138738378144

Names of 138738378144

• Cardinal: 138738378144 can be written as One hundred thirty-eight billion, seven hundred thirty-eight million, three hundred seventy-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.38738378144 × 10¹¹

Factors of 138738378144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 5463

Divisors of 138738378144

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 53 71 73 96 106 142 146 159 212 213 219 284 292 318 424 426 438 568 584 636 848 852 876 1136 1168 1272 1696 1704 1752 2272 2336 2544 3408 3504 3763 3869 5088 5183 5261 6816 7008 7526 7738 10366 10522 11289 11607 15052 15476 15549 15783 20732 21044 22578 23214 30104 30952 31098 31566 41464 42088 45156 46428 60208 61904 62196 63132 82928 84176 90312 92856 120416 123808 124392 126264 165856 168352 180624 185712 248784 252528 274699 278833 361248 371424 373531 384053 497568 505056 549398 557666 747062 768106 824097 836499 1098796 1115332 1120593 1152159 1494124 1536212 1648194 1672998 2197592 2230664 2241186 2304318 2988248 3072424 3296388 3345996 4395184 4461328 4482372 4608636 5976496 6144848 6592776 6691992 8790368 8922656 8964744 9217272 11952992 12289696 13185552 13383984 17929488 18434544 19797143 20354809 26371104 26767968 27267763 35858976 36869088 39594286 40709618 54535526 59391429 61064427 79188572 81419236 81803289 109071052 118782858 122128854 158377144 162838472 163606578 218142104 237565716 244257708 316754288 325676944 327213156 436284208 475131432 488515416 633508576 651353888 654426312 872568416 950262864 977030832 1308852624 1445191439 1900525728 1954061664 2617705248 2890382878 4335574317 5780765756 8671148634 11561531512 17342297268 23123063024 34684594536 46246126048 69369189072 138738378144
• Sum of all divisors σ(n): 381513017088
• Sum of proper divisors (its aliquot sum) s(n): 242774638944
• 138738378144 is an abundant number, because the sum of its proper divisors (242774638944) is greater than itself. Its abundance is 104036260800

Bases of 138738378144

• Binary: 10000001001101011100111010010110100000₂
• Hexadecimal: 0x204D73A5A0
• Base-36: 1RQH8XPC

Squares and roots of 138738378144

• 138738378144 squared (138738378144²) is 19248337570027536884736
• 138738378144 cubed (138738378144³) is 2670483136433842492807410909609984
• The square root of 138738378144 is 372476.0101590437
• The cube root of 138738378144 is 5176.8494795927

Scales and comparisons

• 138,738,378,144 seconds is equal to 4,411 years, 23 weeks, 3 days, 6 hours, 22 minutes, 24 seconds.
• To count from 1 to 138,738,378,144 would take you about eight thousand, eight hundred twenty-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 138738378144 cubic inches would be around 431.4 feet tall.

Recreational maths with 138738378144

• 138738378144 backwards is 441873837831
• The number of decimal digits it has is: 12
• The sum of 138738378144's digits is 57
• More coming soon!