138137320428965946

Names of 138137320428965946

• Cardinal: 138137320428965946 can be written as One hundred thirty-eight quadrillion, one hundred thirty-seven trillion, three hundred twenty billion, four hundred twenty-eight million, nine hundred sixty-five thousand, nine hundred forty-six.

Scientific notation

• Scientific notation: 1.38137320428965946 × 10¹⁷

Factors of 138137320428965946

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2018

Divisors of 138137320428965946

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 138 198 207 242 253 363 414 506 529 726 759 1058 1089 1331 1518 1587 1979 2178 2277 2662 2783 3174 3958 3993 4554 4761 5566 5819 5937 7986 8349 9522 11638 11874 11979 12167 14641 16698 17457 17811 21769 23958 24334 25047 29282 30613 34914 35622 36501 43538 43923 45517 50094 52371 61226 64009 65307 73002 87846 91034 91839 104742 109503 128018 130614 131769 133837 136551 161051 183678 192027 195921 219006 239459 263538 267674 273102 275517 322102 336743 384054 391842 401511 409653 478918 483153 500687 551034 576081 673486 704099 718377 803022 819306 966306 1001374 1010229 1046891 1152162 1204533 1408198 1436754 1449459 1472207 1502061 2020458 2093782 2112297 2155131 2409066 2634049 2898918 2944414 3004122 3030687 3140673 3704173 3916441 4224594 4310262 4416621 4506183 5268098 5507557 6061374 6281346 6336891 7408346 7745089 7832882 7902147 8833242 9012366 9422019 11015114 11112519 11515801 11749323 12673782 13249863 15490178 15804294 16194277 16522671 18844038 22225038 23031602 23235267 23498646 23706441 24078493 26499726 28974539 32388554 33045342 33337557 34547403 35247969 43080851 46470534 47412882 48156986 48582831 49568013 57949078 60583127 66675114 69094806 69705801 70495938 72235479 85195979 86161702 86923617 90078143 97165662 99136026 103642209 121166254 126673811 129242553 139411602 144470958 145748493 170391958 173847234 178137047 180156286 181749381 207284418 216706437 253347622 255587937 258485106 260770851 264863423 270234429 291496986 318719929 356274094 363498762 380021433 387727659 433412874 473889361 511175874 521541702 529726846 534411141 540468858 545248143 637439858 666414397 760042866 766763811 775455318 794590269 810703287 947778722 956159787 990859573 1068822282 1090496286 1140064299 1332828794 1393411921 1421668083 1533527622 1589180538 1603233423 1621406574 1912319574 1959507517 1981719146 1999243191 2071797289 2280128598 2383770807 2786823842 2843336166 2868479361 2913497653 2972578719 3206466846 3919015034 3998486382 4143594578 4180235763 4265004249 4767541614 5212782971 5736958722 5826995306 5878522551 5945157438 5997729573 6215391867 7330558367 8360471526 8530008498 8740492959 8917736157 10425565942 10899455303 11757045102 11995459146 12430783734 12540707289 14661116734 15327531131 15638348913 17480985918 17635567653 17835472314 18646175601 21798910606 21991675101 22789770179 25081414578 26221478877 30655062262 31276697826 32048474183 32698365909 35271135306 37292351202 43983350202 45579540358 45982593393 46915046739 47651337647 52442957754 57340612681 64096948366 65396731818 65975025303 68369310537 91965186786 93830093478 95302675294 96145422549 98095097727 114681225362 119894008333 131950050606 136738621074 137947780179 142954012941 168602842441 172021838043 192290845098 196190195454 205107931611 239788016666 250687471969 275895560358 285908025882 288436267647 337205684882 344043676086 352533216013 359682024999 410215863222 428862038823 501374943938 505808527323 516065514129 524164714117 576872535294 630746739491 705066432026 719364049998 752062415907 857724077646 1011617054646 1032131028258 1048329428234 1057599648039 1079046074997 1261493478982 1318834091663 1504124831814 1517425581969 1572494142351 1892240218473 2115199296078 2158092149994 2256187247721 2637668183326 2757562191659 3034851163938 3144988284702 3172798944117 3784480436946 3877865376143 3956502274989 4512374495442 4717482427053 5515124383318 5676720655419 5765811855287 6345597888234 7755730752286 7913004549978 8272686574977 9434964854106 11353441310838 11531623710574 11633596128429 11869506824967 14507175008293 16545373149954 17297435565861 23267192256858 23739013649934 24818059724931 29014350016586 30333184108249 34594871131722 34900788385287 43521525024879 49636119449862 51892306697583 60666368216498 63423930408157 69801576770574 87043050049758 90999552324747 103784613395166 126847860816314 130564575074637 181999104649494 190271791224471 261129150149274 272998656974241 333665025190739 380543582448942 545997313948482 570815373673413 667330050381478 697663234489727 1000995075572217 1141630747346826 1395326468979454 2001990151144434 2092989703469181 3002985226716651 4185979406938362 6005970453433302 6278969110407543 7674295579386997 12557938220815086 15348591158773994 23022886738160991 46045773476321982 69068660214482973 138137320428965946
• Sum of all divisors σ(n): 344364741918550080
• Sum of proper divisors (its aliquot sum) s(n): 206227421489584134
• 138137320428965946 is an abundant number, because the sum of its proper divisors (206227421489584134) is greater than itself. Its abundance is 68090101060618188

Bases of 138137320428965946

• Binary: 111101010110000110010100100111010011001001001000000111010₂
• Hexadecimal: 0x1EAC3293A64903A
• Base-36: 11S5LCXRHH6I

Squares and roots of 138137320428965946

• 138137320428965946 squared (138137320428965946²) is 19081919295294812487421222827674916
• 138137320428965946 cubed (138137320428965946³) is 2635925200093807568916694020097092678215485322410536
• The square root of 138137320428965946 is 371668293.5481125299
• The cube root of 138137320428965946 is 516936.2751314529

Scales and comparisons

• 138,137,320,428,965,946 seconds is equal to 4,392,339,502 years, 44 weeks, 2 days, 22 hours, 59 minutes, 6 seconds.
• To count from 1 to 138,137,320,428,965,946 would take you about thirteen billion, one hundred seventy-seven million, eighteen thousand, five hundred 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 138137320428965946 cubic inches would be around 43078 feet tall.

Recreational maths with 138137320428965946

• 138137320428965946 backwards is 649569824023731831
• The number of decimal digits it has is: 18
• The sum of 138137320428965946's digits is 81
• More coming soon!