90840359519152144

Names of 90840359519152144

• Cardinal: 90840359519152144 can be written as Ninety quadrillion, eight hundred forty trillion, three hundred fifty-nine billion, five hundred nineteen million, one hundred fifty-two thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 9.0840359519152144 × 10¹⁶

Factors of 90840359519152144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 7045131

Divisors of 90840359519152144

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 991 1013 1168 1606 1982 2026 3212 3964 4052 6424 7928 8104 10901 11143 12848 15856 16208 21802 22286 43604 44572 72343 73949 87208 89144 144686 147898 174416 178288 289372 295796 578744 591592 795773 813439 1003883 1157488 1183184 1591546 1626878 2007766 3183092 3253756 4015532 6366184 6507512 7043041 8031064 11042713 12732368 13015024 14086082 16062128 22085426 28172164 44170852 56344328 73283459 77473451 88341704 112688656 146566918 154946902 176683408 293133836 309893804 514141993 586267672 619787608 806118049 1028283986 1172535344 1239575216 1612236098 2056567972 3224472196 4113135944 5655561923 6448944392 6979653631 7134600533 8226271888 11311123846 12897888784 13959307262 14269201066 22622247692 27918614524 28538402132 45244495384 55837229048 57076804264 76776189941 78480605863 90488990768 111674458096 114153608528 153552379882 156961211726 307104759764 313922423452 509514715063 520825838909 614209519528 627844846904 1019029430126 1041651677818 1228419039056 1255689693808 2038058860252 2083303355636 4076117720504 4166606711272 5604661865693 5729084227999 7070389128203 8152235441008 8333213422544 11209323731386 11458168455998 14140778256406 22418647462772 22916336911996 28281556512812 44837294925544 45832673823992 56563113025624 77774280410233 89674589851088 91665347647984 113126226051248 155548560820466 311097121640932 516138406358819 622194243281864 1032276812717638 1244388486563728 2064553625435276 4129107250870552 5677522469947009 8258214501741104 11355044939894018 22710089879788036 45420179759576072 90840359519152144
• Sum of all divisors σ(n): 195022430680716288
• Sum of proper divisors (its aliquot sum) s(n): 104182071161564144
• 90840359519152144 is an abundant number, because the sum of its proper divisors (104182071161564144) is greater than itself. Its abundance is 13341711642412000

Bases of 90840359519152144

• Binary: 101000010101110101101001101100000011010000110100000010000₂
• Hexadecimal: 0x142BAD360686810
• Base-36: OUG7X1X4HSG

Squares and roots of 90840359519152144

• 90840359519152144 squared (90840359519152144²) is 8251970917568815542678340619796736
• 90840359519152144 cubed (90840359519152144³) is 749612004893539005183178139948602040397988338601984
• The square root of 90840359519152144 is 301397344.9105883283
• The cube root of 90840359519152144 is 449530.9672980635

Scales and comparisons

• 90,840,359,519,152,144 seconds is equal to 2,888,442,445 years, 1 week, 3 days, 4 hours, 29 minutes, 4 seconds.
• To count from 1 to 90,840,359,519,152,144 would take you about eight billion, six hundred sixty-five million, three hundred twenty-seven thousand, three hundred thirty-five 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 90840359519152144 cubic inches would be around 37460.9 feet tall.

Recreational maths with 90840359519152144

• 90840359519152144 backwards is 44125191595304809
• The number of decimal digits it has is: 17
• The sum of 90840359519152144's digits is 70
• More coming soon!