34593456128

Names of 34593456128

• Cardinal: 34593456128 can be written as Thirty-four billion, five hundred ninety-three million, four hundred fifty-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.4593456128 × 10¹⁰

Factors of 34593456128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1650

Divisors of 34593456128

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 224 238 256 272 308 352 374 448 476 512 544 616 704 748 896 952 1024 1088 1232 1309 1408 1496 1613 1792 1904 2048 2176 2464 2618 2816 2992 3226 3584 3808 4096 4352 4928 5236 5632 5984 6452 7168 7616 8192 8704 9856 10472 11264 11291 11968 12904 14336 15232 16384 17408 17743 19712 20944 22528 22582 23936 25808 27421 28672 30464 34816 35486 39424 41888 45056 45164 47872 51616 54842 57344 60928 69632 70972 78848 83776 90112 90328 95744 103232 109684 114688 121856 124201 139264 141944 157696 167552 180224 180656 191488 191947 206464 219368 243712 248402 278528 283888 301631 315392 335104 361312 382976 383894 412928 438736 487424 496804 567776 603262 630784 670208 722624 765952 767788 825856 877472 974848 993608 1135552 1206524 1261568 1340416 1445248 1531904 1535576 1651712 1754944 1949696 1987216 2111417 2271104 2413048 2680832 2890496 3063808 3071152 3303424 3509888 3974432 4222834 4542208 4826096 5361664 5780992 6142304 6606848 7019776 7948864 8445668 9084416 9652192 10723328 11561984 12284608 13213696 14039552 15897728 16891336 18168832 19304384 21446656 23123968 24569216 26427392 28079104 31795456 33782672 36337664 38608768 46247936 49138432 56158208 63590912 67565344 72675328 77217536 92495872 98276864 112316416 127181824 135130688 145350656 154435072 184991744 196553728 224632832 254363648 270261376 290701312 308870144 393107456 449265664 508727296 540522752 617740288 786214912 1017454592 1081045504 1235480576 1572429824 2034909184 2162091008 2470961152 3144859648 4324182016 4941922304 8648364032 17296728064 34593456128
• Sum of all divisors σ(n): 91386900864
• Sum of proper divisors (its aliquot sum) s(n): 56793444736
• 34593456128 is an abundant number, because the sum of its proper divisors (56793444736) is greater than itself. Its abundance is 22199988608

Bases of 34593456128

• Binary: 100000001101111011100100000000000000₂
• Hexadecimal: 0x80DEE4000
• Base-36: FW41TKW

Squares and roots of 34593456128

• 34593456128 squared (34593456128²) is 1196707206879860752384
• 34593456128 cubed (34593456128³) is 41398238259259882704344975409152
• The square root of 34593456128 is 185993.1615086965
• The cube root of 34593456128 is 3258.3518877677

Scales and comparisons

• 34,593,456,128 seconds is equal to 1,099 years, 50 weeks, 1 day, 5 hours, 22 minutes, 8 seconds.
• To count from 1 to 34,593,456,128 would take you about two thousand, one hundred ninety-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 34593456128 cubic inches would be around 271.5 feet tall.

Recreational maths with 34593456128

• 34593456128 backwards is 82165439543
• The number of decimal digits it has is: 11
• The sum of 34593456128's digits is 50
• More coming soon!