138311712
138,311,712 is an even composite number composed of four prime numbers multiplied together.
138311712 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 138311712:
25 × 36 × 72 × 112
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11)See below for interesting mathematical facts about the number 138311712 from the Numbermatics database.
Names of 138311712
- Cardinal: 138311712 can be written as One hundred thirty-eight million, three hundred eleven thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 1.38311712 × 108
Factors of 138311712
Divisors of 138311712
- Number of divisors d(n): 378
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 66 72 77 81 84 88 96 98 99 108 112 121 126 132 144 147 154 162 168 176 189 196 198 216 224 231 242 243 252 264 288 294 297 308 324 336 352 363 378 392 396 432 441 462 484 486 504 528 539 567 588 594 616 648 672 693 726 729 756 784 792 847 864 882 891 924 968 972 1008 1056 1078 1089 1134 1176 1188 1232 1296 1323 1386 1452 1458 1512 1568 1584 1617 1694 1701 1764 1782 1848 1936 1944 2016 2079 2156 2178 2268 2352 2376 2464 2541 2592 2646 2673 2772 2904 2916 3024 3168 3234 3267 3388 3402 3528 3564 3696 3872 3888 3969 4158 4312 4356 4536 4704 4752 4851 5082 5103 5292 5346 5544 5808 5832 5929 6048 6237 6468 6534 6776 6804 7056 7128 7392 7623 7776 7938 8019 8316 8624 8712 9072 9504 9702 9801 10164 10206 10584 10692 11088 11616 11664 11858 11907 12474 12936 13068 13552 13608 14112 14256 14553 15246 15876 16038 16632 17248 17424 17787 18144 18711 19404 19602 20328 20412 21168 21384 22176 22869 23328 23716 23814 24948 25872 26136 27104 27216 28512 29106 29403 30492 31752 32076 33264 34848 35574 35721 37422 38808 39204 40656 40824 42336 42768 43659 45738 47432 47628 49896 51744 52272 53361 54432 56133 58212 58806 60984 63504 64152 66528 68607 71148 71442 74844 77616 78408 81312 81648 85536 87318 88209 91476 94864 95256 99792 104544 106722 112266 116424 117612 121968 127008 128304 130977 137214 142296 142884 149688 155232 156816 160083 163296 174636 176418 182952 189728 190512 199584 205821 213444 224532 232848 235224 243936 256608 261954 274428 284592 285768 299376 313632 320166 349272 352836 365904 381024 392931 411642 426888 449064 465696 470448 480249 523908 548856 569184 571536 598752 617463 640332 698544 705672 731808 785862 823284 853776 898128 940896 960498 1047816 1097712 1143072 1234926 1280664 1397088 1411344 1440747 1571724 1646568 1707552 1796256 1920996 2095632 2195424 2469852 2561328 2822688 2881494 3143448 3293136 3841992 4191264 4322241 4939704 5122656 5762988 6286896 6586272 7683984 8644482 9879408 11525976 12573792 15367968 17288964 19758816 23051952 34577928 46103904 69155856 138311712
- Sum of all divisors σ(n): 522020079
- Sum of proper divisors (its aliquot sum) s(n): 383708367
- 138311712 is an abundant number, because the sum of its proper divisors (383708367) is greater than itself. Its abundance is 245396655
Bases of 138311712
- Binary: 10000011111001111000001000002
- Hexadecimal: 0x83E7820
- Base-36: 2ACI00
Squares and roots of 138311712
- 138311712 squared (1383117122) is 19130129676370944
- 138311712 cubed (1383117123) is 2645920986320871211696128
-
The
square root of 138311712 is 11760.5999846947 -
The
cube root of 138311712 is 517.1537191915
Scales and comparisons
How big is 138311712?- 138,311,712 seconds is equal to 4 years, 20 weeks, 4 days, 19 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,311,712 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 138311712 cubic inches would be around 43.1 feet tall.
Recreational maths with 138311712
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