138607528741121972

Names of 138607528741121972

• Cardinal: 138607528741121972 can be written as One hundred thirty-eight quadrillion, six hundred seven trillion, five hundred twenty-eight billion, seven hundred forty-one million, one hundred twenty-one thousand, nine hundred seventy-two.

Scientific notation

• Scientific notation: 1.38607528741121972 × 10¹⁷

Factors of 138607528741121972

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 103

Divisors of 138607528741121972

• Number of divisors d(n): 252
• Complete list of divisors:
  1 2 4 7 14 28 41 49 53 82 98 106 164 196 212 287 371 574 742 1148 1484 1681 2009 2173 2597 2809 3362 4018 4346 5194 5618 6724 8036 8692 10388 11236 11767 15211 19663 23534 30422 39326 47068 60844 68921 78652 82369 89093 106477 115169 137641 137842 148877 164738 178186 212954 230338 275282 275684 297754 329476 356372 425908 460676 482447 550564 595508 623651 806183 964894 1042139 1247302 1612366 1929788 2084278 2494604 2825761 3224732 3377129 3652813 4168556 4365557 4721929 5643281 5651522 6103957 6754258 7294973 7305626 8731114 9443858 11286562 11303044 12207914 13508516 14589946 14611252 17462228 18887716 19780327 22573124 24415828 25569691 29179892 33053503 39560654 42727699 51139382 66107006 79121308 85455398 102278764 115856201 132214012 138462289 149765333 170910796 178987837 193599089 231374521 231712402 250262237 276924578 299093893 299530666 357975674 387198178 462749042 463424804 500524474 553849156 598187786 599061332 715951348 774396356 810993407 925498084 1001048948 1048357331 1196375572 1355193623 1621986814 1751835659 2096714662 2710387246 3243973628 3503671318 4193429324 4750104241 5420774492 5676953849 6140378653 7007342636 7338501317 7937562649 9486355361 9500208482 10260751717 11353907698 12262849613 12280757306 14677002634 15875125298 18972710722 19000416964 20521503434 22707815396 24525699226 24561514612 29354005268 31750250596 33250729687 37945421444 41043006868 42982650571 49051398452 55562938543 66501459374 71825262019 85965301142 111125877086 133002918748 143650524038 171930602284 222251754172 232755107809 251755524773 287301048076 300878553997 325440068609 388940569801 420690820397 465510215618 502776834133 503511049546 601757107994 650880137218 777881139602 841381640794 931020431236 1005553668266 1007022099092 1203514215988 1301760274436 1555762279204 1682763281588 1762288673411 2011107336532 2278080480263 2944835742779 3524577346822 4556160960526 5889671485558 7049154693644 9112321921052 11779342971116 12336020713877 13343042812969 15946563361841 17248323636277 20613850199453 24672041427754 26686085625938 31893126723682 34496647272554 41227700398906 49344082855508 53372171251876 63786253447364 68993294545108 82455400797812 93401299690783 120738265453939 186802599381566 241476530907878 373605198763132 482953061815756 653809097835481 707181269087357 845167858177573 1307618195670962 1414362538174714 1690335716355146 2615236391341924 2828725076349428 3380671432710292 4950268883611499 9900537767222998 19801075534445996 34651882185280493 69303764370560986 138607528741121972
• Sum of all divisors σ(n): 294781334847548220
• Sum of proper divisors (its aliquot sum) s(n): 156173806106426248
• 138607528741121972 is an abundant number, because the sum of its proper divisors (156173806106426248) is greater than itself. Its abundance is 17566277365304276

Bases of 138607528741121972

• Binary: 111101100011011101101000000100001110011110010111110110100₂
• Hexadecimal: 0x1EC6ED021CF2FB4
• Base-36: 11WS9NNK4H4K

Squares and roots of 138607528741121972

• 138607528741121972 squared (138607528741121972²) is 19212047023720953520072209381168784
• 138607528741121972 cubed (138607528741121972³) is 2662934360016188905596911174338472299974660862922048
• The square root of 138607528741121972 is 372300320.6298941291
• The cube root of 138607528741121972 is 517522.1473603911

Scales and comparisons

• 138,607,528,741,121,972 seconds is equal to 4,407,290,672 years, 38 weeks, 2 hours, 19 minutes, 32 seconds.
• To count from 1 to 138,607,528,741,121,972 would take you about thirteen billion, two hundred twenty-one million, eight hundred seventy-two thousand and eighteen 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 138607528741121972 cubic inches would be around 43126.8 feet tall.

Recreational maths with 138607528741121972

• 138607528741121972 backwards is 279121147825706831
• The number of decimal digits it has is: 18
• The sum of 138607528741121972's digits is 74
• More coming soon!