484989120
484,989,120 is an even composite number composed of five prime numbers multiplied together.
484989120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 484989120:
26 × 39 × 5 × 7 × 11
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11)See below for interesting mathematical facts about the number 484989120 from the Numbermatics database.
Names of 484989120
- Cardinal: 484989120 can be written as Four hundred eighty-four million, nine hundred eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.8498912 × 108
Factors of 484989120
Divisors of 484989120
- Number of divisors d(n): 560
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 126 132 135 140 144 154 160 162 165 168 176 180 189 192 198 210 216 220 224 231 240 243 252 264 270 280 288 297 308 315 320 324 330 336 352 360 378 385 396 405 420 432 440 448 462 480 486 495 504 528 540 560 567 576 594 616 630 648 660 672 693 704 720 729 756 770 792 810 840 864 880 891 924 945 960 972 990 1008 1056 1080 1120 1134 1155 1188 1215 1232 1260 1296 1320 1344 1386 1440 1458 1485 1512 1540 1584 1620 1680 1701 1728 1760 1782 1848 1890 1944 1980 2016 2079 2112 2160 2187 2240 2268 2310 2376 2430 2464 2520 2592 2640 2673 2772 2835 2880 2916 2970 3024 3080 3168 3240 3360 3402 3465 3520 3564 3645 3696 3780 3888 3960 4032 4158 4320 4374 4455 4536 4620 4752 4860 4928 5040 5103 5184 5280 5346 5544 5670 5832 5940 6048 6160 6237 6336 6480 6561 6720 6804 6930 7128 7290 7392 7560 7776 7920 8019 8316 8505 8640 8748 8910 9072 9240 9504 9720 10080 10206 10395 10560 10692 10935 11088 11340 11664 11880 12096 12320 12474 12960 13122 13365 13608 13860 14256 14580 14784 15120 15309 15552 15840 16038 16632 17010 17496 17820 18144 18480 18711 19008 19440 19683 20160 20412 20790 21384 21870 22176 22680 23328 23760 24057 24640 24948 25515 25920 26244 26730 27216 27720 28512 29160 30240 30618 31185 31680 32076 32805 33264 34020 34992 35640 36288 36960 37422 38880 39366 40095 40824 41580 42768 43740 44352 45360 45927 46656 47520 48114 49896 51030 52488 53460 54432 55440 56133 57024 58320 60480 61236 62370 64152 65610 66528 68040 69984 71280 72171 73920 74844 76545 77760 78732 80190 81648 83160 85536 87480 90720 91854 93555 95040 96228 98415 99792 102060 104976 106920 108864 110880 112266 116640 120285 122472 124740 128304 131220 133056 136080 137781 139968 142560 144342 149688 153090 157464 160380 163296 166320 168399 171072 174960 181440 183708 187110 192456 196830 199584 204120 209952 213840 216513 221760 224532 229635 233280 240570 244944 249480 256608 262440 272160 275562 280665 285120 288684 299376 306180 314928 320760 326592 332640 336798 349920 360855 367416 374220 384912 393660 399168 408240 419904 427680 433026 449064 459270 481140 489888 498960 505197 513216 524880 544320 551124 561330 577368 598752 612360 629856 641520 665280 673596 688905 699840 721710 734832 748440 769824 787320 816480 841995 855360 866052 898128 918540 962280 979776 997920 1010394 1049760 1082565 1102248 1122660 1154736 1197504 1224720 1259712 1283040 1347192 1377810 1443420 1469664 1496880 1515591 1539648 1574640 1632960 1683990 1732104 1796256 1837080 1924560 1995840 2020788 2099520 2165130 2204496 2245320 2309472 2449440 2525985 2566080 2694384 2755620 2886840 2939328 2993760 3031182 3149280 3367980 3464208 3592512 3674160 3849120 4041576 4330260 4408992 4490640 4618944 4898880 5051970 5388768 5511240 5773680 5987520 6062364 6298560 6735960 6928416 7348320 7577955 7698240 8083152 8660520 8817984 8981280 10103940 10777536 11022480 11547360 12124728 13471920 13856832 14696640 15155910 16166304 17321040 17962560 20207880 22044960 23094720 24249456 26943840 30311820 32332608 34642080 40415760 44089920 48498912 53887680 60623640 69284160 80831520 96997824 121247280 161663040 242494560 484989120
- Sum of all divisors σ(n): 2159739648
- Sum of proper divisors (its aliquot sum) s(n): 1674750528
- 484989120 is an abundant number, because the sum of its proper divisors (1674750528) is greater than itself. Its abundance is 1189761408
Bases of 484989120
- Binary: 111001110100001011000110000002
- Hexadecimal: 0x1CE858C0
- Base-36: 80R000
Squares and roots of 484989120
- 484989120 squared (4849891202) is 235214446518374400
- 484989120 cubed (4849891203) is 114076447428233464086528000
-
The
square root of 484989120 is 22022.4685264845 -
The
cube root of 484989120 is 785.6769256695
Scales and comparisons
How big is 484989120?- 484,989,120 seconds is equal to 15 years, 21 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 484,989,120 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 484989120 cubic inches would be around 65.5 feet tall.
Recreational maths with 484989120
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