138282067872
138,282,067,872 is an even composite number composed of five prime numbers multiplied together.
What does the number 138282067872 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 324 divisors.
138282067872 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 138282067872:
25 × 32 × 132 × 29 × 3132
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 29 × 313 × 313)See below for interesting mathematical facts about the number 138282067872 from the Numbermatics database.
Names of 138282067872
- Cardinal: 138282067872 can be written as One hundred thirty-eight billion, two hundred eighty-two million, sixty-seven thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.38282067872 × 1011
Factors of 138282067872
Divisors of 138282067872
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 169 174 208 232 234 261 288 312 313 338 348 377 416 464 468 507 522 624 626 676 696 754 928 936 939 1014 1044 1131 1248 1252 1352 1392 1508 1521 1872 1878 2028 2088 2262 2504 2704 2784 2817 3016 3042 3393 3744 3756 4056 4069 4176 4524 4901 5008 5408 5634 6032 6084 6786 7512 8112 8138 8352 9048 9077 9802 10016 11268 12064 12168 12207 13572 14703 15024 16224 16276 18096 18154 19604 22536 24336 24414 27144 27231 29406 30048 32552 36192 36308 36621 39208 44109 45072 48672 48828 52897 54288 54462 58812 65104 72616 73242 78416 81693 88218 90144 97656 97969 105794 108576 108924 117624 118001 130208 145232 146484 156832 158691 163386 176436 195312 195938 211588 217848 235248 236002 290464 292968 293907 317382 326772 352872 354003 390624 391876 423176 435696 470496 472004 476073 585936 587814 634764 653544 705744 708006 783752 846352 871392 881721 944008 952146 1062009 1171872 1175628 1269528 1273597 1307088 1411488 1416012 1534013 1567504 1692704 1763442 1888016 1904292 2124018 2351256 2539056 2547194 2614176 2832024 2841101 3068026 3135008 3526884 3776032 3808584 3820791 4248036 4602039 4702512 5078112 5094388 5664048 5682202 6136052 7053768 7617168 7641582 8496072 8523303 9204078 9405024 10188776 11328096 11364404 11462373 12272104 13806117 14107536 15234336 15283164 16556761 16992144 17046606 18408156 20377552 22728808 22924746 24544208 25569909 27612234 28215072 30566328 33113522 33984288 34093212 36816312 36934313 40755104 45457616 45849492 49088416 49670283 51139818 55224468 61132656 66227044 68186424 73632624 73868626 90915232 91698984 99340566 102279636 110448936 110802939 122265312 132454088 136372848 147265248 147737252 149010849 183397968 198681132 204559272 220897872 221605878 264908176 272745696 295474504 298021698 332408817 366795936 397362264 409118544 441795744 443211756 480146069 529816352 590949008 596043396 664817634 794724528 818237088 886423512 960292138 1181898016 1192086792 1329635268 1440438207 1589449056 1772847024 1920584276 2384173584 2659270536 2880876414 3545694048 3841168552 4321314621 4768347168 5318541072 5761752828 7682337104 8642629242 10637082144 11523505656 15364674208 17285258484 23047011312 34570516968 46094022624 69141033936 138282067872
- Sum of all divisors σ(n): 441910835730
- Sum of proper divisors (its aliquot sum) s(n): 303628767858
- 138282067872 is an abundant number, because the sum of its proper divisors (303628767858) is greater than itself. Its abundance is 165346699986
Bases of 138282067872
- Binary: 100000001100100100000011100111101000002
- Hexadecimal: 0x203240E7A0
- Base-36: 1RIXKMG0
Squares and roots of 138282067872
- 138282067872 squared (1382820678722) is 19121930294956414608384
- 138282067872 cubed (1382820678723) is 2644220062890815904158328588238848
-
The
square root of 138282067872 is 371862.9692131229 -
The
cube root of 138282067872 is 5171.1676964171
Scales and comparisons
How big is 138282067872?- 138,282,067,872 seconds is equal to 4,396 years, 48 weeks, 6 days, 21 hours, 31 minutes, 12 seconds.
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To count from 1 to 138,282,067,872 would take you about eight thousand, seven hundred ninety-three 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 138282067872 cubic inches would be around 430.9 feet tall.
Recreational maths with 138282067872
- 138282067872 backwards is 278760282831
- The number of decimal digits it has is: 12
- The sum of 138282067872's digits is 54
- More coming soon!
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