328993180747825152

Names of 328993180747825152

• Cardinal: 328993180747825152 can be written as Three hundred twenty-eight quadrillion, nine hundred ninety-three trillion, one hundred eighty billion, seven hundred forty-seven million, eight hundred twenty-five thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 3.28993180747825152 × 10¹⁷

Factors of 328993180747825152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 33
• Sum of prime factors: 186

Divisors of 328993180747825152

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 149 152 156 192 208 228 247 256 298 304 312 384 416 447 456 494 512 596 608 624 741 768 832 894 912 988 1024 1192 1216 1248 1482 1536 1664 1788 1824 1937 1976 2048 2384 2432 2496 2831 2964 3072 3328 3576 3648 3874 3952 4096 4768 4864 4992 5662 5811 5928 6144 6656 7152 7296 7748 7904 8192 8493 9536 9728 9984 11324 11622 11856 12288 13312 14304 14592 15496 15808 16384 16986 19072 19456 19968 22201 22648 23244 23712 24576 26624 28608 29184 30992 31616 32768 33972 36803 38144 38912 39936 44402 45296 46488 47424 49152 53248 57216 58368 61984 63232 65536 66603 67944 73606 76288 77824 79872 88804 90592 92976 94848 98304 106496 110409 114432 116736 123968 126464 131072 133206 135888 147212 152576 155648 159744 177608 181184 185952 189696 196608 212992 220818 228864 233472 247936 252928 262144 266412 271776 288613 294424 305152 311296 319488 355216 362368 371904 379392 393216 421819 425984 441636 457728 466944 495872 505856 524288 532824 543552 577226 588848 610304 622592 638976 710432 724736 743808 758784 786432 843638 851968 865839 883272 915456 933888 991744 1011712 1048576 1065648 1087104 1154452 1177696 1220608 1245184 1265457 1277952 1420864 1449472 1487616 1517568 1572864 1687276 1703936 1731678 1766544 1830912 1867776 1983488 2023424 2097152 2131296 2174208 2308904 2355392 2441216 2490368 2530914 2555904 2841728 2898944 2975232 3035136 3145728 3307949 3374552 3407872 3463356 3533088 3661824 3735552 3966976 4046848 4194304 4262592 4348416 4617808 4710784 4882432 4980736 5061828 5111808 5483647 5683456 5797888 5950464 6070272 6291456 6615898 6749104 6815744 6926712 7066176 7323648 7471104 7933952 8093696 8388608 8525184 8696832 9235616 9421568 9764864 9923847 9961472 10123656 10223616 10967294 11366912 11595776 11900928 12140544 12582912 13231796 13498208 13631488 13853424 14132352 14647296 14942208 15867904 16187392 16450941 16777216 17050368 17393664 18471232 18843136 19529728 19847694 19922944 20247312 20447232 21934588 22733824 23191552 23801856 24281088 25165824 26463592 26996416 27262976 27706848 28264704 29294592 29884416 31735808 32374784 32901882 33554432 34100736 34787328 36942464 37686272 39059456 39695388 39845888 40494624 40894464 43003337 43869176 45467648 46383104 47603712 48562176 50331648 52927184 53992832 54525952 55413696 56529408 58589184 59768832 62851031 63471616 64749568 65803764 67108864 68201472 69574656 73884928 75372544 78118912 79390776 79691776 80989248 81788928 86006674 87738352 90935296 92766208 95207424 97124352 100663296 105854368 107985664 109051904 110827392 113058816 117178368 119537664 125702062 126943232 129010011 129499136 131607528 134217728 136402944 139149312 147769856 150745088 156237824 158781552 159383552 161978496 163577856 172013348 175476704 181870592 185532416 188553093 190414848 194248704 201326592 211708736 215971328 218103808 221654784 226117632 234356736 239075328 251404124 253886464 258020022 258998272 263215056 272805888 278298624 295539712 301490176 312475648 317563104 318767104 323956992 327155712 344026696 350953408 363741184 371064832 377106186 380829696 388497408 402653184 423417472 431942656 436207616 443309568 452235264 468713472 478150656 