13586977829148399

Names of 13586977829148399

• Cardinal: 13586977829148399 can be written as Thirteen quadrillion, five hundred eighty-six trillion, nine hundred seventy-seven billion, eight hundred twenty-nine million, one hundred forty-eight thousand, three hundred ninety-nine.

Scientific notation

• Scientific notation: 1.3586977829148399 × 10¹⁶

Factors of 13586977829148399

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 775

Divisors of 13586977829148399

• Number of divisors d(n): 216
• Complete list of divisors:
  1 3 9 13 23 39 53 69 117 159 169 207 299 477 507 529 683 689 897 1219 1521 1587 2049 2067 2691 3657 3887 4761 6147 6201 6877 8879 8957 10971 11661 15709 15847 20631 26637 26871 28037 34983 36199 47127 47541 61893 79911 80613 84111 89401 108597 115427 141381 142623 204217 206011 252333 268203 325791 346281 361307 364481 466489 470587 612651 618033 804609 832577 1038843 1083921 1093443 1399467 1411761 1837953 1854099 2497731 2654821 3251763 3280329 4198401 4235283 4696991 4738253 6064357 6117631 7493193 7964463 10729247 10823501 14090973 14214759 18193071 18352893 19149271 23893389 24723917 32187741 32470503 42272919 42644277 54579213 55058679 57447813 61060883 74171751 78836641 96563223 97411509 139480211 140705513 172343439 183182649 222515253 236509923 246772681 248940523 318611987 321410921 418440633 422116539 549547947 568650091 709529769 740318043 746821569 955835961 964232763 1255321899 1266349617 1705950273 1813242743 2220954129 2240464707 2867507883 2892698289 3208044853 3236226799 4141955831 4178341973 5117850819 5439728229 7328075701 7392451183 9624134559 9708680397 12425867493 12535025919 13078952093 16319184687 16886435311 21984227103 22177353549 28872403677 29126041191 37277602479 37605077757 39236856279 41704583089 50659305933 53845425803 65952681309 66532060647 95264984113 96101865379 117710568837 125113749267 151977917799 161536277409 168545741123 170026377209 219523659043 285794952339 288305596137 375341247801 388388012153 484608832227 505637223369 510079131627 658570977129 857384857017 864916788411 1165164036459 1238444793469 1516911670107 1530237394881 1975712931387 2191094634599 2210342903717 2853807567559 3495492109377 3715334380407 5049044157989 6573283903797 6631028711151 8561422702677 8932924279519 11146003141221 15147132473967 19719851711391 19893086133453 25684268108031 26798772838557 28484230249787 45441397421901 65637574053857 80396318515671 85452690749361 116128015633747 196912722161571 256358072248083 348384046901241 590738166484713 1045152140703723 1509664203238711 4528992609716133 13586977829148399
• Sum of all divisors σ(n): 22667925322813680
• Sum of proper divisors (its aliquot sum) s(n): 9080947493665281
• 13586977829148399 is a deficient number, because the sum of its proper divisors (9080947493665281) is less than itself. Its deficiency is 4506030335483118

Bases of 13586977829148399

• Binary: 110000010001010100100011001011000100111101011011101111₂
• Hexadecimal: 0x304548CB13D6EF
• Base-36: 3PS6JG23PPR

Squares and roots of 13586977829148399

• 13586977829148399 squared (13586977829148399²) is 184605966529770141086713564263201
• 13586977829148399 cubed (13586977829148399³) is 2508237174368498316238430523284805913793723765199
• The square root of 13586977829148399 is 116563192.4286067201
• The cube root of 13586977829148399 is 238620.4290465199

Scales and comparisons

• 13,586,977,829,148,399 seconds is equal to 432,023,867 years, 35 weeks, 4 days, 8 hours, 46 minutes, 39 seconds.
• To count from 1 to 13,586,977,829,148,399 would take you about one billion, two hundred ninety-six million, seventy-one thousand, six hundred three 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 13586977829148399 cubic inches would be around 19885 feet tall.

Recreational maths with 13586977829148399

• 13586977829148399 backwards is 99384192877968531
• The number of decimal digits it has is: 17
• The sum of 13586977829148399's digits is 99
• More coming soon!