138068133328125

Names of 138068133328125

• Cardinal: 138068133328125 can be written as One hundred thirty-eight trillion, sixty-eight billion, one hundred thirty-three million, three hundred twenty-eight thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.38068133328125 × 10¹⁴

Factors of 138068133328125

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 58

Divisors of 138068133328125

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 3 5 7 9 11 13 15 19 21 25 33 35 39 45 55 57 63 65 75 77 91 95 99 105 117 121 125 133 143 165 169 171 175 195 209 225 231 247 273 275 285 315 325 361 363 375 385 399 429 455 475 495 507 525 585 605 625 627 665 693 715 741 819 825 845 847 855 875 975 1001 1045 1083 1089 1125 1155 1183 1197 1235 1287 1365 1375 1425 1463 1521 1573 1575 1625 1729 1805 1815 1859 1875 1881 1925 1995 2145 2223 2275 2299 2375 2475 2527 2535 2541 2625 2717 2925 3003 3025 3125 3135 3211 3249 3325 3465 3549 3575 3705 3971 4095 4125 4225 4235 4275 4375 4389 4693 4719 4875 5005 5187 5225 5415 5445 5577 5625 5775 5915 5985 6175 6435 6825 6859 6875 6897 7125 7315 7581 7605 7623 7865 7875 8125 8151 8645 9009 9025 9075 9295 9375 9405 9625 9633 9975 10647 10725 11011 11115 11375 11495 11875 11913 12375 12635 12675 12705 13013 13125 13167 13585 14079 14157 14625 15015 15125 15561 15625 15675 16055 16093 16245 16625 16731 17325 17745 17875 18525 19019 19855 20449 20475 20577 20625 20691 21125 21175 21375 21875 21945 22477 22743 23465 23595 24375 24453 25025 25935 26125 27075 27225 27797 27885 28125 28875 28899 29575 29887 29925 30875 32175 32851 33033 34125 34295 34375 34485 35321 35625 35739 36575 37905 38025 38115 39039 39325 39375 40625 40755 42237 43225 43681 45045 45125 45375 46475 46875 47025 48013 48125 48165 48279 49875 51623 53235 53625 55055 55575 56875 57057 57475 59375 59565 61009 61347 61731 61875 63175 63375 63525 65065 65625 65835 67431 67925 70395 70785 73125 75075 75449 75625 77805 78375 80275 80465 81225 83125 83391 83655 86625 88725 89167 89375 89661 92625 95095 98553 99099 99275 102245 102375 102885 103125 103455 105625 105875 105963 106875 109375 109725 112385 113715 117117 117325 117975 121875 122265 125125 129675 130625 131043 135375 136125 138985 139425 140625 143143 144039 144375 144495 144837 147875 149435 149625 154375 154869 160875 164255 165165 170625 171171 171475 171875 172425 176605 178125 178695 182875 183027 184041 189525 190125 190575 195195 196625 196875 202293 203125 203775 209209 211185 216125 218405 225225 225625 226347 226875 232375 235125 240065 240625 240825 241395 247247 249375 250173 258115 266175 267501 268125 268983 275275 277875 284375 285285 287375 295659 296875 297825 305045 305767 306735 308655 309375 315875 316875 317625 317889 325325 328125 329175 337155 339625 351975 353925 361361 365625 375375 377245 378125 388531 389025 391875 393129 401375 402325 406125 415625 416955 418275 427063 429429 432117 433125 443625 445835 446875 448305 463125 464607 475475 492765 495495 496375 511225 511875 514425 515625 517275 528125 528143 529375 529815 534375 548625 549081 561925 567853 568575 585585 586625 589875 609375 611325 624169 625625 627627 648375 653125 655215 671099 676875 679041 680625 694925 697125 715715 720195 721875 722475 724185 739375 741741 747175 748125 771875 774345 802503 804375 821275 825825 829939 853125 855855 857375 862125 883025 890625 893475 914375 915135 917301 920205 947625 950625 952875 975975 980837 983125 984375 1011465 1018875 1046045 1055925 1080625 1084083 1092025 1126125 1128125 1131735 1134375 1159171 1161875 1165593 1175625 1200325 1203125 1204125 1206975 1236235 1246875 1250865 1281189 1288287 1290575 1330875 1337505 1340625 1344915 1376375 1389375 1421875 1426425 1436875 1478295 1489125 1525225 1528835 1533675 1543275 1546875 1579375 1584375 1584429 1588125 1589445 1626625 1645875 1685775 1698125 1703559 1759875 1769625 1806805 1828125 1872507 1876875 1882881 1886225 1890625 1942655 1945125 1959375 1965645 2006875 2011625 2013297 2030625 2078125 2084775 2091375 2135315 2147145 2160585 2165625 2218125 2225223 2229175 2234375 2241525 2315625 2323035 2377375 2463825 2477475 2481875 2489817 2556125 2559375 2572125 2586375 2640625 2640715 2646875 2649075 2671875 2719717 2743125 2745405 2751903 2809625 2839265 2842875 