13924739457218688

Names of 13924739457218688

• Cardinal: 13924739457218688 can be written as Thirteen quadrillion, nine hundred twenty-four trillion, seven hundred thirty-nine billion, four hundred fifty-seven million, two hundred eighteen thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.3924739457218688 × 10¹⁶

Factors of 13924739457218688

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 543096

Divisors of 13924739457218688

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 32 34 42 48 51 56 62 64 68 84 93 96 102 112 119 124 128 136 168 186 192 204 217 224 238 248 272 336 357 372 384 408 434 448 476 496 527 544 651 672 714 744 816 868 896 952 992 1054 1088 1302 1344 1428 1488 1581 1632 1736 1904 1984 2108 2176 2604 2688 2856 2976 3162 3264 3472 3689 3808 3968 4216 5208 5712 5952 6324 6528 6944 7378 7616 8432 10416 11067 11424 11904 12648 13888 14756 15232 16864 18749 20832 22134 22848 25296 27776 29512 33728 37498 41664 44268 45696 50592 56247 59024 67456 74996 83328 88536 101184 112494 118048 131243 149992 177072 202368 224988 236096 262486 299984 318733 354144 393729 449976 472192 524287 524972 581219 599968 637466 708288 787458 899952 956199 1048574 1049944 1162438 1199936 1274932 1416576 1572861 1574916 1743657 1799904 1912398 2097148 2099888 2231131 2324876 2399872 2549864 3145722 3149832 3487314 3599808 3670009 3824796 4068533 4194296 4199776 4462262 4649752 5099728 6291444 6299664 6693393 6974628 7199616 7340018 7649592 8137066 8388592 8399552 8912879 8924524 9299504 9880723 10199456 11010027 12205599 12582888 12599328 13386786 13949256 14680036 15299184 16252897 16274132 16777184 16799104 17825758 17849048 18599008 19761446 20398912 22020054 24411198 25165776 25198656 26738637 26773572 27898512 29360072 29642169 30598368 32505794 32548264 33554368 35651516 35698096 37198016 39522892 40797824 44040108 48758691 48822396 50331552 50397312 53477274 53547144 55797024 58720144 59284338 61196736 62390153 65011588 65096528 67108736 69165061 71303032 71396192 74396032 79045784 88080216 97517382 97644792 100663104 106954548 107094288 111594048 113770279 117440288 118568676 122393472 124780306 130023176 130193056 138330122 142606064 142792384 158091568 176160432 187170459 195034764 195289584 201326208 207495183 213909096 214188576 223188096 227540558 234880576 237137352 249560612 260046352 260386112 276299249 276660244 285212128 285584768 316183136 341310837 352320864 374340918 390069528 390579168 414990366 427818192 428377152 455081116 469761152 474274704 499121224 520092704 520772224 552598498 553320488 570424256 632366272 682621674 704641728 748681836 780139056 781158336 828897747 829980732 855636384 856754304 910162232 948549408 998242448 1040185408 1105196996 1106640976 1140848512 1264732544 1365243348 1409283456 1497363672 1560278112 1562316672 1657795494 1659961464 1711272768 1820324464 1897098816 1934094743 1996484896 2080370816 2210393992 2213281952 2730486696 2994727344 3120556224 3315590988 3319922928 3422545536 3640648928 3794197632 3868189486 3992969792 4420787984 4426563904 5460973392 5802284229 5989454688 6241112448 6631181976 6639845856 7281297856 7736378972 7985939584 8841575968 8853127808 9829856963 10921946784 11604568458 11978909376 13262363952 13279691712 14562595712 15472757944 17683151936 19659713926 21843893568 23209136916 23957818752 26524727904 26559383424 29489570889 30945515888 35366303872 39319427852 43687787136 46418273832 53049455808 58979141778 61891031776 68808998741 78638855704 92836547664 106098911616 117958283556 123782063552 137617997482 157277711408 167107568371 185673095328 206426996223 235916567112 247564127104 275235994964 304725565853 314555422816 334215136742 371346190656 412853992446 471833134224 501322705113 550471989928 609451131706 629110845632 668430273484 742692381312 825707984892 914176697559 943666268448 1002645410226 1100943979856 1169752978597 1218902263412 1258221691264 1336860546968 1651415969784 1828353395118 1887332536896 2005290820452 2133078960971 2201887959712 2339505957194 2437804526824 2673721093936 3302831939568 3509258935791 3656706790236 3774665073792 4010581640904 4266157921942 4403775919424 4679011914388 4875609053648 5180334619501 5347442187872 6399236882913 6605663879136 7018517871582 7313413580472 8021163281808 8532315843884 8807551838848 9358023828776 9751218107296 10360669239002 10694884375744 12798473765826 13211327758272 14037035743164 14626827160944 15541003858503 16042326563616 17064631687768 18716047657552 19502436214592 20721338478004 21389768751488 25596947531652 26422655516544 28074071486328 29253654321888 31082007717006 32084653127232 34129263375536 36262342336507 37432095315104 39004872429184 41442676956008 51193895063304 56148142972656 58507308643776 62164015434012 64169306254464 68258526751072 72524684673014 74864190630208 82885353912016 102387790126608 108787027009521 112296285945312 117014617287552 124328030868024 136517053502144 145049369346028 149728381260416 165770707824032 204775580253216 217574054019042 224592571890624 248656061736048 273034107004288 290098738692056 331541415648064 409551160506432 435148108038084 449185143781248 497312123472096 580197477384112 663082831296128 819102321012864 870296216076168 994624246944192 1160394954768224 1740592432152336 1989248493888384 2320789909536448 3481184864304672 4641579819072896 6962369728609344 13924739457218688
• Sum of all divisors σ(n): 46204452864000000
• Sum of proper divisors (its aliquot sum) s(n): 32279713406781312
• 13924739457218688 is an abundant number, because the sum of its proper divisors (32279713406781312) is greater than itself. Its abundance is 18354973949562624

Bases of 13924739457218688

• Binary: 110001011110000111101000001100111011111111100010000000₂
• Hexadecimal: 0x31787A0CEFF880
• Base-36: 3T3WOZUPJEO

Squares and roots of 13924739457218688

• 13924739457218688 squared (13924739457218688²) is 193898368951423001693792656441344
• 13924739457218688 cubed (13924739457218688³) is 2699984268828226834492181228520040131362052636672
• The square root of 13924739457218688 is 118003133.2517009397
• The cube root of 13924739457218688 is 240581.5725540377

Scales and comparisons

• 13,924,739,457,218,688 seconds is equal to 442,763,642 years, 36 weeks, 44 minutes, 48 seconds.
• To count from 1 to 13,924,739,457,218,688 would take you about one billion, three hundred twenty-eight million, two hundred ninety thousand, nine hundred twenty-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 13924739457218688 cubic inches would be around 20048.5 feet tall.

Recreational maths with 13924739457218688

• 13924739457218688 backwards is 88681275493742931
• The number of decimal digits it has is: 17
• The sum of 13924739457218688's digits is 87
• More coming soon!