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114144634062105 = 3567713198521789
BaseRepresentation
bin11001111101000001011110…
…010111011100010100011001
3112222011010020210202002221020
4121331001132113130110121
5104430121202304441410
61042433153155433053
733020451304002303
oct3175013627342431
9488133223662836
10114144634062105
1133408516202399
1210975bb2bb5789
134b8ca3ca4405a
1420288b6114973
15d2e26d15ea70
hex67d05e5dc519

114144634062105 has 32 divisors (see below), whose sum is σ = 183039868281600. Its totient is φ = 60741123286272.

The previous prime is 114144634062103. The next prime is 114144634062113. The reversal of 114144634062105 is 501260436441411.

It is not a de Polignac number, because 114144634062105 - 21 = 114144634062103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114144634062103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9133551 + ... + 17655339.

It is an arithmetic number, because the mean of its divisors is an integer number (5719995883800).

Almost surely, 2114144634062105 is an apocalyptic number.

114144634062105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114144634062105 is a deficient number, since it is larger than the sum of its proper divisors (68895234219495).

114144634062105 is a wasteful number, since it uses less digits than its factorization.

114144634062105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8523793.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 114144634062105 in words is "one hundred fourteen trillion, one hundred forty-four billion, six hundred thirty-four million, sixty-two thousand, one hundred five".

Divisors: 1 3 5 15 677 1319 2031 3385 3957 6595 10155 19785 892963 2678889 4464815 8521789 13394445 25565367 42608945 127826835 5769251153 11240239691 17307753459 28846255765 33720719073 56201198455 86538767295 168603595365 7609642270807 22828926812421 38048211354035 114144634062105