146221138557918400

Names of 146221138557918400

• Cardinal: 146221138557918400 can be written as One hundred forty-six quadrillion, two hundred twenty-one trillion, one hundred thirty-eight billion, five hundred fifty-seven million, nine hundred eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.462211385579184 × 10¹⁷

Factors of 146221138557918400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1548952739027

Divisors of 146221138557918400

• Number of divisors d(n): 84
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 160 200 236 295 320 400 472 590 800 944 1180 1475 1600 1888 2360 2950 3776 4720 5900 9440 11800 18880 23600 47200 94400 1548952738961 3097905477922 6195810955844 7744763694805 12391621911688 15489527389610 24783243823376 30979054779220 38723818474025 49566487646752 61958109558440 77447636948050 91388211598699 99132975293504 123916219116880 154895273896100 182776423197398 247832438233760 309790547792200 365552846394796 456941057993495 495664876467520 619581095584400 731105692789592 913882115986990 1239162191168800 1462211385579184 1827764231973980 2284705289967475 2478324382337600 2924422771158368 3655528463947960 4569410579934950 5848845542316736 7311056927895920 9138821159869900 14622113855791840 18277642319739800 29244227711583680 36555284639479600 73110569278959200 146221138557918400
• Sum of all divisors σ(n): 365893615997603640
• Sum of proper divisors (its aliquot sum) s(n): 219672477439685240
• 146221138557918400 is an abundant number, because the sum of its proper divisors (219672477439685240) is greater than itself. Its abundance is 73451338881766840

Bases of 146221138557918400

• Binary: 1000000111011110110101100111001110011001011101110011000000₂
• Hexadecimal: 0x2077B59CE65DCC0
• Base-36: 13ZR2FPVGQF4

Squares and roots of 146221138557918400

• 146221138557918400 squared (146221138557918400²) is 21380621361173971029551341058560000
• 146221138557918400 cubed (146221138557918400³) is 3126298798506609120752032757462404762526101504000000
• The square root of 146221138557918400 is 382388727.0277700015
• The cube root of 146221138557918400 is 526829.4615519475

Scales and comparisons

• 146,221,138,557,918,400 seconds is equal to 4,649,379,914 years, 24 weeks, 19 hours, 6 minutes, 40 seconds.
• To count from 1 to 146,221,138,557,918,400 would take you about thirteen billion, nine hundred forty-eight million, one hundred thirty-nine thousand, seven 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 146221138557918400 cubic inches would be around 43902.5 feet tall.

Recreational maths with 146221138557918400

• 146221138557918400 backwards is 004819755831122641
• The number of decimal digits it has is: 18
• The sum of 146221138557918400's digits is 67
• More coming soon!