138644456966407744

Names of 138644456966407744

• Cardinal: 138644456966407744 can be written as One hundred thirty-eight quadrillion, six hundred forty-four trillion, four hundred fifty-six billion, nine hundred sixty-six million, four hundred seven thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 1.38644456966407744 × 10¹⁷

Factors of 138644456966407744

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 30

Divisors of 138644456966407744

• Number of divisors d(n): 385
• Complete list of divisors:
  1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 136 176 187 242 272 289 352 374 484 544 578 704 748 968 1088 1156 1331 1496 1936 2057 2312 2662 2992 3179 3872 4114 4624 4913 5324 5984 6358 7744 8228 9248 9826 10648 11968 12716 14641 16456 18496 19652 21296 22627 25432 29282 32912 34969 39304 42592 45254 50864 54043 58564 65824 69938 78608 83521 85184 90508 101728 108086 117128 131648 139876 157216 161051 167042 181016 203456 216172 234256 248897 279752 314432 322102 334084 362032 384659 432344 468512 497794 559504 594473 644204 668168 724064 769318 864688 918731 937024 995588 1119008 1188946 1288408 1336336 1448128 1538636 1729376 1771561 1837462 1991176 2238016 2377892 2576816 2672672 2737867 3077272 3458752 3543122 3674924 3982352 4231249 4755784 5153632 5345344 5475734 6154544 6539203 7086244 7349848 7964704 8462498 9511568 10106041 10307264 10951468 12309088 13078406 14172488 14699696 15929408 16924996 19023136 19487171 20212082 21902936 24618176 26156812 28344976 29399392 30116537 33849992 38046272 38974342 40424164 43805872 46543739 52313624 56689952 58798784 60233074 67699984 71931233 77948684 80848328 87611744 93087478 104627248 111166451 113379904 120466148 135399968 143862466 155897368 161696656 175223488 186174956 209254496 214358881 222332902 240932296 270799936 287724932 311794736 323393312 331281907 372349912 418508992 428717762 444665804 481864592 511981129 575449864 623589472 646786624 662563814 744699824 791243563 857435524 889331608 963729184 1023962258 1150899728 1222830961 1247178944 1325127628 1489399648 1582487126 1714871048 1778663216 1927458368 2047924516 2301799456 2357947691 2445661922 2650255256 2978799296 3164974252 3429742096 3557326432 3644100977 4095849032 4603598912 4715895382 4891323844 5300510512 5631792419 6329948504 6859484192 7114652864 7288201954 8191698064 8703679193 9431790764 9782647688 10601021024 11263584838 12659897008 13451140571 13718968384 14576403908 16383396128 17407358386 18863581528 19565295376 21202042048 22527169676 25319794016 25937424601 26902281142 29152807816 32766792256 34814716772 37727163056 39130590752 40085110747 45054339352 50639588032 51874849202 53804562284 58305615632 61949716609 69629433544 75454326112 78261181504 80170221494 90108678704 95740471123 103749698404 107609124568 116611231264 123899433218 139258867088 147962546281 150908652224 160340442988 180217357408 191480942246 207499396808 215218249136 233222462528 247798866436 278517734176 295925092562 320680885976 360434714816 382961884492 414998793616 430436498272 440936218217 495597732872 557035468352 591850185124 641361771952 681446882699 765923768984 829997587232 860872996544 881872436434 991195465744 1053145182353 1183700370248 1282723543904 1362893765398 1531847537968 1627588009091 1659995174464 1763744872868 1982390931488 2106290364706 2367400740496 2565447087808 2725787530796 3063695075936 3255176018182 3527489745736 3964781862976 4212580729412 4734801480992 5451575061592 6127390151872 6510352036364 7054979491472 7495915709689 8425161458824 9469602961984 10903150123184 11584597005883 13020704072728 14109958982944 14991831419378 16850322917648 17903468100001 21806300246368 23169194011766 26041408145456 28219917965888 29983662838756 33700645835296 35806936200002 43612600492736 46338388023532 52082816290912 59967325677512 67401291670592 71613872400004 92676776047064 104165632581824 119934651355024 127430567064713 143227744800008 185353552094128 196938149100011 239869302710048 254861134129426 286455489600016 370707104188256 393876298200022 479738605420096 509722268258852 572910979200032 741414208376512 787752596400044 1019444536517704 1145821958400064 1575505192800088 2038889073035408 2166319640100121 3151010385600176 4077778146070816 4332639280200242 6302020771200352 8155556292141632 8665278560400484 12604041542400704 17330557120800968 34661114241601936 69322228483203872 138644456966407744
• Sum of all divisors σ(n): 321549305612345527
• Sum of proper divisors (its aliquot sum) s(n): 182904848645937783
• 138644456966407744 is an abundant number, because the sum of its proper divisors (182904848645937783) is greater than itself. Its abundance is 44260391679530039

Bases of 138644456966407744

• Binary: 111101100100100000110011000100111100011110100011001000000₂
• Hexadecimal: 0x1EC9066278F4640
• Base-36: 11X5CW8W018G

Squares and roots of 138644456966407744

• 138644456966407744 squared (138644456966407744²) is 19222285447510088816078455663169536
• 138644456966407744 cubed (138644456966407744³) is 2665063327523318332269136888726270818940111175286784
• 138644456966407744 is a perfect square number. Its square root is 372349912
• The cube root of 138644456966407744 is 517568.1032033731

Scales and comparisons

• 138,644,456,966,407,744 seconds is equal to 4,408,464,876 years, 3 weeks, 3 days, 23 hours, 29 minutes, 4 seconds.
• To count from 1 to 138,644,456,966,407,744 would take you about thirteen billion, two hundred twenty-five million, three hundred ninety-four thousand, six hundred twenty-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 138644456966407744 cubic inches would be around 43130.7 feet tall.

Recreational maths with 138644456966407744

• 138644456966407744 backwards is 447704669654446831
• 138644456966407744 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138644456966407744's digits is 88
• More coming soon!