138842496
138,842,496 is an even composite number composed of five prime numbers multiplied together.
138842496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138842496:
27 × 32 × 13 × 73 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 73 × 127)See below for interesting mathematical facts about the number 138842496 from the Numbermatics database.
Names of 138842496
- Cardinal: 138842496 can be written as One hundred thirty-eight million, eight hundred forty-two thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.38842496 × 108
Factors of 138842496
Divisors of 138842496
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 73 78 96 104 117 127 128 144 146 156 192 208 219 234 254 288 292 312 381 384 416 438 468 508 576 584 624 657 762 832 876 936 949 1016 1143 1152 1168 1248 1314 1524 1651 1664 1752 1872 1898 2032 2286 2336 2496 2628 2847 3048 3302 3504 3744 3796 4064 4572 4672 4953 4992 5256 5694 6096 6604 7008 7488 7592 8128 8541 9144 9271 9344 9906 10512 11388 12192 13208 14016 14859 14976 15184 16256 17082 18288 18542 19812 21024 22776 24384 26416 27813 28032 29718 30368 34164 36576 37084 39624 42048 45552 48768 52832 55626 59436 60736 68328 73152 74168 79248 83439 84096 91104 105664 111252 118872 120523 121472 136656 146304 148336 158496 166878 182208 211328 222504 237744 241046 273312 296672 316992 333756 361569 364416 445008 475488 482092 546624 593344 633984 667512 723138 890016 950976 964184 1084707 1093248 1186688 1335024 1446276 1780032 1901952 1928368 2169414 2670048 2892552 3560064 3856736 4338828 5340096 5785104 7713472 8677656 10680192 11570208 15426944 17355312 23140416 34710624 46280832 69421248 138842496
- Sum of all divisors σ(n): 439595520
- Sum of proper divisors (its aliquot sum) s(n): 300753024
- 138842496 is an abundant number, because the sum of its proper divisors (300753024) is greater than itself. Its abundance is 161910528
Bases of 138842496
- Binary: 10000100011010010001100000002
- Hexadecimal: 0x8469180
- Base-36: 2ANVK0
Squares and roots of 138842496
- 138842496 squared (1388424962) is 19277238695510016
- 138842496 cubed (1388424963) is 2676499936472394614439936
-
The
square root of 138842496 is 11783.1445718025 -
The
cube root of 138842496 is 517.8144165073
Scales and comparisons
How big is 138842496?- 138,842,496 seconds is equal to 4 years, 21 weeks, 3 days, 23 hours, 21 minutes, 36 seconds.
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To count from 1 to 138,842,496 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 138842496 cubic inches would be around 43.2 feet tall.
Recreational maths with 138842496
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