48123120080218338

Names of 48123120080218338

• Cardinal: 48123120080218338 can be written as Forty-eight quadrillion, one hundred twenty-three trillion, one hundred twenty billion, eighty million, two hundred eighteen thousand, three hundred thirty-eight.

Scientific notation

• Scientific notation: 4.8123120080218338 × 10¹⁶

Factors of 48123120080218338

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 432

Divisors of 48123120080218338

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 6 9 18 19 38 57 114 157 171 251 314 342 361 471 502 722 753 942 1083 1413 1506 2166 2259 2826 2983 3249 4518 4769 5966 6498 6859 8949 9538 13718 14307 17898 20577 24649 26847 28614 39407 41154 42921 49298 53694 56677 61731 63001 73947 78814 85842 90611 113354 118221 123462 126002 147894 170031 181222 189003 221841 236442 271833 340062 354663 378006 443682 468331 510093 543666 567009 709326 748733 815499 936662 1020186 1076863 1134018 1197019 1404993 1497466 1630998 1721609 2153726 2246199 2394038 2809986 3230589 3443218 3591057 4214979 4492398 5164827 6186899 6461178 6738597 7182114 8429958 8898289 9691767 9891157 10329654 10773171 12373798 13477194 14225927 15494481 15813251 17796578 18560697 19383534 19782314 21546342 22743361 26694867 28451854 29673471 30988962 31626502 37121394 42677781 45486722 47439753 53389734 55682091 59346942 68230083 80084601 85355562 89020413 94879506 111364182 117551081 128033343 136460166 142319259 160169202 169067491 178040826 187931983 204690249 235102162 256066686 270292613 284638518 300451769 338134982 352653243 375863966 409380498 432123859 507202473 540585226 563795949 600903538 705306486 810877839 864247718 901355307 1014404946 1057959729 1127591898 1296371577 1521607419 1552911649 1621755678 1691387847 1802710614 2115919458 2233470539 2432633517 2482680407 2592743154 2704065921 3043214838 3105823298 3382775694 3570707677 3889114731 4466941078 4658734947 4865267034 4965360814 5408131842 5708583611 6700411617 7141415354 7448041221 7778229462 9317469894 10712123031 11417167222 13400823234 13976204841 14896082442 17125750833 20101234851 21424246062 22344123663 27952409682 29505321331 32136369093 34251501666 40202469702 42435940241 44688247326 47170927733 51377252499 59010642662 64272738186 67843445863 84871880482 88515963993 94341855466 102754504998 108463088609 127307820723 135686891726 141512783199 177031927986 203530337589 216926177218 254615641446 265547891979 283025566398 325389265827 381923462169 389780823899 407060675178 424538349597 531095783958 560601105289 610591012767 650778531654 763846924338 779561647798 849076699194 896247626927 976167797481 1121202210578 1169342471697 1221182025534 1681803315867 1792495253854 1952335594962 2338684943394 2688742880781 3363606631734 3508027415091 5045409947601 5377485761562 7016054830182 7405835654081 8066228642343 10090819895202 10651421000491 14811671308162 16132457284686 17028704911613 21302842000982 22217506962243 31954263001473 34057409823226 44435013924486 51086114734839 63908526002946 66652520886729 95862789004419 102172229469678 133305041773458 140710877427539 153258344204517 191725578008838 281421754855078 306516688409034 422132632282617 844265264565234 1266397896847851 2532795793695702 2673506671123241 5347013342246482 8020520013369723 16041040026739446 24061560040109169 48123120080218338
• Sum of all divisors σ(n): 111207044029798080
• Sum of proper divisors (its aliquot sum) s(n): 63083923949579742
• 48123120080218338 is an abundant number, because the sum of its proper divisors (63083923949579742) is greater than itself. Its abundance is 14960803869361404

Bases of 48123120080218338

• Binary: 10101010111101111011100100000101110111010110100011100010₂
• Hexadecimal: 0xAAF7B905DD68E2
• Base-36: D5U8061MDWI

Squares and roots of 48123120080218338

• 48123120080218338 squared (48123120080218338²) is 2315834686255113417984101751482244
• 48123120080218338 cubed (48123120080218338³) is 111445190692589583241395729070974158808074650190472
• The square root of 48123120080218338 is 219369824.9081179761
• The cube root of 48123120080218338 is 363734.5810957305

Scales and comparisons

• 48,123,120,080,218,338 seconds is equal to 1,530,166,363 years, 50 weeks, 2 days, 12 minutes, 18 seconds.
• To count from 1 to 48,123,120,080,218,338 would take you about four billion, five hundred ninety million, four hundred ninety-nine thousand and ninety-one 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 48123120080218338 cubic inches would be around 30311.2 feet tall.

Recreational maths with 48123120080218338

• 48123120080218338 backwards is 83381208002132184
• The number of decimal digits it has is: 17
• The sum of 48123120080218338's digits is 54
• More coming soon!