450413560974518420

Names of 450413560974518420

• Cardinal: 450413560974518420 can be written as Four hundred fifty quadrillion, four hundred thirteen trillion, five hundred sixty billion, nine hundred seventy-four million, five hundred eighteen thousand, four hundred twenty.

Scientific notation

• Scientific notation: 4.5041356097451842 × 10¹⁷

Factors of 450413560974518420

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 876

Divisors of 450413560974518420

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 4 5 10 17 20 34 68 85 109 170 218 289 340 436 545 578 743 1090 1156 1445 1486 1853 2180 2890 2972 3706 3715 5780 7412 7430 9265 11881 12631 14860 18530 23762 25262 31501 37060 47524 50524 59405 63002 63155 80987 118810 126004 126310 157505 161974 201977 214727 237620 252620 315010 323948 403954 404935 429454 552049 630020 807908 809870 858908 1009885 1073635 1104098 1295029 1376779 1619740 2019770 2147270 2208196 2590058 2753558 2760245 3433609 4039540 4294540 5180116 5507116 5520490 6475145 6867218 6883895 8827583 9384833 11040980 12950290 13734436 13767790 17168045 17655166 18769666 22015493 23405243 25900580 27535580 34336090 35310332 37539332 44030986 44137915 46810486 46924165 60173341 68672180 88061972 88275830 93620972 93848330 110077465 117026215 120346682 141158161 150068911 159542161 176551660 187696660 220154930 234052430 240693364 282316322 300137822 300866705 319084322 374263381 440309860 468104860 564632644 600275644 601733410 638168644 705790805 748526762 750344555 797710805 962206547 1022946797 1203466820 1411581610 1497053524 1500689110 1595421610 1871316905 1924413094 2045893594 2399688737 2551171487 2823163220 3001378220 3190843220 3742633810 3848826188 4091787188 4799377474 4811032735 5102342974 5114733985 6558894169 7485267620 9598754948 9622065470 10204685948 10229467970 11998443685 12755857435 13117788338 16357511299 17390095549 19244130940 20458935940 23996887370 25511714870 26235576676 32715022598 32794470845 34780191098 40794708529 47993774740 51023429740 65430045196 65588941690 69560382196 81589417058 81787556495 86950477745 104880513623 111501200873 131177883380 163178834116 163575112990 173900955490 203973542645 209761027246 223002401746 278077692083 327150225980 347801910980 407947085290 419522054492 446004803492 524402568115 556155384166 557506004365 714919464421 815894170580 1048805136230 1112310768332 1115012008730 1390388460415 1429838928842 1782968731591 1895520414841 2097610272460 2230024017460 2780776920830 2859677857684 3565937463182 3574597322105 3791040829682 5561553841660 7131874926364 7149194644210 7582081659364 8914843657955 9477602074205 12153630895157 14298389288420 17829687315910 18955204148410 24307261790314 30310468437047 35659374631820 37910408296820 48614523580628 60620936874094 60768154475785 77926221621889 121241873748188 121536308951570 151552342185235 155852443243778 206611725217669 243072617903140 303104684370470 311704886487556 389631108109445 413223450435338 606209368740940 779262216218890 826446900870676 1033058626088345 1324745767572113 1558524432437780 2066117252176690 2649491535144226 4132234504353380 5298983070288452 6623728837860565 13247457675721130 22520678048725921 26494915351442260 45041356097451842 90082712194903684 112603390243629605 225206780487259210 450413560974518420
• Sum of all divisors σ(n): 1015450914398072502
• Sum of proper divisors (its aliquot sum) s(n): 565037353423554082
• 450413560974518420 is an abundant number, because the sum of its proper divisors (565037353423554082) is greater than itself. Its abundance is 114623792449035662

Bases of 450413560974518420

• Binary: 11001000000001100001011111101001111111001111010100010010100₂
• Hexadecimal: 0x64030BF4FE7A894
• Base-36: 3F6YA5DYPH1W

Squares and roots of 450413560974518420

• 450413560974518420 squared (450413560974518420²) is 202872375909746222625236550919296400
• 450413560974518420 cubed (450413560974518420³) is 91376469256869902062397292215395339947306275239688000
• The square root of 450413560974518420 is 671128572.6107318851
• The cube root of 450413560974518420 is 766544.1128681975

Scales and comparisons

• 450,413,560,974,518,420 seconds is equal to 14,321,758,018 years, 19 weeks, 1 day, 13 hours, 20 minutes, 20 seconds.
• To count from 1 to 450,413,560,974,518,420 would take you about forty-two billion, nine hundred sixty-five million, two hundred seventy-four thousand and fifty-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 450413560974518420 cubic inches would be around 63878.7 feet tall.

Recreational maths with 450413560974518420

• 450413560974518420 backwards is 024815479065314054
• 450413560974518420 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 450413560974518420's digits is 68
• More coming soon!