138675680
138,675,680 is an even composite number composed of six prime numbers multiplied together.
138675680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138675680:
25 × 5 × 112 × 13 × 19 × 29
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 19 × 29)See below for interesting mathematical facts about the number 138675680 from the Numbermatics database.
Names of 138675680
- Cardinal: 138675680 can be written as One hundred thirty-eight million, six hundred seventy-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3867568 × 108
Factors of 138675680
Divisors of 138675680
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 26 29 32 38 40 44 52 55 58 65 76 80 88 95 104 110 116 121 130 143 145 152 160 176 190 208 209 220 232 242 247 260 286 290 304 319 352 377 380 416 418 440 464 484 494 520 551 572 580 605 608 638 715 754 760 836 880 928 968 988 1040 1045 1102 1144 1160 1210 1235 1276 1430 1508 1520 1573 1595 1672 1760 1885 1936 1976 2080 2090 2204 2288 2299 2320 2420 2470 2552 2717 2755 2860 3016 3040 3146 3190 3344 3509 3770 3872 3952 4147 4180 4408 4576 4598 4640 4840 4940 5104 5434 5510 5720 6032 6061 6292 6380 6688 7018 7163 7540 7865 7904 8294 8360 8816 9196 9680 9880 10208 10868 11020 11440 11495 12064 12122 12584 12760 13585 14036 14326 15080 15730 16588 16720 17545 17632 18392 19360 19760 20735 21736 22040 22880 22990 24244 25168 25520 27170 28072 28652 29887 30160 30305 31460 33176 33440 35090 35815 36784 39520 41470 43472 44080 45617 45980 48488 50336 51040 54340 56144 57304 59774 60320 60610 62920 66352 66671 70180 71630 73568 78793 82940 86944 88160 91234 91960 96976 108680 112288 114608 119548 121220 125840 132704 133342 140360 143260 149435 157586 165880 182468 183920 193952 217360 228085 229216 239096 242440 251680 266684 280720 286520 298870 315172 331760 333355 364936 367840 393965 434720 456170 478192 484880 533368 561440 573040 597740 630344 663520 666710 729872 787930 866723 912340 956384 969760 1066736 1146080 1195480 1260688 1333420 1459744 1575860 1733446 1824680 2133472 2390960 2521376 2666840 3151720 3466892 3649360 4333615 4781920 5333680 6303440 6933784 7298720 8667230 10667360 12606880 13867568 17334460 27735136 34668920 69337840 138675680
- Sum of all divisors σ(n): 422301600
- Sum of proper divisors (its aliquot sum) s(n): 283625920
- 138675680 is an abundant number, because the sum of its proper divisors (283625920) is greater than itself. Its abundance is 144950240
Bases of 138675680
- Binary: 10000100010000000101111000002
- Hexadecimal: 0x84405E0
- Base-36: 2AKAU8
Squares and roots of 138675680
- 138675680 squared (1386756802) is 19230944223462400
- 138675680 cubed (1386756803) is 2666864267230720274432000
-
The
square root of 138675680 is 11776.0638585225 -
The
cube root of 138675680 is 517.6069527751
Scales and comparisons
How big is 138675680?- 138,675,680 seconds is equal to 4 years, 21 weeks, 2 days, 1 hour, 1 minute, 20 seconds.
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To count from 1 to 138,675,680 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 138675680 cubic inches would be around 43.1 feet tall.
Recreational maths with 138675680
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