329918944144449513

Names of 329918944144449513

• Cardinal: 329918944144449513 can be written as Three hundred twenty-nine quadrillion, nine hundred eighteen trillion, nine hundred forty-four billion, one hundred forty-four million, four hundred forty-nine thousand, five hundred thirteen.

Scientific notation

• Scientific notation: 3.29918944144449513 × 10¹⁷

Factors of 329918944144449513

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 90645321

Divisors of 329918944144449513

• Number of divisors d(n): 192
• Complete list of divisors:
  1 3 7 19 21 31 49 57 93 127 133 147 217 331 381 399 589 651 889 931 993 1519 1767 2317 2413 2667 2793 3937 4123 4557 6223 6289 6951 7239 10261 11811 12369 16219 16891 18669 18867 27559 28861 30783 42037 44023 48657 50673 71827 74803 82677 86583 118237 126111 132069 192913 194959 215481 224409 294259 308161 354711 502789 523621 578739 584877 798703 882777 924483 1303147 1364713 1508367 1570863 2059813 2396109 3665347 3909441 4094139 5590921 6179439 9122029 9552991 10996041 16772763 24759793 27366087 28658973 39136447 63854203 74279379 90644803 117409341 173318551 191562609 271934409 519955653 634513621 1213229857 1722251257 1903540863 2809988893 3639689571 4441595347 5166753771 8429966679 11511889981 12055758799 13324786041 19669922251 30003429793 34535669943 36167276397 53389788967 59009766753 80583229867 84390311593 90010289379 137689455757 160169366901 210024008551 218725909639 241749689601 253170934779 356868589411 373728522769 413068367271 564082609069 570065166067 630072025653 656177728917 930106323583 1070605768233 1121185568307 1470168059857 1531081367473 1692247827207 1710195498201 2498080125877 2616099659383 2790318970749 3810435583711 3990456162469 4410504179571 4593244102419 6510744265081 6780503198809 7494240377631 7848298978149 10717569572311 11431306751133 11971368487407 17486560881139 17672020148077 19532232795243 20341509596427 26673049085977 27933193137283 32152708716933 45575209855567 47463522391663 52459682643417 53016060444231 72398276090509 80019147257931 83799579411849 118123503095041 123704141036539 136725629566701 142390567174989 186711343601839 217194828271527 332244656741641 354370509285123 371112423109617 506787932633563 560134030805517 826864521665287 865928987255773 996733970224923 1520363797900689 2244346558805779 2480593564995861 2597786961767319 3547515528434941 5788051651657009 6733039676417337 10642546585304823 15710425911640453 17364154954971027 47131277734921359 109972981381483171 329918944144449513
• Sum of all divisors σ(n): 562089908927201280
• Sum of proper divisors (its aliquot sum) s(n): 232170964782751767
• 329918944144449513 is a deficient number, because the sum of its proper divisors (232170964782751767) is less than itself. Its deficiency is 97747979361697746

Bases of 329918944144449513

• Binary: 10010010100000110111000100000011110011001101101111111101001₂
• Hexadecimal: 0x4941B881E66DFE9
• Base-36: 2I8II6LCWB1L

Squares and roots of 329918944144449513

• 329918944144449513 squared (329918944144449513²) is 108846509705388397601414205805937169
• 329918944144449513 cubed (329918944144449513³) is 35910525555810316565203835195468109866778932570648697
• The square root of 329918944144449513 is 574385710.2543982275
• The cube root of 329918944144449513 is 690985.7395532573

Scales and comparisons

• 329,918,944,144,449,513 seconds is equal to 10,490,401,917 years, 25 weeks, 5 days, 3 hours, 58 minutes, 33 seconds.
• To count from 1 to 329,918,944,144,449,513 would take you about thirty-one billion, four hundred seventy-one million, two hundred five thousand, seven hundred fifty-two 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 329918944144449513 cubic inches would be around 57582.1 feet tall.

Recreational maths with 329918944144449513

• 329918944144449513 backwards is 315944441449819923
• The number of decimal digits it has is: 18
• The sum of 329918944144449513's digits is 84
• More coming soon!