138312731930400
138,312,731,930,400 is an even composite number composed of five prime numbers multiplied together.
138312731930400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138312731930400:
25 × 33 × 52 × 6571 × 974489
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 6571 × 974489)See below for interesting mathematical facts about the number 138312731930400 from the Numbermatics database.
Names of 138312731930400
- Cardinal: 138312731930400 can be written as One hundred thirty-eight trillion, three hundred twelve billion, seven hundred thirty-one million, nine hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.383127319304 × 1014
Factors of 138312731930400
Divisors of 138312731930400
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 6571 7200 10800 13142 19713 21600 26284 32855 39426 52568 59139 65710 78852 98565 105136 118278 131420 157704 164275 177417 197130 210272 236556 262840 295695 315408 328550 354834 394260 473112 492825 525680 591390 630816 657100 709668 788520 887085 946224 974489 985650 1051360 1182780 1314200 1419336 1478475 1577040 1774170 1892448 1948978 1971300 2365560 2628400 2838672 2923467 2956950 3154080 3548340 3897956 3942600 4435425 4731120 4872445 5256800 5677344 5846934 5913900 7096680 7795912 7885200 8770401 8870850 9462240 9744890 11693868 11827800 14193360 14617335 15591824 15770400 17540802 17741700 19489780 23387736 23655600 24362225 26311203 28386720 29234670 31183648 35081604 35483400 38979560 43852005 46775472 47311200 48724450 52622406 58469340 70163208 70966800 73086675 77959120 87704010 93550944 97448900 105244812 116938680 131556015 140326416 141933600 146173350 155918240 175408020 194897800 210489624 219260025 233877360 263112030 280652832 292346700 350816040 389795600 420979248 438520050 467754720 526224060 584693400 657780075 701632080 779591200 841958496 877040100 1052448120 1169386800 1315560150 1403264160 1754080200 2104896240 2338773600 2631120300 3508160400 4209792480 5262240600 6403367219 7016320800 10524481200 12806734438 19210101657 21048962400 25613468876 32016836095 38420203314 51226937752 57630304971 64033672190 76840406628 96050508285 102453875504 115260609942 128067344380 153680813256 160084180475 172890914913 192101016570 204907751008 230521219884 256134688760 288151524855 307361626512 320168360950 345781829826 384202033140 461042439768 480252541425 512269377520 576303049710 614723253024 640336721900 691563659652 768404066280 864454574565 922084879536 960505082850 1024538755040 1152606099420 1280673443800 1383127319304 1440757624275 1536808132560 1728909149130 1844169759072 1921010165700 2305212198840 2561346887600 2766254638608 2881515248550 3073616265120 3457818298260 3842020331400 4322272872825 4610424397680 5122693775200 5532509277216 5763030497100 6915636596520 7684040662800 8644545745650 9220848795360 11526060994200 13831273193040 15368081325600 17289091491300 23052121988400 27662546386080 34578182982600 46104243976800 69156365965200 138312731930400
- Sum of all divisors σ(n): 500307687633600
- Sum of proper divisors (its aliquot sum) s(n): 361994955703200
- 138312731930400 is an abundant number, because the sum of its proper divisors (361994955703200) is greater than itself. Its abundance is 223682223772800
Bases of 138312731930400
- Binary: 111110111001011011100010100000100101111001000002
- Hexadecimal: 0x7DCB71412F20
- Base-36: 1D0ZZPGNC0
Squares and roots of 138312731930400
- 138312731930400 squared (1383127319304002) is 19130411814050691710444160000
- 138312731930400 cubed (1383127319304003) is 2645979520954950494703356559998206464000000
-
The
square root of 138312731930400 is 11760643.3467901747 -
The
cube root of 138312731930400 is 51715.4990376867
Scales and comparisons
How big is 138312731930400?- 138,312,731,930,400 seconds is equal to 4,397,917 years, 2 weeks, 2 days, 18 hours.
-
To count from 1 to 138,312,731,930,400 would take you about ten million, nine hundred ninety-four thousand, seven hundred ninety-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 138312731930400 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138312731930400
- 138312731930400 backwards is 004039137213831
- 138312731930400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138312731930400's digits is 45
- More coming soon!
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