484992144
484,992,144 is an even composite number composed of five prime numbers multiplied together.
484992144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 484992144:
24 × 33 × 7 × 133 × 73
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 73)See below for interesting mathematical facts about the number 484992144 from the Numbermatics database.
Names of 484992144
- Cardinal: 484992144 can be written as Four hundred eighty-four million, nine hundred ninety-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.84992144 × 108
Factors of 484992144
Divisors of 484992144
- 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 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 73 78 84 91 104 108 112 117 126 144 146 156 168 169 182 189 208 216 219 234 252 273 292 312 336 338 351 364 378 432 438 468 504 507 511 546 584 624 657 676 702 728 756 819 876 936 949 1008 1014 1022 1092 1168 1183 1314 1352 1404 1456 1512 1521 1533 1638 1752 1872 1898 1971 2028 2044 2184 2197 2366 2457 2628 2704 2808 2847 3024 3042 3066 3276 3504 3549 3796 3942 4056 4088 4368 4394 4563 4599 4732 4914 5256 5616 5694 6084 6132 6552 6591 6643 7098 7592 7884 8112 8176 8541 8788 9126 9198 9464 9828 10512 10647 11388 12168 12264 12337 13104 13182 13286 13797 14196 15184 15379 15768 17082 17576 18252 18396 18928 19656 19773 19929 21294 22776 24336 24528 24674 25623 26364 26572 27594 28392 30758 31536 31941 34164 35152 36504 36792 37011 39312 39546 39858 42588 45552 46137 49348 51246 52728 53144 55188 56784 59319 59787 61516 63882 68328 73008 73584 74022 79092 79716 85176 86359 92274 98696 102492 105456 106288 110376 111033 118638 119574 123032 127764 136656 138411 148044 158184 159432 160381 170352 172718 179361 184548 197392 204984 220752 222066 237276 239148 246064 255528 259077 276822 296088 316368 318864 320762 333099 345436 358722 369096 409968 415233 444132 474552 478296 481143 511056 518154 553644 592176 641524 666198 690872 717444 738192 777231 830466 888264 949104 956592 962286 1036308 1107288 1122667 1283048 1332396 1381744 1434888 1443429 1554462 1660932 1776528 1924572 2072616 2214576 2245334 2331693 2566096 2664792 2869776 2886858 3108924 3321864 3368001 3849144 4145232 4330287 4490668 4663386 5329584 5773716 6217848 6643728 6736002 7698288 8660574 8981336 9326772 10104003 11547432 12435696 13472004 17321148 17962672 18653544 20208006 23094864 26944008 30312009 34642296 37307088 40416012 53888016 60624018 69284592 80832024 121248036 161664048 242496072 484992144
- Sum of all divisors σ(n): 1747110400
- Sum of proper divisors (its aliquot sum) s(n): 1262118256
- 484992144 is an abundant number, because the sum of its proper divisors (1262118256) is greater than itself. Its abundance is 777126112
Bases of 484992144
- Binary: 111001110100001100100100100002
- Hexadecimal: 0x1CE86490
- Base-36: 80R2C0
Squares and roots of 484992144
- 484992144 squared (4849921442) is 235217379741716736
- 484992144 cubed (4849921443) is 114078581306997366033321984
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The
square root of 484992144 is 22022.5371835311 -
The
cube root of 484992144 is 785.6785586147
Scales and comparisons
How big is 484992144?- 484,992,144 seconds is equal to 15 years, 21 weeks, 6 days, 8 hours, 2 minutes, 24 seconds.
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To count from 1 to 484,992,144 would take you about twenty-three 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 484992144 cubic inches would be around 65.5 feet tall.
Recreational maths with 484992144
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