428720688
428,720,688 is an even composite number composed of six prime numbers multiplied together.
428720688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 428720688:
24 × 34 × 11 × 17 × 29 × 61
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 17 × 29 × 61)See below for interesting mathematical facts about the number 428720688 from the Numbermatics database.
Names of 428720688
- Cardinal: 428720688 can be written as Four hundred twenty-eight million, seven hundred twenty thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.28720688 × 108
Factors of 428720688
Divisors of 428720688
- Number of divisors d(n): 400
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 29 33 34 36 44 48 51 54 58 61 66 68 72 81 87 88 99 102 108 116 122 132 136 144 153 162 174 176 183 187 198 204 216 232 244 261 264 272 297 306 319 324 348 366 374 396 408 432 459 464 488 493 522 528 549 561 594 612 638 648 671 696 732 748 783 792 816 891 918 957 976 986 1037 1044 1098 1122 1188 1224 1276 1296 1342 1377 1392 1464 1479 1496 1566 1584 1647 1683 1769 1782 1836 1914 1972 2013 2074 2088 2196 2244 2349 2376 2448 2552 2684 2754 2871 2928 2958 2992 3111 3132 3294 3366 3538 3564 3672 3828 3944 4026 4148 4176 4392 4437 4488 4698 4752 4941 5049 5104 5307 5368 5423 5508 5742 5916 6039 6222 6264 6588 6732 7076 7128 7344 7656 7888 8052 8296 8613 8784 8874 8976 9333 9396 9882 10098 10614 10736 10846 11016 11407 11484 11832 12078 12444 12528 13176 13311 13464 14152 14256 15147 15312 15921 16104 16269 16592 17226 17748 18117 18666 18792 19459 19764 20196 21228 21692 22032 22814 22968 23664 24156 24888 25839 26352 26622 26928 27999 28304 30073 30294 31842 32208 32538 34221 34452 35496 36234 37332 37584 38918 39528 39933 40392 42456 43384 45628 45936 47763 48312 48807 49776 51678 53244 54351 55998 58377 60146 60588 63684 65076 68442 68904 70992 72468 74664 77836 79056 79866 80784 83997 84912 86768 90219 91256 95526 96624 97614 102663 103356 106488 108702 111996 116754 120292 121176 127368 130152 136884 137808 143289 144936 146421 149328 155672 159732 167994 175131 180438 182512 191052 195228 205326 206712 212976 217404 223992 233508 240584 242352 254736 260304 270657 273768 286578 289872 292842 307989 311344 319464 330803 335988 350262 360876 382104 390456 410652 413424 434808 439263 447984 467016 481168 525393 541314 547536 573156 585684 615978 638928 661606 671976 700524 721752 764208 780912 811971 821304 869616 878526 923967 934032 992409 1050786 1082628 1146312 1171368 1231956 1323212 1343952 1401048 1443504 1576179 1623942 1642608 1757052 1847934 1984818 2101572 2165256 2292624 2342736 2435913 2463912 2646424 2802096 2977227 3152358 3247884 3514104 3695868 3969636 4203144 4330512 4871826 4927824 5292848 5954454 6304716 6495768 7028208 7391736 7939272 8406288 8931681 9743652 11908908 12609432 12991536 14783472 15878544 17863362 19487304 23817816 25218864 26795043 35726724 38974608 47635632 53590086 71453448 107180172 142906896 214360344 428720688
- Sum of all divisors σ(n): 1507001760
- Sum of proper divisors (its aliquot sum) s(n): 1078281072
- 428720688 is an abundant number, because the sum of its proper divisors (1078281072) is greater than itself. Its abundance is 649560384
Bases of 428720688
- Binary: 110011000110111000010001100002
- Hexadecimal: 0x198DC230
- Base-36: 738Z00
Squares and roots of 428720688
- 428720688 squared (4287206882) is 183801428319193344
- 428720688 cubed (4287206883) is 78799474804387254044700672
-
The
square root of 428720688 is 20705.5714241359 -
The
cube root of 428720688 is 754.0349572313
Scales and comparisons
How big is 428720688?- 428,720,688 seconds is equal to 13 years, 32 weeks, 6 days, 1 hour, 4 minutes, 48 seconds.
-
To count from 1 to 428,720,688 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 428720688 cubic inches would be around 62.8 feet tall.
Recreational maths with 428720688
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