138729888
138,729,888 is an even composite number composed of four prime numbers multiplied together.
138729888 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138729888:
25 × 33 × 112 × 1327
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 1327)See below for interesting mathematical facts about the number 138729888 from the Numbermatics database.
Names of 138729888
- Cardinal: 138729888 can be written as One hundred thirty-eight million, seven hundred twenty-nine thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38729888 × 108
Factors of 138729888
Divisors of 138729888
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1327 1452 1584 1936 2178 2376 2654 2904 3168 3267 3872 3981 4356 4752 5308 5808 6534 7962 8712 9504 10616 11616 11943 13068 14597 15924 17424 21232 23886 26136 29194 31848 34848 35829 42464 43791 47772 52272 58388 63696 71658 87582 95544 104544 116776 127392 131373 143316 160567 175164 191088 233552 262746 286632 321134 350328 382176 394119 467104 481701 525492 573264 642268 700656 788238 963402 1050984 1146528 1284536 1401312 1445103 1576476 1926804 2101968 2569072 2890206 3152952 3853608 4203936 4335309 5138144 5780412 6305904 7707216 8670618 11560824 12611808 15414432 17341236 23121648 34682472 46243296 69364944 138729888
- Sum of all divisors σ(n): 445092480
- Sum of proper divisors (its aliquot sum) s(n): 306362592
- 138729888 is an abundant number, because the sum of its proper divisors (306362592) is greater than itself. Its abundance is 167632704
Bases of 138729888
- Binary: 10000100010011011001101000002
- Hexadecimal: 0x844D9A0
- Base-36: 2ALGO0
Squares and roots of 138729888
- 138729888 squared (1387298882) is 19245981824492544
- 138729888 cubed (1387298883) is 2669992902961886285955072
-
The
square root of 138729888 is 11778.3652515959 -
The
cube root of 138729888 is 517.6743877729
Scales and comparisons
How big is 138729888?- 138,729,888 seconds is equal to 4 years, 21 weeks, 2 days, 16 hours, 4 minutes, 48 seconds.
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To count from 1 to 138,729,888 would take you about six 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 138729888 cubic inches would be around 43.1 feet tall.
Recreational maths with 138729888
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