480978375896689152

Names of 480978375896689152

• Cardinal: 480978375896689152 can be written as Four hundred eighty quadrillion, nine hundred seventy-eight trillion, three hundred seventy-five billion, eight hundred ninety-six million, six hundred eighty-nine thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.80978375896689152 × 10¹⁷

Factors of 480978375896689152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 59562382

Divisors of 480978375896689152

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 353 384 512 706 768 1059 1412 1536 2118 2824 4236 5648 8472 11296 14897 16944 22592 29794 33888 44691 45184 59588 67776 89382 90368 119176 135552 178764 180736 238352 271104 357528 476704 542208 715056 953408 1430112 1906816 2860224 3813632 5258641 5720448 7627264 10517282 11440896 15775923 21034564 22881792 31551846 42069128 59547127 63103692 84138256 119094254 126207384 168276512 178641381 238188508 252414768 336553024 357282762 476377016 504829536 673106048 714565524 952754032 1009659072 1346212096 1429131048 1905508064 2019318144 2692424192 2858262096 3811016128 4038636288 5716524192 7622032256 8077272576 11433048384 15244064512 21020135831 22866096768 30488129024 42040271662 45732193536 63060407493 84080543324 91464387072 126120814986 168161086648 252241629972 336322173296 504483259944 672644346592 887073550919 1008966519888 1345288693184 1774147101838 2017933039776 2661220652757 2690577386368 3548294203676 4035866079552 5322441305514 5381154772736 7096588407352 8071732159104 10644882611028 10762309545472 14193176814704 16143464318208 21289765222056 28386353629408 32286928636416 42579530444112 56772707258816 85159060888224 113545414517632 170318121776448 227090829035264 313136963474407 340636243552896 454181658070528 626273926948814 681272487105792 939410890423221 1252547853897628 1362544974211584 1878821780846442 2505095707795256 3757643561692884 5010191415590512 7515287123385768 10020382831181024 15030574246771536 20040765662362048 30061148493543072 40081531324724096 60122296987086144 80163062649448192 120244593974172288 160326125298896384 240489187948344576 480978375896689152
• Sum of all divisors σ(n): 1285072639151064192
• Sum of proper divisors (its aliquot sum) s(n): 804094263254375040
• 480978375896689152 is an abundant number, because the sum of its proper divisors (804094263254375040) is greater than itself. Its abundance is 323115887357685888

Bases of 480978375896689152

• Binary: 11010101100110001110100100011010111111101110110101000000000₂
• Hexadecimal: 0x6ACC748D7F76A00
• Base-36: 3NJWLRIR8DMO

Squares and roots of 480978375896689152

• 480978375896689152 squared (480978375896689152²) is 231340198080216808222227435314479104
• 480978375896689152 cubed (480978375896689152³) is 111269632752241046106475228458911519936651121087479808
• The square root of 480978375896689152 is 693526045.5791758885
• The cube root of 480978375896689152 is 783505.1411128631

Scales and comparisons

• 480,978,375,896,689,152 seconds is equal to 15,293,624,589 years, 37 weeks, 1 day, 2 hours, 59 minutes, 12 seconds.
• To count from 1 to 480,978,375,896,689,152 would take you about forty-five billion, eight hundred eighty million, eight hundred seventy-three thousand, seven hundred sixty-nine 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 480978375896689152 cubic inches would be around 65292.1 feet tall.

Recreational maths with 480978375896689152

• 480978375896689152 backwards is 251986698573879084
• The number of decimal digits it has is: 18
• The sum of 480978375896689152's digits is 105
• More coming soon!