138430956931705890

Names of 138430956931705890

• Cardinal: 138430956931705890 can be written as One hundred thirty-eight quadrillion, four hundred thirty trillion, nine hundred fifty-six billion, nine hundred thirty-one million, seven hundred five thousand, eight hundred ninety.

Scientific notation

• Scientific notation: 1.3843095693170589 × 10¹⁷

Factors of 138430956931705890

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1060966

Divisors of 138430956931705890

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 193 270 386 405 503 579 810 965 1006 1158 1509 1663 1737 1930 2515 2895 3018 3326 3474 4527 4989 5030 5211 5790 7545 8315 8685 9054 9978 10422 13581 14967 15090 15633 16630 17370 22635 24945 26055 27162 29934 31266 40743 44901 45270 49890 52110 67905 74835 78165 81486 89802 97079 134703 135810 149670 156330 194158 203715 224505 269406 291237 320959 407430 449010 485395 582474 641918 673515 836489 873711 962877 970790 1058597 1347030 1456185 1604795 1672978 1747422 1925754 2117194 2509467 2621133 2888631 2912370 3175791 3209590 4182445 4368555 4814385 5018934 5242266 5292985 5777262 6351582 7528401 7863399 8364890 8665893 8737110 9527373 9628770 10585970 12547335 13105665 14443155 15056802 15726798 15878955 17331786 19054746 22585203 25094670 25997679 26211330 28582119 28886310 31757910 37642005 39316995 43329465 45170406 47636865 51995358 57164238 67755609 75284010 78633990 85746357 86658930 95273730 112926015 129988395 135511218 142910595 161442377 171492714 204309221 225852030 259976790 285821190 322884754 338778045 408618442 428731785 484327131 532474291 612927663 677556090 807211885 857463570 968654262 1021546105 1064948582 1225855326 1452981393 1597422873 1614423770 1760446811 1838782989 2043092210 2421635655 2662371455 2905962786 3064638315 3194845746 3520893622 3677565978 4358944179 4792268619 4843271310 5281340433 5324742910 5516348967 6129276630 7264906965 7987114365 8717888358 8802234055 9193914945 9584537238 10562680866 11032697934 13076832537 14376805857 14529813930 15844021299 15974228730 16549046901 17604468110 18387829890 21794720895 23961343095 26153665074 26406702165 27581744835 28753611714 31688042598 33098093802 43130417571 43589441790 47532063897 47922686190 52813404330 55163489670 65384162685 71884029285 79220106495 82745234505 86260835142 95064127794 102767538163 130768325370 142596191691 143768058570 158440212990 165490469010 205535076326 215652087855 237660319485 285192383382 308302614489 339766234523 431304175710 475320638970 513837690815 616605228978 679532469046 712980958455 885504745933 924907843467 1019298703569 1027675381630 1425961916910 1541513072445 1698831172615 1771009491866 1849815686934 2038597407138 2656514237799 2774723530401 3057896110707 3083026144890 3397662345230 4427523729665 4624539217335 5096493517845 5313028475598 5549447060802 6115792221414 7969542713397 8324170591203 8855047459330 9173688332121 9249078434670 10192987035690 13282571188995 13873617652005 15289480553535 15939085426794 16648341182406 18347376664242 23908628140191 26565142377990 27521064996363 27747235304010 30578961107070 39847713566985 41620852956015 45868441660605 47817256280382 55042129992726 71725884420573 79695427133970 83241705912030 91736883321210 119543140700955 137605324981815 143451768841146 170902415965069 239086281401910 275210649963630 341804831930138 358629422102865 512707247895207 717258844205730 854512079825345 1025414495790414 1538121743685621 1709024159650690 2563536239476035 3076243487371242 4614365231056863 5127072478952070 7690608718428105 9228730462113726 13843095693170589 15381217436856210 23071826155284315 27686191386341178 46143652310568630 69215478465852945 138430956931705890
• Sum of all divisors σ(n): 375123725497737216
• Sum of proper divisors (its aliquot sum) s(n): 236692768566031326
• 138430956931705890 is an abundant number, because the sum of its proper divisors (236692768566031326) is greater than itself. Its abundance is 98261811634325436

Bases of 138430956931705890

• Binary: 111101011110011100011100011001101110101001110110000100010₂
• Hexadecimal: 0x1EBCE38CDD4EC22
• Base-36: 11V1OFONQW4I

Squares and roots of 138430956931705890

• 138430956931705890 squared (138430956931705890²) is 19163129837027810995137545460692100
• 138430956931705890 cubed (138430956931705890³) is 2652770401146285014637753367593480290517193046469000
• The square root of 138430956931705890 is 372063108.8023991261
• The cube root of 138430956931705890 is 517302.2972239779

Scales and comparisons

• 138,430,956,931,705,890 seconds is equal to 4,401,676,235 years, 18 weeks, 6 days, 12 hours, 31 minutes, 30 seconds.
• To count from 1 to 138,430,956,931,705,890 would take you about thirteen billion, two hundred five million, twenty-eight thousand, seven hundred 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 138430956931705890 cubic inches would be around 43108.5 feet tall.

Recreational maths with 138430956931705890

• 138430956931705890 backwards is 098507139659034831
• 138430956931705890 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138430956931705890's digits is 81
• More coming soon!