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14401410441 = 311240079901
BaseRepresentation
bin11010110100110010…
…00001010110001001
31101011122210110011220
431122121001112021
5213443230113231
610341012112253
71016610653235
oct153231012611
941148713156
1014401410441
116120247900
12295b005689
131486825452
149a89275c5
155944c4896
hex35a641589

14401410441 has 24 divisors (see below), whose sum is σ = 21113598912. Its totient is φ = 8725068000.

The previous prime is 14401410407. The next prime is 14401410467.

14401410441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14401410441 - 26 = 14401410377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14401410941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449591 + ... + 1459491.

It is an arithmetic number, because the mean of its divisors is an integer number (879733288).

Almost surely, 214401410441 is an apocalyptic number.

14401410441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14401410441 is a deficient number, since it is larger than the sum of its proper divisors (6712188471).

14401410441 is a wasteful number, since it uses less digits than its factorization.

14401410441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933 (or 13922 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 14401410441 in words is "fourteen billion, four hundred one million, four hundred ten thousand, four hundred forty-one".

Divisors: 1 3 11 33 121 363 4007 9901 12021 29703 44077 108911 132231 326733 484847 1198021 1454541 3594063 39673307 119019921 436406377 1309219131 4800470147 14401410441