138668016960
138,668,016,960 is an even composite number composed of six prime numbers multiplied together.
138668016960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138668016960:
26 × 33 × 5 × 11 × 191 × 7639
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 191 × 7639)See below for interesting mathematical facts about the number 138668016960 from the Numbermatics database.
Names of 138668016960
- Cardinal: 138668016960 can be written as One hundred thirty-eight billion, six hundred sixty-eight million, sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3866801696 × 1011
Factors of 138668016960
Divisors of 138668016960
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 132 135 144 160 165 176 180 191 192 198 216 220 240 264 270 288 297 320 330 352 360 382 396 432 440 480 495 528 540 573 576 594 660 704 720 764 792 864 880 955 960 990 1056 1080 1146 1188 1320 1440 1485 1528 1584 1719 1728 1760 1910 1980 2101 2112 2160 2292 2376 2640 2865 2880 2970 3056 3168 3438 3520 3820 3960 4202 4320 4584 4752 5157 5280 5730 5940 6112 6303 6336 6876 7639 7640 7920 8404 8595 8640 9168 9504 10314 10505 10560 11460 11880 12224 12606 13752 15278 15280 15840 16808 17190 18336 18909 19008 20628 21010 22917 22920 23760 25212 25785 27504 30556 30560 31515 31680 33616 34380 36672 37818 38195 41256 42020 45834 45840 47520 50424 51570 55008 56727 61112 61120 63030 67232 68751 68760 75636 76390 82512 84029 84040 91668 91680 94545 95040 100848 103140 110016 113454 114585 122224 126060 134464 137502 137520 151272 152780 165024 168058 168080 183336 183360 189090 201696 206253 206280 226908 229170 244448 252087 252120 275004 275040 283635 302544 305560 330048 336116 336160 343755 366672 378180 403392 412506 412560 420145 453816 458340 488896 504174 504240 550008 550080 567270 605088 611120 672232 672320 687510 733344 756261 756360 825012 825120 840290 907632 916680 1008348 1008480 1031265 1100016 1134540 1210176 1222240 1260435 1344464 1375020 1459049 1466688 1512522 1512720 1650024 1650240 1680580 1815264 1833360 2016696 2016960 2062530 2200032 2268783 2269080 2444480 2520870 2688928 2750040 2918098 3025044 3025440 3300048 3361160 3630528 3666720 3781305 4033392 4125060 4377147 4400064 4537566 4538160 5041740 5377856 5500080 5836196 6050088 6050880 6600096 6722320 7295245 7333440 7562610 8066784 8250120 8754294 9075132 9076320 10083480 11000160 11343915 11672392 12100176 13131441 13200192 13444640 14590490 15125220 16049539 16133568 16500240 17508588 18150264 18152640 20166960 21885735 22000320 22687830 23344784 24200352 26262882 26889280 29180980 30250440 32099078 33000480 35017176 36300528 39394323 40333920 43771470 45375660 46689568 48148617 48400704 52525764 58361960 60500880 64198156 65657205 66000960 70034352 72601056 78788646 80247695 80667840 87542940 90751320 93379136 96297234 105051528 116723920 121001760 128396312 131314410 140068704 144445851 145202112 157577292 160495390 175085880 181502640 192594468 196971615 210103056 233447840 240743085 242003520 256792624 262628820 280137408 288891702 315154584 320990780 350171760 363005280 385188936 393943230 420206112 433337553 466895680 481486170 513585248 525257640 577783404 630309168 641981560 700343520 722229255 726010560 770377872 787886460 840412224 866675106 962972340 1027170496 1050515280 1155566808 1260618336 1283963120 1400687040 1444458510 1540755744 1575772920 1733350212 1925944680 2101030560 2166687765 2311133616 2521236672 2567926240 2888917020 3081511488 3151545840 3466700424 3851889360 4202061120 4333375530 4622267232 5135852480 5777834040 6303091680 6933400848 7703778720 8666751060 9244534464 11555668080 12606183360 13866801696 15407557440 17333502120 23111336160 27733603392 34667004240 46222672320 69334008480 138668016960
- Sum of all divisors σ(n): 536526028800
- Sum of proper divisors (its aliquot sum) s(n): 397858011840
- 138668016960 is an abundant number, because the sum of its proper divisors (397858011840) is greater than itself. Its abundance is 259189994880
Bases of 138668016960
- Binary: 100000010010010100001000000101010000002
- Hexadecimal: 0x2049420540
- Base-36: 1RPBCUO0
Squares and roots of 138668016960
- 138668016960 squared (1386680169602) is 19228818927618847641600
- 138668016960 cubed (1386680169603) is 2666422189175819377181044801536000
-
The
square root of 138668016960 is 372381.5475557295 -
The
cube root of 138668016960 is 5175.9741850099
Scales and comparisons
How big is 138668016960?- 138,668,016,960 seconds is equal to 4,409 years, 11 weeks, 21 hours, 36 minutes.
-
To count from 1 to 138,668,016,960 would take you about eight thousand, eight hundred eighteen 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 138668016960 cubic inches would be around 431.3 feet tall.
Recreational maths with 138668016960
- 138668016960 backwards is 069610866831
- 138668016960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138668016960's digits is 54
- More coming soon!
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