348137759843936001

Names of 348137759843936001

• Cardinal: 348137759843936001 can be written as Three hundred forty-eight quadrillion, one hundred thirty-seven trillion, seven hundred fifty-nine billion, eight hundred forty-three million, nine hundred thirty-six thousand and one.

Scientific notation

• Scientific notation: 3.48137759843936001 × 10¹⁷

Factors of 348137759843936001

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2766

Divisors of 348137759843936001

• Number of divisors d(n): 189
• Complete list of divisors:
  1 3 9 27 29 81 87 243 261 311 729 783 841 933 2349 2423 2523 2799 7047 7269 7569 8397 9019 21141 21807 22707 25191 27057 65421 68121 70267 75573 81171 96721 196263 204363 210801 226719 243513 261551 290163 588789 613089 632403 730539 753553 784653 870489 1766367 1897209 2037743 2191617 2260659 2353959 2611467 2804909 5691627 5870929 6113229 6574851 6781977 7061877 7834401 8414727 17074881 17612787 18339687 20345931 21185631 21853037 23503203 25244181 51224643 52838361 55019061 61037793 63556893 65559111 70509609 75732543 81342361 158515083 165057183 170256941 183113379 190670679 196677333 227197629 234354983 244027083 475545249 495171549 510770823 549340137 590031999 633738073 681592887 703064949 732081249 1426635747 1485514647 1532312469 1770095997 1825858919 1901214219 2044778661 2109194847 2196243747 4279907241 4596937407 4937451289 5310287991 5477576757 5703642657 6327584541 6588731241 6796294507 13790812221 14812353867 15930863973 16432730271 17110927971 18982753623 19766193723 20388883521 41372436663 44437061601 49298190813 51332783913 52949908651 56948260869 59298581169 61166650563 124117309989 133311184803 147894572439 153998351739 158849725953 170844782607 183499951689 197092540703 399933554409 443683717317 461995055217 476549177859 550499855067 567842123809 591277622109 1199800663227 1331051151951 1429647533577 1535547350879 1651499565201 1703526371427 1773832866327 3599401989681 4288942600731 4606642052637 4954498695603 5110579114281 5321498598981 12866827802193 13819926157911 15331737342843 15964495796943 16467421590461 38600483406579 41459778473733 45995212028529 47893487390829 49402264771383 124379335421199 137985636085587 143680462172487 148206794314149 373138006263597 413956908256761 444620382942447 477555226123369 1119414018790791 1333861148827341 1432665678370107 4001583446482023 4297997035110321 12004750339446069 12893991105330963 38681973315992889 116045919947978667 348137759843936001
• Sum of all divisors σ(n): 542555136417032947
• Sum of proper divisors (its aliquot sum) s(n): 194417376573096946
• 348137759843936001 is a deficient number, because the sum of its proper divisors (194417376573096946) is less than itself. Its deficiency is 153720383270839055

Bases of 348137759843936001

• Binary: 10011010100110101010111001010110100011001011110011100000001₂
• Hexadecimal: 0x4D4D572B465E701
• Base-36: 2N7WJAZCHN29

Squares and roots of 348137759843936001

• 348137759843936001 squared (348137759843936001²) is 121199899829154057967351491783872001
• 348137759843936001 cubed (348137759843936001³) is 42194261619831135389926702408832917308451051819808001
• 348137759843936001 is a perfect square number. Its square root is 590031999
• The cube root of 348137759843936001 is 703477.7677260173

Scales and comparisons

• 348,137,759,843,936,001 seconds is equal to 11,069,703,902 years, 12 weeks, 3 days, 22 hours, 13 minutes, 21 seconds.
• To count from 1 to 348,137,759,843,936,001 would take you about thirty-three billion, two hundred nine million, one hundred eleven thousand, seven hundred six 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 348137759843936001 cubic inches would be around 58623.1 feet tall.

Recreational maths with 348137759843936001

• 348137759843936001 backwards is 100639348957731843
• 348137759843936001 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 348137759843936001's digits is 81
• More coming soon!