428999284993752
428,999,284,993,752 is an even composite number composed of seven prime numbers multiplied together.
428999284993752 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 428999284993752:
23 × 33 × 113 × 17 × 293 × 59 × 61
(2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 11 × 17 × 29 × 29 × 29 × 59 × 61)See below for interesting mathematical facts about the number 428999284993752 from the Numbermatics database.
Names of 428999284993752
- Cardinal: 428999284993752 can be written as Four hundred twenty-eight trillion, nine hundred ninety-nine billion, two hundred eighty-four million, nine hundred ninety-three thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 4.28999284993752 × 1014
Factors of 428999284993752
Divisors of 428999284993752
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 17 18 22 24 27 29 33 34 36 44 51 54 58 59 61 66 68 72 87 88 99 102 108 116 118 121 122 132 136 153 174 177 183 187 198 204 216 232 236 242 244 261 264 297 306 319 348 354 363 366 374 396 408 459 472 484 488 493 522 531 549 561 594 612 638 649 671 696 708 726 732 748 783 792 841 918 957 968 986 1003 1037 1044 1062 1089 1098 1122 1188 1224 1276 1298 1331 1342 1416 1452 1464 1479 1496 1566 1593 1647 1682 1683 1711 1769 1836 1914 1947 1972 2006 2013 2057 2074 2088 2124 2178 2196 2244 2376 2523 2552 2596 2662 2684 2871 2904 2958 3009 3111 3132 3186 3267 3294 3364 3366 3422 3509 3538 3599 3672 3828 3894 3944 3993 4012 4026 4114 4148 4248 4356 4392 4437 4488 5046 5049 5133 5192 5307 5324 5368 5423 5742 5841 5916 6018 6039 6171 6222 6264 6372 6534 6588 6728 6732 6844 7018 7076 7139 7198 7381 7569 7656 7788 7986 8024 8052 8228 8296 8613 8712 8874 9027 9251 9333 10092 10098 10266 10527 10614 10648 10797 10846 11033 11407 11484 11682 11832 11979 12036 12078 12342 12444 12744 13068 13176 13311 13464 13688 14036 14152 14278 14297 14396 14762 15138 15399 15576 15921 15972 16104 16269 16456 17226 17523 17748 18054 18117 18502 18513 18666 18821 19459 20184 20196 20532 21054 21228 21417 21594 21692 22066 22143 22627 22707 22814 22968 23364 23958 24072 24156 24389 24684 24888 26136 26622 27081 27753 27999 28072 28556 28594 28792 29087 29524 30073 30276 30798 31581 31842 31944 32391 32538 33099 34221 34452 35046 35496 35937 36108 36234 37004 37026 37332 37642 38599 38918 39589 40392 41064 42108 42456 42834 42891 43188 43384 44132 44286 45254 45414 45628 46197 46728 47763 47916 48312 48778 48807 49368 49619 51301 53244 54162 55506 55539 55998 56463 57112 57188 58174 58377 59048 59653 60146 60552 61183 61596 63162 63684 64251 64782 65076 66198 66429 67881 68442 68904 70092 71874 72216 72468 73167 74008 74052 74664 75284 77198 77836 78529 79178 81191 83259 84216 85668 85782 86376 87261 88264 88572 90219 90508 90828 91256 92394 94743 95526 95832 97173 97556 97614 99238 99297 101761 102602 102663 104371 106488 108324 111012 111078 111996 112926 114376 115797 116348 116754 118767 119306 120292 121363 122366 123192 125477 126324 127368 128502 128673 129564 130152 132396 132858 135762 136884 140184 143748 144936 146334 146421 148104 148857 150568 153903 154396 155672 157058 157267 158356 162382 166518 169389 171336 171564 174522 175131 177144 178959 180438 181016 181656 183549 184788 189486 191052 192753 194346 195112 195228 198476 198594 199287 203522 203643 205204 205326 207031 208742 214049 216648 219501 222024 222156 223992 225852 231594 232696 233508 235587 237534 238612 240584 242726 243573 244732 249777 250954 252648 257004 257346 259128 261783 264792 265716 268279 270657 271524 273768 287496 292668 292842 297714 297891 305283 307806 307989 308792 313113 314116 314534 316712 319957 324764 330803 333036 338778 343128 347391 349044 350262 356301 357918 360876 364089 367098 369576 376431 378972 382104 385506 386019 388692 390456 396952 397188 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1334993 1339713 1346026 1355112 1380247 1385127 1389564 1401048 1413522 1415403 1425204 1431672 1438951 1456356 1461438 1468392 1487729 1505724 1542024 1544076 1570698 1594296 1609674 1610631 1623942 1629144 1637427 1651941 1656248 1658452 1687046 1692933 1712392 1729937 1741916 1744234 1756008 1774307 1786284 1831698 1846836 1863279 1878678 1884696 1887204 1919742 1926441 1948584 1968549 1984818 1998216 2019039 2032668 2084346 2094264 2101572 2120283 2137806 2146232 2147508 2165256 2183236 2184534 2192157 2202588 2238742 2257244 2258586 2277341 2296162 2354539 2383128 2414511 2442264 2443716 2463912 2484372 2487678 2504904 2530569 2559656 2568588 2612874 2616351 2624732 2634012 2646424 2669986 2679426 2692052 2747547 2760494 2770254 2779128 2818017 2827044 2830806 2850408 2877902 2879613 2912712 2922876 2951069 2975458 2977227 3011448 3026759 3088152 3141396 3219348 3221262 3247884 3274854 3276801 3303882 3316904 3358113 3374092 3385866 3387879 3444243 3459874 3483832 3488468 3519527 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3396023598 3418947576 3482363181 3505869972 3534844104 3566316006 3595789692 3612108456 3674386188 3687208074 3704753016 3750780627 3798941652 3830487562 3862144484 3864440646 3960334598 4028616229 4110330312 4178713704 4181198076 4215753432 4320365016 4322933604 4394854068 4397466942 4414799224 4476576561 4490916452 4528031464 4643150908 4701052917 4723205234 4739904594 4755088008 4843509066 4860410643 4916277432 4966649127 5001040836 5007695814 5094035397 5152587528 5283828072 5418162684 5462940888 5511579282 5557129524 5698412478 