34718973130401

Names of 34718973130401

• Cardinal: 34718973130401 can be written as Thirty-four trillion, seven hundred eighteen billion, nine hundred seventy-three million, one hundred thirty thousand, four hundred one.

Scientific notation

• Scientific notation: 3.4718973130401 × 10¹³

Factors of 34718973130401

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 375

Divisors of 34718973130401

• Number of divisors d(n): 192
• Complete list of divisors:
  1 3 7 21 23 49 61 69 147 161 183 281 343 427 483 529 843 1029 1127 1281 1403 1587 1967 2989 3381 3703 3721 4209 5901 6463 7889 8967 9821 11109 11163 13769 17141 19389 20923 23667 25921 26047 29463 32269 41307 45241 51423 62769 68747 77763 78141 85583 96383 96807 119987 135723 148649 181447 182329 206241 225883 226981 256749 289149 316687 359961 394243 445947 481229 544341 546987 599081 677649 680943 839909 950061 1040543 1045601 1182729 1276303 1443687 1581181 1588867 1797243 1968409 2216809 2519727 2759701 3121629 3136803 3828909 4193567 4743543 4766601 5220563 5879363 5905227 6650427 7283801 7319207 8279103 9067589 11068267 11122069 12580701 13778863 15661689 17638089 19317907 21851403 21957621 24048823 27202767 29354969 33204801 33366207 36543941 41336589 50986607 51234449 57953721 63473123 63781661 72146469 77854483 88064907 96452041 109631823 120072949 135225349 152959821 153703347 168341761 190419369 191344983 233563449 255807587 289356123 358641143 360218847 405676047 444311861 446471627 505025283 553122929 675164287 767422761 840510643 1075923429 1178392327 1332935583 1339414881 1466978203 1659368787 1790653109 2025492861 2521531929 3110183027 3125301389 3535176981 3871860503 4400934609 5371959327 5883574501 8248746289 9330549081 9375904167 10268847421 11615581509 17650723503 21877109723 24746238867 27103023521 30806542263 33740498669 41185021507 65631329169 71881931947 81309070563 101221496007 123555064521 189721164647 215645795841 236183490683 503173523629 569163493941 708550472049 1509520570887 1653284434781 4959853304343 11572991043467 34718973130401
• Sum of all divisors σ(n): 57578756390400
• Sum of proper divisors (its aliquot sum) s(n): 22859783259999
• 34718973130401 is a deficient number, because the sum of its proper divisors (22859783259999) is less than itself. Its deficiency is 11859189870402

Bases of 34718973130401

• Binary: 111111001001110100100000011110111011010100001₂
• Hexadecimal: 0x1F93A40F76A1
• Base-36: CB1OC6N4X

Squares and roots of 34718973130401

• 34718973130401 squared (34718973130401²) is 1205407095229506613350420801
• 34718973130401 cubed (34718973130401³) is 41850496550467959537257591216065595871201
• The square root of 34718973130401 is 5892280.8088550057
• The cube root of 34718973130401 is 32622.8793968445

Scales and comparisons

• 34,718,973,130,401 seconds is equal to 1,103,955 years, 49 weeks, 3 days, 18 hours, 53 minutes, 21 seconds.
• To count from 1 to 34,718,973,130,401 would take you about two million, seven hundred fifty-nine thousand, eight hundred eighty-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 34718973130401 cubic inches would be around 2718.6 feet tall.

Recreational maths with 34718973130401

• 34718973130401 backwards is 10403137981743
• The number of decimal digits it has is: 14
• The sum of 34718973130401's digits is 51
• More coming soon!