814029216
814,029,216 is an even composite number composed of seven prime numbers multiplied together.
What does the number 814029216 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
814029216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 814029216:
25 × 3 × 7 × 11 × 13 × 43 × 197
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 43 × 197)See below for interesting mathematical facts about the number 814029216 from the Numbermatics database.
Names of 814029216
- Cardinal: 814029216 can be written as Eight hundred fourteen million, twenty-nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 8.14029216 × 108
Factors of 814029216
Divisors of 814029216
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 43 44 48 52 56 66 77 78 84 86 88 91 96 104 112 129 132 143 154 156 168 172 176 182 197 208 224 231 258 264 273 286 301 308 312 336 344 352 364 394 416 429 462 473 516 528 546 559 572 591 602 616 624 672 688 728 788 858 903 924 946 1001 1032 1056 1092 1118 1144 1182 1204 1232 1248 1376 1379 1419 1456 1576 1677 1716 1806 1848 1892 2002 2064 2167 2184 2236 2288 2364 2408 2464 2561 2758 2838 2912 3003 3152 3311 3354 3432 3612 3696 3784 3913 4004 4128 4137 4334 4368 4472 4576 4728 4816 5122 5516 5676 6006 6149 6304 6501 6622 6708 6864 7224 7392 7568 7683 7826 8008 8274 8471 8668 8736 8944 9456 9632 9933 10244 11032 11352 11739 12012 12298 13002 13244 13416 13728 14448 15136 15169 15366 15652 16016 16548 16942 17336 17888 17927 18447 18912 19866 20488 22064 22704 23478 24024 24596 25413 26004 26488 26832 28171 28896 30338 30732 31304 32032 33096 33884 34672 35854 36894 39732 40976 43043 44128 45408 45507 46956 48048 49192 50826 52008 52976 53664 53781 56342 59297 60676 61464 62608 66192 67768 69344 71708 73788 79464 81952 84513 86086 91014 93181 93912 96096 98384 101652 104016 105952 107562 110123 112684 118594 121352 122928 125216 129129 132384 135536 143416 147576 158928 169026 172172 177891 182028 186362 187824 196768 197197 203304 208032 215124 220246 225368 237188 242704 245856 258258 271072 279543 286832 295152 317856 330369 338052 344344 355782 364056 372724 375648 394394 406608 430248 440492 450736 474376 485408 516516 559086 573664 590304 591591 652267 660738 676104 688688 711564 728112 745448 770861 788788 813216 860496 880984 901472 948752 1033032 1118172 1183182 1211353 1304534 1321476 1352208 1377376 1423128 1456224 1490896 1541722 1577576 1720992 1761968 1897504 1956801 2066064 2236344 2312583 2366364 2422706 2609068 2642952 2704416 2846256 2981792 3083444 3155152 3523936 3634059 3913602 4132128 4472688 4625166 4732728 4845412 5218136 5285904 5692512 6166888 6310304 7268118 7827204 8479471 8945376 9250332 9465456 9690824 10436272 10571808 12333776 14536236 15654408 16958942 18500664 18930912 19381648 20872544 24667552 25438413 29072472 31308816 33917884 37001328 38763296 50876826 58144944 62617632 67835768 74002656 101753652 116289888 135671536 203507304 271343072 407014608 814029216
- Sum of all divisors σ(n): 2950649856
- Sum of proper divisors (its aliquot sum) s(n): 2136620640
- 814029216 is an abundant number, because the sum of its proper divisors (2136620640) is greater than itself. Its abundance is 1322591424
Bases of 814029216
- Binary: 1100001000010100011001101000002
- Hexadecimal: 0x308519A0
- Base-36: DGNGYO
Squares and roots of 814029216
- 814029216 squared (8140292162) is 662643564501574656
- 814029216 cubed (8140292163) is 539411221298662247989149696
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The
square root of 814029216 is 28531.1972409151 -
The
cube root of 814029216 is 933.7128393177
Scales and comparisons
How big is 814029216?- 814,029,216 seconds is equal to 25 years, 45 weeks, 6 days, 15 hours, 13 minutes, 36 seconds.
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To count from 1 to 814,029,216 would take you about thirty-eight 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 814029216 cubic inches would be around 77.8 feet tall.
Recreational maths with 814029216
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