138881824128

Names of 138881824128

• Cardinal: 138881824128 can be written as One hundred thirty-eight billion, eight hundred eighty-one million, eight hundred twenty-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38881824128 × 10¹¹

Factors of 138881824128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2280

Divisors of 138881824128

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 288 318 384 421 424 432 477 576 636 842 848 864 954 1152 1263 1272 1431 1684 1696 1728 1801 1908 2526 2544 2862 3368 3392 3456 3602 3789 3816 5052 5088 5403 5724 6736 6784 7204 7578 7632 10104 10176 10806 11367 11448 13472 14408 15156 15264 16209 20208 20352 21612 22313 22734 22896 26944 28816 30312 30528 32418 40416 43224 44626 45468 45792 48627 53888 57632 60624 61056 64836 66939 80832 86448 89252 90936 91584 95453 97254 115264 121248 129672 133878 161664 172896 178504 181872 183168 190906 194508 200817 230528 242496 259344 267756 286359 345792 357008 363744 381812 389016 401634 484992 518688 535512 572718 602451 691584 714016 727488 758221 763624 778032 803268 859077 1037376 1071024 1145436 1204902 1428032 1454976 1516442 1527248 1556064 1606536 1718154 2074752 2142048 2274663 2290872 2409804 2577231 2856064 3032884 3054496 3112128 3213072 3436308 4284096 4549326 4581744 4819608 5154462 6065768 6108992 6224256 6426144 6823989 6872616 8568192 9098652 9163488 9639216 10308924 12131536 12217984 12852288 13647978 13745232 18197304 18326976 19278432 20471967 20617848 24263072 25704576 27295956 27490464 36394608 36653952 38556864 40185713 40943934 41235696 48526144 54591912 54980928 72789216 77113728 80371426 81887868 82471392 97052288 109183824 109961856 120557139 145578432 160742852 163775736 164942784 218367648 241114278 291156864 321485704 327551472 329885568 361671417 436735296 482228556 642971408 655102944 723342834 873470592 964457112 1085014251 1285942816 1310205888 1446685668 1928914224 2170028502 2571885632 2620411776 2893371336 3857828448 4340057004 5143771264 5786742672 7715656896 8680114008 11573485344 15431313792 17360228016 23146970688 34720456032 46293941376 69440912064 138881824128
• Sum of all divisors σ(n): 418852555200
• Sum of proper divisors (its aliquot sum) s(n): 279970731072
• 138881824128 is an abundant number, because the sum of its proper divisors (279970731072) is greater than itself. Its abundance is 141088906944

Bases of 138881824128

• Binary: 10000001010110000000000111010110000000₂
• Hexadecimal: 0x2056007580
• Base-36: 1RSUNHC0

Squares and roots of 138881824128

• 138881824128 squared (138881824128²) is 19288161073120722960384
• 138881824128 cubed (138881824128³) is 2678774993909687994296262199345152
• The square root of 138881824128 is 372668.5177580741
• The cube root of 138881824128 is 5178.6330343489

Scales and comparisons

• 138,881,824,128 seconds is equal to 4,416 years, 4 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 138,881,824,128 would take you about eight thousand, eight hundred thirty-two 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 138881824128 cubic inches would be around 431.6 feet tall.

Recreational maths with 138881824128

• 138881824128 backwards is 821428188831
• 138881824128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138881824128's digits is 54
• More coming soon!