230984619399174144

Names of 230984619399174144

• Cardinal: 230984619399174144 can be written as Two hundred thirty quadrillion, nine hundred eighty-four trillion, six hundred nineteen billion, three hundred ninety-nine million, one hundred seventy-four thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 2.30984619399174144 × 10¹⁷

Factors of 230984619399174144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 483264

Divisors of 230984619399174144

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 512 552 644 672 736 768 896 966 1024 1104 1288 1344 1472 1536 1792 1932 2048 2208 2576 2688 2944 3072 3584 3864 4416 5152 5376 5888 6144 7168 7728 8832 10304 10752 11776 14336 15456 17664 20608 21504 23552 30912 35328 41216 43008 47104 61824 70656 82432 123648 141312 164864 247296 329728 483229 494592 966458 989184 1449687 1932916 2899374 3382603 3865832 5798748 6765206 7731664 10147809 11114267 11597496 13530412 15463328 20295618 22228534 23194992 27060824 30926656 33342801 40591236 44457068 46389984 54121648 61853312 66685602 77799869 81182472 88914136 92779968 108243296 123706624 133371204 155599738 162364944 177828272 185559936 216486592 233399607 247413248 266742408 311199476 324729888 355656544 371119872 432973184 466799214 494826496 533484816 622398952 649459776 711313088 742239744 865946368 933598428 989652992 1066969632 1244797904 1298919552 1422626176 1484479488 1731892736 1867196856 2133939264 2489595808 2597839104 2845252352 2968958976 3463785472 3734393712 4267878528 4979191616 5195678208 5690504704 6927570944 7468787424 8535757056 9958383232 10391356416 11381009408 14937574848 17071514112 19916766464 20782712832 22762018816 29875149696 34143028224 39833532928 59750299392 68286056448 79667065856 119500598784 159334131712 233510266441 239001197568 467020532882 478002395136 700530799323 934041065764 1401061598646 1634571865087 1868082131528 2802123197292 3269143730174 3736164263056 4903715595261 5370736128143 5604246394584 6538287460348 7472328526112 9807431190522 10741472256286 11208492789168 13076574920696 14944657052224 16112208384429 19614862381044 21482944512572 22416985578336 26153149841392 29889314104448 32224416768858 37595152897001 39229724762088 42965889025144 44833971156672 52306299682784 59778628208896 64448833537716 75190305794002 78459449524176 85931778050288 89667942313344 104612599365568 112785458691003 119557256417792 128897667075432 150380611588004 156918899048352 171863556100576 179335884626688 209225198731136 225570917382006 239114512835584 257795334150864 300761223176008 313837798096704 343727112201152 358671769253376 418450397462272 451141834764012 478229025671168 515590668301728 601522446352016 627675596193408 687454224402304 717343538506752 836900794924544 902283669528024 1031181336603456 1203044892704032 1255351192386816 1374908448804608 1434687077013504 1673801589849088 1804567339056048 2062362673206912 2406089785408064 2510702384773632 2749816897609216 3347603179698176 3609134678112096 4124725346413824 4812179570816128 5021404769547264 5499633795218432 7218269356224192 8249450692827648 9624359141632256 10042809539094528 10999267590436864 14436538712448384 16498901385655296 19248718283264512 28873077424896768 32997802771310592 38497436566529024 57746154849793536 76994873133058048 115492309699587072 230984619399174144
• Sum of all divisors σ(n): 734381967285308160
• Sum of proper divisors (its aliquot sum) s(n): 503397347886134016
• 230984619399174144 is an abundant number, because the sum of its proper divisors (503397347886134016) is greater than itself. Its abundance is 272412728486959872

Bases of 230984619399174144

• Binary: 1100110100100111110100100110011011110111011101100000000000₂
• Hexadecimal: 0x3349F499BDDD800
• Base-36: 1R6D7P8W4LXC

Squares and roots of 230984619399174144

• 230984619399174144 squared (230984619399174144²) is 53353894398981336292322269238132736
• 230984619399174144 cubed (230984619399174144³) is 12323928991212433077372701371649385891656751051177984
• The square root of 230984619399174144 is 480608592.7229913187
• The cube root of 230984619399174144 is 613565.6257455811

Scales and comparisons

• 230,984,619,399,174,144 seconds is equal to 7,344,596,414 years, 28 weeks, 5 days, 20 hours, 22 minutes, 24 seconds.
• To count from 1 to 230,984,619,399,174,144 would take you about twenty-two billion, thirty-three million, seven hundred eighty-nine thousand, two hundred forty-three 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 230984619399174144 cubic inches would be around 51130.5 feet tall.

Recreational maths with 230984619399174144

• 230984619399174144 backwards is 441471993916489032
• 230984619399174144 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 230984619399174144's digits is 84
• More coming soon!