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114411421341 = 32731510711471
BaseRepresentation
bin110101010001101110…
…0111011111010011101
3101221022112021101210200
41222203130323322131
53333303310440331
6124320533454113
711160136015110
oct1524334737235
9357275241720
10114411421341
11445812a0278
121a2101a1339
13aa3442b6a9
145775032577
152e9953a5e6
hex1aa373be9d

114411421341 has 48 divisors (see below), whose sum is σ = 195017392128. Its totient is φ = 63251085600.

The previous prime is 114411421301. The next prime is 114411421363. The reversal of 114411421341 is 143124114411.

114411421341 is a `hidden beast` number, since 1 + 1 + 441 + 1 + 4 + 213 + 4 + 1 = 666.

It is not a de Polignac number, because 114411421341 - 27 = 114411421213 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114411421301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9968236 + ... + 9979706.

It is an arithmetic number, because the mean of its divisors is an integer number (4062862336).

Almost surely, 2114411421341 is an apocalyptic number.

It is an amenable number.

114411421341 is a deficient number, since it is larger than the sum of its proper divisors (80605970787).

114411421341 is a wasteful number, since it uses less digits than its factorization.

114411421341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16622 (or 16619 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 114411421341 its reverse (143124114411), we get a palindrome (257535535752).

The spelling of 114411421341 in words is "one hundred fourteen billion, four hundred eleven million, four hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 5107 11471 15321 34413 35749 45963 80297 103239 107247 158317 240891 321741 355601 474951 722673 1066803 1108219 1424853 2489207 3200409 3324657 7467621 9973971 22402863 58582397 175747191 410076779 527241573 1230230337 1816054307 3690691011 5448162921 12712380149 16344488763 38137140447 114411421341