34994919407013144

Names of 34994919407013144

• Cardinal: 34994919407013144 can be written as Thirty-four quadrillion, nine hundred ninety-four trillion, nine hundred nineteen billion, four hundred seven million, thirteen thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.4994919407013144 × 10¹⁶

Factors of 34994919407013144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 553439

Divisors of 34994919407013144

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 529 552 621 828 1058 1242 1587 1656 2116 2484 3174 4232 4761 4968 6348 9522 12696 14283 19044 28566 38088 57132 114264 553411 1106822 1660233 2213644 3320466 4427288 4980699 6640932 9961398 12728453 13281864 14942097 19922796 25456906 29884194 38185359 39845592 50913812 59768388 76370718 101827624 114556077 119536776 152741436 229112154 292754419 305482872 343668231 458224308 585508838 687336462 878263257 916448616 1171017676 1374672924 1756526514 2342035352 2634789771 2749345848 3513053028 5269579542 7026106056 7904369313 10539159084 15808738626 21078318168 31617477252 63234954504 306263734921 612527469842 918791204763 1225054939684 1837582409526 2450109879368 2756373614289 3675164819052 5512747228578 7044065903183 7350329638104 8269120842867 11025494457156 14088131806366 16538241685734 21132197709549 22050988914312 28176263612732 33076483371468 42264395419098 56352527225464 63396593128647 66152966742936 84528790838196 126793186257294 162013515773209 169057581676392 190189779385941 253586372514588 324027031546418 380379558771882 486040547319627 507172745029176 648054063092836 760759117543764 972081094639254 1296108126185672 1458121641958881 1521518235087528 1944162189278508 2916243283917762 3888324378557016 4374364925876643 5832486567835524 8748729851753286 11664973135671048 17497459703506572 34994919407013144
• Sum of all divisors σ(n): 101618490868889400
• Sum of proper divisors (its aliquot sum) s(n): 66623571461876256
• 34994919407013144 is an abundant number, because the sum of its proper divisors (66623571461876256) is greater than itself. Its abundance is 31628652054863112

Bases of 34994919407013144

• Binary: 1111100010100111011000110011100001100101100110100011000₂
• Hexadecimal: 0x7C53B19C32CD18
• Base-36: 9KKNW1CW460

Squares and roots of 34994919407013144

• 34994919407013144 squared (34994919407013144²) is 1224644384303345178090371388764736
• 34994919407013144 cubed (34994919407013144³) is 42856331530946797073561892081541421445165475689984
• The square root of 34994919407013144 is 187069290.3899866297
• The cube root of 34994919407013144 is 327090.8026752831

Scales and comparisons

• 34,994,919,407,013,144 seconds is equal to 1,112,730,190 years, 39 weeks, 32 minutes, 24 seconds.
• To count from 1 to 34,994,919,407,013,144 would take you about three billion, three hundred thirty-eight million, one hundred ninety thousand, five hundred seventy-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 34994919407013144 cubic inches would be around 27257.6 feet tall.

Recreational maths with 34994919407013144

• 34994919407013144 backwards is 44131070491949943
• 34994919407013144 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34994919407013144's digits is 72
• More coming soon!