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14341331104 = 2517314319777
BaseRepresentation
bin11010101101100111…
…10101100010100000
31101000110202002211021
431112303311202200
5213332340043404
610331024255224
71015251205642
oct152663654240
941013662737
1014341331104
11609a342361
122942a71514
13147724b349
149a0968892
1558e0a8454
hex356cf58a0

14341331104 has 96 divisors (see below), whose sum is σ = 31578978816. Its totient is φ = 6378946560.

The previous prime is 14341331101. The next prime is 14341331117. The reversal of 14341331104 is 40113314341.

It is a happy number.

14341331104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14341331101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 715264 + ... + 735040.

It is an arithmetic number, because the mean of its divisors is an integer number (328947696).

Almost surely, 214341331104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14341331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789489408).

14341331104 is an abundant number, since it is smaller than the sum of its proper divisors (17237647712).

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

14341331104 is a wasteful number, since it uses less digits than its factorization.

14341331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19878 (or 19870 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 14341331104 its reverse (40113314341), we get a palindrome (54454645445).

The spelling of 14341331104 in words is "fourteen billion, three hundred forty-one million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 43 62 68 86 124 136 172 248 272 344 496 527 544 688 731 992 1054 1333 1376 1462 2108 2666 2924 4216 5332 5848 8432 10664 11696 16864 19777 21328 22661 23392 39554 42656 45322 79108 90644 158216 181288 316432 336209 362576 613087 632864 672418 725152 850411 1226174 1344836 1700822 2452348 2689672 3401644 4904696 5379344 6803288 9809392 10422479 10758688 13606576 14456987 19618784 20844958 26362741 27213152 28913974 41689916 52725482 57827948 83379832 105450964 115655896 166759664 210901928 231311792 333519328 421803856 448166597 462623584 843607712 896333194 1792666388 3585332776 7170665552 14341331104