506042396934144

Names of 506042396934144

• Cardinal: 506042396934144 can be written as Five hundred six trillion, forty-two billion, three hundred ninety-six million, nine hundred thirty-four thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 5.06042396934144 × 10¹⁴

Factors of 506042396934144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 3392

Divisors of 506042396934144

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 512 536 672 768 804 896 938 1024 1072 1344 1407 1536 1608 1792 1876 2048 2144 2688 2814 3072 3216 3313 3584 3752 4096 4288 5376 5628 6144 6432 6626 7168 7504 8192 8576 9939 10752 11256 12288 12864 13252 14336 15008 16384 17152 19878 21504 22512 23191 24576 25728 26504 28672 30016 32768 34304 39756 43008 45024 46382 49152 51456 53008 57344 60032 68608 69573 79512 86016 90048 92764 98304 102912 106016 114688 120064 137216 139146 159024 172032 180096 185528 205824 212032 221971 229376 240128 274432 278292 318048 344064 360192 371056 411648 424064 443942 480256 548864 556584 636096 665913 688128 720384 742112 823296 848128 887884 960512 1097728 1113168 1272192 1331826 1440768 1484224 1553797 1646592 1696256 1775768 1921024 2195456 2226336 2544384 2663652 2881536 2968448 3107594 3293184 3392512 3551536 3842048 4452672 4661391 5088768 5327304 5763072 5936896 6215188 6586368 6785024 7103072 7684096 8905344 9322782 10177536 10654608 10975969 11526144 11873792 12430376 13570048 14206144 15368192 17810688 18645564 20355072 21309216 21951938 23052288 23747584 24860752 27140096 28412288 32927907 35621376 37291128 40710144 42618432 43903876 46104576 47495168 49721504 54280192 56824576 65855814 71242752 74582256 76831783 81420288 85236864 87807752 94990336 99443008 108560384 113649152 131711628 142485504 149164512 153663566 162840576 170473728 175615504 189980672 198886016 227298304 230495349 263423256 284971008 298329024 307327132 325681152 340947456 351231008 379961344 397772032 454596608 460990698 526846512 569942016 596658048 614654264 681894912 702462016 735389923 759922688 795544064 909193216 921981396 1053693024 1139884032 1193316096 1229308528 1363789824 1404924032 1470779846 1591088128 1818386432 1843962792 2107386048 2206169769 2279768064 2386632192 2458617056 2727579648 2809848064 2941559692 3182176256 3636772864 3687925584 4214772096 4412339538 4773264384 4917234112 5147729461 5455159296 5619696128 5883119384 6364352512 7273545728 7375851168 8429544192 8824679076 9546528768 9834468224 10295458922 10910318592 11239392256 11766238768 12728705024 14751702336 15443188383 16859088384 17649358152 19093057536 19668936448 20590917844 21820637184 22478784512 23532477536 25457410048 29503404672 30886376766 33718176768 35298716304 38186115072 39337872896 41181835688 44957569024 47064955072 50914820096 59006809344 61772753532 67436353536 70597432608 76372230144 78675745792 82363671376 89915138048 94129910144 118013618688 123545507064 134872707072 141194865216 152744460288 157351491584 164727342752 179830276096 188259820288 236027237376 247091014128 269745414144 282389730432 314702983168 329454685504 359660552192 376519640576 472054474752 494182028256 539490828288 564779460864 629405966336 658909371008 753039281152 944108949504 988364056512 1078981656576 1129558921728 1258811932672 1317818742016 1506078562304 1888217899008 1976728113024 2259117843456 2517623865344 2635637484032 3012157124608 3776435798016 3953456226048 4518235686912 5271274968064 6024314249216 7552871596032 7906912452096 9036471373824 10542549936128 12048628498432 15813824904192 18072942747648 21085099872256 24097256996864 31627649808384 36145885495296 42170199744512 63255299616768 72291770990592 84340399489024 126510599233536 168680798978048 253021198467072 506042396934144
• Sum of all divisors σ(n): 1565691429617280
• Sum of proper divisors (its aliquot sum) s(n): 1059649032683136
• 506042396934144 is an abundant number, because the sum of its proper divisors (1059649032683136) is greater than itself. Its abundance is 553606635748992

Bases of 506042396934144

• Binary: 1110011000011111000101101010011111000000000000000₂
• Hexadecimal: 0x1CC3E2D4F8000
• Base-36: 4ZDKO1I96O

Squares and roots of 506042396934144

• 506042396934144 squared (506042396934144²) is 256078907494853752810673012736
• 506042396934144 cubed (506042396934144³) is 129586784152972725704777369803037286265257984
• The square root of 506042396934144 is 22495386.1254734635
• The cube root of 506042396934144 is 79688.4968200599

Scales and comparisons

• 506,042,396,934,144 seconds is equal to 16,090,582 years, 48 weeks, 2 days, 17 hours, 42 minutes, 24 seconds.
• To count from 1 to 506,042,396,934,144 would take you about forty million, two hundred twenty-six thousand, four hundred fifty-seven 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 506042396934144 cubic inches would be around 6640.7 feet tall.

Recreational maths with 506042396934144

• 506042396934144 backwards is 441439693240605
• The number of decimal digits it has is: 15
• The sum of 506042396934144's digits is 60
• More coming soon!