137422176768

Names of 137422176768

• Cardinal: 137422176768 can be written as One hundred thirty-seven billion, four hundred twenty-two million, one hundred seventy-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37422176768 × 10¹¹

Factors of 137422176768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 175

Divisors of 137422176768

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 127 128 129 144 172 192 254 256 258 288 344 381 384 387 508 512 516 576 688 762 768 774 1016 1032 1143 1152 1376 1524 1536 1548 1849 2032 2064 2286 2304 2752 3048 3096 3698 4064 4128 4572 4608 5461 5504 5547 6096 6192 7396 8128 8256 9144 10922 11008 11094 12192 12384 14792 16129 16256 16383 16512 16641 18288 21844 22016 22188 24384 24768 29584 32258 32512 32766 33024 33282 36576 43688 44376 48387 48768 49149 49536 59168 64516 65024 65532 66048 66564 73152 87376 88752 96774 97536 98298 99072 118336 129032 131064 133128 145161 146304 174752 177504 193548 195072 196596 198144 234823 236672 258064 262128 266256 290322 292608 349504 355008 387096 393192 469646 473344 516128 524256 532512 580644 585216 693547 699008 704469 710016 774192 786384 939292 946688 1032256 1048512 1065024 1161288 1387094 1398016 1408938 1420032 1548384 1572768 1878584 2064512 2080641 2097024 2113407 2130048 2322576 2774188 2796032 2817876 2840064 3096768 3145536 3757168 4129024 4161282 4194048 4226814 4260096 4645152 5548376 5635752 6193536 6241923 6291072 7514336 8258048 8322564 8388096 8453628 8520192 9290304 11096752 11271504 12387072 12483846 12582144 15028672 16645128 16907256 18580608 22193504 22543008 24774144 24967692 25164288 29822521 30057344 33290256 33814512 37161216 44387008 45086016 49935384 59645042 60114688 66580512 67629024 74322432 88774016 89467563 90172032 99870768 119290084 120229376 133161024 135258048 177548032 178935126 180344064 199741536 238580168 266322048 268402689 270516096 355096064 357870252 360688128 399483072 477160336 532644096 536805378 541032192 715740504 798966144 954320672 1065288192 1073610756 1082064384 1431481008 1597932288 1908641344 2147221512 2862962016 3195864576 3817282688 4294443024 5725924032 7634565376 8588886048 11451848064 15269130752 17177772096 22903696128 34355544192 45807392256 68711088384 137422176768
• Sum of all divisors σ(n): 409270088799
• Sum of proper divisors (its aliquot sum) s(n): 271847912031
• 137422176768 is an abundant number, because the sum of its proper divisors (271847912031) is greater than itself. Its abundance is 134425735263

Bases of 137422176768

• Binary: 1111111111111000000000000001000000000₂
• Hexadecimal: 0x1FFF000200
• Base-36: 1R4PM680

Squares and roots of 137422176768

• 137422176768 squared (137422176768²) is 18884854667655438925824
• 137422176768 cubed (137422176768³) is 2595197836376535620181213768056832
• The square root of 137422176768 is 370704.9726777347
• The cube root of 137422176768 is 5160.4266313915

Scales and comparisons

• 137,422,176,768 seconds is equal to 4,369 years, 31 weeks, 1 day, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,422,176,768 would take you about eight thousand, seven hundred thirty-nine 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 137422176768 cubic inches would be around 430 feet tall.

Recreational maths with 137422176768

• 137422176768 backwards is 867671224731
• The number of decimal digits it has is: 12
• The sum of 137422176768's digits is 54
• More coming soon!