502808248 507772928 516040044 517996544 526430112 545611776 556597248 591079424 602980352 624951296 635126208 637534208 647913984 654311424 688053392 701906816 727482368 742129664 754212372 761659392 776994816 817063403 846834944 863885312 872415232 886619136 904470528 937426944 956301312 1005616496 1015545856 1032080088 1035993088 1052860224 1091223552 1113194496 1182158848 1205960704 1249902592 1270252416 1275068416 1295827968 1308622848 1376106784 1403813632 1454964736 1484259328 1508424744 1523318784 1553989632 1634126806 1693669888 1727770624 1744830464 1773238272 1808941056 1874853888 1912602624 2011232992 2031091712 2064160176 2071986176 2105720448 2182447104 2226388992 2364317696 2411921408 2451190209 2499805184 2540504832 2550136832 2591655936 2617245696 2752213568 2807627264 2909929472 2968518656 3016849488 3046637568 3107979264 3268253612 3387339776 3455541248 3546476544 3617882112 3749707776 3825205248 4022465984 4062183424 4128320352 4143972352 4211440896 4364894208 4452777984 4728635392 4823842816 4902380418 4999610368 5081009664 5183311872 5234491392 5504427136 5615254528 5819858944 5937037312 6033698976 6093275136 6215958528 6536507224 6774679552 6911082496 7092953088 7235764224 7499415552 7650410496 8044931968 8124366848 8256640704 8287944704 8422881792 8729788416 8905555968 9457270784 9647685632 9804760836 9999220736 10162019328 10366623744 11008854272 11230509056 11639717888 11874074624 12067397952 12186550272 12431917056 13073014448 13549359104 13822164992 14185906176 14471528448 14998831104 16089863936 16248733696 16513281408 16575889408 16845763584 17459576832 17811111936 18914541568 19295371264 19609521672 19998441472 20324038656 20733247488 22017708544 22461018112 23279435776 23748149248 24134795904 24373100544 24863834112 26146028896 27098718208 27644329984 28371812352 28943056896 29997662208 32179727872 32497467392 33026562816 33151778816 33691527168 34919153664 35622223872 37829083136 38590742528 39219043344 40648077312 41466494976 44035417088 44922036224 46558871552 47496298496 48269591808 48746201088 49727668224 52292057792 54197436416 55288659968 56743624704 57886113792 59995324416 64359455744 64994934784 66053125632 67383054336 69838307328 71244447744 75658166272 77181485056 78438086688 81296154624 82932989952 88070834176 89844072448 93117743104 94992596992 96539183616 97492402176 99455336448 104584115584 108394872832 110577319936 113487249408 115772227584 128718911488 129989869568 132106251264 134766108672 139676614656 142488895488 151316332544 154362970112 156876173376 162592309248 165865979904 176141668352 179688144896 186235486208 189985193984 193078367232 194984804352 209168231168 216789745664 221154639872 226974498816 231544455168 257437822976 259979739136 264212502528 269532217344 279353229312 284977790976 302632665088 308725940224 313752346752 325184618496 331731959808 352283336704 359376289792 372470972416 379970387968 386156734464 389969608704 418336462336 433579491328 442309279744 453948997632 463088910336 514875645952 528425005056 539064434688 558706458624 569955581952 605265330176 617451880448 627504693504 650369236992 663463919616 704566673408 718752579584 744941944832 772313468928 779939217408 836672924672 867158982656 884618559488 907897995264 926177820672 1029751291904 1056850010112 1078128869376 1117412917248 1139911163904 1210530660352 1234903760896 1255009387008 1300738473984 1326927839232 1409133346816 1437505159168 1489883889664 1544626937856 1673345849344 1734317965312 1769237118976 1815795990528 1852355641344 2059502583808 2113700020224 2156257738752 2234825834496 2421061320704 2469807521792 2510018774016 2601476947968 2653855678464 2818266693632 2875010318336 2979767779328 3089253875712 