2927925 2933125 2942511 2949375 3056625 3120845 3128125 3138135 3241875 3252249 3265625 3276075 3355495 3384375 3395205 3403125 3474625 3477513 3485625 3496779 3578575 3600975 3609375 3612375 3620925 3696875 3708705 3735875 3740625 3843567 3859375 3871725 3974971 4012515 4021875 4106375 4129125 4149695 4265625 4279275 4286875 4310625 4415125 4467375 4571875 4575675 4586505 4601025 4697693 4738125 4753125 4753287 4764375 4879875 4904185 4915625 5057325 5094375 5110677 5230225 5279625 5403125 5420415 5460125 5617521 5630625 5640625 5658675 5671875 5795855 5809375 5809573 5827965 5878125 6001625 6020625 6034875 6039891 6181175 6234375 6254325 6405945 6441435 6452875 6654375 6687525 6703125 6724575 6865859 6881875 6946875 7132125 7184375 7382089 7391475 7445625 7469451 7626125 7644175 7668375 7716375 7896875 7921875 7922145 7940625 7947225 8114197 8133125 8159151 8229375 8428875 8490625 8517795 8799375 8827533 8848125 9034025 9362535 9384375 9414405 9431125 9713275 9725625 9796875 9828225 10034375 10058125 10066485 10153125 10423875 10432539 10456875 10676575 10735725 10789207 10802925 10828125 11090625 11126115 11145875 11207625 11578125 11615175 11886875 11924913 12319125 12387375 12409375 12449085 12750881 12780625 12796875 12860625 12931875 13203575 13234375 13245375 13598585 13715625 13727025 13759515 14048125 14093079 14196325 14214375 14639625 14665625 14712555 14746875 15283125 15604225 15640625 15690675 16209375 16261245 16380375 16777475 16921875 16976025 17015625 17373125 17387565 17428125 17428719 17483895 17892875 18004875 18061875 18104625 18484375 18543525 18679375 18703125 19217835 19358625 19874855 20062575 20109375 20531875 20597577 20645625 20748475 21396375 21434375 21553125 22075625 22146267 22336875 22859375 22878375 22932525 23005125 23488465 23690625 23765625 23766435 23821875 24342591 24399375 24477453 24520925 24578125 25286625 25471875 25553385 26151125 26398125 27015625 27102075 27300625 28087605 28153125 28293375 28979275 29046875 29047865 29139825 29390625 30008125 30103125 30174375 30199455 30905875 31271625 32029725 32207175 32264375 32367621 33271875 33437625 33622875 34329295 34409375 34734375 35660625 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107171875 107765625 110378125 110731335 111684375 114391875 114662625 114757929 115025625 117442325 118453125 118832175 119109375 121712955 121996875 122387265 122604625 126433125 127359375 127766925 130755625 131990625 135510375 136503125 140259691 140438025 140765625 141466875 144896375 145239325 145699125 150040625 150515625 150871875 150997275 154529375 155023869 156358125 160148625 161035875 161321875 161838105 166359375 167188125 168114375 171646475 172046875 178303125 178873695 184552225 184786875 186140625 186736275 190653125 191104375 191263215 191709375 192909375 198053625 198680625 202854925 203328125 203978775 205734375 210721875 211396185 212944875 219984375 220688325 221203125 225850625 226573347 234063375 235360125 235778125 242831875 243140625 245705625 251453125 251662125 258373115 260596875 260813475 261421875 261430785 266914375 267768501 268393125 269730175 270073125 278152875 278646875 280190625 290379375 297171875 298122825 307978125 308963655 309684375 311227125 318772025 319515625 321515625 323296875 330089375 331134375 332194005 339964625 343175625 343987875 351203125 352326975 354908125 355359375 365138865 365990625 367813875 377622245 382078125 390105625 392266875 406531125 409509375 419436875 420779073 424400625 434328125 434689125 435717975 437097375 446280835 447321875 450121875 451546875 452615625 463588125 465071607 466984375 480445875 483965625 485514315 496871375 501564375 513296875 514939425 516140625 518711875 534909375 551890625 553656675 558421875 571959375 573313125 573789645 575128125 587211625 594160875 608564775 609984375 611936325 613023125 632165625 638834625 653778125 659953125 677551875 679720041 682515625 701298455 702190125 707334375 724481875 726196625 728495625 750203125 754359375 754986375 772646875 775119345 781790625 800743125 803305503 805179375 806609375 809190525 835940625 840571875 858232375 891515625 894368475 922761125 923934375 933681375 953265625 955521875 956316075 958546875 964546875 981817837 990268125 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3630983125 