83136144
83,136,144 is an even composite number composed of five prime numbers multiplied together.
83136144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 83136144:
24 × 3 × 72 × 13 × 2719
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 2719)See below for interesting mathematical facts about the number 83136144 from the Numbermatics database.
Names of 83136144
- Cardinal: 83136144 can be written as Eighty-three million, one hundred thirty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 8.3136144 × 107
Factors of 83136144
Divisors of 83136144
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 2719 3822 4368 5096 5438 7644 8157 10192 10876 15288 16314 19033 21752 30576 32628 35347 38066 43504 57099 65256 70694 76132 106041 114198 130512 133231 141388 152264 212082 228396 247429 266462 282776 304528 399693 424164 456792 494858 532924 565552 742287 799386 848328 913584 989716 1065848 1484574 1598772 1696656 1732003 1979432 2131696 2969148 3197544 3464006 3958864 5196009 5938296 6395088 6928012 10392018 11876592 13856024 20784036 27712048 41568072 83136144
- Sum of all divisors σ(n): 269149440
- Sum of proper divisors (its aliquot sum) s(n): 186013296
- 83136144 is an abundant number, because the sum of its proper divisors (186013296) is greater than itself. Its abundance is 102877152
Bases of 83136144
- Binary: 1001111010010001110100100002
- Hexadecimal: 0x4F48E90
- Base-36: 1DHW9C
Squares and roots of 83136144
- 83136144 squared (831361442) is 6911618439188736
- 83136144 cubed (831361443) is 574605305833449999273984
-
The
square root of 83136144 is 9117.9023903527 -
The
cube root of 83136144 is 436.4454387675
Scales and comparisons
How big is 83136144?- 83,136,144 seconds is equal to 2 years, 33 weeks, 3 days, 5 hours, 22 minutes, 24 seconds.
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To count from 1 to 83,136,144 would take you about three 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 83136144 cubic inches would be around 36.4 feet tall.
Recreational maths with 83136144
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