137438801978296

Names of 137438801978296

• Cardinal: 137438801978296 can be written as One hundred thirty-seven trillion, four hundred thirty-eight billion, eight hundred one million, nine hundred seventy-eight thousand, two hundred ninety-six.

Scientific notation

• Scientific notation: 1.37438801978296 × 10¹⁴

Factors of 137438801978296

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 1946381

Divisors of 137438801978296

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 169 182 221 238 338 364 439 442 476 676 728 878 884 952 1183 1352 1547 1756 1768 2366 2873 3073 3094 3512 4732 5707 5746 6146 6188 7463 9464 11414 11492 12292 12376 14926 20111 22828 22984 24584 29852 39949 40222 45656 52241 59704 74191 79898 80444 97019 104482 148382 159796 160888 194038 208964 296764 319592 388076 417928 519337 593528 679133 776152 1038674 1261247 1358266 1945903 2077348 2522494 2716532 3891806 4154696 5044988 5433064 7783612 8828729 10089976 13621321 15567224 17657458 25296739 27242642 33080351 35314916 50593478 54485284 66160702 70629832 101186956 108970568 132321404 177077173 202373912 231562457 264642808 328857607 354154346 430044563 463124914 657715214 708308692 854251417 860089126 926249828 1315430428 1416617384 1708502834 1720178252 1852499656 2302003249 2630860856 3010311941 3417005668 3440356504 4604006498 5590579319 5979759919 6020623882 6834011336 9208012996 11105268421 11181158638 11959519838 12041247764 14522274089 18416025992 22210536842 22362317276 23919039676 24082495528 29044548178 39134055233 44421073684 44724634552 47838079352 58089096356 77736878947 78268110466 88842147368 101655918623 116178192712 144368489473 155473757894 156536220932 188789563157 203311837246 288736978946 310947515788 313072441864 377579126314 406623674492 577473957892 621895031576 755158252628 813247348984 1010579426311 1154947915784 1321526942099 1510316505256 2021158852622 2454264321041 2643053884198 4042317705244 4908528642082 5286107768396 8084635410488 9817057284164 10572215536792 17179850247287 19634114568328 34359700494574 68719400989148 137438801978296
• Sum of all divisors σ(n): 338437850572800
• Sum of proper divisors (its aliquot sum) s(n): 200999048594504
• 137438801978296 is an abundant number, because the sum of its proper divisors (200999048594504) is greater than itself. Its abundance is 63560246616208

Bases of 137438801978296

• Binary: 11111001111111111110110111110000110001110111000₂
• Hexadecimal: 0x7CFFF6F863B8
• Base-36: 1CPUII4SL4

Squares and roots of 137438801978296

• 137438801978296 squared (137438801978296²) is 18889424289229260483255063616
• 137438801978296 cubed (137438801978296³) is 2596139844371394999391085134288260131278336
• The square root of 137438801978296 is 11723429.6167246213
• The cube root of 137438801978296 is 51606.3472424455

Scales and comparisons

• 137,438,801,978,296 seconds is equal to 4,370,128 years, 40 weeks, 2 days, 17 hours, 58 minutes, 16 seconds.
• To count from 1 to 137,438,801,978,296 would take you about ten million, nine hundred twenty-five thousand, three hundred twenty-one 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 137438801978296 cubic inches would be around 4300.5 feet tall.

Recreational maths with 137438801978296

• 137438801978296 backwards is 692879108834731
• The number of decimal digits it has is: 15
• The sum of 137438801978296's digits is 76
• More coming soon!