428144640
428,144,640 is an even composite number composed of six prime numbers multiplied together.
428144640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428144640:
211 × 3 × 5 × 7 × 11 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 181)See below for interesting mathematical facts about the number 428144640 from the Numbermatics database.
Names of 428144640
- Cardinal: 428144640 can be written as Four hundred twenty-eight million, one hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.2814464 × 108
Factors of 428144640
Divisors of 428144640
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 84 88 96 105 110 112 120 128 132 140 154 160 165 168 176 181 192 210 220 224 231 240 256 264 280 308 320 330 336 352 362 384 385 420 440 448 462 480 512 528 543 560 616 640 660 672 704 724 768 770 840 880 896 905 924 960 1024 1056 1086 1120 1155 1232 1267 1280 1320 1344 1408 1448 1536 1540 1680 1760 1792 1810 1848 1920 1991 2048 2112 2172 2240 2310 2464 2534 2560 2640 2688 2715 2816 2896 3072 3080 3360 3520 3584 3620 3696 3801 3840 3982 4224 4344 4480 4620 4928 5068 5120 5280 5376 5430 5632 5792 5973 6144 6160 6335 6720 7040 7168 7240 7392 7602 7680 7964 8448 8688 8960 9240 9856 9955 10136 10240 10560 10752 10860 11264 11584 11946 12320 12670 13440 13937 14080 14336 14480 14784 15204 15360 15928 16896 17376 17920 18480 19005 19712 19910 20272 21120 21504 21720 22528 23168 23892 24640 25340 26880 27874 28160 28960 29568 29865 30408 30720 31856 33792 34752 35840 36960 38010 39424 39820 40544 41811 42240 43008 43440 46336 47784 49280 50680 53760 55748 56320 57920 59136 59730 60816 63712 67584 69504 69685 71680 73920 76020 78848 79640 81088 83622 84480 86880 92672 95568 98560 101360 107520 111496 112640 115840 118272 119460 121632 127424 139008 139370 147840 152040 157696 159280 162176 167244 168960 173760 185344 191136 197120 202720 209055 215040 222992 231680 236544 238920 243264 254848 278016 278740 295680 304080 318560 324352 334488 337920 347520 370688 382272 394240 405440 418110 445984 463360 473088 477840 486528 509696 556032 557480 591360 608160 637120 648704 668976 695040 764544 788480 810880 836220 891968 926720 955680 973056 1019392 1112064 1114960 1182720 1216320 1274240 1297408 1337952 1390080 1529088 1621760 1672440 1783936 1853440 1911360 1946112 2038784 2229920 2365440 2432640 2548480 2594816 2675904 2780160 3058176 3243520 3344880 3567872 3822720 3892224 4077568 4459840 4865280 5096960 5351808 5560320 6116352 6487040 6689760 7135744 7645440 7784448 8919680 9730560 10193920 10703616 12232704 12974080 13379520 14271488 15290880 17839360 19461120 20387840 21407232 26759040 28542976 30581760 35678720 38922240 42814464 53518080 61163520 71357440 85628928 107036160 142714880 214072320 428144640
- Sum of all divisors σ(n): 1717148160
- Sum of proper divisors (its aliquot sum) s(n): 1289003520
- 428144640 is an abundant number, because the sum of its proper divisors (1289003520) is greater than itself. Its abundance is 860858880
Bases of 428144640
- Binary: 110011000010011111000000000002
- Hexadecimal: 0x1984F800
- Base-36: 72WMIO
Squares and roots of 428144640
- 428144640 squared (4281446402) is 183307832760729600
- 428144640 cubed (4281446403) is 78482266066522780729344000
-
The
square root of 428144640 is 20691.6562894323 -
The
cube root of 428144640 is 753.6970876669
Scales and comparisons
How big is 428144640?- 428,144,640 seconds is equal to 13 years, 31 weeks, 6 days, 9 hours, 4 minutes.
-
To count from 1 to 428,144,640 would take you about twenty 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 428144640 cubic inches would be around 62.8 feet tall.
Recreational maths with 428144640
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