138219644634001749

Names of 138219644634001749

• Cardinal: 138219644634001749 can be written as One hundred thirty-eight quadrillion, two hundred nineteen trillion, six hundred forty-four billion, six hundred thirty-four million, one thousand, seven hundred forty-nine.

Scientific notation

• Scientific notation: 1.38219644634001749 × 10¹⁷

Factors of 138219644634001749

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 35283

Divisors of 138219644634001749

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 7 9 13 19 21 39 49 57 63 91 117 133 147 169 171 247 273 399 441 507 637 741 819 931 991 1183 1197 1521 1729 1911 2223 2793 2973 3169 3211 3549 5187 5733 6937 8281 8379 8919 9507 9633 10647 12103 12883 15561 18829 20811 22183 22477 24843 28521 28899 31081 36309 38649 41197 48559 56487 60211 62433 66549 67431 74529 90181 93243 108927 115947 123591 131803 145677 155281 157339 167479 169461 180633 199647 202293 217567 244777 270543 279729 288379 370773 395409 404053 421477 437031 465843 472017 502437 535561 541899 590539 631267 652701 734331 782743 811629 865137 922621 1172353 1186227 1212159 1264431 1397529 1416051 1507311 1522969 1606683 1713439 1771617 1893801 1958103 2018653 2202993 2348229 2595411 2767863 2828371 2950339 3140479 3182101 3517059 3636477 3748927 3793293 4133773 4568907 4820049 5140317 5252689 5314851 5479201 5681403 6055959 7044687 7677007 8206471 8303589 8485113 8851017 9421437 9546303 10175659 10551177 11246781 11994073 12401319 13706721 15420951 15758067 16437603 18167877 19798597 21983353 22274707 23031021 24619413 25455339 26242489 26553051 28264311 28638909 28936411 30526977 30801271 33740343 35982219 36768823 37203957 38354407 40826227 47274201 49312809 53739049 59395791 59669101 65950059 66824121 69093063 71229613 73858239 78727467 86809233 91580931 92403813 98495689 99801091 107946657 110306469 115063221 122478681 153883471 155922949 161217147 178187373 179007303 197850177 200472363 213688839 215608897 236182401 257381761 260427699 277211439 285783589 295487067 299403273 330919407 345189663 367436043 376173343 400416523 417683707 461650413 467768847 483651441 498607291 530740951 537021909 585224149 641066517 646826691 689469823 698607637 772145283 775698313 857350767 886461201 898209819 1128520029 1201249569 1253051121 1280443957 1384951239 1403306541 1495821873 1509262279 1592222853 1755672447 1871418091 1940480073 2000485123 2068409469 2095822911 2316435849 2327094939 2572052301 2802915661 2923785949 3385560087 3603748707 3715186657 3759153363 3841331871 4096569043 4487465619 4527786837 4776668559 4826288761 4890253459 5205414799 5267017341 5429888191 5614254273 6001455369 6205228407 6287468733 6981284817 7607913937 8408746983 8771357847 8963107699 10084078069 11145559971 11523995613 12289707129 13099926637 13583360511 14478866283 14670760377 15616244397 16289664573 16645771441 16842762819 18004366107 19620409627 22823741811 24328435183 25226240949 26006306599 26314073541 26889323097 28675983301 30252234207 33436679913 36437903593 36869121387 38009217337 39299779911 43436598849 44012281131 46848733191 48868993719 49937314323 53255397559 58861228881 62741753893 68471225433 70588546483 72985305549 78018919797 80667969291 86027949903 90756702621 91699486459 97609227799 98902881181 109313710779 114027652011 116520400087 117899339733 149811942969 159766192677 170299046281 176583686643 188225261679 211765639449 218955916647 234056759391 255065325151 258083849709 275098459377 292827683397 296708643543 316269657379 327941132337 342082956033 349561200261 372787782913 479298578031 494119825381 510897138843 564675785037 635296918347 683264594593 692320168267 765195975453 815642800609 825295378131 878483050191 890125930629 948808972137 1048683600783 1118363348739 1192093323967 1268919961387 1482359476143 1532691416529 1854575328181 2049793783779 2076960504801 2213887601653 2295587926359 2446928401827 2846426916411 3355090046217 3576279971901 3806759884161 4447078428429 4782852162151 4846241177869 5563725984543 6149381351337 6230881514403 6641662804959 7340785205481 8882439729709 10728839915703 11420279652483 12982027297267 14348556486453 14538723533607 15497213211571 16495959498031 16691177953629 19924988414877 24109479266353 26647319189127 38946081891801 43045669459359 43616170600821 46491639634713 49487878494093 62177078107963 72328437799059 79941957567381 90874191080869 115471716486217 116838245675403 139474918904139 148463635482279 168766354864471 186531234323889 216985313397177 272622573242607 313423230462589 346415149458651 506299064593413 559593702971667 808302015403519 817867719727821 940269691387767 1039245448375953 1181364484051297 1518897193780239 2193962613238123 2424906046210557 2820809074163301 3544093452153891 6581887839714369 7274718138631671 10632280356461673 15357738292666861 19745663519143107 46073214878000583 138219644634001749
• Sum of all divisors σ(n): 265081356203788800
• Sum of proper divisors (its aliquot sum) s(n): 126861711569787051
• 138219644634001749 is a deficient number, because the sum of its proper divisors (126861711569787051) is less than itself. Its deficiency is 11357933064214698

Bases of 138219644634001749

• Binary: 111101011000011100000100011010011011000111111000101010101₂
• Hexadecimal: 0x1EB0E08D363F155
• Base-36: 11SYRW5LM639

Squares and roots of 138219644634001749

• 138219644634001749 squared (138219644634001749²) is 19104670162749728486272929735059001
• 138219644634001749 cubed (138219644634001749³) is 2640640720745083829720745744389029380597157252192749
• The square root of 138219644634001749 is 371779026.6193101821
• The cube root of 138219644634001749 is 517038.9457122375

Scales and comparisons

• 138,219,644,634,001,749 seconds is equal to 4,394,957,157 years, 48 weeks, 2 days, 3 hours, 9 minutes, 9 seconds.
• To count from 1 to 138,219,644,634,001,749 would take you about thirteen billion, one hundred eighty-four million, eight hundred seventy-one thousand, four hundred seventy-three 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 138219644634001749 cubic inches would be around 43086.6 feet tall.

Recreational maths with 138219644634001749

• 138219644634001749 backwards is 947100436446912831
• The number of decimal digits it has is: 18
• The sum of 138219644634001749's digits is 72
• More coming soon!