138045409787600
138,045,409,787,600 is an even composite number composed of seven prime numbers multiplied together.
138045409787600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138045409787600:
24 × 52 × 7 × 17 × 292 × 421 × 8191
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 29 × 29 × 421 × 8191)See below for interesting mathematical facts about the number 138045409787600 from the Numbermatics database.
Names of 138045409787600
- Cardinal: 138045409787600 can be written as One hundred thirty-eight trillion, forty-five billion, four hundred nine million, seven hundred eighty-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.380454097876 × 1014
Factors of 138045409787600
Divisors of 138045409787600
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 34 35 40 50 56 58 68 70 80 85 100 112 116 119 136 140 145 170 175 200 203 232 238 272 280 290 340 350 400 406 421 425 464 476 493 560 580 595 680 700 725 812 841 842 850 952 986 1015 1160 1190 1360 1400 1450 1624 1682 1684 1700 1904 1972 2030 2105 2320 2380 2465 2800 2900 2947 2975 3248 3364 3368 3400 3451 3944 4060 4205 4210 4760 4930 5075 5800 5887 5894 5950 6728 6736 6800 6902 7157 7888 8120 8191 8410 8420 9520 9860 10150 10525 11600 11774 11788 11900 12209 12325 13456 13804 14297 14314 14735 16240 16382 16820 16840 17255 19720 20300 21025 21050 23548 23576 23800 24418 24650 27608 28594 28628 29435 29470 32764 33640 33680 34510 35785 39440 40600 40955 42050 42100 47096 47152 47600 48836 49300 50099 55216 57188 57256 57337 58870 58940 61045 65528 67280 69020 71485 71570 73675 81200 81910 84100 84200 85463 86275 94192 97672 98600 100079 100198 114376 114512 114674 117740 117880 122090 131056 138040 139247 142970 143140 147175 147350 163820 168200 168400 170926 172550 178925 195344 197200 200158 200396 204775 207553 228752 229348 235480 235760 237539 244180 250495 276080 278494 285940 286280 286685 294350 294700 305225 327640 336400 341852 345100 354061 357425 357850 400316 400792 409550 415106 427315 458696 470960 475078 488360 500395 500990 556988 571880 572560 573370 588700 589400 610450 655280 683704 690200 696235 708122 714850 715700 800632 801584 819100 830212 854630 917392 950156 974729 976720 1000790 1001980 1037765 1113976 1143760 1146740 1177400 1178800 1187695 1220900 1252475 1367408 1380400 1392470 1416244 1429700 1431400 1433425 1452871 1601264 1638200 1660424 1662773 1709260 1770305 1900312 1949458 2001580 2003960 2075530 2136575 2227952 2293480 2354800 2375390 2441800 2478427 2501975 2504950 2784940 2832488 2859400 2862800 2866850 2905742 3276400 3320848 3325546 3418520 3448411 3481175 3540610 3800624 3898916 4003160 4007920 4038163 4151060 4273150 4586960 4750780 4873645 4883600 4956854 5003950 5009900 5188825 5569880 5664976 5718800 5733700 5811484 5938475 6019037 6651092 6837040 6888631 6896822 6962350 7081220 7264355 7797832 8006320 8076326 8302120 8313865 8546300 8851525 9501560 9747290 9913708 10007900 10019800 10377650 11139760 11467400 11622968 11876950 12038074 12392135 13302184 13777262 13793644 13924700 14162440 14528710 15595664 16152652 16604240 16627730 17092600 17242055 17703050 19003120 19494580 19827416 20015800 20039600 20190815 20755300 22934800 23245936 23753900 24076148 24138877 24368225 24784270 26604368 27554524 27587288 27849400 28267141 28324880 29057420 30095185 32305304 33255460 34185200 34443155 34484110 35406100 36321775 38989160 39654832 40031600 40381630 41510600 41569325 42133259 47507800 48152296 48220417 48277754 48736450 49568540 55109048 55174576 55698800 56534282 58114840 58622987 60190370 61960675 64610608 66510920 68886310 68968220 70812200 72643550 77978320 80763260 83021200 83138650 84266518 86210275 95015600 96304592 96440834 96555508 97472900 99137080 100003919 100954075 110218096 113068564 116229680 117106727 117245974 120380740 120694385 123921350 133021840 137772620 137936440 141335705 141624400 145287100 150475925 161526520 166277300 168533036 172215775 172420550 192881668 193111016 194945800 198274160 200007838 201908150 210666295 226137128 234213454 234491948 240761480 241102085 241388770 247842700 275545240 275872880 282671410 