13440084224
13,440,084,224 is an even composite number composed of six prime numbers multiplied together.
13440084224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13440084224:
28 × 7 × 23 × 31 × 67 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 23 × 31 × 67 × 157)See below for interesting mathematical facts about the number 13440084224 from the Numbermatics database.
Names of 13440084224
- Cardinal: 13440084224 can be written as Thirteen billion, four hundred forty million, eighty-four thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.3440084224 × 1010
Factors of 13440084224
Divisors of 13440084224
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 67 92 112 124 128 134 157 161 184 217 224 248 256 268 314 322 368 434 448 469 496 536 628 644 713 736 868 896 938 992 1072 1099 1256 1288 1426 1472 1541 1736 1792 1876 1984 2077 2144 2198 2512 2576 2852 2944 3082 3472 3611 3752 3968 4154 4288 4396 4867 4991 5024 5152 5704 5888 6164 6944 7222 7504 7936 8308 8576 8792 9734 9982 10048 10304 10519 10787 11408 12328 13888 14444 14539 15008 16616 17152 17584 19468 19964 20096 20608 21038 21574 22816 24656 25277 27776 28888 29078 30016 33232 34069 35168 38936 39928 40192 41216 42076 43148 45632 47771 49312 50554 55552 57776 58156 60032 66464 68138 70336 73633 77872 79856 84152 86296 91264 95542 98624 101108 111941 115552 116312 120064 132928 136276 140672 147266 155744 159712 168304 172592 182528 191084 197248 202216 223882 231104 232624 241937 265856 272552 281344 294532 311488 319424 326089 334397 336608 345184 382168 394496 404432 447764 462208 465248 483874 531712 545104 589064 622976 638848 652178 668794 673216 690368 764336 783587 808864 895528 924416 930496 967748 1090208 1178128 1245952 1277696 1304356 1337588 1346432 1380736 1528672 1567174 1617728 1693559 1791056 1860992 1935496 2180416 2282623 2356256 2608712 2675176 2692864 2761472 3057344 3134348 3235456 3387118 3582112 3721984 3870992 4360832 4565246 4712512 5217424 5350352 6114688 6268696 6470912 6774236 7164224 7500047 7741984 8721664 9130492 9425024 10434848 10700704 12229376 12537392 13548472 14328448 15000094 15483968 18260984 18850048 20869696 21401408 25074784 27096944 28656896 30000188 30967936 36521968 41739392 42802816 50149568 52500329 54193888 60000376 61935872 73043936 83478784 85605632 100299136 105000658 108387776 120000752 146087872 200598272 210001316 216775552 240001504 292175744 420002632 433551104 480003008 584351488 840005264 960006016 1680010528 1920012032 3360021056 6720042112 13440084224
- Sum of all divisors σ(n): 33731690496
- Sum of proper divisors (its aliquot sum) s(n): 20291606272
- 13440084224 is an abundant number, because the sum of its proper divisors (20291606272) is greater than itself. Its abundance is 6851522048
Bases of 13440084224
- Binary: 11001000010001011101101001000000002
- Hexadecimal: 0x321176900
- Base-36: 669VNCW
Squares and roots of 13440084224
- 13440084224 squared (134400842242) is 180635863948213682176
- 13440084224 cubed (134400842243) is 2427761225338997062794607591424
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The
square root of 13440084224 is 115931.3772194569 -
The
cube root of 13440084224 is 2377.5737475719
Scales and comparisons
How big is 13440084224?- 13,440,084,224 seconds is equal to 427 years, 18 weeks, 2 days, 12 hours, 43 minutes, 44 seconds.
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To count from 1 to 13,440,084,224 would take you about eight hundred fifty-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 13440084224 cubic inches would be around 198.1 feet tall.
Recreational maths with 13440084224
- 13440084224 backwards is 42248004431
- 13440084224 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13440084224's digits is 32
- More coming soon!
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