484116480
484,116,480 is an even composite number composed of five prime numbers multiplied together.
484116480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 484116480:
211 × 33 × 5 × 17 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 103)See below for interesting mathematical facts about the number 484116480 from the Numbermatics database.
Names of 484116480
- Cardinal: 484116480 can be written as Four hundred eighty-four million, one hundred sixteen thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.8411648 × 108
Factors of 484116480
Divisors of 484116480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 103 108 120 128 135 136 144 153 160 170 180 192 204 206 216 240 255 256 270 272 288 306 309 320 340 360 384 408 412 432 459 480 510 512 515 540 544 576 612 618 640 680 720 765 768 816 824 864 918 927 960 1020 1024 1030 1080 1088 1152 1224 1236 1280 1360 1440 1530 1536 1545 1632 1648 1728 1751 1836 1854 1920 2040 2048 2060 2160 2176 2295 2304 2448 2472 2560 2720 2781 2880 3060 3072 3090 3264 3296 3456 3502 3672 3708 3840 4080 4120 4320 4352 4590 4608 4635 4896 4944 5120 5253 5440 5562 5760 6120 6144 6180 6528 6592 6912 7004 7344 7416 7680 8160 8240 8640 8704 8755 9180 9216 9270 9792 9888 10240 10506 10880 11124 11520 12240 12360 13056 13184 13824 13905 14008 14688 14832 15360 15759 16320 16480 17280 17408 17510 18360 18432 18540 19584 19776 21012 21760 22248 23040 24480 24720 26112 26265 26368 27648 27810 28016 29376 29664 30720 31518 32640 32960 34560 34816 35020 36720 37080 39168 39552 42024 43520 44496 46080 47277 48960 49440 52224 52530 52736 55296 55620 56032 58752 59328 63036 65280 65920 69120 70040 73440 74160 78336 78795 79104 84048 87040 88992 92160 94554 97920 98880 104448 105060 105472 111240 112064 117504 118656 126072 130560 131840 138240 140080 146880 148320 156672 157590 158208 168096 174080 177984 189108 195840 197760 210120 210944 222480 224128 235008 236385 237312 252144 261120 263680 276480 280160 293760 296640 313344 315180 316416 336192 355968 378216 391680 395520 420240 444960 448256 470016 472770 474624 504288 522240 527360 560320 587520 593280 630360 632832 672384 711936 756432 783360 791040 840480 889920 896512 940032 945540 949248 1008576 1054720 1120640 1175040 1186560 1260720 1344768 1423872 1512864 1566720 1582080 1680960 1779840 1793024 1891080 1898496 2017152 2241280 2350080 2373120 2521440 2689536 2847744 3025728 3164160 3361920 3559680 3586048 3782160 4034304 4482560 4700160 4746240 5042880 5379072 5695488 6051456 6723840 7119360 7564320 8068608 8965120 9492480 10085760 10758144 12102912 13447680 14238720 15128640 16137216 17930240 20171520 24205824 26895360 28477440 30257280 32274432 40343040 48411648 53790720 60514560 80686080 96823296 121029120 161372160 242058240 484116480
- Sum of all divisors σ(n): 1839801600
- Sum of proper divisors (its aliquot sum) s(n): 1355685120
- 484116480 is an abundant number, because the sum of its proper divisors (1355685120) is greater than itself. Its abundance is 871568640
Bases of 484116480
- Binary: 111001101101100001000000000002
- Hexadecimal: 0x1CDB0800
- Base-36: 808AO0
Squares and roots of 484116480
- 484116480 squared (4841164802) is 234368766207590400
- 484116480 cubed (4841164803) is 113461782118361613729792000
-
The
square root of 484116480 is 22002.6471134727 -
The
cube root of 484116480 is 785.2054204315
Scales and comparisons
How big is 484116480?- 484,116,480 seconds is equal to 15 years, 20 weeks, 3 days, 4 hours, 48 minutes.
-
To count from 1 to 484,116,480 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 484116480 cubic inches would be around 65.4 feet tall.
Recreational maths with 484116480
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