138120454825920
138,120,454,825,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138120454825920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2352 divisors.
138120454825920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 138120454825920:
26 × 36 × 5 × 7 × 412 × 67 × 751
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 41 × 41 × 67 × 751)See below for interesting mathematical facts about the number 138120454825920 from the Numbermatics database.
Names of 138120454825920
- Cardinal: 138120454825920 can be written as One hundred thirty-eight trillion, one hundred twenty billion, four hundred fifty-four million, eight hundred twenty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3812045482592 × 1014
Factors of 138120454825920
Divisors of 138120454825920
- Number of divisors d(n): 2352
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 41 42 45 48 54 56 60 63 64 67 70 72 80 81 82 84 90 96 105 108 112 120 123 126 134 135 140 144 160 162 164 168 180 189 192 201 205 210 216 224 240 243 246 252 268 270 280 287 288 315 320 324 328 335 336 360 369 378 402 405 410 420 432 448 469 480 486 492 504 536 540 560 567 574 576 603 615 630 648 656 670 672 720 729 738 751 756 804 810 820 840 861 864 938 945 960 972 984 1005 1008 1072 1080 1107 1120 1134 1148 1206 1215 1230 1260 1296 1312 1340 1344 1407 1435 1440 1458 1476 1502 1512 1608 1620 1640 1680 1681 1701 1722 1728 1809 1845 1876 1890 1944 1968 2010 2016 2144 2160 2214 2240 2253 2268 2296 2345 2412 2430 2460 2520 2583 2592 2624 2680 2747 2814 2835 2870 2880 2916 2952 3004 3015 3024 3216 3240 3280 3321 3360 3362 3402 3444 3618 3645 3690 3752 3755 3780 3888 3936 4020 4032 4221 4288 4305 4320 4428 4506 4536 4592 4690 4824 4860 4920 5040 5043 5103 5166 5184 5257 5360 5427 5494 5535 5628 5670 5740 5832 5904 6008 6030 6048 6432 6480 6560 6642 6720 6724 6759 6804 6888 7035 7236 7290 7380 7504 7510 7560 7749 7776 7872 8040 8241 8405 8442 8505 8610 8640 8856 9012 9045 9072 9184 9380 9648 9720 9840 9963 10080 10086 10206 10332 10514 10720 10854 10988 11070 11256 11265 11340 11480 11664 11767 11808 12016 12060 12096 12663 12864 12915 12960 13120 13284 13448 13518 13608 13735 13776 14070 14472 14580 14760 15008 15020 15120 15129 15498 15552 15771 16080 16281 16482 16605 16810 16884 17010 17220 17712 18024 18090 18144 18368 18760 19229 19296 19440 19680 19926 20160 20172 20277 20412 20664 21028 21105 21440 21708 21976 22140 22512 22530 22680 22960 23247 23328 23534 23616 24032 24120 24723 25215 25326 25515 25830 25920 26285 26568 26896 27036 27135 27216 27470 27552 28140 28944 29160 29520 29889 30016 30040 30240 30258 30791 30996 31542 32160 32562 32964 33210 33620 33768 33795 34020 34440 35301 35424 36048 36180 36288 37520 37989 38458 38592 38745 38880 39360 39852 40344 40554 40824 41205 41328 42056 42210 43416 43952 44280 45024 45060 45360 45387 45920 46494 46656 47068 47313 48064 48240 48843 49446 49815 50317 50430 50652 51030 51660 52570 53136 53792 54072 54270 54432 54940 55104 56280 57687 57888 58320 58835 59040 59778 60080 60480 60516 60831 61582 61992 63084 63315 64320 65124 65928 66420 67240 67536 67590 68040 68880 69741 70602 70848 72096 72360 74169 75040 75645 75978 76916 77490 77760 78855 79704 80688 81108 81405 81648 82410 82656 84112 84420 86832 87904 88560 90048 90120 90720 90774 91840 92373 92988 94136 94626 96145 96480 97686 98892 99630 100634 100860 101304 101385 102060 103320 105140 105903 106272 107584 108144 108540 108864 109880 112560 112627 113967 115374 115776 116235 116640 117670 118080 119556 120160 121032 121662 123164 123615 123984 126168 126630 130248 131856 132840 134480 135072 135180 136080 136161 137760 139482 141204 141939 144192 144720 148338 149445 150080 150951 151290 151956 153832 153955 154980 157710 159408 161376 