438225630030226368
438,225,630,030,226,368 is an even composite number composed of five prime numbers multiplied together.
What does the number 438225630030226368 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1764 divisors.
438225630030226368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 438225630030226368:
26 × 36 × 115 × 53 × 10492
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 11 × 53 × 1049 × 1049)See below for interesting mathematical facts about the number 438225630030226368 from the Numbermatics database.
Names of 438225630030226368
- Cardinal: 438225630030226368 can be written as Four hundred thirty-eight quadrillion, two hundred twenty-five trillion, six hundred thirty billion, thirty million, two hundred twenty-six thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 4.38225630030226368 × 1017
Factors of 438225630030226368
Divisors of 438225630030226368
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 53 54 64 66 72 81 88 96 99 106 108 121 132 144 159 162 176 192 198 212 216 242 243 264 288 297 318 324 352 363 396 424 432 477 484 486 528 576 583 594 636 648 704 726 729 792 848 864 891 954 968 972 1049 1056 1089 1166 1188 1272 1296 1331 1431 1452 1458 1584 1696 1728 1749 1782 1908 1936 1944 2098 2112 2178 2332 2376 2544 2592 2662 2673 2862 2904 2916 3147 3168 3267 3392 3498 3564 3816 3872 3888 3993 4196 4293 4356 4664 4752 5088 5184 5247 5324 5346 5724 5808 5832 6294 6336 6413 6534 6996 7128 7632 7744 7776 7986 8019 8392 8586 8712 9328 9441 9504 9801 10176 10494 10648 10692 11448 11539 11616 11664 11979 12588 12826 12879 13068 13992 14256 14641 15264 15552 15741 15972 16038 16784 17172 17424 18656 18882 19008 19239 19602 20988 21296 21384 22896 23078 23232 23328 23958 25176 25652 25758 26136 27984 28323 28512 29282 29403 30528 31482 31944 32076 33568 34344 34617 34848 35937 37312 37764 38478 38637 39204 41976 42592 42768 43923 45792 46156 46656 47223 47916 50352 51304 51516 52272 55597 55968 56646 57024 57717 58564 58806 62964 63888 64152 67136 68688 69234 69696 70543 71874 75528 76956 77274 78408 83952 84969 85184 85536 87846 88209 91584 92312 94446 95832 100704 102608 103032 103851 104544 107811 111194 111936 113292 115434 117128 117612 125928 126929 127776 128304 131769 137376 138468 141086 141669 143748 151056 153912 154548 156816 161051 166791 167904 169938 171072 173151 175692 176418 184624 188892 191664 201408 205216 206064 207702 209088 211629 215622 222388 226584 230868 234256 235224 251856 253858 254907 255552 256608 263538 274752 276936 282172 283338 287496 302112 307824 309096 311553 313632 322102 323433 333582 335808 339876 346302 351384 352836 369248 377784 380787 383328 395307 410432 412128 415404 423258 425007 431244 444776 453168 461736 468512 470448 483153 500373 503712 507716 509814 513216 519453 527076 553872 564344 566676 574992 604224 611567 615648 618192 623106 627264 634887 644204 646866 667164 679752 692604 702768 705672 738496 755568 761574 764721 766656 775973 790614 824256 830808 846516 850014 862488 889552 906336 923472 934659 937024 940896 966306 970299 1000746 1007424 1015432 1019628 1038906 1054152 1100401 1107744 1128688 1133352 1142361 1149984 1185921 1223134 1231296 1236384 1246212 1269774 1288408 1293732 1334328 1359504 1385208 1396219 1405536 1411344 1449459 1501119 1511136 1523148 1529442 1551946 1558359 1581228 1661616 1693032 1700028 1724976 1779104 1812672 1834701 1846944 1869318 1881792 1904661 1932612 1940598 2001492 2030864 2039256 2077812 2108304 2200802 2215488 2257376 2266704 2284722 2299968 2327919 2371842 2446268 2472768 2492424 2539548 2576816 2587464 2668656 2719008 2770416 2792438 2803977 2811072 2822688 2898918 3002238 3022272 3046296 3058884 3103892 3116718 3162456 3301203 3323232 3386064 3400056 3427083 3449952 3557763 3558208 3669402 3693888 3738636 3809322 3865224 3881196 4002984 4061728 4078512 4155624 4188657 4216608 4348377 4401604 4503357 4514752 4533408 4569444 4655838 4675077 4743684 4892536 4984848 5079096 5153632 5174928 5337312 5438016 5504103 5540832 5584876 5607954 5645376 5713983 5797836 6004476 6092592 6117768 6207784 6233436 6324912 6602406 6646464 6727237 6772128 6800112 6854166 6899904 6983757 7115526 7338804 7477272 7618644 7730448 7762392 8005968 8123456 8157024 8311248 8377314 8411931 8433216 8535703 8696754 8803208 9006714 9066816 9138888 9311676 9350154 9487368 9785072 9903609 9969696 10158192 10281249 10307264 10349856 10673289 10674624 11008206 11081664 11169752 11215908 11427966 11595672 12008952 12104411 12185184 12235536 12415568 12466872 12565971 12649824 13045131 13204812 13454474 13510071 13544256 13600224 13708332 13967514 14231052 14677608 14954544 15237288 15358409 15460896 15524784 16011936 16314048 16512309 16622496 16754628 16823862 17071406 17141949 17393508 17606416 18013428 18277776 18623352 18700308 18974736 19570144 19807218 19939392 20181711 20316384 20562498 20699712 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762142134204 773326609968 776522174472 791203798044 831427782768 843629029056 853881465173 859579434912 863131416048 869992436214 875797914816 907012126656 931507052916 935356255614 949082657688 967026864276 985272654168 1016189512272 1031102146624 1035362899296 1054938397392 1063324088706 1067717989899 1108570377024 1143213201306 1150841888064 1159989914952 1186805697066 1242009403888 1247141674152 1265443543584 1289369152368 1304988654321 1313696872224 1354919349696 1360518189984 1397260579374 1406584529856 