138321792
138,321,792 is an even composite number composed of five prime numbers multiplied together.
138321792 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 138321792:
27 × 32 × 7 × 17 × 1009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 1009)See below for interesting mathematical facts about the number 138321792 from the Numbermatics database.
Names of 138321792
- Cardinal: 138321792 can be written as One hundred thirty-eight million, three hundred twenty-one thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.38321792 × 108
Factors of 138321792
Divisors of 138321792
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 128 136 144 153 168 192 204 224 238 252 272 288 306 336 357 384 408 448 476 504 544 576 612 672 714 816 896 952 1008 1009 1071 1088 1152 1224 1344 1428 1632 1904 2016 2018 2142 2176 2448 2688 2856 3027 3264 3808 4032 4036 4284 4896 5712 6054 6528 7063 7616 8064 8072 8568 9081 9792 11424 12108 14126 15232 16144 17136 17153 18162 19584 21189 22848 24216 28252 32288 34272 34306 36324 42378 45696 48432 51459 56504 63567 64576 68544 68612 72648 84756 96864 102918 113008 120071 127134 129152 137088 137224 145296 154377 169512 193728 205836 226016 240142 254268 274448 290592 308754 339024 360213 387456 411672 452032 480284 508536 548896 581184 617508 678048 720426 823344 904064 960568 1017072 1080639 1097792 1162368 1235016 1356096 1440852 1646688 1921136 2034144 2161278 2195584 2470032 2712192 2881704 3293376 3842272 4068288 4322556 4940064 5763408 6586752 7684544 8136576 8645112 9880128 11526816 15369088 17290224 19760256 23053632 34580448 46107264 69160896 138321792
- Sum of all divisors σ(n): 482133600
- Sum of proper divisors (its aliquot sum) s(n): 343811808
- 138321792 is an abundant number, because the sum of its proper divisors (343811808) is greater than itself. Its abundance is 205490016
Bases of 138321792
- Binary: 10000011111010011111100000002
- Hexadecimal: 0x83E9F80
- Base-36: 2ACPS0
Squares and roots of 138321792
- 138321792 squared (1383217922) is 19132918142091264
- 138321792 cubed (1383217923) is 2646499523603374264025088
-
The
square root of 138321792 is 11761.0285264511 -
The
cube root of 138321792 is 517.1662820775
Scales and comparisons
How big is 138321792?- 138,321,792 seconds is equal to 4 years, 20 weeks, 4 days, 22 hours, 43 minutes, 12 seconds.
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To count from 1 to 138,321,792 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 138321792 cubic inches would be around 43.1 feet tall.
Recreational maths with 138321792
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