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201214131409 = 1726359877517
BaseRepresentation
bin1011101101100101001…
…0111111110011010001
3201020100221212221200101
42323121102333303101
511244041304201114
6232234141052401
720352162616504
oct2733122776321
9636327787611
10201214131409
117837514a095
1232bb6257101
1315c88a20825
149a4b44d13b
155379d51d74
hex2ed94bfcd1

201214131409 has 16 divisors (see below), whose sum is σ = 213924509568. Its totient is φ = 188601332992.

The previous prime is 201214131403. The next prime is 201214131427. The reversal of 201214131409 is 904131412102.

It is a cyclic number.

It is not a de Polignac number, because 201214131409 - 23 = 201214131401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201214131401) 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 15 ways as a sum of consecutive naturals, for example, 26764119 + ... + 26771635.

It is an arithmetic number, because the mean of its divisors is an integer number (13370281848).

Almost surely, 2201214131409 is an apocalyptic number.

It is an amenable number.

201214131409 is a deficient number, since it is larger than the sum of its proper divisors (12710378159).

201214131409 is a wasteful number, since it uses less digits than its factorization.

201214131409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13784.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 201214131409 in words is "two hundred one billion, two hundred fourteen million, one hundred thirty-one thousand, four hundred nine".

Divisors: 1 17 263 4471 5987 7517 101779 127789 1574581 1976971 26767877 33608507 45004279 765072743 11836125377 201214131409