137107008812224

Names of 137107008812224

• Cardinal: 137107008812224 can be written as One hundred thirty-seven trillion, one hundred seven billion, eight million, eight hundred twelve thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.37107008812224 × 10¹⁴

Factors of 137107008812224

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 54

Divisors of 137107008812224

• Number of divisors d(n): 112
• Complete list of divisors:
  1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 902 1312 1681 1804 2624 3362 3608 6724 7216 13448 14432 18491 26896 28864 36982 53792 68921 73964 107584 137842 147928 275684 295856 551368 591712 758131 1102736 1183424 1516262 2205472 2825761 3032524 4410944 5651522 6065048 11303044 12130096 22606088 24260192 31083371 45212176 48520384 62166742 90424352 115856201 124333484 180848704 231712402 248666968 463424804 497333936 926849608 994667872 1274418211 1853699216 1989335744 2548836422 3707398432 4750104241 5097672844 7414796864 9500208482 10195345688 19000416964 20390691376 38000833928 40781382752 52251146651 76001667856 81562765504 104502293302 152003335712 194754273881 209004586604 304006671424 389508547762 418009173208 779017095524 836018346416 1558034191048 1672036692832 2142297012691 3116068382096 3344073385664 4284594025382 6232136764192 8569188050764 12464273528384 17138376101528 34276752203056 68553504406112 137107008812224
• Sum of all divisors σ(n): 304225651229472
• Sum of proper divisors (its aliquot sum) s(n): 167118642417248
• 137107008812224 is an abundant number, because the sum of its proper divisors (167118642417248) is greater than itself. Its abundance is 30011633605024

Bases of 137107008812224

• Binary: 11111001011001010110110100011100111010011000000₂
• Hexadecimal: 0x7CB2B68E74C0
• Base-36: 1CLM391R5S

Squares and roots of 137107008812224

• 137107008812224 squared (137107008812224²) is 18798331865435269591291826176
• 137107008812224 cubed (137107008812224³) is 2577383052729344732406701550364853631975424
• The square root of 137107008812224 is 11709270.2083530381
• The cube root of 137107008812224 is 51564.7858825865

Scales and comparisons

• 137,107,008,812,224 seconds is equal to 4,359,578 years, 40 weeks, 4 days, 1 hour, 37 minutes, 4 seconds.
• To count from 1 to 137,107,008,812,224 would take you about ten million, eight hundred ninety-eight thousand, nine hundred forty-six 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 137107008812224 cubic inches would be around 4297.1 feet tall.

Recreational maths with 137107008812224

• 137107008812224 backwards is 422218800701731
• The number of decimal digits it has is: 15
• The sum of 137107008812224's digits is 46
• More coming soon!