162216 162810 163296 164820 165312 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63944655012 64421853930 68512130370 68716644192 70183157940 71049616680 73079605728 73624975920 74862035136 76351826880 79930818765 80209323360 81199561920 82165648320 82214556444 84219789528 85259540016 85895805240 91349507160 91957692960 93577543920 94732822240 95916982518 96251188032 98166634560 102768195555 103074966288 105274736910 106574425020 109619408592 112293052704 113679386688 114527740320 120313985040 121799342880 123321834666 124770058560 127889310024 128843707860 137024260740 137433288384 140366315880 142099233360 143875473777 146159211456 147249951840 159861637530 160418646720 164429112888 168439579056 170519080032 171791610480 182699014320 183915385920 187155087840 189465644480 191833965036 205536391110 206149932576 210549473820 213148850040 219238817184 224586105408 229055480640 239792456295 240627970080 243598685760 246643669332 255778620048 257687415720 274048521480 280732631760 284198466720 287750947554 294499903680 308304586665 319723275060 328858225776 336879158112 341038160064 343583220960 365398028640 374310175680 383667930072 411072782220 412299865152 421098947640 426297700080 431626421331 438477634368 479584912590 481255940160 493287338664 511557240096 515374831440 548097042960 561465263520 568396933440 575501895108 616609173330 639446550120 657716451552 673758316224 687166441920 719377368885 730796057280 767335860144 822145564440 842197895280 852595400160 863252842662 959169825180 986574677328 1023114480192 1030749662880 1096194085920 1122930527040 1151003790216 1233218346660 1278893100240 1315432903104 1438754737770 1534671720288 1644291128880 1684395790560 1705190800320 1726505685324 1918339650360 1973149354656 2061499325760 2158132106655 2192388171840 2302007580432 2466436693320 2557786200480 2877509475540 3069343440576 3288582257760 3368791581120 3453011370648 3836679300720 3946298709312 4316264213310 4604015160864 4932873386640 5115572400960 5755018951080 6577164515520 6906022741296 7673358601440 8632528426620 9208030321728 9865746773280 11510037902160 13812045482592 15346717202880 17265056853240 19731493546560 23020075804320 27624090965184 34530113706480 46040151608640 69060227412960 138120454825920
- Sum of all divisors σ(n): 587052782736384
- Sum of proper divisors (its aliquot sum) s(n): 448932327910464
- 138120454825920 is an abundant number, because the sum of its proper divisors (448932327910464) is greater than itself. Its abundance is 310811873084544
Bases of 138120454825920
- Binary: 111110110011110101011001010010101100111110000002
- Hexadecimal: 0x7D9EACA567C0
- Base-36: 1CYJNSN000
Squares and roots of 138120454825920
- 138120454825920 squared (1381204548259202) is 19077260041319007417503846400
- 138120454825920 cubed (1381204548259203) is 2634959833739330676661193417779042418688000
-
The
square root of 138120454825920 is 11752465.9040526469 -
The
cube root of 138120454825920 is 51691.5236171009
Scales and comparisons
How big is 138120454825920?- 138,120,454,825,920 seconds is equal to 4,391,803 years, 11 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 138,120,454,825,920 would take you about ten million, nine hundred seventy-nine thousand, five hundred eight 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 138120454825920 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138120454825920
- 138120454825920 backwards is 029528454021831
- 138120454825920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138120454825920's digits is 54
- More coming soon!
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The information we have on file for 138120454825920 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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