138537209461211967

Names of 138537209461211967

• Cardinal: 138537209461211967 can be written as One hundred thirty-eight quadrillion, five hundred thirty-seven trillion, two hundred nine billion, four hundred sixty-one million, two hundred eleven thousand, nine hundred sixty-seven.

Scientific notation

• Scientific notation: 1.38537209461211967 × 10¹⁷

Factors of 138537209461211967

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 386

Divisors of 138537209461211967

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 7 19 21 31 57 93 127 133 199 217 361 381 399 589 597 651 889 961 1083 1393 1767 2413 2527 2667 2883 3781 3937 4123 4179 6169 6727 6859 7239 7581 11191 11343 11811 12369 16891 18259 18507 20181 20577 25273 26467 27559 33573 39601 43183 45847 48013 50673 54777 71839 74803 75819 78337 79401 82677 117211 118803 122047 127813 129549 137541 144039 176911 191239 212629 215517 224409 235011 277207 320929 346921 351633 366141 383439 480187 502873 523621 530733 573717 637887 752419 783463 820477 831621 854329 871093 962787 1040763 1227631 1338673 1364941 1421257 1440561 1488403 1508619 1570863 2227009 2257257 2318893 2350389 2428447 2461431 2562987 2613279 3361309 3633541 3682893 4016019 4094823 4263771 4465209 5029327 5266933 5484241 6097651 6591499 6681027 6956679 7285341 7880599 8593417 9123553 9554587 9948799 10083927 10900623 14295961 14885797 15087981 15589063 15800799 16232251 16452723 18292953 19774497 23324989 23641797 24287353 25434787 25780251 27003883 27370659 28663761 29846397 35205289 38056561 42313171 42887883 44058967 44657391 46140493 46767189 48696753 55164193 63864871 69037279 69974967 72862059 76304361 81011649 95557213 100071727 104200579 105615867 114169683 126939513 132176901 138421479 149731381 155909137 163274923 165492579 170011471 173347507 189027181 191594613 207111837 244298569 266395927 271623259 282830143 286671639 296192197 300215181 308412769 312601737 443174791 449194143 461459707 467727411 483260953 489824769 510034413 520042521 567081543 668900491 723074659 732895707 799187781 814869777 837120373 848490429 888576591 925238307 1000836073 1048119667 1091363959 1213432549 1311708301 1329524373 1384379121 1449782859 1710089983 1815587047 1901362813 1979811001 2006701473 2169223977 2511361119 2844896239 2962273603 3002508219 3102223537 3144359001 3230217949 3274091877 3640297647 3935124903 4641672811 4833183247 5061522613 5130269949 5373772717 5446761141 5704088439 5859842611 5939433003 7005852511 7573255639 8420321029 8534688717 8767734433 8886820809 9181958107 9306670611 9690653847 12709109329 13738418521 13925018433 14499549741 15184567839 16121318151 17579527833 19015885387 19914273673 20735915221 21017557533 22719766917 25260963087 26303203299 27545874321 31025918263 32491709677 33832282729 34496153893 37616409019 38127327987 41215255563 53012789473 54053028541 56283198457 57047656161 58942247203 59742821019 61374141031 62207745663 88191783409 91830481693 93077754789 96168929647 97475129031 101496848187 103488461679 112849227057 133111197709 143891857141 159038368419 162159085623 166586954227 168849595371 176826741609 184122423093 217181427841 241473077251 261029951899 264575350227 275491445079 288506788941 361301822353 378371199787 393982389199 399333593127 431675571423 499760862681 589492446997 617342483863 642813371851 651544283523 724419231753 783089855697 961803466153 1007242999987 1069380770683 1083905467059 1135113599361 1166108679589 1181947167597 1675643884771 1744779152167 1768477340991 1827209663293 1852027451589 1928440115553 2529112756471 2733945285679 2885410398459 3021728999961 3208142312049 3498326038767 4126447128979 5026931654313 5234337456501 5481628989879 6732624263071 6864734624707 7485665394781 7587338269413 8201835857037 11200356492943 11729507193397 12213454065169 12379341386937 18274265856907 19137616999753 20197872789213 20594203874121 22456996184343 33150803891173 33601069478829 35188521580191 36640362195507 48053142372949 51944960427901 54822797570721 57412850999259 78402495450601 99452411673519 127919860998349 144159427118847 155834881283703 212806773365917 232055627238211 235207486351803 347211051281233 363614722995307 383759582995047 638420320097751 696166881714633 1041633153843699 1090844168985921 1489647413561419 2430477358968631 4468942240684257 6597009974343427 7291432076905893 19791029923030281 46179069820403989 138537209461211967
• Sum of all divisors σ(n): 233235620364288000
• Sum of proper divisors (its aliquot sum) s(n): 94698410903076033
• 138537209461211967 is a deficient number, because the sum of its proper divisors (94698410903076033) is less than itself. Its deficiency is 43838798558135934

Bases of 138537209461211967

• Binary: 111101100001011101101101110100110000111000000001100111111₂
• Hexadecimal: 0x1EC2EDBA61C033F
• Base-36: 11W3CBF8GEV3

Squares and roots of 138537209461211967

• 138537209461211967 squared (138537209461211967²) is 19192558405299718543876684504009089
• 138537209461211967 cubed (138537209461211967³) is 2658883483891551429424886325526709966225052323568063
• The square root of 138537209461211967 is 372205869.7296591089
• The cube root of 138537209461211967 is 517434.6149803477

Scales and comparisons

• 138,537,209,461,211,967 seconds is equal to 4,405,054,737 years, 7 weeks, 2 days, 13 hours, 59 minutes, 27 seconds.
• To count from 1 to 138,537,209,461,211,967 would take you about thirteen billion, two hundred fifteen million, one hundred sixty-four thousand, two hundred eleven 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 138537209461211967 cubic inches would be around 43119.6 feet tall.

Recreational maths with 138537209461211967

• 138537209461211967 backwards is 769112164902735831
• The number of decimal digits it has is: 18
• The sum of 138537209461211967's digits is 75
• More coming soon!