428821120
428,821,120 is an even composite number composed of six prime numbers multiplied together.
428821120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 428821120:
27 × 5 × 7 × 13 × 37 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 37 × 199)See below for interesting mathematical facts about the number 428821120 from the Numbermatics database.
Names of 428821120
- Cardinal: 428821120 can be written as Four hundred twenty-eight million, eight hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2882112 × 108
Factors of 428821120
Divisors of 428821120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 37 40 52 56 64 65 70 74 80 91 104 112 128 130 140 148 160 182 185 199 208 224 259 260 280 296 320 364 370 398 416 448 455 481 518 520 560 592 640 728 740 796 832 896 910 962 995 1036 1040 1120 1184 1295 1393 1456 1480 1592 1664 1820 1924 1990 2072 2080 2240 2368 2405 2587 2590 2786 2912 2960 3184 3367 3640 3848 3980 4144 4160 4480 4736 4810 5174 5180 5572 5824 5920 6368 6734 6965 7280 7363 7696 7960 8288 8320 9620 10348 10360 11144 11648 11840 12736 12935 13468 13930 14560 14726 15392 15920 16576 16835 18109 19240 20696 20720 22288 23680 25472 25870 26936 27860 29120 29452 30784 31840 33152 33670 36218 36815 38480 41392 41440 44576 51541 51740 53872 55720 58240 58904 61568 63680 67340 72436 73630 76960 82784 82880 89152 90545 95719 103082 103480 107744 111440 117808 127360 134680 144872 147260 153920 165568 165760 178304 181090 191438 206164 206960 215488 222880 235616 257705 269360 289744 294520 307840 331136 362180 382876 412328 413920 430976 445760 471232 478595 515410 538720 579488 589040 670033 724360 765752 824656 827840 891520 942464 957190 1030820 1077440 1158976 1178080 1340066 1448720 1531504 1649312 1655680 1914380 2061640 2154880 2317952 2356160 2680132 2897440 3063008 3298624 3350165 3828760 4123280 4712320 5360264 5794880 6126016 6597248 6700330 7657520 8246560 10720528 11589760 12252032 13400660 15315040 16493120 21441056 26801320 30630080 32986240 42882112 53602640 61260160 85764224 107205280 214410560 428821120
- Sum of all divisors σ(n): 1302336000
- Sum of proper divisors (its aliquot sum) s(n): 873514880
- 428821120 is an abundant number, because the sum of its proper divisors (873514880) is greater than itself. Its abundance is 444693760
Bases of 428821120
- Binary: 110011000111101001010100000002
- Hexadecimal: 0x198F4A80
- Base-36: 73B4HS
Squares and roots of 428821120
- 428821120 squared (4288211202) is 183887552958054400
- 428821120 cubed (4288211203) is 78854866413532200828928000
-
The
square root of 428821120 is 20707.9965230829 -
The
cube root of 428821120 is 754.0938326469
Scales and comparisons
How big is 428821120?- 428,821,120 seconds is equal to 13 years, 33 weeks, 4 hours, 58 minutes, 40 seconds.
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To count from 1 to 428,821,120 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 428821120 cubic inches would be around 62.8 feet tall.
Recreational maths with 428821120
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