13597520972806953

Names of 13597520972806953

• Cardinal: 13597520972806953 can be written as Thirteen quadrillion, five hundred ninety-seven trillion, five hundred twenty billion, nine hundred seventy-two million, eight hundred six thousand, nine hundred fifty-three.

Scientific notation

• Scientific notation: 1.3597520972806953 × 10¹⁶

Factors of 13597520972806953

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 33489

Divisors of 13597520972806953

• Number of divisors d(n): 320
• Complete list of divisors:
  1 3 7 9 13 19 21 27 39 57 63 81 91 117 133 171 189 247 273 351 367 399 513 567 741 819 1053 1101 1197 1539 1729 2223 2457 2569 3303 3591 4771 5187 6669 6973 7371 7707 9909 10773 13537 14313 15561 19543 20007 20919 23121 29727 33397 40611 42939 46683 48811 58629 62757 69363 90649 94759 100191 121833 128817 136801 140049 146433 175887 175981 188271 208089 254059 257203 271947 284277 300573 365499 371317 386451 410403 439299 527661 527943 564813 634543 762177 771609 815841 852831 901719 1096497 1113951 1231209 1231867 1317897 1582983 1583829 1778413 1800421 1903629 2286531 2314827 2447523 2558493 2599219 2705157 3341853 3343639 3693627 3695601 3953691 4751487 4827121 4968079 5335239 5401263 5710887 6859593 6944481 7172281 7342569 7675479 7797657 10025559 10030917 11080881 11086803 14254461 14481363 14904237 16005717 16203789 17132661 20578779 20833443 21516843 23392971 23405473 30076677 30092751 33260409 33789847 34776553 43444089 44712711 48017151 48611367 50205967 51397983 64550529 64585027 70178913 70216419 90278253 93239653 94393501 99781227 101369541 104329659 130332267 134138133 136273339 144051453 145834101 150617901 193651587 193755081 210536739 210649257 264553591 270834759 279718959 283180503 304108623 312988977 390996801 402414399 408820017 451853703 452095189 580954761 581265243 631947771 652677571 660754507 793660773 839156877 849541509 912325869 938966931 953913373 1226460051 1227115513 1355561109 1356285567 1743795729 1771553407 1851875137 1895843313 1958032713 1982263521 2380982319 2517470631 2548624527 2736977607 2816900793 2861740119 3439196683 3679380153 3681346539 4066683327 4068856701 5026518229 5231387187 5314660221 5555625411 5874098139 5946790563 7142946957 7552411893 7645873581 8585220357 8589808591 10317590049 11038140459 11044039617 12206570103 12400873849 15079554687 15943980663 16666876233 17622294417 17840371689 21428840871 24074376781 25755661071 25769425773 30952770147 33132118851 35185627603 36619710309 37202621547 45238664061 47831941989 50000628699 52866883251 53521115067 65344736977 72223130343 77266983213 77308277319 92858310441 97091167897 99396356553 105556882809 111607864641 135715992183 143495825967 150001886097 196034210931 216669391029 231924831957 278574931323 291273503691 316670648427 334823593923 407147976549 457413158839 588102632793 650008173087 679638175279 695774495871 873820511073 950011945281 1004470781769 1262185182661 1372239476517 1764307898379 1844732190043 1950024519261 2038914525837 2621461533219 2850035835843 3786555547983 4116718429551 5292923695137 5534196570129 6116743577511 7864384599657 8835296278627 11359666643949 12350155288653 12913125330301 16602589710387 18350230732533 23981518470559 26505888835881 34078999931847 37050465865959 38739375990903 49807769131161 55050692197599 71944555411677 79517666507643 102236999795541 116218127972709 149423307393483 167870629293913 215833666235031 238552999522929 348654383918127 503611887881739 647500998705093 715658998568787 1045963151754381 1510835663645217 1942502996115279 4532506990935651 13597520972806953
• Sum of all divisors σ(n): 26390594341027840
• Sum of proper divisors (its aliquot sum) s(n): 12793073368220887
• 13597520972806953 is a deficient number, because the sum of its proper divisors (12793073368220887) is less than itself. Its deficiency is 804447604586066

Bases of 13597520972806953

• Binary: 110000010011101101111110001111011010001111101100101001₂
• Hexadecimal: 0x304EDF8F68FB29
• Base-36: 3PVX2WDMDK9

Squares and roots of 13597520972806953

• 13597520972806953 squared (13597520972806953²) is 184892576605924945466487805144209
• 13597520972806953 cubed (13597520972806953³) is 2514080688115380644808405206149650095675682885177
• The square root of 13597520972806953 is 116608408.6711029301
• The cube root of 13597520972806953 is 238682.1341841141

Scales and comparisons

• 13,597,520,972,806,953 seconds is equal to 432,359,107 years, 2 weeks, 1 day, 1 hour, 2 minutes, 33 seconds.
• To count from 1 to 13,597,520,972,806,953 would take you about one billion, two hundred ninety-seven million, seventy-seven thousand, three hundred twenty-one 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 13597520972806953 cubic inches would be around 19890.2 feet tall.

Recreational maths with 13597520972806953

• 13597520972806953 backwards is 35960827902579531
• 13597520972806953 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13597520972806953's digits is 81
• More coming soon!