12400737820983648

Names of 12400737820983648

• Cardinal: 12400737820983648 can be written as Twelve quadrillion, four hundred trillion, seven hundred thirty-seven billion, eight hundred twenty million, nine hundred eighty-three thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.2400737820983648 × 10¹⁶

Factors of 12400737820983648

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 2118146

Divisors of 12400737820983648

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 641 1282 1923 2564 3846 5128 5769 7692 10256 11538 15384 20512 23076 30768 32213 46152 61536 64426 92304 96639 128852 184608 193278 257704 289917 386556 515408 579834 773112 1030816 1159668 1546224 2085287 2319336 3092448 4170574 4638672 6255861 8341148 9277344 12511722 16682296 18767583 20648533 25023444 33364592 37535166 41297066 50046888 61945599 66729184 75070332 82594132 100093776 123891198 150140664 165188264 185836797 200187552 247782396 300281328 330376528 371673594 495564792 600562656 660753056 743347188 991129584 1336668967 1486694376 1982259168 2673337934 2973388752 4010006901 5346675868 5946777504 8020013802 10693351736 12030020703 16040027604 21386703472 24060041406 32080055208 42773406944 48120082812 64160110416 67173350131 96240165624 128320220832 134346700262 192480331248 201520050393 268693400524 384960662496 403040100786 537386801048 604560151179 806080201572 1074773602096 1209120302358 1612160403144 2149547204192 2418240604716 3224320806288 4836481209432 6448641612576 9672962418864 19345924837728 43058117433971 86116234867942 129174352301913 172232469735884 258348704603826 344464939471768 387523056905739 516697409207652 688929878943536 775046113811478 1033394818415304 1377859757887072 1550092227622956 2066789636830608 3100184455245912 4133579273661216 6200368910491824 12400737820983648
• Sum of all divisors σ(n): 35320726529970336
• Sum of proper divisors (its aliquot sum) s(n): 22919988708986688
• 12400737820983648 is an abundant number, because the sum of its proper divisors (22919988708986688) is greater than itself. Its abundance is 10519250888003040

Bases of 12400737820983648

• Binary: 101100000011100110011111000100110001011100000101100000₂
• Hexadecimal: 0x2C0E67C4C5C160
• Base-36: 3E3P0B51UG0

Squares and roots of 12400737820983648

• 12400737820983648 squared (12400737820983648²) is 153778298504774274311302283387904
• 12400737820983648 cubed (12400737820983648³) is 1906964362314667509782844884438502731779224993792
• The square root of 12400737820983648 is 111358600.1213361517
• The cube root of 12400737820983648 is 231463.4960937239

Scales and comparisons

• 12,400,737,820,983,648 seconds is equal to 394,305,104 years, 36 weeks, 5 days, 5 hours, 40 minutes, 48 seconds.
• To count from 1 to 12,400,737,820,983,648 would take you about one billion, one hundred eighty-two million, nine hundred fifteen thousand, three hundred fourteen 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 12400737820983648 cubic inches would be around 19288.6 feet tall.

Recreational maths with 12400737820983648

• 12400737820983648 backwards is 84638902873700421
• 12400737820983648 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12400737820983648's digits is 72
• More coming soon!