428528331077264
428,528,331,077,264 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428528331077264 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 640 divisors.
428528331077264 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 428528331077264:
24 × 113 × 37 × 61 × 113 × 257 × 307
(2 × 2 × 2 × 2 × 11 × 11 × 11 × 37 × 61 × 113 × 257 × 307)See below for interesting mathematical facts about the number 428528331077264 from the Numbermatics database.
Names of 428528331077264
- Cardinal: 428528331077264 can be written as Four hundred twenty-eight trillion, five hundred twenty-eight billion, three hundred thirty-one million, seventy-seven thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 4.28528331077264 × 1014
Factors of 428528331077264
Divisors of 428528331077264
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 8 11 16 22 37 44 61 74 88 113 121 122 148 176 226 242 244 257 296 307 407 452 484 488 514 592 614 671 814 904 968 976 1028 1228 1243 1331 1342 1628 1808 1936 2056 2257 2456 2486 2662 2684 2827 3256 3377 4112 4181 4477 4514 4912 4972 5324 5368 5654 6512 6754 6893 7381 8362 8954 9028 9509 9944 10648 10736 11308 11359 13508 13673 13786 14762 15677 16724 17908 18056 18727 19018 19888 21296 22616 22718 24827 27016 27346 27572 29041 29524 31097 31354 33448 34691 35816 36112 37147 37454 38036 45232 45436 45991 49247 49654 54032 54692 55144 58082 59048 62194 62708 66896 69382 71632 74294 74908 75823 76072 78899 81191 90872 91982 98494 99308 104599 109384 110288 116164 118096 124388 124949 125416 138764 148588 149816 150403 151646 152144 157798 162382 172447 181744 183964 196988 198616 205997 209198 218768 232328 248776 249898 250832 255041 273097 277528 297176 299632 300806 303292 315596 319451 324764 342067 344894 367928 381601 393976 397232 408617 411994 418396 464656 497552 499796 505901 510082 546194 555056 580049 594352 601612 606584 631192 638902 649528 684134 689788 692899 735856 763202 787952 817234 823988 834053 836792 867889 999592 1011802 1020164 1074517 1092388 1150589 1160098 1203224 1213168 1262384 1277804 1283567 1299056 1368268 1374439 1379576 1385798 1526404 1634468 1647976 1668106 1673584 1735778 1771501 1896917 1999184 2023604 2040328 2116151 2149034 2184776 2265967 2301178 2320196 2406448 2555608 2567134 2736536 2748878 2759152 2771596 2805451 2919263 3004067 3052808 3268936 3295952 3336212 3471556 3513961 3543002 3793834 4047208 4080656 4197611 4232302 4298068 4369552 4531934 4602356 4640392 4812839 5111216 5134268 5473072 5497756 5543192 5564911 5610902 5838526 6008134 6105616 6380539 6537872 6672424 6943112 7027922 7086004 7587668 7621889 8094416 8395222 8464604 8596136 8915587 9063868 9174583 9204712 9280784 9546779 9625678 10268536 10995512 11086384 11129822 11221804 11677052 11819687 12016268 12656479 12761078 13344848 13886224 14055844 14119237 14172008 15118829 15175336 15243778 16790444 16929208 17192272 17831174 18127736 18349166 18409424 19093558 19251356 19486511 20537072 20866087 21991024 22259644 22443608 23277661 23354104 23639374 24032536 24925637 25312958 25522156 28111688 28238474 28344016 30237658 30350672 30487556 30859961 32111893 33580888 33858416 35662348 36255472 36698332 38187116 38502712 38653571 38973022 41732174 44519288 44887216 46173721 46555322 46708208 47278748 48065072 49851274 50625916 51044312 52941229 56223376 56476948 60475316 60975112 61719922 64223786 65545537 67161776 70185929 71324696 73396664 76374232 77005424 77307142 77946044 78297587 83464348 83840779 89038576 92347442 93110644 94557496 98071457 99702548 101251832 102088624 105014569 105882458 112953896 120950632 121950224 123439844 128447572 130016557 131091074 140371858 142649392 146793328 152748464 154614284 155311607 155892088 156595174 166928696 167681558 178075043 184694884 186221288 189114992 196142914 199405096 202503664 210029138 211764916 214351621 225907792 241901264 246879688 256054271 256895144 260033114 262182148 280743716 309228568 310623214 311784176 313190348 329876719 333857392 335363116 