138182881697406464

Names of 138182881697406464

• Cardinal: 138182881697406464 can be written as One hundred thirty-eight quadrillion, one hundred eighty-two trillion, eight hundred eighty-one billion, six hundred ninety-seven million, four hundred six thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.38182881697406464 × 10¹⁷

Factors of 138182881697406464

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 579

Divisors of 138182881697406464

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 8 16 17 32 34 64 68 97 128 136 194 256 272 289 388 463 512 544 578 776 926 1088 1156 1552 1649 1852 2176 2312 3104 3298 3704 4352 4624 6208 6596 7408 7871 8704 9248 9409 12416 13192 14816 15742 18496 18818 24832 26384 28033 29632 31484 36992 37636 44911 49664 52768 56066 59264 62968 73984 75272 89822 105536 112132 118528 125936 133807 147968 150544 159953 179644 211072 214369 224264 237056 251872 267614 301088 319906 359288 422144 428738 448528 503744 535228 602176 639812 718576 763487 844288 857476 897056 1007488 1070456 1204352 1279624 1437152 1526974 1714952 1794112 2014976 2140912 2408704 2559248 2719201 2874304 3053948 3429904 3588224 3644273 4029952 4281824 4356367 4817408 5118496 5438402 5748608 6107896 6859808 7176448 7288546 8563648 8712734 10236992 10876804 11497216 12215792 12979279 13719616 14352896 14577092 17127296 17425468 20473984 20793793 21753608 22994432 24431584 25958558 27439232 29154184 34254592 34850936 40947968 41587586 43507216 48863168 51917116 54878464 58308368 61952641 68509184 69701872 74058239 81895936 83175172 87014432 97726336 99252847 103834232 109756928 116616736 123905282 139403744 148116478 166350344 174028864 195452672 198505694 207668464 233233472 247810564 278807488 296232956 332700688 348057728 353494481 390905344 397011388 415336928 466466944 495621128 557614976 592465912 665401376 696115456 706988962 794022776 830673856 932933888 991242256 1115229952 1184931824 1258990063 1330802752 1392230912 1413977924 1588045552 1661347712 1687298399 1865867776 1982484512 2016997921 2230459904 2369863648 2517980126 2661605504 2827955848 3176091104 3322695424 3374596798 3964969024 4033995842 4739727296 5035960252 5323211008 5655911696 6009406177 6352182208 6645390848 6749193596 7929938048 8067991684 9479454592 9627526159 10071920504 10646422016 11311823392 12018812354 12704364416 13498387192 15859876096 16135983368 18958909184 19255052318 20143841008 22623646784 24037624708 25408728832 26996774384 28684072783 31719752192 32271966736 34288964657 37917818368 38510104636 40287682016 45247293568 48075249416 50817457664 53993548768 57368145566 64543933472 68577929314 77020209272 80575364032 90494587136 96150498832 107987097536 114736291132 129087866944 137155858628 154040418544 161150728064 163667944703 180989174272 192300997664 215974195072 229472582264 258175733888 274311717256 308080837088 322301456128 327335889406 384601995328 431948390144 458945164528 516351467776 548623434512 582912399169 616161674176 644602912256 654671778812 769203990656 863896780288 917890329056 933870037423 1032702935552 1097246869024 1165824798338 1232323348352 1309343557624 1538407981312 1835780658112 1867740074846 2194493738048 2331649596676 2464646696704 2618687115248 2782355059951 3076815962624 3671561316224 3735480149692 4388987476096 4663299193352 4929293393408 5237374230496 5564710119902 7343122632448 7470960299384 8777974952192 9326598386704 10474748460992 11129420239804 14686245264896 14941920598768 15875790636191 17555949904384 18653196773408 20949496921984 22258840479608 29883841197536 31751581272382 37306393546816 41898993843968 44517680959216 59767682395072 63503162544764 74612787093632 83797987687936 89035361918432 119535364790144 127006325089528 149225574187264 178070723836864 239070729580288 254012650179056 269888440815247 298451148374528 356141447673728 478141459160576 508025300358112 539776881630494 712282895347456 1016050600716224 1079553763260988 1424565790694912 2032101201432448 2159107526521976 4064202402864896 4318215053043952 8128404805729792 8636430106087904 17272860212175808 34545720424351616 69091440848703232 138182881697406464
• Sum of all divisors σ(n): 296988403393899360
• Sum of proper divisors (its aliquot sum) s(n): 158805521696492896
• 138182881697406464 is an abundant number, because the sum of its proper divisors (158805521696492896) is greater than itself. Its abundance is 20622639999086432

Bases of 138182881697406464

• Binary: 111101010111011001001100101001001100111010001111000000000₂
• Hexadecimal: 0x1EAEC99499D1E00
• Base-36: 11SLQRHUCVSW

Squares and roots of 138182881697406464

• 138182881697406464 squared (138182881697406464²) is 19094508794199430333461344028983296
• 138182881697406464 cubed (138182881697406464³) is 2638534249778947232016007639730676162096529978425344
• The square root of 138182881697406464 is 371729581.4128954469
• The cube root of 138182881697406464 is 516993.1018779971

Scales and comparisons

• 138,182,881,697,406,464 seconds is equal to 4,393,788,210 years, 13 weeks, 3 days, 19 hours, 7 minutes, 44 seconds.
• To count from 1 to 138,182,881,697,406,464 would take you about thirteen billion, one hundred eighty-one million, three hundred sixty-four thousand, six hundred thirty 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 138182881697406464 cubic inches would be around 43082.8 feet tall.

Recreational maths with 138182881697406464

• 138182881697406464 backwards is 464604796188281831
• The number of decimal digits it has is: 18
• The sum of 138182881697406464's digits is 86
• More coming soon!