138400214004895744

Names of 138400214004895744

• Cardinal: 138400214004895744 can be written as One hundred thirty-eight quadrillion, four hundred trillion, two hundred fourteen billion, four million, eight hundred ninety-five thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 1.38400214004895744 × 10¹⁷

Factors of 138400214004895744

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2952

Divisors of 138400214004895744

• Number of divisors d(n): 156
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1331 1408 1936 2048 2662 2816 2939 3872 4096 5324 5632 5878 7744 10648 11264 11756 15488 21296 22528 23512 30976 32329 42592 45056 47024 61952 64658 85184 94048 123904 129316 170368 188096 247808 258632 340736 355619 376192 495616 517264 681472 711238 752384 1034528 1362944 1422476 1504768 2069056 2725888 2844952 3009536 3911809 4138112 5451776 5689904 6019072 7823618 8276224 8637721 11379808 12038144 15647236 16552448 17275442 22759616 31294472 33104896 34550884 45519232 62588944 66209792 69101768 91038464 95014931 125177888 132419584 138203536 182076928 190029862 250355776 276407072 364153856 380059724 500711552 552814144 728307712 760119448 1001423104 1045164241 1105628288 1456615424 1520238896 2002846208 2090328482 2211256576 3040477792 4005692416 4180656964 4422513152 6080955584 8011384832 8361313928 8845026304 11496806651 12161911168 16022769664 16722627856 17690052608 22993613302 24323822336 33445255712 35380105216 45987226604 48647644672 66890511424 91974453208 97295289344 133781022848 183948906416 194590578688 267562045696 367897812832 389181157376 535124091392 735795625664 1070248182784 1471591251328 2140496365568 2943182502656 4280992731136 5886365005312 11772730010624 23545460021248 47090920042496
• Sum of all divisors σ(n): 138456738642676712
• Sum of proper divisors (its aliquot sum) s(n): 56524637780968
• 138400214004895744 is a deficient number, because the sum of its proper divisors (56524637780968) is less than itself. Its deficiency is 138343689367114776

Bases of 138400214004895744

• Binary: 111101011101100100100001011101000100110011001000000000000₂
• Hexadecimal: 0x1EBB242E8999000
• Base-36: 11UQS4KUVSHS

Squares and roots of 138400214004895744

• 138400214004895744 squared (138400214004895744²) is 19154619236600940034602400309313536
• 138400214004895744 cubed (138400214004895744³) is 2651003401527862845590013240291424069196623887990784
• The square root of 138400214004895744 is 372021792.3790160763
• 138400214004895744 is a perfect cube number. Its cube root is 517264

Scales and comparisons

• 138,400,214,004,895,744 seconds is equal to 4,400,698,705 years, 20 weeks, 8 hours, 49 minutes, 4 seconds.
• To count from 1 to 138,400,214,004,895,744 would take you about thirteen billion, two hundred two million, ninety-six thousand, one hundred sixteen 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 138400214004895744 cubic inches would be around 43105.3 feet tall.

Recreational maths with 138400214004895744

• 138400214004895744 backwards is 447598400412004831
• 138400214004895744 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138400214004895744's digits is 64
• More coming soon!