339459571 353230823 356150086 369389768 372442576 392285828 398810192 420058276 423529832 428703242 493759376 512108542 513790288 520066228 524364296 543850807 561487432 582353519 618457136 621246428 626380696 659753438 670726232 678919142 706461646 712300172 721000907 738779536 772045219 784571656 840116552 847059664 857406484 861273457 922248569 1024217084 1040132456 1048728592 1078786027 1087701614 1122974864 1164707038 1242492856 1252761392 1319506876 1341452464 1357838284 1412923292 1424600344 1430182127 1442001814 1544090438 1569143312 1680233104 1708427677 1714812968 1722546914 1844497138 1958825473 2048434168 2080264912 2157572054 2175403228 2329414076 2357867831 2484985712 2639013752 2715676568 2816596981 2825846584 2849200688 2860364254 2884003628 3088180876 3416855354 3429625936 3445093828 3628643909 3688994276 3885539053 3917650946 4096868336 4315144108 4350806456 4658828152 4715735662 5278027504 5431353136 5633193962 5651693168 5720728508 5768007256 5982358877 6176361752 6405888709 6833710708 6890187656 7257287818 7377988552 7771078106 7835301892 7931009977 8630288216 8701612912 9317656304 9431471324 9474008027 11266387924 11441457016 11536014512 11866646297 11964717754 12352723504 12811777418 13667421416 13780375312 14514575636 14755977104 15542156212 15670603784 15862019954 17260576432 18862942648 18948016054 20122479859 21547080203 22532775848 22882914032 23733292594 23929435508 25623554836 27334842832 29029151272 31084312424 31341207568 31724039908 37725885296 37896032108 39915082999 40244959718 43094160406 45065551696 47466585188 47858871016 51247109672 58058302544 62168624848 63448079816 65805947647 75792064216 79830165998 80489919436 86188320812 87241109747 94933170376 95717742032 102494219344 104214088297 126896159632 131611895294 151584128432 159660331996 160979838872 172376641624 174482219494 189866340752 208428176594 221347278449 237017882233 263223790588 319320663992 321959677744 344753283248 348964438988 416856353188 439065912989 442694556898 474035764466 526447581176 638641327984 697928877976 723865424117 833712706376 878131825978 885389113796 948071528932 1052895162352 1395857755952 1447730848234 1667425412752 1756263651956 1770778227592 1896143057864 2434820062939 2895461696468 3512527303912 3541556455184 3792286115728 4869640125878 5790923392936 7025054607824 9739280251756 11581846785872 19478560503512 26783020692329 38957121007024 53566041384658 107132082769316 214264165538632 428528331077264
- Sum of all divisors σ(n): 968619773366784
- Sum of proper divisors (its aliquot sum) s(n): 540091442289520
- 428528331077264 is an abundant number, because the sum of its proper divisors (540091442289520) is greater than itself. Its abundance is 111563111212256
Bases of 428528331077264
- Binary: 11000010110111110100001101111001100110110100100002
- Hexadecimal: 0x185BE86F33690
- Base-36: 47WF741SI8
Squares and roots of 428528331077264
- 428528331077264 squared (4285283310772642) is 183636530535865186938737725696
- 428528331077264 cubed (4285283310772643) is 78693455955353337095183364642877325014175744
-
The
square root of 428528331077264 is 20700925.8507261941 -
The
cube root of 428528331077264 is 75392.2167757729
Scales and comparisons
How big is 428528331077264?- 428,528,331,077,264 seconds is equal to 13,625,875 years, 20 weeks, 6 days, 17 hours, 27 minutes, 44 seconds.
-
To count from 1 to 428,528,331,077,264 would take you about thirty-four million, sixty-four thousand, six hundred eighty-eight 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 428528331077264 cubic inches would be around 6282.7 feet tall.
Recreational maths with 428528331077264
- 428528331077264 backwards is 462770133825824
- The number of decimal digits it has is: 15
- The sum of 428528331077264's digits is 62
- More coming soon!
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The information we have on file for 428528331077264 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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