480530232
480,530,232 is an even composite number composed of six prime numbers multiplied together.
480530232 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 480530232:
23 × 34 × 7 × 13 × 29 × 281
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 29 × 281)See below for interesting mathematical facts about the number 480530232 from the Numbermatics database.
Names of 480530232
- Cardinal: 480530232 can be written as Four hundred eighty million, five hundred thirty thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 4.80530232 × 108
Factors of 480530232
Divisors of 480530232
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 29 36 39 42 52 54 56 58 63 72 78 81 84 87 91 104 108 116 117 126 156 162 168 174 182 189 203 216 232 234 252 261 273 281 312 324 348 351 364 377 378 406 468 504 522 546 562 567 609 648 696 702 728 754 756 783 812 819 843 936 1044 1053 1092 1124 1131 1134 1218 1404 1508 1512 1566 1624 1638 1686 1827 1967 2088 2106 2184 2248 2262 2268 2349 2436 2457 2529 2639 2808 3016 3132 3276 3372 3393 3653 3654 3934 4212 4524 4536 4698 4872 4914 5058 5278 5481 5901 6264 6552 6744 6786 7306 7308 7371 7587 7868 7917 8149 8424 9048 9396 9828 10116 10179 10556 10959 10962 11802 13572 14612 14616 14742 15174 15736 15834 16298 16443 17703 18792 19656 20232 20358 21112 21918 21924 22761 23604 23751 24447 25571 27144 29224 29484 30348 30537 31668 32596 32877 32886 35406 40716 43836 43848 45522 47208 47502 48894 51142 53109 57043 58968 60696 61074 63336 65192 65754 65772 70812 71253 73341 76713 81432 87672 91044 95004 97788 98631 102284 105937 106218 114086 122148 131508 131544 141624 142506 146682 153426 159327 171129 182088 190008 195576 197262 204568 211874 212436 213759 220023 228172 230139 244296 263016 285012 293364 295893 306852 317811 318654 342258 394524 423748 424872 427518 440046 456344 460278 513387 570024 586728 591786 613704 635622 637308 660069 684516 690417 741559 789048 847496 855036 880092 920556 953433 1026774 1183572 1271244 1274616 1320138 1369032 1380834 1483118 1540161 1710072 1760184 1841112 1906866 2053548 2071251 2224677 2367144 2542488 2640276 2761668 2860299 2966236 3080322 3813732 4107096 4142502 4449354 4620483 5280552 5523336 5720598 5932472 6160644 6674031 7627464 8285004 8580897 8898708 9240966 11441196 12321288 13348062 16570008 17161794 17797416 18481932 20022093 22882392 26696124 34323588 36963864 40044186 53392248 60066279 68647176 80088372 120132558 160176744 240265116 480530232
- Sum of all divisors σ(n): 1719748800
- Sum of proper divisors (its aliquot sum) s(n): 1239218568
- 480530232 is an abundant number, because the sum of its proper divisors (1239218568) is greater than itself. Its abundance is 758688336
Bases of 480530232
- Binary: 111001010010001001111001110002
- Hexadecimal: 0x1CA44F38
- Base-36: 7Y3FI0
Squares and roots of 480530232
- 480530232 squared (4805302322) is 230909303865973824
- 480530232 cubed (4805302323) is 110958901357674898552647168
-
The
square root of 480530232 is 21920.9997947173 -
The
cube root of 480530232 is 783.2617260433
Scales and comparisons
How big is 480530232?- 480,530,232 seconds is equal to 15 years, 14 weeks, 3 days, 16 hours, 37 minutes, 12 seconds.
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To count from 1 to 480,530,232 would take you about twenty-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 480530232 cubic inches would be around 65.3 feet tall.
Recreational maths with 480530232
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