138039418321614352403619135

Names of 138039418321614352403619135

• Cardinal: 138039418321614352403619135 can be written as One hundred thirty-eight septillion, thirty-nine sextillion, four hundred eighteen quintillion, three hundred twenty-one quadrillion, six hundred fourteen trillion, three hundred fifty-two billion, four hundred three million, six hundred nineteen thousand, one hundred thirty-five.

Scientific notation

• Scientific notation: 1.38039418321614352403619135 × 10²⁶

Factors of 138039418321614352403619135

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 623664747383467

Divisors of 138039418321614352403619135

• Number of divisors d(n): 32
• Complete list of divisors:
  1 3 5 13 15 39 65 195 1135058129 3405174387 5675290645 14755755677 17025871935 44267267031 73778778385 221336335155 623663612325317 1870990836975951 3118318061626585 8107626960229121 9354954184879755 24322880880687363 40538134801145605 121614404403436815 707894452931355653351893 2123683358794066960055679 3539472264656778266759465 9202627888107623493574609 10618416793970334800278395 27607883664322870480723827 46013139440538117467873045 138039418321614352403619135
• Sum of all divisors σ(n): 237852536394486854647074240
• Sum of proper divisors (its aliquot sum) s(n): 99813118072872502243455105
• 138039418321614352403619135 is a deficient number, because the sum of its proper divisors (99813118072872502243455105) is less than itself. Its deficiency is 38226300248741850160164030

Bases of 138039418321614352403619135

• Binary: 111001000101110111110111101110010010100110111010010000110110011010101110101110100111111₂
• Hexadecimal: 0x722EFBDC94DD21B3575D3F
• Base-36: HCEJGHWX71TLEQR0F

Squares and roots of 138039418321614352403619135

• 138039418321614352403619135 squared (138039418321614352403619135²) is 19054881010569640155920764650126177278559446138148225
• 138039418321614352403619135 cubed (138039418321614352403619135³) is 2630324690886608191935106167052070841386011203615853653961311559683677076285375
• The square root of 138039418321614352403619135 is 11749017759864.6242068325
• The cube root of 138039418321614352403619135 is 516814123.4654286247

Scales and comparisons

• 138,039,418,321,614,352,403,619,135 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,039,418,321,614,352,403,619,135 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138039418321614352403619135 cubic inches would be around 43067843.6 feet tall.

Recreational maths with 138039418321614352403619135

• 138039418321614352403619135 backwards is 531916304253416123814930831
• The number of decimal digits it has is: 27
• The sum of 138039418321614352403619135's digits is 96
• More coming soon!