133822128384
133,822,128,384 is an even composite number composed of six prime numbers multiplied together.
What does the number 133822128384 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
133822128384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 133822128384:
28 × 32 × 7 × 23 × 367 × 983
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 23 × 367 × 983)See below for interesting mathematical facts about the number 133822128384 from the Numbermatics database.
Names of 133822128384
- Cardinal: 133822128384 can be written as One hundred thirty-three billion, eight hundred twenty-two million, one hundred twenty-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.33822128384 × 1011
Factors of 133822128384
Divisors of 133822128384
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 64 69 72 84 92 96 112 126 128 138 144 161 168 184 192 207 224 252 256 276 288 322 336 367 368 384 414 448 483 504 552 576 644 672 734 736 768 828 896 966 983 1008 1101 1104 1152 1288 1344 1449 1468 1472 1656 1792 1932 1966 2016 2202 2208 2304 2569 2576 2688 2898 2936 2944 2949 3303 3312 3864 3932 4032 4404 4416 5138 5152 5376 5796 5872 5888 5898 6606 6624 6881 7707 7728 7864 8064 8441 8808 8832 8847 10276 10304 11592 11744 11796 13212 13248 13762 15414 15456 15728 16128 16882 17616 17664 17694 20552 20608 20643 22609 23121 23184 23488 23592 25323 26424 26496 27524 30828 30912 31456 33764 35232 35388 41104 41216 41286 45218 46242 46368 46976 47184 50646 52848 52992 55048 59087 61656 61824 61929 62912 67528 67827 70464 70776 75969 82208 82572 90436 92484 92736 93952 94368 101292 105696 110096 118174 123312 123648 123858 125824 135056 135654 140928 141552 151938 158263 164416 165144 177261 180872 184968 185472 188736 202584 203481 211392 220192 236348 246624 247716 251648 270112 271308 281856 283104 303876 316526 328832 330288 354522 360761 361744 369936 370944 377472 405168 406962 422784 440384 472696 474789 493248 495432 531783 540224 542616 566208 607752 633052 657664 660576 709044 721522 723488 739872 754944 810336 813924 845568 880768 945392 949578 986496 990864 1063566 1080448 1082283 1085232 1132416 1215504 1266104 1321152 1418088 1424367 1443044 1446976 1479744 1620672 1627848 1761536 1890784 1899156 1972992 1981728 2127132 2160896 2164566 2170464 2264832 2431008 2525327 2532208 2642304 2836176 2848734 2886088 2893952 2959488 3241344 3246849 3255696 3781568 3798312 3963456 4254264 4329132 4340928 4862016 5050654 5064416 5284608 5672352 5697468 5772176 5787904 5918976 6482688 6493698 6511392 7563136 7575981 7596624 7926912 8297503 8508528 8658264 8681856 9724032 10101308 10128832 11344704 11394936 11544352 12987396 13022784 15126272 15151962 15193248 15853824 16595006 17017056 17316528 17363712 19448064 20202616 20257664 22689408 22727943 22789872 23088704 24892509 25974792 26045568 30303924 30386496 33190012 34034112 34633056 40405232 40515328 45378816 45455886 45579744 46177408 49785018 51949584 52091136 58082521 60607848 60772992 66380024 68068224 69266112 74677527 80810464 90911772 91159488 92354816 99570036 103899168 116165042 121215696 121545984 132760048 136136448 138532224 149355054 161620928 174247563 181823544 182318976 199140072 207798336 232330084 242431392 265520096 277064448 298710108 323241856 348495126 363647088 364637952 398280144 415596672 464660168 484862784 522742689 531040192 597420216 646483712 696990252 727294176 796560288 831193344 929320336 969725568 1045485378 1062080384 1194840432 1393980504 1454588352 1593120576 1858640672 1939451136 2090970756 2124160768 2389680864 2787961008 2909176704 3186241152 3717281344 4181941512 4779361728 5575922016 5818353408 6372482304 7434562688 8363883024 9558723456 11151844032 14869125376 16727766048 19117446912 22303688064 33455532096 44607376128 66911064192 133822128384
- Sum of all divisors σ(n): 461857923072
- Sum of proper divisors (its aliquot sum) s(n): 328035794688
- 133822128384 is an abundant number, because the sum of its proper divisors (328035794688) is greater than itself. Its abundance is 194213666304
Bases of 133822128384
- Binary: 11111001010000110101110100001000000002
- Hexadecimal: 0x1F286BA100
- Base-36: 1PH68N40
Squares and roots of 133822128384
- 133822128384 squared (1338221283842) is 17908362045223778451456
- 133822128384 cubed (1338221283843) is 2396535124763089293940317543727104
-
The
square root of 133822128384 is 365817.0695634637 -
The
cube root of 133822128384 is 5114.9647404569
Scales and comparisons
How big is 133822128384?- 133,822,128,384 seconds is equal to 4,255 years, 6 weeks, 5 days, 5 hours, 26 minutes, 24 seconds.
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To count from 1 to 133,822,128,384 would take you about eight thousand, five hundred ten 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 133822128384 cubic inches would be around 426.2 feet tall.
Recreational maths with 133822128384
- 133822128384 backwards is 483821228331
- The number of decimal digits it has is: 12
- The sum of 133822128384's digits is 45
- More coming soon!
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