12638977368612309

Names of 12638977368612309

• Cardinal: 12638977368612309 can be written as Twelve quadrillion, six hundred thirty-eight trillion, nine hundred seventy-seven billion, three hundred sixty-eight million, six hundred twelve thousand, three hundred nine.

Scientific notation

• Scientific notation: 1.2638977368612309 × 10¹⁶

Factors of 12638977368612309

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 11845

Divisors of 12638977368612309

• Number of divisors d(n): 320
• Complete list of divisors:
  1 3 9 11 13 27 33 39 81 99 117 127 143 297 331 351 381 429 891 993 1053 1143 1287 1397 1651 2979 3169 3429 3641 3861 4191 4303 4953 8191 8937 9507 10287 10923 11583 12573 12909 14859 18161 24573 26811 28521 32769 34859 37719 38727 41197 42037 44577 47333 54483 73719 85563 90101 98307 104577 106483 113157 116181 123591 126111 133731 141999 163449 221157 256689 270303 294921 313731 319449 348543 370773 378333 402463 425997 453167 462407 490347 546481 663471 810909 941193 958347 1040257 1048939 1112319 1134999 1171313 1207389 1277991 1359501 1387221 1471041 1639443 2432727 2711221 2823579 2875041 3120771 3146817 3336957 3404997 3513939 3622167 3833973 4078503 4161663 4427093 4918329 5232019 6011291 7298181 8133663 8625123 9362313 9440451 10541817 10866501 11442827 11538329 12235509 12484989 13281279 13523341 13636207 14754987 15696057 18033873 24400989 25957279 28086939 28321353 29823431 31625451 32599503 34328481 34614987 35245873 36706527 37454967 39843837 40570023 40908621 44264961 47088171 54101619 57552209 73202967 77871837 84260817 84964059 89470293 94876353 102985443 103844961 105737619 119531511 121710069 122725863 133215253 141264513 148756751 149998277 162304857 172656627 219608901 233615511 268410879 285530069 308956329 311534883 317212857 337444627 344325067 358594533 365130207 368177589 387704603 399645759 423793539 446270253 449994831 486914571 517969881 700846533 805232637 856590207 926868987 934604649 951638571 1012333881 1032975201 1095390621 1104532767 1163113809 1198937277 1338810759 1349984493 1465367783 1553909643 1731798289 2102539599 2415697911 2569770621 2854915713 3037001643 3098925603 3296574433 3489341427 3596811831 3711890897 3787575737 4016432277 4049953479 4396103349 4476225871 4661728929 5195394867 7709311863 8591859349 9111004929 9296776809 9889723299 10468024281 10790435493 11135672691 11362727211 12049296831 12149860437 13188310047 13428677613 15586184601 19049781179 23127935589 25775578047 27333014787 27890330427 29669169897 31404072843 33407018073 34088181633 36262318763 39564930141 40286032839 42855467629 46758553803 49238484581 57149343537 77326734141 89007509691 94510452839 100221054219 102264544899 108786956289 111694171537 118694790423 120858098517 128566402887 140275661409 147715453743 171448030611 231980202423 267022529073 283531358517 300663162657 306793634697 326360868867 335082514611 362574295551 385699208661 443146361229 471410143919 514344091833 695940607269 850594075551 979082606601 1005247543833 1091166137323 1157097625983 1228635886907 1329439083687 1414230431757 1543032275499 2551782226653 2937247819803 3015742631499 3273498411969 3471292877949 3685907660721 3988317251061 4242691295271 7655346679959 9047227894497 9820495235907 11057722982163 12002827510553 12728073885813 14185159785199 29461485707721 33173168946489 36008482531659 38184221657439 42555479355597 88384457123163 99519506839467 108025447594977 127666438066791 156036757637189 324076342784931 382999314200373 468110272911567 972229028354793 1148997942601119 1404330818734701 4212992456204103 12638977368612309
• Sum of all divisors σ(n): 22433235279544320
• Sum of proper divisors (its aliquot sum) s(n): 9794257910932011
• 12638977368612309 is a deficient number, because the sum of its proper divisors (9794257910932011) is less than itself. Its deficiency is 2844719457680298

Bases of 12638977368612309

• Binary: 101100111001110001010100111100011000010101110111010101₂
• Hexadecimal: 0x2CE7153C615DD5
• Base-36: 3GG561OJOB9

Squares and roots of 12638977368612309

• 12638977368612309 squared (12638977368612309²) is 159743748924294126610820346311481
• 12638977368612309 cubed (12638977368612309³) is 2018997627431440346769570513315675432991644619629
• The square root of 12638977368612309 is 112423206.5394521159
• The cube root of 12638977368612309 is 232936.3747057009

Scales and comparisons

• 12,638,977,368,612,309 seconds is equal to 401,880,385 years, 20 weeks, 4 days, 20 hours, 45 minutes, 9 seconds.
• To count from 1 to 12,638,977,368,612,309 would take you about one billion, two hundred five million, six hundred forty-one thousand, one hundred fifty-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 12638977368612309 cubic inches would be around 19411.4 feet tall.

Recreational maths with 12638977368612309

• 12638977368612309 backwards is 90321686377983621
• 12638977368612309 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12638977368612309's digits is 81
• More coming soon!