137631340224

Names of 137631340224

• Cardinal: 137631340224 can be written as One hundred thirty-seven billion, six hundred thirty-one million, three hundred forty thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.37631340224 × 10¹¹

Factors of 137631340224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 922610

Divisors of 137631340224

• Number of divisors d(n): 168
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 64 72 74 84 96 111 112 126 144 148 168 192 222 224 252 259 288 296 333 336 444 448 504 518 576 592 666 672 777 888 1008 1036 1184 1332 1344 1554 1776 2016 2072 2331 2368 2664 3108 3552 4032 4144 4662 5328 6216 7104 8288 9324 10656 12432 16576 18648 21312 24864 37296 49728 74592 149184 922561 1845122 2767683 3690244 5535366 6457927 7380488 8303049 11070732 12915854 14760976 16606098 19373781 22141464 25831708 29521952 33212196 34134757 38747562 44282928 51663416 58121343 59043904 66424392 68269514 77495124 88565856 102404271 103326832 116242686 132848784 136539028 154990248 177131712 204808542 206653664 232485372 238943299 265697568 273078056 307212813 309980496 409617084 413307328 464970744 477886598 531395136 546156112 614425626 619960992 716829897 819234168 929941488 955773196 1092312224 1228851252 1239921984 1433659794 1638468336 1859882976 1911546392 2150489691 2184624448 2457702504 2867319588 3276936672 3719765952 3823092784 4300979382 4915405008 5734639176 6553873344 7646185568 8601958764 9830810016 11469278352 15292371136 17203917528 19661620032 22938556704 34407835056 45877113408 68815670112 137631340224
• Sum of all divisors σ(n): 463037558048
• Sum of proper divisors (its aliquot sum) s(n): 325406217824
• 137631340224 is an abundant number, because the sum of its proper divisors (325406217824) is greater than itself. Its abundance is 187774877600

Bases of 137631340224

• Binary: 10000000001011011101111001011011000000₂
• Hexadecimal: 0x200B7796C0
• Base-36: 1R8659S0

Squares and roots of 137631340224

• 137631340224 squared (137631340224²) is 18942385811854440370176
• 137631340224 cubed (137631340224³) is 2607065946325608934952813558759424
• The square root of 137631340224 is 370986.9812055405
• The cube root of 137631340224 is 5163.0434470487

Scales and comparisons

• 137,631,340,224 seconds is equal to 4,376 years, 13 weeks, 7 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,631,340,224 would take you about eight thousand, seven hundred fifty-two 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 137631340224 cubic inches would be around 430.3 feet tall.

Recreational maths with 137631340224

• 137631340224 backwards is 422043136731
• 137631340224 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137631340224's digits is 36
• More coming soon!