46864939482172800

Names of 46864939482172800

• Cardinal: 46864939482172800 can be written as Forty-six quadrillion, eight hundred sixty-four trillion, nine hundred thirty-nine billion, four hundred eighty-two million, one hundred seventy-two thousand, eight hundred.

Scientific notation

• Scientific notation: 4.68649394821728 × 10¹⁶

Factors of 46864939482172800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1627254843141

Divisors of 46864939482172800

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 1627254843131 3254509686262 4881764529393 6509019372524 8136274215655 9763529058786 13018038745048 14645293588179 16272548431310 19527058117572 24408822646965 26036077490096 29290587176358 32545096862620 39054116235144 40681371078275 48817645293930 52072154980192 58581174352716 65090193725240 73226467940895 78108232470288 81362742156550 97635290587860 104144309960384 117162348705432 122044113234825 130180387450480 146452935881790 156216464940576 162725484313100 195270581175720 208288619920768 234324697410864 244088226469650 260360774900960 292905871763580 312432929881152 325450968626200 366132339704475 390541162351440 468649394821728 488176452939300 520721549801920 585811743527160 624865859762304 650901937252400 732264679408950 781082324702880 937298789643456 976352905878600 1041443099603840 1171623487054320 1301803874504800 1464529358817900 1562164649405760 1874597579286912 1952705811757200 2343246974108640 2603607749009600 2929058717635800 3124329298811520 3905411623514400 4686493948217280 5207215498019200 5858117435271600 7810823247028800 9372987896434560 11716234870543200 15621646494057600 23432469741086400 46864939482172800
• Sum of all divisors σ(n): 167224843954459980
• Sum of proper divisors (its aliquot sum) s(n): 120359904472287180
• 46864939482172800 is an abundant number, because the sum of its proper divisors (120359904472287180) is greater than itself. Its abundance is 73494964990114380

Bases of 46864939482172800

• Binary: 10100110011111110110101000000110010000010100110110000000₂
• Hexadecimal: 0xA67F6A06414D80
• Base-36: CTG8FZAT0G0

Squares and roots of 46864939482172800

• 46864939482172800 squared (46864939482172800²) is 2196322552667718951409009059840000
• 46864939482172800 cubed (46864939482172800³) is 102930523514103930849868690053794793368420352000000
• The square root of 46864939482172800 is 216483115.9286395711
• The cube root of 46864939482172800 is 360536.5955711849

Scales and comparisons

• 46,864,939,482,172,800 seconds is equal to 1,490,160,112 years, 39 weeks, 2 days, 16 hours.
• To count from 1 to 46,864,939,482,172,800 would take you about four billion, four hundred seventy million, four hundred eighty thousand, three hundred thirty-eight 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 46864939482172800 cubic inches would be around 30044.7 feet tall.

Recreational maths with 46864939482172800

• 46864939482172800 backwards is 00827128493946864
• The number of decimal digits it has is: 17
• The sum of 46864939482172800's digits is 81
• More coming soon!