5745731343 5793216726 5796660969 5863289256 5919844414 5940501897 5968768748 6120517106 6226043263 6268070556 6319872792 6458012088 6480547524 6592281102 6622198836 6676927752 6736374678 6792047196 6964726362 7011739944 7084807851 7132632012 7191579384 7265263599 7348772376 7374416148 7501561254 7511543721 7597883304 7660975124 7724288968 7728881292 7920669196 8057232458 8362396152 8645867208 8689825089 8789708136 8794933884 8879766621 8953153122 8981832904 9180775659 9286301816 9402105834 9446410468 9479809188 9687018132 9720821286 9888421653 9933298254 10002081672 10015391628 10104562017 10188070794 10447089543 10620897331 10836325368 11023158564 11114259048 11396824956 11491462686 11586433452 11593321938 11839688828 11881003794 11937537496 12085848687 12241034212 12452086526 12536141112 12961095048 13184562204 13244397672 13429729683 13472749356 13584094392 13929452724 14169615702 14265264024 14530527198 14748832296 14899947381 15003122508 15023087442 15282106191 15321950248 15457762584 15841338392 16114464916 16414114057 17237194029 17379650178 17589867768 17759533242 17821505691 17906306244 18361551318 18678129789 18804211668 18892820936 18959618376 19374036264 19441642572 19776843306 19866596508 20030783256 20209124034 20376141588 20894179086 21241794662 21254423553 22046317128 22793649912 22982925372 23172866904 23186643876 23679377656 23762007588 24171697374 24482068424 24904173052 26069475267 26369124408 26639299863 26859459366 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106929034146 107437837464 108772638183 110169307908 112068778734 116829870641 119199579048 121254744204 122256849528 125365074516 127450767972 127526541318 130236577108 131312912456 134651376332 136972951786 137897552232 142572045528 145030184244 147727026513 149425038312 159835799178 161156756196 165253961862 168103168101 170035388424 180555254627 191176151958 195354865662 196969368684 201977064498 205459427679 206846328348 208555802136 213114398904 213858068292 217545276366 220338615816 224137557468 233659741282 242509488408 250730149032 254901535944 255053082636 260473154216 269302752664 273945903572 286764227937 290060368488 293032298493 295454053026 302965596747 319671598356 322313512392 330507923724 336206336202 350489611923 361110509254 382352303916 390709731324 393938737368 403954128996 410918855358 413692656696 427716136584 435090552732 443181079539 448275114936 467319482564 510106165272 541665763881 547891807144 573528455874 586064596986 590908106052 605931193494 616378283037 639343196712 661015847448 672412672404 700979223846 722221018508 764704607832 781419462648 807908257992 821837710716 870181105464 879096895479 886362159078 908896790241 934638965128 1051468835769 1083331527762 1147056911748 1172129193972 1181816212104 1211862386988 1232756566074 1344825344808 1401958447692 1444442037016 1624997291643 1643675421432 1758193790958 1772724318156 1817793580482 1849134849111 1986107800897 2102937671538 2166663055524 2294113823496 2344258387944 2423724773976 2465513132148 2803916895384 3154406507307 3249994583286 3516387581916 3545448636312 3635587160964 3698269698222 3972215601794 4205875343076 4333326111048 4874991874929 4931026264296 5958323402691 6308813014614 6499989166572 7032775163832 7271174321928 7396539396444 7944431203588 8411750686152 9749983749858 11916646805382 12617626029228 12999978333144 14793078792888 15888862407176 17874970208073 19499967499716 23833293610764 25235252058456 35749940416146 38999934999432 47666587221528 53624910624219 71499880832292 107249821248438 142999761664584 214499642496876 428999284993752
- Sum of all divisors σ(n): 1485734192640000
- Sum of proper divisors (its aliquot sum) s(n): 1056734907646248
- 428999284993752 is an abundant number, because the sum of its proper divisors (1056734907646248) is greater than itself. Its abundance is 627735622652496
Bases of 428999284993752
- Binary: 11000011000101100001011011111110110101110110110002
- Hexadecimal: 0x1862C2DFDAED8
- Base-36: 482FJTUO60
Squares and roots of 428999284993752
- 428999284993752 squared (4289992849937522) is 184040386525150449934679037504
- 428999284993752 cubed (4289992849937523) is 78953194229263293204396463782512310013675008
-
The
square root of 428999284993752 is 20712297.9167873113 -
The
cube root of 428999284993752 is 75419.8254214277
Scales and comparisons
How big is 428999284993752?- 428,999,284,993,752 seconds is equal to 13,640,850 years, 14 weeks, 4 days, 5 hours, 49 minutes, 12 seconds.
-
To count from 1 to 428,999,284,993,752 would take you about thirty-four million, one hundred two thousand, one hundred twenty-five 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 428999284993752 cubic inches would be around 6285 feet tall.
Recreational maths with 428999284993752
- 428999284993752 backwards is 257399482999824
- The number of decimal digits it has is: 15
- The sum of 428999284993752's digits is 90
- More coming soon!
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MLA style:
"Number 428999284993752 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 428999284993752 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/428999284993752/
Chicago style:
Numbermatics. 2024. "Number 428999284993752 - Facts about the integer". https://numbermatics.com/n/428999284993752/
The information we have on file for 428999284993752 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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