428942397391200
428,942,397,391,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428942397391200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
428942397391200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 428942397391200:
25 × 32 × 52 × 7 × 11 × 1741 × 444403
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 1741 × 444403)See below for interesting mathematical facts about the number 428942397391200 from the Numbermatics database.
Names of 428942397391200
- Cardinal: 428942397391200 can be written as Four hundred twenty-eight trillion, nine hundred forty-two billion, three hundred ninety-seven million, three hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.289423973912 × 1014
Factors of 428942397391200
Divisors of 428942397391200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 126 132 140 144 150 154 160 165 168 175 176 180 198 200 210 220 224 225 231 240 252 264 275 280 288 300 308 315 330 336 350 352 360 385 396 400 420 440 450 462 480 495 504 525 528 550 560 600 616 630 660 672 693 700 720 770 792 800 825 840 880 900 924 990 1008 1050 1056 1100 1120 1155 1200 1232 1260 1320 1386 1400 1440 1540 1575 1584 1650 1680 1741 1760 1800 1848 1925 1980 2016 2100 2200 2310 2400 2464 2475 2520 2640 2772 2800 3080 3150 3168 3300 3360 3465 3482 3600 3696 3850 3960 4200 4400 4620 4950 5040 5223 5280 5544 5600 5775 6160 6300 6600 6930 6964 7200 7392 7700 7920 8400 8705 8800 9240 9900 10080 10446 11088 11550 12187 12320 12600 13200 13860 13928 15400 15669 15840 16800 17325 17410 18480 19151 19800 20892 22176 23100 24374 25200 26115 26400 27720 27856 30800 31338 34650 34820 36561 36960 38302 39600 41784 43525 46200 48748 50400 52230 55440 55712 57453 60935 61600 62676 69300 69640 73122 76604 78345 79200 83568 87050 92400 95755 97496 104460 109683 110880 114906 121870 125352 130575 134057 138600 139280 146244 153208 156690 167136 172359 174100 182805 184800 191510 194992 208920 219366 229812 243740 250704 261150 268114 277200 278560 287265 292488 304675 306416 313380 344718 348200 365610 383020 389984 391725 402171 417840 438732 444403 459624 478775 487480 501408 522300 536228 548415 554400 574530 584976 609350 612832 626760 670285 689436 696400 731220 766040 783450 804342 835680 861795 877464 888806 914025 919248 957550 974960 1044600 1072456 1096830 1149060 1169952 1206513 1218700 1253520 1333209 1340570 1378872 1392800 1436325 1462440 1532080 1566900 1608684 1723590 1754928 1777612 1828050 1838496 1915100 1949920 2010855 2089200 2144912 2193660 2222015 2298120 2413026 2437400 2507040 2666418 2681140 2742075 2757744 2872650 2924880 3064160 3110821 3133800 3217368 3351425 3447180 3509856 3555224 3656100 3830200 3999627 4021710 4178400 4289824 4308975 4387320 4444030 4596240 4826052 4874800 4888433 5332836 5362280 5484150 5515488 5745300 5849760 6032565 6221642 6267600 6434736 6666045 6702850 6894360 7110448 7312200 7660400 7999254 8043420 8617950 8774640 8888060 9192480 9332463 9652104 9749600 9776866 10054275 10665672 10724560 10968300 11110075 11490600 12065130 12443284 12535200 12869472 13332090 13405700 13788720 14220896 14624400 14665299 15320800 15554105 15998508 16086840 17235900 17549280 17776120 18664926 19304208 19553732 19998135 20108550 21331344 21449120 21936600 22220150 22981200 24130260 24442165 24886568 26664180 26811400 27577440 27997389 29248800 29330598 30162825 31108210 31997016 32173680 33330225 34219031 34471800 35552240 37329852 38608416 39107464 39996270 40217100 42662688 43873200 43995897 44440300 45962400 46662315 48260520 48884330 49773136 53328360 53622800 55994778 58661196 60325650 62216420 63994032 64347360 66660450 68438062 68943600 71104480 73326495 74659704 77770525 78214928 79992540 80434200 87746400 87991794 88880600 93324630 96521040 97768660 99546272 99990675 102657093 106656720 107245600 111989556 117322392 120651300 122210825 124432840 127988064 133320900 136876124 137887200 139986945 146652990 149319408 155541050 156429856 159985080 160868400 171095155 175983588 177761200 186649260 193042080 195537320 199981350 205314186 213313440 219979485 223979112 233311575 234644784 241302600 244421650 248865680 266641800 273752248 279973890 293305980 298638816 307971279 311082100 319970160 321736800 342190310 351967176 355522400 366632475 373298520 391074640 399962700 410628372 439958970 447958224 466623150 469289568 482605200 488843300 497731360 513285465 533283600 547504496 559947780 586611960 615942558 622164200 639940320 684380620 699934725 703934352 733264950 746597040 773705623 782149280 799925400 821256744 855475775 879917940 895916448 933246300 965210400 977686600 1026570930 1066567200 1095008992 1099897425 1119895560 1173223920 1231885116 1244328400 1368761240 1399869450 1407868704 1466529900 1493194080 1539856395 1547411246 1599850800 1642513488 1710951550 1759835880 1866492600 1955373200 2053141860 2199794850 2239791120 2321116869 2346447840 2463770232 