138441118122508288000000

Names of 138441118122508288000000

• Cardinal: 138441118122508288000000 can be written as One hundred thirty-eight sextillion, four hundred forty-one quintillion, one hundred eighteen quadrillion, one hundred twenty-two trillion, five hundred eight billion, two hundred eighty-eight million.

Scientific notation

• Scientific notation: 1.38441118122508288 × 10²³

Factors of 138441118122508288000000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 44
• Sum of prime factors: 93

Divisors of 138441118122508288000000

• Number of divisors d(n): 3696
• Complete list of divisors:
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47936675250176000000 51657133627801600000 54078561766604800000 54375930134528000000 55376447249003315200 56924801859584000000 58290997104214016000 64571417034752000000 67598202208256000000 69220559061254144000 72863746380267520000 76698680400281600000 82651413804482560000 86525698826567680000 91079682975334400000 95873350500352000000 103314267255603200000 108157123533209600000 108751860269056000000 110752894498006630400 113849603719168000000 129142834069504000000 135196404416512000000 138441118122508288000 145727492760535040000 173051397653135360000 182159365950668800000 191746701000704000000 206628534511206400000 216314247066419200000 221505788996013260800 227699207438336000000 258285668139008000000 270392808833024000000 276882236245016576000 291454985521070080000 346102795306270720000 364318731901337600000 383493402001408000000 413257069022412800000 432628494132838400000 455398414876672000000 516571336278016000000 540785617666048000000 553764472490033152000 692205590612541440000 728637463802675200000 865256988265676800000 910796829753344000000 1033142672556032000000 1081571235332096000000 1107528944980066304000 1384411181225082880000 1457274927605350400000 1730513976531353600000 1821593659506688000000 2066285345112064000000 2163142470664192000000 2768822362450165760000 3461027953062707200000 3643187319013376000000 4326284941328384000000 5537644724900331520000 6922055906125414400000 7286374638026752000000 8652569882656768000000 13844111812250828800000 17305139765313536000000 27688223624501657600000 34610279530627072000000 69220559061254144000000 138441118122508288000000
• Sum of all divisors σ(n): 370858431160432767092800
• Sum of proper divisors (its aliquot sum) s(n): 232417313037924479092800
• 138441118122508288000000 is an abundant number, because the sum of its proper divisors (232417313037924479092800) is greater than itself. Its abundance is 93976194915416191092800

Bases of 138441118122508288000000

• Binary: 11101010100001110100001110110000011111111000100000000000000000000000000000000₂
• Hexadecimal: 0x1D50E8760FF100000000
• Base-36: MJKYPNMSYAXVWN4

Squares and roots of 138441118122508288000000

• 138441118122508288000000 squared (138441118122508288000000²) is 19165943187010292724980248628690944000000000000
• 138441118122508288000000 cubed (138441118122508288000000³) is 2653354604682174890099426948190126257150667230543872000000000000000000
• The square root of 138441118122508288000000 is 372076763749.7782365379
• The cube root of 138441118122508288000000 is 51731495.4023812591

Scales and comparisons

• 138,441,118,122,508,288,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,441,118,122,508,288,000,000 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 138441118122508288000000 cubic inches would be around 4310958 feet tall.

Recreational maths with 138441118122508288000000

• 138441118122508288000000 backwards is 000000882805221811144831
• 138441118122508288000000 is a Harshad number.
• The number of decimal digits it has is: 24
• The sum of 138441118122508288000000's digits is 67
• More coming soon!