484228680
484,228,680 is an even composite number composed of seven prime numbers multiplied together.
484228680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 484228680:
23 × 3 × 5 × 13 × 17 × 19 × 312
(2 × 2 × 2 × 3 × 5 × 13 × 17 × 19 × 31 × 31)See below for interesting mathematical facts about the number 484228680 from the Numbermatics database.
Names of 484228680
- Cardinal: 484228680 can be written as Four hundred eighty-four million, two hundred twenty-eight thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.8422868 × 108
Factors of 484228680
Divisors of 484228680
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 17 19 20 24 26 30 31 34 38 39 40 51 52 57 60 62 65 68 76 78 85 93 95 102 104 114 120 124 130 136 152 155 156 170 186 190 195 204 221 228 247 248 255 260 285 310 312 323 340 372 380 390 403 408 442 456 465 494 510 520 527 570 589 620 646 663 680 741 744 760 780 806 884 930 961 969 988 1020 1054 1105 1140 1178 1209 1235 1240 1292 1326 1482 1560 1581 1612 1615 1767 1768 1860 1922 1938 1976 2015 2040 2108 2210 2280 2356 2418 2470 2584 2635 2652 2883 2945 2964 3162 3224 3230 3315 3534 3705 3720 3844 3876 4030 4199 4216 4420 4712 4805 4836 4845 4940 5270 5304 5766 5890 5928 6045 6324 6460 6630 6851 7068 7410 7657 7688 7752 7905 8060 8398 8835 8840 9610 9672 9690 9880 10013 10540 11532 11780 12090 12493 12597 12648 12920 13260 13702 14136 14415 14820 15314 15810 16120 16337 16796 17670 18259 19220 19380 20026 20553 20995 21080 22971 23064 23560 24180 24986 25194 26520 27404 28830 29640 30039 30628 31620 32674 33592 34255 35340 36518 37479 38285 38440 38760 40052 41106 41990 45942 48360 49011 49972 50065 50388 54777 54808 57660 60078 61256 62465 62985 63240 65348 68510 70680 73036 74958 76570 80104 81685 82212 83980 91295 91884 98022 99944 100130 100776 102765 109554 114855 115320 120156 124930 125970 130169 130696 137020 146072 149916 150195 153140 163370 164424 167960 182590 183768 187395 196044 200260 205530 212381 219108 229710 237367 240312 245055 249860 251940 260338 273885 274040 299832 300390 306280 310403 326740 365180 374790 390507 392088 400520 411060 424762 438216 459420 474734 490110 499720 503880 520676 547770 600780 620806 637143 650845 653480 712101 730360 749580 781014 822120 849524 918840 931209 949468 980220 1041352 1061905 1095540 1186835 1201560 1241612 1274286 1301690 1424202 1499160 1552015 1562028 1699048 1862418 1898936 1952535 1960440 2123810 2191080 2373670 2483224 2548572 2603380 2848404 3104030 3124056 3185715 3560505 3724836 3905070 4035239 4247620 4656045 4747340 5097144 5206760 5696808 6208060 6371430 7121010 7449672 7810140 8070478 8495240 9312090 9494680 12105717 12416120 12742860 14242020 15620280 16140956 18624180 20176195 24211434 25485720 28484040 32281912 37248360 40352390 48422868 60528585 80704780 96845736 121057170 161409560 242114340 484228680
- Sum of all divisors σ(n): 1801699200
- Sum of proper divisors (its aliquot sum) s(n): 1317470520
- 484228680 is an abundant number, because the sum of its proper divisors (1317470520) is greater than itself. Its abundance is 833241840
Bases of 484228680
- Binary: 111001101110010111110010010002
- Hexadecimal: 0x1CDCBE48
- Base-36: 80AP8O
Squares and roots of 484228680
- 484228680 squared (4842286802) is 234477414534542400
- 484228680 cubed (4842286803) is 113540688929874280756032000
-
The
square root of 484228680 is 22005.1966589713 -
The
cube root of 484228680 is 785.2660761115
Scales and comparisons
How big is 484228680?- 484,228,680 seconds is equal to 15 years, 20 weeks, 4 days, 11 hours, 58 minutes.
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To count from 1 to 484,228,680 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 484228680 cubic inches would be around 65.4 feet tall.
Recreational maths with 484228680
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