290574200 293114935 300951850 323053040 332554600 337066072 344431550 344841100 385763336 386222032 389891600 400015676 403816300 410360909 421332590 452274256 468426908 468983896 481522960 482204170 482777540 495685400 500019595 551090480 565342820 581148400 585533635 586229870 601903700 603471925 665109200 674132144 688863100 689682200 700027433 706678525 771526672 800031352 807632600 819747089 820721818 842665180 936853816 937967792 964408340 965555080 991370800 1000039190 1053331475 1130685640 1171067270 1172459740 1203807400 1205510425 1206943850 1377726200 1379364400 1400054866 1413357050 1465574675 1600062704 1615265200 1639494178 1641443636 1685330360 1700066623 1873707632 1928816680 1931110160 2000078380 2051804545 2106662950 2261371280 2342134540 2344919480 2407614800 2411020850 2413887700 2500097975 2755452400 2800109732 2826714100 2900113651 2927668175 2931149350 3278988356 3282887272 3370660720 3400133246 3500137165 3857633360 4000156760 4098735445 4103609090 4213325900 4684269080 4689838960 4822041700 4827775400 5000195950 5600219464 5653428200 5800227302 5855336350 5862298700 6557976712 6565774544 6800266492 7000274330 8000313520 8197470890 8207218180 8426651800 8500333115 9368538160 9644083400 9655550800 10000391900 10259022725 11200438928 11306856400 11600454604 11710672700 11724597400 11900466361 13115953424 13600532984 14000548660 14500568255 16394941780 16414436360 16853303600 17000666230 17500685825 19288166800 20000783800 20300795557 20493677225 20518045450 23200909208 23421345400 23449194800 23800932722 27201065968 28001097320 29001136510 32789883560 32828872720 34001332460 35001371650 40001567600 40601591114 40987354450 41036090900 42501665575 46401818416 46842690800 47601865444 49301932067 56002194640 58002273020 59502331805 65579767120 68002664920 70002743300 72502841275 81203182228 81974708900 82072181800 85003331150 95203730888 98603864134 101503977785 116004546040 119004663610 136005329840 140005486600 145005682550 162406364456 163949417800 164144363600 170006662300 190407461776 197207728268 203007955570 232009092080 238009327220 246509660335 280010973200 290011365100 297511659025 324812728912 327898835600 340013324600 345113524469 394415456536 406015911140 476018654440 493019320670 507519888925 580022730200 595023318050 680026649200 690227048938 788830913072 812031822280 952037308880 986038641340 1015039777850 1160045460400 1190046636100 1232548301675 1380454097876 1624063644560 1725567622345 1972077282680 2030079555700 2380093272200 2465096603350 2760908195752 3451135244690 3944154565360 4060159111400 4760186544400 4930193206700 5521816391504 6902270489380 8120318222800 8627838111725 9860386413400 13804540978760 17255676223450 19720772826800 27609081957520 34511352446900 69022704893800 138045409787600
- Sum of all divisors σ(n): 416683620827136
- Sum of proper divisors (its aliquot sum) s(n): 278638211039536
- 138045409787600 is an abundant number, because the sum of its proper divisors (278638211039536) is greater than itself. Its abundance is 140592801251936
Bases of 138045409787600
- Binary: 111110110001101001100111001110011111110110100002
- Hexadecimal: 0x7D8D339CFED0
- Base-36: 1CXL6ORDU8
Squares and roots of 138045409787600
- 138045409787600 squared (1380454097876002) is 19056535163426409877113760000
- 138045409787600 cubed (1380454097876003) is 2630667205767007687602449157942637376000000
-
The
square root of 138045409787600 is 11749272.7344121177 -
The
cube root of 138045409787600 is 51682.1600627825
Scales and comparisons
How big is 138045409787600?- 138,045,409,787,600 seconds is equal to 4,389,417 years, 1 week, 3 days, 11 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,045,409,787,600 would take you about ten million, nine hundred seventy-three thousand, five hundred forty-two 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 138045409787600 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138045409787600
- 138045409787600 backwards is 006787904540831
- The number of decimal digits it has is: 15
- The sum of 138045409787600's digits is 62
- More coming soon!
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