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14104304214 = 237111323102103
BaseRepresentation
bin11010010001010111…
…01001101001010110
31100101221201220001120
431020223221221112
5212341200213324
610251320104410
71006342415310
oct151053515126
940357656046
1014104304214
115a8856a570
122897605106
13143a0cb850
1497b2a87b0
15578388179
hex348ae9a56

14104304214 has 128 divisors (see below), whose sum is σ = 39521599488. Its totient is φ = 3234591360.

The previous prime is 14104304209. The next prime is 14104304233. The reversal of 14104304214 is 41240340141.

14104304214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141043042142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87087 + ... + 189189.

It is an arithmetic number, because the mean of its divisors is an integer number (308762496).

Almost surely, 214104304214 is an apocalyptic number.

14104304214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14104304214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760799744).

14104304214 is an abundant number, since it is smaller than the sum of its proper divisors (25417295274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14104304214 is a wasteful number, since it uses less digits than its factorization.

14104304214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102162.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14104304214 its reverse (41240340141), we get a palindrome (55344644355).

The spelling of 14104304214 in words is "fourteen billion, one hundred four million, three hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 23 26 33 39 42 46 66 69 77 78 91 138 143 154 161 182 231 253 273 286 299 322 429 462 483 506 546 598 759 858 897 966 1001 1518 1771 1794 2002 2093 3003 3289 3542 4186 5313 6006 6279 6578 9867 10626 12558 19734 23023 46046 69069 102103 138138 204206 306309 612618 714721 1123133 1327339 1429442 2144163 2246266 2348369 2654678 3369399 3982017 4288326 4696738 6738798 7045107 7861931 7964034 9291373 14090214 14600729 15723862 16438583 18582746 23585793 25832059 27874119 29201458 30528797 32877166 43802187 47171586 49315749 51664118 55748238 61057594 77496177 87604374 91586391 98631498 102205103 154992354 180824413 183172782 204410206 213701579 306615309 335816767 361648826 427403158 542473239 613230618 641104737 671633534 1007450301 1084946478 1282209474 2014900602 2350717369 4701434738 7052152107 14104304214