138686807510591200

Names of 138686807510591200

• Cardinal: 138686807510591200 can be written as One hundred thirty-eight quadrillion, six hundred eighty-six trillion, eight hundred seven billion, five hundred ten million, five hundred ninety-one thousand, two hundred.

Scientific notation

• Scientific notation: 1.386868075105912 × 10¹⁷

Factors of 138686807510591200

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 109099125092

Divisors of 138686807510591200

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 227 280 350 400 454 560 700 800 908 1120 1135 1400 1589 1816 2270 2800 3178 3632 4540 5600 5675 6356 7264 7945 9080 11350 12712 15890 18160 22700 25424 31780 36320 39725 45400 50848 63560 79450 90800 127120 158900 181600 254240 317800 635600 1271200 109099124851 218198249702 436396499404 545495624255 763693873957 872792998808 1090991248510 1527387747914 1745585997616 2181982497020 2727478121275 3054775495828 3491171995232 3818469369785 4363964994040 5454956242550 6109550991656 7636938739570 8727929988080 10909912485100 12219101983312 15273877479140 17455859976160 19092346848925 21819824970200 24438203966624 24765501341177 30547754958280 38184693697850 43639649940400 49531002682354 61095509916560 76369387395700 87279299880800 99062005364708 122191019833120 123827506705885 152738774791400 173358509388239 198124010729416 247655013411770 305477549582800 346717018776478 396248021458832 495310026823540 610955099165600 619137533529425 693434037552956 792496042917664 866792546941195 990620053647080 1238275067058850 1386868075105912 1733585093882390 1981240107294160 2476550134117700 2773736150211824 3467170187764780 3962480214588320 4333962734705975 4953100268235400 5547472300423648 6934340375529560 8667925469411950 9906200536470800 13868680751059120 17335850938823900 19812401072941600 27737361502118240 34671701877647800 69343403755295600 138686807510591200
• Sum of all divisors σ(n): 388640757684783744
• Sum of proper divisors (its aliquot sum) s(n): 249953950174192544
• 138686807510591200 is an abundant number, because the sum of its proper divisors (249953950174192544) is greater than itself. Its abundance is 111267142663601344

Bases of 138686807510591200

• Binary: 111101100101101101110101010101000101100111010011011100000₂
• Hexadecimal: 0x1ECB6EAA8B3A6E0
• Base-36: 11XKDBTGJROG

Squares and roots of 138686807510591200

• 138686807510591200 squared (138686807510591200²) is 19234030577479775681300173517440000
• 138686807510591200 cubed (138686807510591200³) is 2667506296351762949707862314525585570557910528000000
• The square root of 138686807510591200 is 372406776.9396674123
• The cube root of 138686807510591200 is 517620.7968819803

Scales and comparisons

• 138,686,807,510,591,200 seconds is equal to 4,409,811,492 years, 19 weeks, 3 days, 10 hours, 26 minutes, 40 seconds.
• To count from 1 to 138,686,807,510,591,200 would take you about thirteen billion, two hundred twenty-nine million, four hundred thirty-four thousand, four hundred seventy-seven 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 138686807510591200 cubic inches would be around 43135.1 feet tall.

Recreational maths with 138686807510591200

• 138686807510591200 backwards is 002195015708686831
• 138686807510591200 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138686807510591200's digits is 70
• More coming soon!