2488656800 2566427325 2737522480 2799738900 2933059800 3079712790 3094822492 3199701600 3285026976 3421903100 3519671760 3732985200 3868528115 3910746400 4106283720 4399589700 4479582240 4642233738 4927540464 5132854650 5415939361 5475044960 5599477800 5866119600 6159425580 6189644984 6843806200 6963350607 7039343520 7465970400 7699281975 7737056230 8212567440 8510761853 8799179400 9284467476 9855080928 10265709300 10831878722 11198955600 11605584345 11732239200 12318851160 12379289968 13687612400 13926701214 15398563950 15474112460 16247818083 16425134880 17021523706 17598358800 18568934952 19342640575 20531418600 21663757444 22397911200 23211168690 24637702320 24758579936 25532285559 27079696805 27375224800 27853402428 30797127900 30948224920 32495636166 34043047412 34816753035 35196717600 37137869904 38685281150 41062837200 42553809265 43327514888 46422337380 48743454249 49275404640 51064571118 54159393610 55706804856 58027921725 59575332971 61594255800 61896449840 64991272332 68086094824 69633506070 74275739808 76596856677 77370562300 81239090415 82125674400 85107618530 86655029776 92844674760 97486908498 102129142236 108318787220 111413609712 116055843450 119150665942 123188511600 123792899680 127661427795 129982544664 135398484025 136172189648 139267012140 153193713354 154741124600 162478180830 170215237060 173310059552 174083765175 178725998913 185689349520 194973816996 204258284472 212769046325 216637574440 222827219424 232111686900 238301331884 243717271245 246377023200 255322855590 259965089328 270796968050 272344379296 278534024280 297876664855 306387426708 309482249200 324956361660 340430474120 348167530350 357451997826 371378699040 382984283385 389947633992 406195452075 408516568944 425538092650 433275148880 464223373800 476602663768 487434542490 510645711180 519930178656 536177996739 541593936100 557068048560 595753329710 612774853416 618964498400 638307138975 649912723320 680860948240 696335060700 714903995652 765968566770 779895267984 812390904150 817033137888 851076185300 866550297760 893629994565 928446747600 953205327536 974869084980 1021291422360 1072355993478 1083187872200 1114136097120 1191506659420 1218586356225 1225549706832 1276614277950 1299825446640 1361721896480 1392670121400 1429807991304 1489383324275 1531937133540 1559790535968 1624781808300 1702152370600 1787259989130 1856893495200 1906410655072 1914921416925 1949738169960 2042582844720 2144711986956 2166375744400 2383013318840 2437172712450 2451099413664 2553228555900 2599650893280 2680889983695 2785340242800 2859615982608 2978766648550 3063874267080 3249563616600 3404304741200 3574519978260 3829842833850 3899476339920 4085165689440 4289423973912 4332751488800 4468149972825 4766026637680 4874345424900 5106457111800 5361779967390 5570680485600 5719231965216 5957533297100 6127748534160 6499127233200 6808609482400 7149039956520 7659685667700 7798952679840 8578847947824 8936299945650 9532053275360 9748690849800 10212914223600 10723559934780 11915066594200 12255497068320 12998254466400 13404449918475 14298079913040 15319371335400 17157695895648 17872599891300 19497381699600 20425828447200 21447119869560 23830133188400 26808899836950 28596159826080 30638742670800 35745199782600 38994763399200 42894239739120 47660266376800 53617799673900 61277485341600 71490399565200 85788479478240 107235599347800 142980799130400 214471198695600 428942397391200
- Sum of all divisors σ(n): 1886874166824192
- Sum of proper divisors (its aliquot sum) s(n): 1457931769432992
- 428942397391200 is an abundant number, because the sum of its proper divisors (1457931769432992) is greater than itself. Its abundance is 1028989372041792
Bases of 428942397391200
- Binary: 11000011000011110111011110011100111000001011000002
- Hexadecimal: 0x1861EEF39C160
- Base-36: 481PF0FX40
Squares and roots of 428942397391200
- 428942397391200 squared (4289423973912002) is 183991580279710140565837440000
- 428942397391200 cubed (4289423973912003) is 78921789544974304364939854815299286528000000
-
The
square root of 428942397391200 is 20710924.5904474289 -
The
cube root of 428942397391200 is 75416.4915831497
Scales and comparisons
How big is 428942397391200?- 428,942,397,391,200 seconds is equal to 13,639,041 years, 22 weeks, 2 days, 22 hours.
-
To count from 1 to 428,942,397,391,200 would take you about thirty-four million, ninety-seven thousand, six hundred three 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 428942397391200 cubic inches would be around 6284.7 feet tall.
Recreational maths with 428942397391200
- 428942397391200 backwards is 002193793249824
- 428942397391200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428942397391200's digits is 63
- More coming soon!
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The information we have on file for 428942397391200 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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