281139202) is 183281528497766400
- 428113920 cubed (4281139203) is 78465373628770484748288000
-
The
square root of 428113920 is 20690.9139479145 -
The
cube root of 428113920 is 753.6790609485
Scales and comparisons
How big is 428113920?- 428,113,920 seconds is equal to 13 years, 31 weeks, 6 days, 32 minutes.
-
To count from 1 to 428,113,920 would take you about twenty 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 428113920 cubic inches would be around 62.8 feet tall.
Recreational maths with 428113920
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