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4065045444 = 2232112917929
BaseRepresentation
bin1111001001001011…
…1010101111000100
3101111022002201000200
43302102322233010
531311122423234
61511212010500
7202510213305
oct36222725704
911438081020
104065045444
1117a6680899
12955460a30
134ca247045
142a7c467ac
1518bd22d99
hexf24babc4

4065045444 has 18 divisors (see below), whose sum is σ = 10275531630. Its totient is φ = 1355015136.

The previous prime is 4065045419. The next prime is 4065045487. The reversal of 4065045444 is 4445405604.

It can be written as a sum of positive squares in only one way, i.e., 3565522944 + 499522500 = 59712^2 + 22350^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 112917929 = 4065045444 / (4 + 0 + 6 + 5 + 0 + 4 + 5 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 4065045399 and 4065045408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56458929 + ... + 56459000.

Almost surely, 24065045444 is an apocalyptic number.

It is an amenable number.

4065045444 is an abundant number, since it is smaller than the sum of its proper divisors (6210486186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4065045444 is a wasteful number, since it uses less digits than its factorization.

4065045444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112917939 (or 112917934 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4065045444 is about 63757.7088986108. The cubic root of 4065045444 is about 1595.9592627211.

The spelling of 4065045444 in words is "four billion, sixty-five million, forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 112917929 225835858 338753787 451671716 677507574 1016261361 1355015148 2032522722 4065045444