137742493460688

Names of 137742493460688

• Cardinal: 137742493460688 can be written as One hundred thirty-seven trillion, seven hundred forty-two billion, four hundred ninety-three million, four hundred sixty thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.37742493460688 × 10¹⁴

Factors of 137742493460688

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 231

Divisors of 137742493460688

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 167 177 236 334 354 472 501 531 668 708 944 1002 1062 1336 1416 1503 2004 2124 2672 2832 3006 3481 4008 4248 6012 6962 8016 8496 9853 10443 12024 13924 19706 20886 24048 27848 27889 29559 31329 39412 41772 55696 55778 59118 62658 78824 83544 83667 88677 111556 118236 125316 157648 167088 167334 177354 205379 223112 236472 250632 251001 334668 354708 410758 446224 472944 501264 502002 581327 616137 669336 709416 821516 1004004 1162654 1232274 1338672 1418832 1643032 1645451 1743981 1848411 2008008 2325308 2464548 3286064 3290902 3487962 3696822 4016016 4650616 4657463 4929096 4936353 5231943 6581804 6975924 7393644 9301232 9314926 9858192 9872706 10463886 13163608 13951848 13972389 14787288 14809059 18629852 19745412 20927772 26327216 27903696 27944778 29574576 29618118 34298293 37259704 39490824 41855544 41917167 55889556 59236236 68596586 74519408 78981648 83711088 83834334 97081609 102894879 111779112 118472472 137193172 167668668 194163218 205789758 223558224 236944944 274386344 274790317 291244827 308684637 335337336 388326436 411579516 548772688 549580634 582489654 617369274 670674672 776652872 823159032 824370951 873734481 1099161268 1164979308 1234738548 1553305744 1646318064 1648741902 1747468962 2198322536 2329958616 2469477096 2473112853 3297483804 3494937924 4396645072 4659917232 4938954192 4946225706 5727814931 6594967608 6989875848 9892451412 11455629862 13189935216 13979751696 16212628703 17183444793 19784902824 22911259724 32425257406 34366889586 39569805648 45822519448 48637886109 51550334379 64850514812 68733779172 91645038896 97275772218 103100668758 129701029624 137467558344 145913658327 194551544436 206201337516 259402059248 274935116688 291827316654 389103088872 412402675032 583654633308 778206177744 824805350064 956545093477 1167309266616 1913090186954 2334618533232 2869635280431 3826180373908 5739270560862 7652360747816 8608905841293 11478541121724 15304721495632 17217811682586 22957082243448 34435623365172 45914164486896 68871246730344 137742493460688
• Sum of all divisors σ(n): 394496231875200
• Sum of proper divisors (its aliquot sum) s(n): 256753738414512
• 137742493460688 is an abundant number, because the sum of its proper divisors (256753738414512) is greater than itself. Its abundance is 119011244953824

Bases of 137742493460688

• Binary: 11111010100011010101100011001001010100011010000₂
• Hexadecimal: 0x7D46AC64A8D0
• Base-36: 1CTQ107840

Squares and roots of 137742493460688

• 137742493460688 squared (137742493460688²) is 18972994504767676442601433344
• 137742493460688 cubed (137742493460688³) is 2613387571502631031433704159165055716380672
• The square root of 137742493460688 is 11736374.8006225499
• The cube root of 137742493460688 is 51644.3299142805

Scales and comparisons

• 137,742,493,460,688 seconds is equal to 4,379,785 years, 11 weeks, 5 days, 11 hours, 4 minutes, 48 seconds.
• To count from 1 to 137,742,493,460,688 would take you about ten million, nine hundred forty-nine thousand, four hundred sixty-three 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 137742493460688 cubic inches would be around 4303.7 feet tall.

Recreational maths with 137742493460688

• 137742493460688 backwards is 886064394247731
• 137742493460688 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137742493460688's digits is 72
• More coming soon!