138382069722120
138,382,069,722,120 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138382069722120 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
138382069722120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138382069722120:
23 × 33 × 5 × 72 × 173 × 19 × 109 × 257
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 17 × 17 × 17 × 19 × 109 × 257)See below for interesting mathematical facts about the number 138382069722120 from the Numbermatics database.
Names of 138382069722120
- Cardinal: 138382069722120 can be written as One hundred thirty-eight trillion, three hundred eighty-two billion, sixty-nine million, seven hundred twenty-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3838206972212 × 1014
Factors of 138382069722120
Divisors of 138382069722120
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 19 20 21 24 27 28 30 34 35 36 38 40 42 45 49 51 54 56 57 60 63 68 70 72 76 84 85 90 95 98 102 105 108 109 114 119 120 126 133 135 136 140 147 152 153 168 170 171 180 189 190 196 204 210 216 218 228 238 245 252 255 257 266 270 280 285 289 294 306 315 323 327 340 342 357 360 378 380 392 399 408 420 436 441 456 459 476 490 504 510 513 514 532 540 545 570 578 588 595 612 630 646 654 665 680 684 714 735 756 760 763 765 771 798 833 840 855 867 872 882 918 931 945 952 969 980 981 1020 1026 1028 1064 1071 1080 1090 1140 1156 1176 1190 1197 1224 1260 1285 1292 1308 1323 1330 1368 1428 1445 1470 1512 1526 1530 1542 1596 1615 1635 1666 1710 1734 1764 1785 1799 1836 1853 1862 1890 1938 1960 1962 1995 2023 2040 2052 2056 2071 2142 2180 2205 2261 2280 2289 2295 2312 2313 2380 2394 2499 2520 2565 2570 2584 2601 2616 2646 2660 2793 2856 2890 2907 2940 2943 3052 3060 3084 3192 3213 3230 3270 3332 3420 3468 3528 3570 3591 3598 3672 3706 3724 3780 3815 3855 3876 3924 3990 4046 4104 4142 4165 4284 4335 4360 4369 4410 4522 4578 4590 4626 4655 4760 4788 4845 4883 4905 4913 4998 5130 5140 5202 5292 5320 5341 5355 5397 5491 5559 5586 5780 5814 5880 5886 5985 6069 6104 6120 6168 6213 6426 6460 6540 6615 6664 6783 6840 6867 6936 6939 7140 7182 7196 7412 7448 7497 7560 7630 7710 7752 7803 7848 7980 8092 8284 8330 8379 8568 8670 8721 8738 8820 8995 9044 9156 9180 9252 9265 9310 9576 9690 9766 9810 9826 9996 10115 10260 10280 10355 10404 10584 10682 10710 10794 10982 11118 11172 11305 11445 11560 11565 11628 11772 11970 12138 12426 12495 12593 12852 12920 12971 13005 13080 13107 13230 13566 13734 13878 13965 14161 14280 14364 14392 14497 14535 14649 14715 14739 14824 14994 15260 15420 15606 15827 15960 16023 16065 16184 16191 16473 16568 16660 16677 16758 17340 17442 17476 17640 17955 17990 18088 18207 18312 18360 18504 18530 18620 18639 19380 19532 19620 19652 19992 20230 20349 20520 20601 20710 20808 21364 21420 21588 21845 21964 22236 22344 22491 22610 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3641633413740 3843946381170 3953773420632 4070060874180 4612735657404 4942216775790 5125261841560 5765919571755 6589622367720 6919103486106 7283266827480 7687892762340 8140121748360 9225471314808 9884433551580 11531839143510 13838206972212 15375785524680 17297758715265 19768867103160 23063678287020 27676413944424 34595517430530 46127356574040 69191034861060 138382069722120
- Sum of all divisors σ(n): 607981334400000
- Sum of proper divisors (its aliquot sum) s(n): 469599264677880
- 138382069722120 is an abundant number, because the sum of its proper divisors (469599264677880) is greater than itself. Its abundance is 331217194955760
Bases of 138382069722120
- Binary: 111110111011011100101100001101111101100000010002
- Hexadecimal: 0x7DDB961BEC08
- Base-36: 1D1VUFE5U0
Squares and roots of 138382069722120
- 138382069722120 squared (1383820697221202) is 19149597220577680854017294400
- 138382069722120 cubed (1383820697221203) is 2649960897728495996724155059157082232128000
-
The
square root of 138382069722120 is 11763590.8515265865 -
The
cube root of 138382069722120 is 51724.1394556975
Scales and comparisons
How big is 138382069722120?- 138,382,069,722,120 seconds is equal to 4,400,121 years, 40 weeks, 1 day, 11 hours, 42 minutes.
-
To count from 1 to 138,382,069,722,120 would take you about eleven million, three 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 138382069722120 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138382069722120
- 138382069722120 backwards is 021227960283831
- 138382069722120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138382069722120's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138382069722120 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
APA style:
Numbermatics. (2024). Number 138382069722120 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/138382069722120/
Chicago style:
Numbermatics. 2024. "Number 138382069722120 - Facts about the integer". https://numbermatics.com/n/138382069722120/
The information we have on file for 138382069722120 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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