138673920
138,673,920 is an even composite number composed of six prime numbers multiplied together.
138673920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138673920:
28 × 3 × 5 × 72 × 11 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 67)See below for interesting mathematical facts about the number 138673920 from the Numbermatics database.
Names of 138673920
- Cardinal: 138673920 can be written as One hundred thirty-eight million, six hundred seventy-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3867392 × 108
Factors of 138673920
Divisors of 138673920
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 49 55 56 60 64 66 67 70 77 80 84 88 96 98 105 110 112 120 128 132 134 140 147 154 160 165 168 176 192 196 201 210 220 224 231 240 245 256 264 268 280 294 308 320 330 335 336 352 384 385 392 402 420 440 448 462 469 480 490 528 536 539 560 588 616 640 660 670 672 704 735 737 768 770 784 804 840 880 896 924 938 960 980 1005 1056 1072 1078 1120 1155 1176 1232 1280 1320 1340 1344 1407 1408 1470 1474 1540 1568 1608 1617 1680 1760 1792 1848 1876 1920 1960 2010 2112 2144 2156 2211 2240 2310 2345 2352 2464 2640 2680 2688 2695 2814 2816 2940 2948 3080 3136 3216 3234 3283 3360 3520 3685 3696 3752 3840 3920 4020 4224 4288 4312 4422 4480 4620 4690 4704 4928 5159 5280 5360 5376 5390 5628 5880 5896 6160 6272 6432 6468 6566 6720 7035 7040 7370 7392 7504 7840 8040 8085 8448 8576 8624 8844 8960 9240 9380 9408 9849 9856 10318 10560 10720 10780 11055 11256 11760 11792 12320 12544 12864 12936 13132 13440 14070 14080 14740 14784 15008 15477 15680 16080 16170 16415 17152 17248 17688 18480 18760 18816 19698 19712 20636 21120 21440 21560 22110 22512 23520 23584 24640 25728 25795 25872 26264 26880 28140 29480 29568 30016 30954 31360 32160 32340 32830 34496 35376 36113 36960 37520 37632 39396 41272 42240 42880 43120 44220 45024 47040 47168 49245 49280 51456 51590 51744 52528 56280 58960 59136 60032 61908 62720 64320 64680 65660 68992 70752 72226 73920 75040 77385 78792 82544 85760 86240 88440 90048 94080 94336 98490 98560 103180 103488 105056 108339 112560 117920 120064 123816 128640 129360 131320 137984 141504 144452 147840 150080 154770 157584 165088 172480 176880 180096 180565 188160 188672 196980 206360 206976 210112 216678 225120 235840 247632 257280 258720 262640 283008 288904 295680 300160 309540 315168 330176 344960 353760 360192 361130 393960 412720 413952 420224 433356 450240 471680 495264 517440 525280 541695 566016 577808 600320 619080 630336 660352 689920 707520 722260 787920 825440 840448 866712 900480 943360 990528 1034880 1050560 1083390 1155616 1238160 1260672 1320704 1415040 1444520 1575840 1650880 1733424 1800960 1981056 2069760 2101120 2166780 2311232 2476320 2521344 2830080 2889040 3151680 3301760 3466848 3962112 4202240 4333560 4622464 4952640 5778080 6303360 6603520 6933696 8667120 9244928 9905280 11556160 12606720 13867392 17334240 19810560 23112320 27734784 34668480 46224640 69336960 138673920
- Sum of all divisors σ(n): 570423168
- Sum of proper divisors (its aliquot sum) s(n): 431749248
- 138673920 is an abundant number, because the sum of its proper divisors (431749248) is greater than itself. Its abundance is 293075328
Bases of 138673920
- Binary: 10000100001111111111000000002
- Hexadecimal: 0x843FF00
- Base-36: 2AK9HC
Squares and roots of 138673920
- 138673920 squared (1386739202) is 19230456088166400
- 138673920 cubed (1386739203) is 2666762729133900300288000
-
The
square root of 138673920 is 11775.9891304299 -
The
cube root of 138673920 is 517.6047630327
Scales and comparisons
How big is 138673920?- 138,673,920 seconds is equal to 4 years, 21 weeks, 2 days, 32 minutes.
-
To count from 1 to 138,673,920 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 138673920 cubic inches would be around 43.1 feet tall.
Recreational maths with 138673920
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