1417765451608 1423623986532 1450540296414 1524284268408 1546653219936 1553044348944 1582407596088 1594986133059 1662855565536 1707762930346 1714819801959 1719158869824 1726262832096 1739984872428 1863014105832 1870712511228 1898165315376 1934053728552 1970545308336 2032379024544 2070725798592 2095890869061 2109876794784 2126648177412 2135435979798 2175810444621 2286426402612 2319979829904 2373611394132 2484018807776 2494283348304 2530887087168 2561644395519 2578738304736 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10439909234568 11178084634992 11342123612864 11388991892256 11604322371312 11744897888889 12194274147264 12575345214366 12659260768704 12759889064472 13054862667726 13662103442768 13718558415672 13919878979424 14354875197531 14904112846656 14965700089824 15369866373114 15472429828416 15659863851852 16767126952488 17013185419296 17083487838384 17406483556968 18291411220896 18785392233806 18863017821549 18988891153056 19139833596708 20493155164152 20577837623508 20879818469136 22356169269984 22777983784512 23054799559671 23208644742624 23489795777778 25150690428732 25519778128944 26109725335452 27324206885536 27437116831344 27839757958848 28178088350709 28709750395062 29931400179648 30739732746228 31319727703704 33534253904976 34026370838592 34166975676768 34812967113936 36582822441792 37570784467612 37726035643098 37977782306112 38279667193416 40986310328304 41155675247016 41759636938272 43064625592593 44712338539968 46109599119342 46417289485248 46979591555556 50301380857464 51039556257888 52219450670904 54648413771072 54874233662688 56356176701418 56589053464647 57419500790124 61479465492456 62639455407408 67068507809952 68333951353536 69164398679013 69625934227872 75141568935224 75452071286196 76559334386832 81972620656608 82311350494032 83519273876544 84534265052127 86129251185186 92219198238684 93959183111112 100602761714928 102079112515776 104438901341808 109748467325376 112712353402836 113178106929294 114839001580248 122958930984912 125278910814816 129193876777779 134137015619904 138328797358026 139251868455744 150283137870448 150904142572392 153118668773664 163945241313216 164622700988064 169068530104254 172258502370372 184438396477368 187918366222224 201205523429856 207493196037039 208877802683616 225424706805672 226356213858588 229678003160496 245917861969824 250557821629632 253602795156381 258387753555558 276657594716052 300566275740896 301808285144784 306237337547328 329245401976128 338137060208508 344517004740744 368876792954736 375836732444448 402411046859712 414986392074078 417755605367232 450849413611344 452712427717176 459356006320992 491835723939648 507205590312762 516775507111116 553315189432104 601132551481792 603616570289568 622479588111117 676274120417016 689034009481488 737753585909472 751673464888896 760808385469143 829972784148156 901698827222688 905424855434352 918712012641984 1014411180625524 1033551014222232 1106630378864208 1207233140579136 1244959176222234 1352548240834032 1378068018962976 1475507171818944 1521616770938286 1659945568296312 1803397654445376 1810849710868704 2028822361251048 2067102028444464 2213260757728416 2282425156407429 2489918352444468 2705096481668064 2756136037925952 3043233541876572 3319891136592624 3621699421737408 4057644722502096 4134204056888928 4426521515456832 4564850312814858 4979836704888936 5410192963336128 6086467083753144 6639782273185248 6847275469222287 8115289445004192 8268408113777856 9129700625629716 9959673409777872 12172934167506288 13279564546370496 13694550938444574 16230578890008384 18259401251259432 19919346819555744 24345868335012576 27389101876889148 36518802502518864 39838693639111488 48691736670025152 54778203753778296 73037605005037728 109556407507556592 146075210010075456 219112815015113184 438225630030226368
- Sum of all divisors σ(n): 1462644189053984664
- Sum of proper divisors (its aliquot sum) s(n): 1024418559023758296
- 438225630030226368 is an abundant number, because the sum of its proper divisors (1024418559023758296) is greater than itself. Its abundance is 586192928993531928
Bases of 438225630030226368
- Binary: 110000101001110001111100011100000010110110001100011110000002
- Hexadecimal: 0x614E3E3816C63C0
- Base-36: 3BUY0R7HJ000
Squares and roots of 438225630030226368
- 438225630030226368 squared (4382256300302263682) is 192041702815388838319737313322471424
- 438225630030226368 cubed (4382256300302263683) is 84157596208351270548279604655392314635213443931308032
-
The
square root of 438225630030226368 is 661986125.2550738831 -
The
cube root of 438225630030226368 is 759566.7140303683
Scales and comparisons
How big is 438225630030226368?- 438,225,630,030,226,368 seconds is equal to 13,934,219,514 years, 4 weeks, 3 days, 14 hours, 52 minutes, 48 seconds.
-
To count from 1 to 438,225,630,030,226,368 would take you about forty-one billion, eight hundred two million, six hundred fifty-eight thousand, five hundred forty-two 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 438225630030226368 cubic inches would be around 63297.2 feet tall.
Recreational maths with 438225630030226368
- 438225630030226368 backwards is 863622030036522834
- The number of decimal digits it has is: 18
- The sum of 438225630030226368's digits is 63
- More coming soon!
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The information we have on file for 438225630030226368 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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