12585129984

Names of 12585129984

• Cardinal: 12585129984 can be written as Twelve billion, five hundred eighty-five million, one hundred twenty-nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.2585129984 × 10¹⁰

Factors of 12585129984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1062

Divisors of 12585129984

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 103 112 126 128 144 168 192 206 224 252 256 288 309 336 384 412 448 504 512 576 618 672 721 768 824 896 927 947 1008 1024 1152 1236 1344 1442 1536 1648 1792 1854 1894 2016 2048 2163 2304 2472 2688 2841 2884 3072 3296 3584 3708 3788 4032 4326 4608 4944 5376 5682 5768 6144 6489 6592 6629 7168 7416 7576 8064 8523 8652 9216 9888 10752 11364 11536 12978 13184 13258 14336 14832 15152 16128 17046 17304 18432 19776 19887 21504 22728 23072 25956 26368 26516 29664 30304 32256 34092 34608 39552 39774 43008 45456 46144 51912 52736 53032 59328 59661 60608 64512 68184 69216 79104 79548 90912 92288 97541 103824 105472 106064 118656 119322 121216 129024 136368 138432 158208 159096 181824 184576 195082 207648 210944 212128 237312 238644 242432 272736 276864 292623 316416 318192 363648 369152 390164 415296 424256 474624 477288 484864 545472 553728 585246 632832 636384 682787 727296 738304 780328 830592 848512 877869 949248 954576 969728 1090944 1107456 1170492 1272768 1365574 1454592 1476608 1560656 1661184 1697024 1755738 1898496 1909152 1939456 2048361 2181888 2214912 2340984 2545536 2731148 2909184 3121312 3322368 3394048 3511476 3818304 4096722 4363776 4429824 4681968 5091072 5462296 5818368 6145083 6242624 6644736 6788096 7022952 7636608 8193444 8727552 9363936 10182144 10924592 12290166 12485248 13289472 13576192 14045904 15273216 16386888 17455104 18727872 20364288 21849184 24580332 24970496 28091808 30546432 32773776 37455744 40728576 43698368 49160664 49940992 56183616 61092864 65547552 74911488 87396736 98321328 99881984 112367232 122185728 131095104 149822976 174793472 196642656 199763968 224734464 262190208 299645952 349586944 393285312 449468928 524380416 599291904 699173888 786570624 898937856 1048760832 1398347776 1573141248 1797875712 2097521664 3146282496 4195043328 6292564992 12585129984
• Sum of all divisors σ(n): 41988360960
• Sum of proper divisors (its aliquot sum) s(n): 29403230976
• 12585129984 is an abundant number, because the sum of its proper divisors (29403230976) is greater than itself. Its abundance is 16818100992

Bases of 12585129984

• Binary: 1011101110001000011101100000000000₂
• Hexadecimal: 0x2EE21D800
• Base-36: 5S4V0G0

Squares and roots of 12585129984

• 12585129984 squared (12585129984²) is 158385496714175840256
• 12585129984 cubed (12585129984³) is 1993302063728307845054179835904
• The square root of 12585129984 is 112183.4657335919
• The cube root of 12585129984 is 2326.0510134073

Scales and comparisons

• 12,585,129,984 seconds is equal to 400 years, 8 weeks, 5 days, 5 hours, 26 minutes, 24 seconds.
• To count from 1 to 12,585,129,984 would take you about eight hundred 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 12585129984 cubic inches would be around 193.8 feet tall.

Recreational maths with 12585129984

• 12585129984 backwards is 48992158521
• The number of decimal digits it has is: 11
• The sum of 12585129984's digits is 54
• More coming soon!