13137923809590336

Names of 13137923809590336

• Cardinal: 13137923809590336 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, nine hundred twenty-three billion, eight hundred nine million, five hundred ninety thousand, three hundred thirty-six.

Scientific notation

• Scientific notation: 1.3137923809590336 × 10¹⁶

Factors of 13137923809590336

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 264732

Divisors of 13137923809590336

• Number of divisors d(n): 280
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 149 162 192 216 288 298 324 432 447 576 596 648 864 894 1192 1296 1341 1728 1788 2384 2592 2682 3576 4023 4768 5184 5364 7152 8046 9536 10728 12069 14304 16092 21456 24138 28608 32184 42912 48276 64368 85824 96552 110119 128736 154459 193104 220238 257472 308918 330357 386208 440476 463377 617836 660714 772416 880952 926754 991071 1235672 1321428 1390131 1761904 1853508 1982142 2471344 2642856 2780262 2973213 3523808 3707016 3964284 4170393 4942688 5285712 5560524 5946426 7047616 7414032 7928568 8340786 8919639 9885376 10571424 11121048 11892852 12511179 14828064 15857136 16407731 16681572 17839278 21142848 22242096 23014391 23785704 25022358 29656128 31714272 32815462 33363144 35678556 44484192 46028782 47571408 49223193 50044716 63428544 65630924 66726288 69043173 71357112 88968384 92057564 95142816 98446386 100089432 131261848 133452576 138086346 142714224 147669579 184115128 190285632 196892772 200178864 207129519 262523696 266905152 276172692 285428448 295339158 368230256 393785544 400357728 414259038 443008737 525047392 552345384 570856896 590678316 621388557 736460512 787571088 800715456 828518076 886017474 1050094784 1104690768 1181356632 1242777114 1329026211 1472921024 1575142176 1657036152 1772034948 1864165671 2209381536 2362713264 2485554228 2658052422 3150284352 3314072304 3544069896 3728331342 4418763072 4725426528 4971108456 5316104844 6628144608 7088139792 7456662684 9450853056 9942216912 10632209688 13256289216 14176279584 14913325368 17008870621 19884433824 21264419376 28352559168 29826650736 34017741242 39768867648 42528838752 51026611863 59653301472 68035482484 85057677504 102053223726 119306602944 136070964968 153079835589 204106447452 272141929936 306159671178 408212894904 459239506767 544283859872 612319342356 816425789808 918479013534 1088567719744 1224638684712 1377718520301 1632851579616 1836958027068 2449277369424 2534321722529 2755437040602 3265703159232 3673916054136 4898554738848 5068643445058 5510874081204 7347832108272 7602965167587 9797109477696 10137286890116 11021748162408 14695664216544 15205930335174 20274573780232 22043496324816 22808895502761 29391328433088 30411860670348 40549147560464 44086992649632 45617791005522 60823721340696 68426686508283 81098295120928 88173985299264 91235582011044 121647442681392 136853373016566 162196590241856 182471164022088 205280059524849 243294885362784 273706746033132 364942328044176 410560119049698 486589770725568 547413492066264 729884656088352 821120238099396 1094826984132528 1459769312176704 1642240476198792 2189653968265056 3284480952397584 4379307936530112 6568961904795168 13137923809590336
• Sum of all divisors σ(n): 39206907092760000
• Sum of proper divisors (its aliquot sum) s(n): 26068983283169664
• 13137923809590336 is an abundant number, because the sum of its proper divisors (26068983283169664) is greater than itself. Its abundance is 12931059473579328

Bases of 13137923809590336

• Binary: 101110101011001101111101000001110000011011110001000000₂
• Hexadecimal: 0x2EACDF41C1BC40
• Base-36: 3LD06VL3800

Squares and roots of 13137923809590336

• 13137923809590336 squared (13137923809590336²) is 172605042026600647260768144592896
• 13137923809590336 cubed (13137923809590336³) is 2267671891296617225071871758177095794067255853056
• The square root of 13137923809590336 is 114620782.6250996073
• The cube root of 13137923809590336 is 235962.0965747551

Scales and comparisons

• 13,137,923,809,590,336 seconds is equal to 417,745,338 years, 45 weeks, 4 days, 17 hours, 45 minutes, 36 seconds.
• To count from 1 to 13,137,923,809,590,336 would take you about one billion, two hundred fifty-three million, two hundred thirty-six thousand and sixteen 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 13137923809590336 cubic inches would be around 19663.5 feet tall.

Recreational maths with 13137923809590336

• 13137923809590336 backwards is 63309590832973131
• 13137923809590336 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13137923809590336's digits is 72
• More coming soon!