137960640688000
137,960,640,688,000 is an even composite number composed of seven prime numbers multiplied together.
137960640688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 137960640688000:
27 × 53 × 132 × 19 × 292 × 31 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 19 × 29 × 29 × 31 × 103)See below for interesting mathematical facts about the number 137960640688000 from the Numbermatics database.
Names of 137960640688000
- Cardinal: 137960640688000 can be written as One hundred thirty-seven trillion, nine hundred sixty billion, six hundred forty million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.37960640688 × 1014
Factors of 137960640688000
Divisors of 137960640688000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 29 31 32 38 40 50 52 58 62 64 65 76 80 95 100 103 104 116 124 125 128 130 145 152 155 160 169 190 200 206 208 232 247 248 250 260 290 304 310 320 325 338 377 380 400 403 412 416 464 475 494 496 500 515 520 551 580 589 608 620 640 650 676 725 754 760 775 800 806 824 832 841 845 899 928 950 988 992 1000 1030 1040 1102 1160 1178 1216 1235 1240 1300 1339 1352 1450 1508 1520 1550 1600 1612 1625 1648 1664 1682 1690 1798 1856 1885 1900 1957 1976 1984 2000 2015 2060 2080 2204 2320 2356 2375 2432 2470 2480 2575 2600 2678 2704 2755 2900 2945 2987 3016 3040 3100 3193 3200 3211 3224 3250 3296 3364 3380 3596 3625 3712 3770 3800 3875 3914 3952 3968 4000 4030 4120 4160 4205 4225 4408 4495 4640 4712 4750 4901 4940 4960 5150 5200 5239 5356 5408 5510 5800 5890 5974 6032 6080 6175 6200 6386 6422 6448 6500 6592 6695 6728 6760 7163 7192 7250 7540 7600 7657 7750 7828 7904 8000 8060 8240 8320 8410 8450 8816 8990 9280 9424 9425 9500 9785 9802 9880 9920 10075 10300 10400 10478 10712 10816 10933 11020 11600 11687 11780 11948 12064 12160 12350 12400 12772 12844 12875 12896 13000 13184 13390 13456 13520 13775 14326 14384 14500 14725 14935 15080 15200 15314 15500 15656 15808 15965 15979 16000 16055 16120 16480 16820 16900 17081 17407 17632 17980 18560 18848 18850 19000 19570 19604 19760 19840 20150 20600 20800 20956 21025 21125 21424 21632 21866 22040 22475 23200 23374 23560 23896 24128 24505 24700 24800 25441 25544 25688 25750 25792 26000 26071 26195 26780 26912 27040 27550 28652 28768 29000 29450 29870 30160 30400 30628 30875 31000 31312 31616 31930 31958 32110 32240 32960 33475 33640 33800 34162 34814 35264 35815 35960 37696 37700 38000 38285 38831 39140 39208 39520 40300 41200 41509 41600 41912 42050 42250 42848 43732 44080 44950 46400 46748 47120 47125 47792 48256 48925 49010 49400 49600 50375 50882 51088 51376 51500 51584 52000 52142 52390 53560 53824 54080 54665 55100 56753 57304 57536 58000 58435 58900 59740 60320 60667 60800 61256 61750 62000 62624 63860 63916 64220 64480 65920 66950 67280 67600 68324 68875 69628 70528 71630 71920 73625 74675 75392 75400 76000 76570 77662 78280 78416 79040 79825 79895 80275 80600 82400 83018 83824 84100 84500 85405 85696 86623 87035 87464 88160 89900 92597 92800 93119 93496 94240 94250 95584 97850 98020 98800 99200 99541 100750 101764 102176 102752 103000 104000 104284 104780 105125 107120 107648 108160 109330 110200 112375 113506 114608 115072 116000 116870 117800 119480 120640 121334 122512 122525 123500 124000 125248 127205 127720 127832 128440 128960 130355 130975 133900 134560 135200 136648 137750 139256 142129 143260 143840 147250 149350 150800 151931 152000 153140 155324 156560 156832 158080 159650 159790 160550 161200 164800 166036 167375 167648 168200 169000 170810 171392 173246 174070 174928 176320 179075 179800 185194 186238 186992 188480 188500 191168 191425 194155 195700 196040 197600 199082 201500 203528 204352 205504 206000 207545 207727 208000 208568 209560 210250 214240 218660 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47572634720 50076457600 51020947000 51516296000 53061784880 53576947840 55629290600 55854510400 56727237125 58088690816 58557148000 59465793400 62595572000 66327231100 66971184800 68466819200 68980320344 69536613250 69818138000 70495984000 72610863520 73188668800 74332241750 76730056000 81633515200 82021784000 82909038875 83713981000 84898855808 85583524000 86225400430 89006864960 90763579400 91485836000 95145269440 102041894000 103032592000 106123569760 111258581200 111709020800 113454474250 117114296000 118931586800 125191144000 132654462200 133942369600 137960640688 139073226500 139636276000 145221727040 148664483500 153460112000 163267030400 164043568000 165818077750 167427962000 171167048000 172450800860 178013729920 181527158800 182971672000 190290538880 204083788000 212247139520 215563501075 222517162400 226908948500 234228592000 237863173600 250382288000 265308924400 267884739200 275921281376 278146453000 279272552000 290443454080 297328967000 331636155500 334855924000 342334096000 344901601720 363054317600 365943344000 408167576000 424494279040 431127002150 445034324800 453817897000 475726347200 530617848800 551842562752 556292906000 558545104000 594657934000 663272311000 669711848000 689803203440 726108635200 816335152000 862254004300 890068649600 907635794000 951452694400 1061235697600 1077817505375 1103685125504 1112585812000 1189315868000 1326544622000 1339423696000 1379606406880 1452217270400 1724508008600 1815271588000 2122471395200 2155635010750 2225171624000 2378631736000 2653089244000 2759212813760 3449016017200 3630543176000 4311270021500 4450343248000 4757263472000 5306178488000 5518425627520 6898032034400 7261086352000 8622540043000 10612356976000 13796064068800 17245080086000 27592128137600 34490160172000 68980320344000 137960640688000
- Sum of all divisors σ(n): 422033899622400
- Sum of proper divisors (its aliquot sum) s(n): 284073258934400
- 137960640688000 is an abundant number, because the sum of its proper divisors (284073258934400) is greater than itself. Its abundance is 146112618246400
Bases of 137960640688000
- Binary: 111110101111001011101101111101100101111100000002
- Hexadecimal: 0x7D7976FB2F80
- Base-36: 1CWI8RFDZ4
Squares and roots of 137960640688000
- 137960640688000 squared (1379606406880002) is 19033138379043441113344000000
- 137960640688000 cubed (1379606406880003) is 2625823965076194928581138266140672000000000
-
The
square root of 137960640688000 is 11745664.7614343225 -
The
cube root of 137960640688000 is 51671.5791309011
Scales and comparisons
How big is 137960640688000?- 137,960,640,688,000 seconds is equal to 4,386,721 years, 32 weeks, 6 days, 15 hours, 6 minutes, 40 seconds.
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To count from 1 to 137,960,640,688,000 would take you about ten million, nine hundred sixty-six thousand, eight hundred four 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 137960640688000 cubic inches would be around 4306 feet tall.
Recreational maths with 137960640688000
- 137960640688000 backwards is 000886046069731
- 137960640688000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137960640688000's digits is 58
- More coming soon!
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The information we have on file for 137960640688000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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