648672138409375104

Names of 648672138409375104

• Cardinal: 648672138409375104 can be written as Six hundred forty-eight quadrillion, six hundred seventy-two trillion, one hundred thirty-eight billion, four hundred nine million, three hundred seventy-five thousand, one hundred four.

Scientific notation

• Scientific notation: 6.48672138409375104 × 10¹⁷

Factors of 648672138409375104

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1002497

Divisors of 648672138409375104

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1681 1968 2624 3362 3936 5043 5248 6724 7872 10086 13448 15744 20172 26896 40344 53792 80688 107584 161376 215168 322752 645504 1002451 2004902 3007353 4009804 6014706 8019608 12029412 16039216 24058824 32078432 41100491 48117648 64156864 82200982 96235296 123301473 128313728 164401964 192470592 246602946 328803928 384941184 493205892 657607856 986411784 1315215712 1685120131 1972823568 2630431424 3370240262 3945647136 5055360393 5260862848 6740480524 7891294272 10110720786 13480961048 15782588544 20221441572 26961922096 40442883144 53923844192 80885766288 107847688384 161771532576 215695376768 323543065152 647086130304 1004908007401 2009816014802 3014724022203 4019632029604 6029448044406 8039264059208 12058896088812 16078528118416 24117792177624 32157056236832 41201228303441 48235584355248 64314112473664 82402456606882 96471168710496 123603684910323 128628224947328 164804913213764 192942337420992 247207369820646 329609826427528 385884674841984 494414739641292 659219652855056 988829479282584 1318439305710112 1689250360441081 1977658958565168 2636878611420224 3378500720882162 3955317917130336 5067751081323243 5273757222840448 6757001441764324 7910635834260672 10135502162646486 13514002883528648 15821271668521344 20271004325292972 27028005767057296 40542008650585944 54056011534114592 81084017301171888 108112023068229184 162168034602343776 216224046136458368 324336069204687552 648672138409375104
• Sum of all divisors σ(n): 1766087388456253380
• Sum of proper divisors (its aliquot sum) s(n): 1117415250046878276
• 648672138409375104 is an abundant number, because the sum of its proper divisors (1117415250046878276) is greater than itself. Its abundance is 468743111637503172

Bases of 648672138409375104

• Binary: 100100000000100010111101111110000001100101010111010110000000₂
• Hexadecimal: 0x9008BDF81957580
• Base-36: 4XF32YI6N7UO

Squares and roots of 648672138409375104

• 648672138409375104 squared (648672138409375104²) is 420775543148591492078892679775010816
• 648672138409375104 cubed (648672138409375104³) is 272945371364563126592536508785517491975578357401124864
• The square root of 648672138409375104 is 805401849.0228186111
• The cube root of 648672138409375104 is 865648.8336529197

Scales and comparisons

• 648,672,138,409,375,104 seconds is equal to 20,625,767,526 years, 39 weeks, 1 day, 3 hours, 18 minutes, 24 seconds.
• To count from 1 to 648,672,138,409,375,104 would take you about sixty-one billion, eight hundred seventy-seven million, three hundred two thousand, five hundred eighty 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 648672138409375104 cubic inches would be around 72137.4 feet tall.

Recreational maths with 648672138409375104

• 648672138409375104 backwards is 401573904831276846
• The number of decimal digits it has is: 18
• The sum of 648672138409375104's digits is 78
• More coming soon!