138379434178048

Names of 138379434178048

• Cardinal: 138379434178048 can be written as One hundred thirty-eight trillion, three hundred seventy-nine billion, four hundred thirty-four million, one hundred seventy-eight thousand and forty-eight.

Scientific notation

• Scientific notation: 1.38379434178048 × 10¹⁴

Factors of 138379434178048

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 239941

Divisors of 138379434178048

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 7 8 14 16 23 28 32 46 47 56 64 92 94 112 128 149 161 184 188 224 256 298 322 329 368 376 448 512 596 644 658 736 752 896 1043 1081 1192 1288 1316 1472 1504 1792 2086 2162 2384 2576 2632 2944 3008 3427 3584 4172 4324 4768 5152 5264 5888 6016 6854 7003 7567 8344 8648 9536 10304 10528 11776 12032 13708 14006 15134 16688 17296 19072 20608 21056 23989 24064 27416 28012 30268 33376 34592 38144 41216 42112 47978 49021 54832 56024 60536 66752 69184 76288 82432 84224 95956 98042 109664 112048 121072 133504 138368 161069 168448 191912 196084 219328 224096 239713 242144 267008 276736 322138 383824 392168 438656 448192 479426 484288 534016 553472 644276 767648 784336 877312 896384 958852 968576 1127483 1288552 1535296 1568672 1677991 1754624 1792768 1917704 1937152 2254966 2577104 3070592 3137344 3355982 3585536 3835408 3874304 4509932 5154208 5513399 6141184 6274688 6711964 7670816 9019864 10308416 11026798 11266511 12282368 12549376 13423928 15341632 18039728 20616832 22053596 22533022 25098752 26847856 30683264 35717237 36079456 38593793 41233664 44107192 45066044 53695712 61366528 71434474 72158912 77187586 78865577 82467328 88214384 90132088 107391424 122733056 142868948 144317824 154375172 157731154 176428768 180264176 214782848 250020659 259129753 285737896 288635648 308750344 315462308 352857536 360528352 429565696 500041318 518259506 571475792 577271296 617500688 630924616 705715072 721056704 821496451 859131392 1000082636 1036519012 1142951584 1235001376 1261849232 1411430144 1442113408 1642992902 1678710139 1813908271 2000165272 2073038024 2285903168 2470002752 2523698464 2822860288 2884226816 3285985804 3357420278 3627816542 4000330544 4146076048 4571806336 4940005504 5047396928 5750475157 5768453632 6571971608 6714840556 7255633084 8000661088 8292152096 9143612672 9880011008 10094793856 11500950314 11750970973 13143943216 13429681112 14511266168 16001322176 16584304192 18287225344 19760022016 20189587712 23001900628 23501941946 26287886432 26859362224 29022532336 32002644352 33168608384 38610333197 40379175424 46003801256 47003883892 52575772864 53718724448 58045064672 64005288704 66337216768 77220666394 92007602512 94007767784 105151545728 107437448896 116090129344 128010577408 132674433536 154441332788 184015205024 188015535568 210303091456 214874897792 232180258688 270272332379 308882665576 368030410048 376031071136 420606182912 429749795584 464360517376 540544664758 617765331152 736060820096 752062142272 859499591168 928721034752 1081089329516 1235530662304 1472121640192 1504124284544 2162178659032 2471061324608 2944243280384 3008248569088 4324357318064 4942122649216 6016497138176 8648714636128 9884245298432 17297429272256 19768490596864 34594858544512 69189717089024 138379434178048
• Sum of all divisors σ(n): 339002388172800
• Sum of proper divisors (its aliquot sum) s(n): 200622953994752
• 138379434178048 is an abundant number, because the sum of its proper divisors (200622953994752) is greater than itself. Its abundance is 62243519816704

Bases of 138379434178048

• Binary: 11111011101101011111001000001001011011000000000₂
• Hexadecimal: 0x7DDAF904B600
• Base-36: 1D1UMU9B0G

Squares and roots of 138379434178048

• 138379434178048 squared (138379434178048²) is 19148867803436718961365090304
• 138379434178048 cubed (138379434178048³) is 2649809491789814039357070001259539534446592
• The square root of 138379434178048 is 11763478.8297530421
• The cube root of 138379434178048 is 51723.8110843633

Scales and comparisons

• 138,379,434,178,048 seconds is equal to 4,400,037 years, 50 weeks, 3 days, 12 hours, 7 minutes, 28 seconds.
• To count from 1 to 138,379,434,178,048 would take you about eleven million and ninety-four 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 138379434178048 cubic inches would be around 4310.3 feet tall.

Recreational maths with 138379434178048

• 138379434178048 backwards is 840871434973831
• The number of decimal digits it has is: 15
• The sum of 138379434178048's digits is 70
• More coming soon!