428972544
428,972,544 is an even composite number composed of six prime numbers multiplied together.
428972544 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 428972544:
29 × 33 × 7 × 11 × 13 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 31)See below for interesting mathematical facts about the number 428972544 from the Numbermatics database.
Names of 428972544
- Cardinal: 428972544 can be written as Four hundred twenty-eight million, nine hundred seventy-two thousand, five hundred forty-four.
Scientific notation
- Scientific notation: 4.28972544 × 108
Factors of 428972544
Divisors of 428972544
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 31 32 33 36 39 42 44 48 52 54 56 62 63 64 66 72 77 78 84 88 91 93 96 99 104 108 112 117 124 126 128 132 143 144 154 156 168 176 182 186 189 192 198 208 216 217 224 231 234 248 252 256 264 273 279 286 288 297 308 312 336 341 351 352 364 372 378 384 396 403 416 429 432 434 448 462 468 496 504 512 528 546 558 572 576 594 616 624 651 672 682 693 702 704 728 744 756 768 792 806 819 832 837 858 864 868 896 924 936 992 1001 1008 1023 1056 1092 1116 1144 1152 1188 1209 1232 1248 1287 1302 1344 1364 1386 1404 1408 1456 1488 1512 1536 1584 1612 1638 1664 1674 1716 1728 1736 1792 1848 1872 1953 1984 2002 2016 2046 2079 2112 2184 2232 2288 2304 2376 2387 2418 2457 2464 2496 2574 2604 2688 2728 2772 2808 2816 2821 2912 2976 3003 3024 3069 3168 3224 3276 3328 3348 3432 3456 3472 3584 3627 3696 3744 3861 3906 3968 4004 4032 4092 4158 4224 4368 4433 4464 4576 4608 4752 4774 4836 4914 4928 4992 5148 5208 5376 5456 5544 5616 5632 5642 5824 5859 5952 6006 6048 6138 6336 6448 6552 6656 6696 6864 6912 6944 7161 7254 7392 7488 7722 7812 7936 8008 8064 8184 8316 8448 8463 8736 8866 8928 9009 9152 9207 9504 9548 9672 9828 9856 9984 10296 10416 10752 10881 10912 11088 11232 11284 11648 11718 11904 12012 12096 12276 12672 12896 13104 13299 13392 13728 13824 13888 14322 14508 14784 14976 15444 15624 15872 16016 16128 16368 16632 16896 16926 17472 17732 17856 18018 18304 18414 19008 19096 19344 19656 19712 19968 20592 20832 21483 21762 21824 22176 22464 22568 23296 23436 23808 24024 24192 24552 25344 25389 25792 26208 26598 26784 27027 27456 27776 28644 29016 29568 29952 30888 31031 31248 32032 32256 32736 33264 33852 34944 35464 35712 36036 36608 36828 38016 38192 38688 39312 39424 39897 41184 41664 42966 43524 43648 44352 44928 45136 46592 46872 47616 48048 48384 49104 50688 50778 51584 52416 53196 53568 54054 54912 55552 57288 58032 59136 59904 61776 62062 62496 64064 64449 65472 66528 67704 69888 70928 71424 72072 73216 73656 76032 76167 76384 77376 78624 79794 82368 83328 85932 87048 87296 88704 89856 90272 93093 93744 96096 96768 98208 101556 103168 104832 106392 107136 108108 109824 111104 114576 116064 118272 119691 123552 124124 124992 128128 128898 130944 133056 135408 139776 141856 142848 144144 147312 152064 152334 152768 154752 157248 159588 164736 166656 171864 174096 174592 177408 179712 180544 186186 187488 192192 196416 203112 206336 209664 212784 214272 216216 219648 229152 232128 239382 247104 248248 249984 256256 257796 261888 266112 270816 279279 283712 288288 294624 304668 305536 309504 314496 319176 329472 333312 343728 348192 354816 361088 372372 374976 384384 392832 406224 419328 425568 428544 432432 458304 464256 478764 494208 496496 499968 512512 515592 523776 532224 541632 558558 567424 576576 589248 609336 611072 619008 628992 638352 658944 687456 696384 722176 744744 749952 768768 785664 812448 837837 851136 864864 916608 928512 957528 988416 992992 999936 1031184 1064448 1083264 1117116 1134848 1153152 1178496 1218672 1222144 1257984 1276704 1374912 1392768 1444352 1489488 1499904 1537536 1571328 1624896 1675674 1702272 1729728 1833216 1857024 1915056 1976832 1985984 2062368 2166528 2234232 2269696 2306304 2356992 2437344 2553408 2749824 2785536 2978976 2999808 3249792 3351348 3404544 3459456 3666432 3830112 3971968 4124736 4333056 4468464 4612608 4713984 4874688 5106816 5499648 5571072 5957952 6499584 6702696 6809088 6918912 7660224 7943936 8249472 8936928 9749376 10213632 10999296 11915904 12999168 13405392 13837824 15320448 15887872 16498944 17873856 19498752 20427264 23831808 26810784 30640896 32997888 35747712 38997504 47663616 53621568 61281792 71495424 107243136 142990848 214486272 428972544
- Sum of all divisors σ(n): 1759887360
- Sum of proper divisors (its aliquot sum) s(n): 1330914816
- 428972544 is an abundant number, because the sum of its proper divisors (1330914816) is greater than itself. Its abundance is 901942272
Bases of 428972544
- Binary: 110011001000110011010000000002
- Hexadecimal: 0x19919A00
- Base-36: 73EDC0
Squares and roots of 428972544
- 428972544 squared (4289725442) is 184017443505831936
- 428972544 cubed (4289725443) is 78938430881073004422365184
-
The
square root of 428972544 is 20711.6523725173 -
The
cube root of 428972544 is 754.1825833025
Scales and comparisons
How big is 428972544?- 428,972,544 seconds is equal to 13 years, 33 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 428,972,544 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 428972544 cubic inches would be around 62.8 feet tall.
Recreational maths with 428972544
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