3642478125 3774931875 3863234375 3875596725 3908953125 4003715625 4016527515 4025896875 4045952625 4179703125 4202859375 4291161875 4471842375 4613805625 4619671875 4668406875 4777609375 4781580375 4909089185 4951340625 4967015625 5071373125 5099469375 5284904625 5323621875 5517208125 5646265625 5664333675 5851584375 5884003125 6070796875 6142640625 6291553125 6311686095 6459327875 6520336875 6535769625 6672859375 6694212525 6709828125 6743254375 6751828125 6953821875 7259484375 7453070625 7724091375 7780678125 7969300625 8252234375 8304850125 8499115625 8579390625 8599696875 8808174375 8836360533 8872703125 9128471625 9195346875 9440556125 9752640625 9806671875 10163278125 10485921875 10519476825 10610015625 10867228125 10892949375 10927434375 11157020875 11589703125 11626790175 12011146875 12137857875 12421784375 12539109375 12873485625 12967796875 13841416875 14332828125 14344741125 14680290625 14727267555 14854021875 15214119375 15298408125 15325578125 15970865625 16938796875 16993001025 17532461375 17554753125 18112046875 18154915625 18212390625 18874659375 19377983625 20018578125 20082637575 20129484375 20229763125 21455809375 22359211875 23069028125 23342034375 23907901875 24545445925 24756703125 25356865625 25497346875 26424523125 26618109375 27586040625 28321668375 29257921875 29420015625 31457765625 31558430475 32296639375 32601684375 32678848125 33471062625 33716271875 34769109375 37265353125 38620456875 38903390625 39846503125 41524250625 42495578125 42998484375 44040871875 44181802665 45642358125 45976734375 47202780625 50816390625 52597384125 54336140625 54464746875 54637171875 55785104375 58133950875 60055734375 60689289375 62108921875 64367428125 69207084375 71723705625 73401453125 73636337775 74270109375 76070596875 76492040625 79854328125 84965005125 87662306875 87773765625 90774578125 94373296875 96889918125 100413187875 101148815625 107279046875 111796059375 115345140625 116710171875 119539509375 122727229625 126784328125 127486734375 132122615625 137930203125 141608341875 157792152375 161483196875 163008421875 163394240625 167355313125 168581359375 186326765625 193102284375 199232515625 207621253125 220204359375 220909013325 228211790625 236013903125 262986920625 272323734375 278925521875 290669754375 303446446875 321837140625 346035421875 358618528125 368181688875 380352984375 382460203125 424825025625 438311534375 484449590625 502065939375 505744078125 558980296875 597697546875 613636148125 660613078125 708041709375 788960761875 807415984375 816971203125 836776565625 965511421875 1038106265625 1104545066625 1141058953125 1180069515625 1314934603125 1394627609375 1453348771875 1517232234375 1793092640625 1840908444375 2124125128125 2191557671875 2422247953125 2510329696875 3068180740625 3540208546875 3944803809375 4183882828125 5522725333125 6574673015625 7266743859375 9204542221875 10620625640625 12551648484375 15340903703125 19724019046875 27613626665625 46022711109375 138068133328125
• Sum of all divisors σ(n): 357930837176640
• Sum of proper divisors (its aliquot sum) s(n): 219862703848515
• 138068133328125 is an abundant number, because the sum of its proper divisors (219862703848515) is greater than itself. Its abundance is 81794570520390

Bases of 138068133328125

• Binary: 11111011001001001111110000010101011010011111101₂
• Hexadecimal: 0x7D927E0AB4FD
• Base-36: 1CXVMHRPX9

Squares and roots of 138068133328125

• 138068133328125 squared (138068133328125²) is 19062809440712901388916015625
• 138068133328125 cubed (138068133328125³) is 2631966515468988831514661939380645751953125
• The square root of 138068133328125 is 11750239.7136452071
• The cube root of 138068133328125 is 51684.9956930465

Scales and comparisons

• 138,068,133,328,125 seconds is equal to 4,390,139 years, 29 weeks, 3 days, 9 hours, 48 minutes, 45 seconds.
• To count from 1 to 138,068,133,328,125 would take you about ten million, nine hundred seventy-five thousand, three hundred forty-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 138068133328125 cubic inches would be around 4307.1 feet tall.

Recreational maths with 138068133328125

• 138068133328125 backwards is 521823331860831
• The number of decimal digits it has is: 15
• The sum of 138068133328125's digits is 54
• More coming soon!