138967920
138,967,920 is an even composite number composed of six prime numbers multiplied together.
138967920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138967920:
24 × 33 × 5 × 72 × 13 × 101
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 101)See below for interesting mathematical facts about the number 138967920 from the Numbermatics database.
Names of 138967920
- Cardinal: 138967920 can be written as One hundred thirty-eight million, nine hundred sixty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3896792 × 108
Factors of 138967920
Divisors of 138967920
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 49 52 54 56 60 63 65 70 72 78 80 84 90 91 98 101 104 105 108 112 117 120 126 130 135 140 144 147 156 168 180 182 189 195 196 202 208 210 216 234 240 245 252 260 270 273 280 294 303 312 315 336 351 360 364 378 390 392 404 420 432 441 455 468 490 504 505 520 540 546 560 585 588 606 624 630 637 702 707 720 728 735 756 780 784 808 819 840 882 909 910 936 945 980 1008 1010 1040 1080 1092 1170 1176 1212 1260 1274 1313 1323 1365 1404 1414 1456 1470 1512 1515 1560 1616 1638 1680 1755 1764 1818 1820 1872 1890 1911 1960 2020 2121 2160 2184 2205 2340 2352 2424 2457 2520 2548 2626 2646 2727 2730 2808 2828 2940 3024 3030 3120 3185 3276 3510 3528 3535 3636 3640 3780 3822 3920 3939 4040 4095 4242 4368 4410 4545 4680 4848 4914 4949 5040 5096 5252 5292 5454 5460 5616 5656 5733 5880 6060 6363 6370 6552 6565 6615 7020 7056 7070 7272 7280 7560 7644 7878 8080 8190 8484 8820 9090 9191 9360 9555 9828 9898 10192 10504 10584 10605 10908 10920 11312 11466 11760 11817 12120 12285 12726 12740 13104 13130 13230 13635 14040 14140 14544 14847 15120 15288 15756 16380 16968 17199 17640 18180 18382 19089 19110 19656 19695 19796 21008 21168 21210 21816 21840 22932 23634 24240 24570 24745 25452 25480 26260 26460 27270 27573 28080 28280 28665 29694 30576 31512 31815 32760 33936 34398 35280 35451 36360 36764 38178 38220 39312 39390 39592 42420 43632 44541 45864 45955 47268 49140 49490 50904 50960 52520 52920 54540 55146 56560 57330 59085 59388 63024 63630 64337 65520 68796 70902 72720 73528 74235 76356 76440 78780 79184 82719 84840 85995 89082 91728 91910 94536 95445 98280 98980 101808 105040 105840 109080 110292 114660 118170 118776 127260 128674 133623 137592 137865 141804 147056 148470 152712 152880 157560 165438 169680 171990 177255 178164 183820 189072 190890 193011 196560 197960 218160 220584 222705 229320 236340 237552 248157 254520 257348 267246 275184 275730 283608 296940 305424 315120 321685 330876 343980 354510 356328 367640 381780 386022 395920 413595 441168 445410 458640 472680 496314 509040 514696 534492 551460 567216 579033 593880 643370 661752 668115 687960 709020 712656 735280 763560 772044 827190 890820 945360 965055 992628 1029392 1068984 1102920 1158066 1187760 1240785 1286740 1323504 1336230 1375920 1418040 1527120 1544088 1654380 1737099 1781640 1930110 1985256 2137968 2205840 2316132 2481570 2573480 2672460 2836080 2895165 3088176 3308760 3474198 3563280 3860220 3970512 4632264 4963140 5146960 5344920 5790330 6617520 6948396 7720440 8685495 9264528 9926280 10689840 11580660 13896792 15440880 17370990 19852560 23161320 27793584 34741980 46322640 69483960 138967920
- Sum of all divisors σ(n): 605586240
- Sum of proper divisors (its aliquot sum) s(n): 466618320
- 138967920 is an abundant number, because the sum of its proper divisors (466618320) is greater than itself. Its abundance is 327650400
Bases of 138967920
- Binary: 10000100100001111011011100002
- Hexadecimal: 0x8487B70
- Base-36: 2AQKC0
Squares and roots of 138967920
- 138967920 squared (1389679202) is 19312082789126400
- 138967920 cubed (1389679203) is 2683759976072694425088000
-
The
square root of 138967920 is 11788.4655490017 -
The
cube root of 138967920 is 517.9702929153
Scales and comparisons
How big is 138967920?- 138,967,920 seconds is equal to 4 years, 21 weeks, 5 days, 10 hours, 12 minutes.
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To count from 1 to 138,967,920 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 138967920 cubic inches would be around 43.2 feet tall.
Recreational maths with 138967920
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