13731122519776431

Names of 13731122519776431

• Cardinal: 13731122519776431 can be written as Thirteen quadrillion, seven hundred thirty-one trillion, one hundred twenty-two billion, five hundred nineteen million, seven hundred seventy-six thousand, four hundred thirty-one.

Scientific notation

• Scientific notation: 1.3731122519776431 × 10¹⁶

Factors of 13731122519776431

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 682

Divisors of 13731122519776431

• Number of divisors d(n): 336
• Complete list of divisors:
  1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 243 297 363 441 539 567 661 693 729 847 891 1089 1323 1331 1617 1701 1983 2079 2541 2673 3267 3969 3993 4627 4851 5103 5929 5949 6237 7271 7623 8019 9317 9801 11907 11979 13881 14553 17787 17847 18711 21813 22869 27951 29403 32389 35721 35937 41643 43659 50897 53361 53541 56133 65219 65439 68607 79981 83853 88209 97167 107811 124929 130977 152691 160083 160623 195657 196317 205821 239943 251559 291501 323433 356279 374787 392931 436921 458073 480249 481869 559867 586971 588951 617463 719829 754677 874503 879791 970299 1068837 1124361 1310763 1374219 1440747 1679601 1760913 1766853 2159487 2264031 2623509 2639373 3058447 3206511 3373083 3919069 3932289 4122657 4322241 4806131 5038803 5282739 5300559 6158537 6478461 6792093 7870527 7918119 9175341 9619533 11757207 11796867 12367971 14418393 15116409 15848217 18475611 19435383 21409129 23611581 23754357 27526023 28858599 33642917 35271621 35390601 37103913 43109759 43255179 45349227 47544651 52867441 55426833 58306149 64227387 71263071 82578069 86575797 100928751 105814863 106171803 129329277 129765537 136047681 158602323 166280499 192682161 213789213 235500419 247734207 259727391 288804781 302786253 317444589 318515409 370072087 387987831 389296611 408143043 475806969 498841497 578046483 581541851 641367639 706501257 743202621 866414343 908358759 952333767 1110216261 1163963493 1167889833 1427420907 1496524491 1734139449 1744625553 2021633467 2119503771 2229607863 2590504609 2599243029 2725076277 2857001301 3176852591 3330648783 3491890479 3503669499 4070792957 4282262721 4489573473 5202418347 5233876659 6064900401 6358511313 7771513827 7797729087 8175228831 9530557773 9991946349 10475671437 12212378871 12846788163 14151434269 15607255041 15701629977 18194701203 19075533939 22237968137 23314541481 23393187261 24525686493 28495550699 28591673319 29975839047 31427014311 34945378501 36637136613 38540364489 42454302807 47104889931 54584103609 57226601817 66713904411 69943624443 70179561783 85486652097 85775019957 89927517141 104836135503 109911409839 127362908421 141314669793 155665776959 163752310827 171679805451 200141713233 209830873329 210538685349 244617649507 256459956291 257325059871 269782551423 314508406509 329734229517 382088725263 384399163511 423944009379 466997330877 491256932481 600425139699 629492619987 733852948521 769379868873 771975179613 943525219527 989202688551 1146266175789 1153197490533 1400991992631 1473770797443 1712323546549 1801275419097 1888477859961 2201558845563 2308139606619 2315925538839 2690794144577 2830575658581 2967608065653 3438798527367 3459592471599 4202975977893 5136970639647 5403826257291 6604676536689 6924418819857 8072382433731 8491726975743 10316395582101 10378777414797 12608927933679 15410911918941 16211478771873 18835559012039 19814029610067 20773256459571 24217147301193 25475180927229 31136332244391 37826783801037 46232735756823 56506677036117 59442088830201 72651441903579 93408996733173 113480351403111 138698207270469 169520031108351 178326266490603 217954325710737 280226990199519 416094621811407 508560093325053 653862977132211 1248283865434221 1525680279975159 1961588931396633 4577040839925477 13731122519776431
• Sum of all divisors σ(n): 26381409592641696
• Sum of proper divisors (its aliquot sum) s(n): 12650287072865265
• 13731122519776431 is a deficient number, because the sum of its proper divisors (12650287072865265) is less than itself. Its deficiency is 1080835446911166

Bases of 13731122519776431

• Binary: 110000110010000110001000011000001010001001110010101111₂
• Hexadecimal: 0x30C86218289CAF
• Base-36: 3R79YLP73XR

Squares and roots of 13731122519776431

• 13731122519776431 squared (13731122519776431²) is 188543725653111443738702223097761
• 13731122519776431 cubed (13731122519776431³) is 2588916997277987720989666618786512311361976670991
• The square root of 13731122519776431 is 117179872.5028169289
• The cube root of 13731122519776431 is 239461.3063581933

Scales and comparisons

• 13,731,122,519,776,431 seconds is equal to 436,607,222 years, 50 weeks, 6 days, 1 hour, 53 minutes, 51 seconds.
• To count from 1 to 13,731,122,519,776,431 would take you about one billion, three hundred nine million, eight hundred twenty-one thousand, six hundred sixty-eight 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 13731122519776431 cubic inches would be around 19955.1 feet tall.

Recreational maths with 13731122519776431

• 13731122519776431 backwards is 13467791522113731
• 13731122519776431 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13731122519776431's digits is 63
• More coming soon!