2138318128128

Names of 2138318128128

• Cardinal: 2138318128128 can be written as Two trillion, one hundred thirty-eight billion, three hundred eighteen million, one hundred twenty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 2.138318128128 × 10¹²

Factors of 2138318128128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 128

Divisors of 2138318128128

• Number of divisors d(n): 528
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 103 104 112 128 147 156 168 182 192 196 206 208 224 256 273 294 309 312 336 364 384 392 412 416 448 512 546 588 618 624 637 672 721 728 768 784 824 832 896 1024 1092 1176 1236 1248 1274 1339 1344 1442 1456 1536 1568 1648 1664 1792 1911 2163 2184 2352 2472 2496 2548 2678 2688 2884 2912 3072 3136 3296 3328 3584 3822 4017 4326 4368 4704 4944 4992 5047 5096 5356 5376 5768 5824 6272 6592 6656 7168 7644 8034 8652 8736 9373 9408 9888 9984 10094 10192 10609 10712 10752 11536 11648 12544 13184 13312 15141 15288 16068 17304 17472 18746 18816 19776 19968 20188 20384 21218 21424 21504 23072 23296 25088 26368 28119 30282 30576 31827 32136 34608 34944 37492 37632 39552 39936 40376 40768 42436 42848 46144 46592 50176 52736 56238 60564 61152 63654 64272 65611 69216 69888 74263 74984 75264 79104 80752 81536 84872 85696 92288 93184 105472 112476 121128 122304 127308 128544 131222 137917 138432 139776 148526 149968 150528 158208 161504 163072 169744 171392 184576 196833 222789 224952 242256 244608 254616 257088 262444 275834 276864 279552 297052 299936 316416 323008 326144 339488 342784 369152 393666 413751 445578 449904 484512 489216 509232 514176 519841 524888 551668 553728 594104 599872 646016 652288 678976 685568 738304 787332 827502 891156 899808 965419 969024 978432 1018464 1028352 1039682 1049776 1092727 1103336 1107456 1188208 1199744 1292032 1357952 1371136 1559523 1574664 1655004 1782312 1799616 1930838 1938048 1956864 2036928 2056704 2079364 2099552 2185454 2206672 2214912 2376416 2399488 2584064 2715904 2896257 3119046 3149328 3278181 3310008 3564624 3599232 3861676 3876096 4073856 4113408 4158728 4199104 4370908 4413344 4752832 4798976 5168128 5431808 5792514 6238092 6298656 6556362 6620016 6757933 7129248 7198464 7649089 7723352 7752192 8147712 8317456 8398208 8741816 8826688 9505664 9597952 10863616 11585028 12476184 12597312 13112724 13240032 13515866 14205451 14258496 14396928 15298178 15446704 15504384 16295424 16634912 16796416 17483632 17653376 19011328 20273799 22947267 23170056 24952368 25194624 26225448 26480064 27031732 28410902 28516992 28793856 30596356 30893408 32590848 33269824 33592832 34967264 35306752 38022656 40547598 42616353 45894534 46340112 49904736 50389248 52450896 52960128 53543623 54063464 56821804 57033984 61192712 61786816 66539648 67185664 69934528 70613504 76045312 81095196 85232706 91789068 92680224 99438157 99809472 100778496 104901792 105920256 107087246 108126928 113643608 114067968 122385424 123573632 133079296 139869056 141227008 160630869 162190392 170465412 183578136 185360448 198876314 199618944 201556992 209803584 211840512 214174492 216253856 227287216 228135936 244770848 247147264 266158592 279738112 298314471 321261738 324380784 340930824 367156272 370720896 397752628 399237888 419607168 423681024 428348984 432507712 454574432 489541696 494294528 532317184 559476224 596628942 642523476 648761568 681861648 696067099 734312544 741441792 795505256 798475776 839214336 856697968 865015424 909148864 979083392 988589056 1118952448 1193257884 1285046952 1297523136 1363723296 1392134198 1468625088 1482883584 1591010512 1596951552 1678428672 1713395936 1730030848 1818297728 1958166784 2088201297 2386515768 2570093904 2595046272 2727446592 2784268396 2937250176 2965767168 3182021024 3356857344 3426791872 3460061696 3636595456 3916333568 4176402594 4773031536 5140187808 5190092544 5454893184 5568536792 5874500352 6364042048 6853583744 6920123392 7273190912 7832667136 8352805188 9546063072 10280375616 10380185088 10909786368 11137073584 11749000704 12728084096 13707167488 14546381824 16705610376 19092126144 20560751232 20760370176 21819572736 22274147168 23498001408 25456168192 27414334976 33411220752 38184252288 41121502464 43639145472 44548294336 50912336384 54828669952 66822441504 76368504576 82243004928 89096588672 101824672768 133644883008 152737009152 164486009856 178193177344 267289766016 305474018304 356386354688 534579532032 712772709376 1069159064064 2138318128128
• Sum of all divisors σ(n): 7209903442560
• Sum of proper divisors (its aliquot sum) s(n): 5071585314432
• 2138318128128 is an abundant number, because the sum of its proper divisors (5071585314432) is greater than itself. Its abundance is 2933267186304

Bases of 2138318128128

• Binary: 11111000111011101101100010100010000000000₂
• Hexadecimal: 0x1F1DDB14400
• Base-36: RABVEJ9C

Squares and roots of 2138318128128

• 2138318128128 squared (2138318128128²) is 4572404417080833824784384
• 2138318128128 cubed (2138318128128³) is 9777255254176487574278370728085553152
• The square root of 2138318128128 is 1462298.9188698731
• The cube root of 2138318128128 is 12883.2105921951

Scales and comparisons

• 2,138,318,128,128 seconds is equal to 67,991 years, 46 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
• To count from 1 to 2,138,318,128,128 would take you about one hundred sixty-nine thousand, nine hundred seventy-nine 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 2138318128128 cubic inches would be around 1073.6 feet tall.

Recreational maths with 2138318128128

• 2138318128128 backwards is 8218218138312
• 2138318128128 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2138318128128's digits is 48
• More coming soon!