138226824
138,226,824 is an even composite number composed of five prime numbers multiplied together.
138226824 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138226824:
23 × 34 × 19 × 103 × 109
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 103 × 109)See below for interesting mathematical facts about the number 138226824 from the Numbermatics database.
Names of 138226824
- Cardinal: 138226824 can be written as One hundred thirty-eight million, two hundred twenty-six thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.38226824 × 108
Factors of 138226824
Divisors of 138226824
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 103 108 109 114 152 162 171 206 216 218 228 309 324 327 342 412 436 456 513 618 648 654 684 824 872 927 981 1026 1236 1308 1368 1539 1854 1957 1962 2052 2071 2472 2616 2781 2943 3078 3708 3914 3924 4104 4142 5562 5871 5886 6156 6213 7416 7828 7848 8284 8343 8829 11124 11227 11742 11772 12312 12426 15656 16568 16686 17613 17658 18639 22248 22454 23484 23544 24852 33372 33681 35226 35316 37278 44908 46968 49704 52839 55917 66744 67362 70452 70632 74556 89816 101043 105678 111834 134724 140904 149112 158517 167751 202086 211356 213313 223668 269448 303129 317034 335502 404172 422712 426626 447336 606258 634068 639939 671004 808344 853252 909387 1212516 1268136 1279878 1342008 1706504 1818774 1919817 2425032 2559756 3637548 3839634 5119512 5759451 7275096 7679268 11518902 15358536 17278353 23037804 34556706 46075608 69113412 138226824
- Sum of all divisors σ(n): 415272000
- Sum of proper divisors (its aliquot sum) s(n): 277045176
- 138226824 is an abundant number, because the sum of its proper divisors (277045176) is greater than itself. Its abundance is 138818352
Bases of 138226824
- Binary: 10000011110100101100100010002
- Hexadecimal: 0x83D2C88
- Base-36: 2AAOI0
Squares and roots of 138226824
- 138226824 squared (1382268242) is 19106654873126976
- 138226824 cubed (1382268243) is 2641052220376464841204224
-
The
square root of 138226824 is 11756.9904312285 -
The
cube root of 138226824 is 517.0478975211
Scales and comparisons
How big is 138226824?- 138,226,824 seconds is equal to 4 years, 20 weeks, 3 days, 20 hours, 20 minutes, 24 seconds.
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To count from 1 to 138,226,824 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 138226824 cubic inches would be around 43.1 feet tall.
Recreational maths with 138226824
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