Search a number
-
+
144441767144441 = 1322337160217943
BaseRepresentation
bin100000110101111001111000…
…001110001010101111111001
3200221102111110002202101110202
4200311321320032022233321
5122413013214342110231
61231111344244051545
742265400433050504
oct4065717016125771
9627374402671422
10144441767144441
1142029455a66aa8
1214249947693bb5
136279a53055100
14279503996013b
1511a73dda905cb
hex835e7838abf9

144441767144441 has 12 divisors (see below), whose sum is σ = 163207677210048. Its totient is φ = 127533867976944.

The previous prime is 144441767144371. The next prime is 144441767144461.

144441767144441 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-144441767144441 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144441767144461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18580105085 + ... + 18580112858.

It is an arithmetic number, because the mean of its divisors is an integer number (13600639767504).

Almost surely, 2144441767144441 is an apocalyptic number.

It is an amenable number.

144441767144441 is a deficient number, since it is larger than the sum of its proper divisors (18765910065607).

144441767144441 is a wasteful number, since it uses less digits than its factorization.

144441767144441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37160217992 (or 37160217979 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 56.

The spelling of 144441767144441 in words is "one hundred forty-four trillion, four hundred forty-one billion, seven hundred sixty-seven million, one hundred forty-four thousand, four hundred forty-one".

Divisors: 1 13 23 169 299 3887 37160217943 483082833259 854685012689 6280076832367 11110905164957 144441767144441