Search a number
-
+
114195102361345 = 5432563920716097
BaseRepresentation
bin11001111101110000011110…
…100000101110011100000001
3112222022221112000202100100101
4121331300132200232130001
5104431433032201030340
61042512301130322401
733024216043321045
oct3175603640563401
9488287460670311
10114195102361345
113342796424a605
1210983938889401
134b94723819a05
14202b102b08025
15d30723ba9c9a
hex67dc1e82e701

114195102361345 has 16 divisors (see below), whose sum is σ = 140226438718080. Its totient is φ = 89228037233664.

The previous prime is 114195102361331. The next prime is 114195102361381. The reversal of 114195102361345 is 543163201591411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114195102361345 - 219 = 114195101837057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114195102361295 and 114195102361304.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4845664 + ... + 15870433.

It is an arithmetic number, because the mean of its divisors is an integer number (8764152419880).

Almost surely, 2114195102361345 is an apocalyptic number.

It is an amenable number.

114195102361345 is a deficient number, since it is larger than the sum of its proper divisors (26031336356735).

114195102361345 is a wasteful number, since it uses less digits than its factorization.

114195102361345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20741784.

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 114195102361345 in words is "one hundred fourteen trillion, one hundred ninety-five billion, one hundred two million, three hundred sixty-one thousand, three hundred forty-five".

Divisors: 1 5 43 215 25639 128195 1102477 5512385 20716097 103580485 890792171 4453960855 531140010983 2655700054915 22839020472269 114195102361345