1338317394767136

Names of 1338317394767136

• Cardinal: 1338317394767136 can be written as One quadrillion, three hundred thirty-eight trillion, three hundred seventeen billion, three hundred ninety-four million, seven hundred sixty-seven thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 1.338317394767136 × 10¹⁵

Factors of 1338317394767136

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 3290485

Divisors of 1338317394767136

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6521 6944 7812 8928 10416 13042 15624 19563 20832 26084 31248 39126 45647 52168 58689 62496 78252 91294 104336 117378 136941 156504 182588 202151 208672 234756 273882 313008 365176 404302 410823 469512 547764 606453 626016 730352 808604 821646 939024 1095528 1212906 1415057 1460704 1617208 1643292 1819359 1878048 2191056 2425812 2830114 3234416 3283921 3286584 3638718 4245171 4382112 4851624 5660228 6468832 6567842 6573168 7277436 8490342 9703248 9851763 11320456 12735513 13135684 13146336 14554872 16980684 19406496 19703526 22640912 22987447 25471026 26271368 29109744 29555289 33961368 39407052 45281824 45974894 50942052 52542736 58219488 59110578 67922736 68962341 78814104 91949788 101801551 101884104 105085472 118221156 135845472 137924682 157628208 183899576 203603102 203768208 206887023 236442312 275849364 305404653 315256416 367799152 407206204 407536416 413774046 472884624 551698728 610809306 712610857 735598304 814412408 827548092 916213959 945769248 1103397456 1221618612 1425221714 1628824816 1655096184 1832427918 2137832571 2206794912 2443237224 2850443428 3257649632 3310192368 3664855836 4275665142 4886474448 5700886856 6413497713 6620384736 7329711672 8551330284 9772948896 11401773712 12826995426 14659423344 17102660568 21414448841 22803547424 25653990852 29318846688 34205321136 42828897682 51307981704 64243346523 68410642272 85657795364 102615963408 128486693046 149901141887 171315590728 192730039569 205231926816 256973386092 299802283774 342631181456 385460079138 449703425661 513946772184 599604567548 663847914071 685262362912 770920158276 899406851322 1027893544368 1199209135096 1327695828142 1349110276983 1541840316552 1798813702644 1991543742213 2055787088736 2398418270192 2655391656284 2698220553966 3083680633104 3597627405288 3983087484426 4646935398497 4796836540384 5310783312568 5396441107932 5974631226639 6167361266208 7195254810576 7966174968852 9293870796994 10621566625136 10792882215864 11949262453278 13940806195491 14390509621152 15932349937704 18587741593988 21243133250272 21585764431728 23898524906556 27881612390982 31864699875408 37175483187976 41822418586473 43171528863456 47797049813112 55763224781964 63729399750816 74350966375952 83644837172946 95594099626224 111526449563928 148701932751904 167289674345892 191188199252448 223052899127856 334579348691784 446105798255712 669158697383568 1338317394767136
• Sum of all divisors σ(n): 4490528889240576
• Sum of proper divisors (its aliquot sum) s(n): 3152211494473440
• 1338317394767136 is an abundant number, because the sum of its proper divisors (3152211494473440) is greater than itself. Its abundance is 1813894099706304

Bases of 1338317394767136

• Binary: 100110000010011000101001100111010010110110100100000₂
• Hexadecimal: 0x4C1314CE96D20
• Base-36: D6E6IUIH40

Squares and roots of 1338317394767136

• 1338317394767136 squared (1338317394767136²) is 1791093449136294141315665642496
• 1338317394767136 cubed (1338317394767136³) is 2397051518632568990219669516432916853745811456
• The square root of 1338317394767136 is 36583020.5801425861
• The cube root of 1338317394767136 is 110201.2128385839

Scales and comparisons

• 1,338,317,394,767,136 seconds is equal to 42,554,353 years, 24 weeks, 1 day, 15 hours, 45 minutes, 36 seconds.
• To count from 1 to 1,338,317,394,767,136 would take you about one hundred twenty-seven million, six hundred sixty-three thousand and sixty 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 1338317394767136 cubic inches would be around 9183.4 feet tall.

Recreational maths with 1338317394767136

• 1338317394767136 backwards is 6317674937138331
• 1338317394767136 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 1338317394767136's digits is 72
• More coming soon!