3346691698688 3468635930624 3538474237952 3631591981056 3704711282688 4119005167616 4227400040448 4312515477504 4469651668992 4842122641408 4939615043584 5020037548032 5202953895936 5307711356928 5636533387264 5750020636672 6178507751424 6693383397376 6937271861248 7076948475904 7263183962112 7409422565376 8238010335232 8454800080896 8625030955008 8939303337984 9684245282816 10040075096064 10405907791872 10615422713856 11273066774528 11500041273344 12357015502848 13386766794752 13874543722496 14153896951808 14526367924224 14818845130752 16476020670464 16909600161792 17250061910016 19368490565632 20080150192128 20811815583744 21230845427712 22546133549056 23000082546688 24714031005696 26773533589504 27749087444992 28307793903616 29052735848448 32952041340928 33819200323584 34500123820032 38736981131264 40160300384256 41623631167488 42461690855424 45092267098112 46000165093376 49428062011392 53547067179008 55498174889984 56615587807232 58105471696896 65904082681856 67638400647168 69000247640064 80320600768512 83247262334976 84923381710848 90184534196224 92000330186752 98856124022784 107094134358016 110996349779968 116210943393792 131808165363712 135276801294336 138000495280128 160641201537024 166494524669952 169846763421696 180369068392448 184000660373504 197712248045568 214188268716032 221992699559936 263616330727424 270553602588672 276000990560256 321282403074048 332989049339904 360738136784896 368001320747008 395424496091136 428376537432064 443985399119872 527232661454848 541107205177344 552001981120512 642564806148096 665978098679808 721476273569792 736002641494016 790848992182272 856753074864128 1054465322909696 1082214410354688 1104003962241024 1285129612296192 1331956197359616 1442952547139584 1581697984364544 1713506149728256 2108930645819392 2164428820709376 2208007924482048 2570259224592384 2885905094279168 3163395968729088 3427012299456512 4217861291638784 4328857641418752 5140518449184768 5771810188558336 6326791937458176 6854024598913024 8435722583277568 8657715282837504 10281036898369536 12653583874916352 13708049197826048 17315430565675008 20562073796739072 25307167749832704 27416098395652096 41124147593478144 54832196791304192 82248295186956288 109664393582608384 164496590373912576 328993180747825152
• Sum of all divisors σ(n): 1001247067280880000
• Sum of proper divisors (its aliquot sum) s(n): 672253886533054848
• 328993180747825152 is an abundant number, because the sum of its proper divisors (672253886533054848) is greater than itself. Its abundance is 343260705785229696

Bases of 328993180747825152

• Binary: 10010010000110100011000111000001000000000000000000000000000₂
• Hexadecimal: 0x490D18E08000000
• Base-36: 2HZECKRD1SLC

Squares and roots of 328993180747825152

• 328993180747825152 squared (328993180747825152²) is 108236512978571150240169177963823104
• 328993180747825152 cubed (328993180747825152³) is 35609074677873381343920964767473439958941783249911808
• The square root of 328993180747825152 is 573579271.5465100837
• The cube root of 328993180747825152 is 690338.8245247261

Scales and comparisons

• 328,993,180,747,825,152 seconds is equal to 10,460,965,505 years, 2 weeks, 6 days, 13 hours, 39 minutes, 12 seconds.
• To count from 1 to 328,993,180,747,825,152 would take you about thirty-one billion, three hundred eighty-two million, eight hundred ninety-six thousand, five hundred fifteen 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 328993180747825152 cubic inches would be around 57528.2 feet tall.

Recreational maths with 328993180747825152

• 328993180747825152 backwards is 251528747081399823
• The number of decimal digits it has is: 18
• The sum of 328993180747825152's digits is 84
• More coming soon!