Search a number
-
+
4434144440001 = 310726021530861
BaseRepresentation
bin100000010000110011110…
…0110101010111011000001
3120200220022011001100011220
41000201213212222323001
51040122111434040001
613233003504025253
7635233142601333
oct100414746527301
916626264040156
104434144440001
11145a567a36121
125b744a002229
132621a4323813
1411488413d453
157a520284c36
hex408679aaec1

4434144440001 has 16 divisors (see below), whose sum is σ = 5967687296448. Its totient is φ = 2928351166400.

The previous prime is 4434144439951. The next prime is 4434144440057. The reversal of 4434144440001 is 1000444414344.

It is a cyclic number.

It is not a de Polignac number, because 4434144440001 - 26 = 4434144439937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4434144440071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8087311 + ... + 8618171.

It is an arithmetic number, because the mean of its divisors is an integer number (372980456028).

Almost surely, 24434144440001 is an apocalyptic number.

It is an amenable number.

4434144440001 is a deficient number, since it is larger than the sum of its proper divisors (1533542856447).

4434144440001 is a wasteful number, since it uses less digits than its factorization.

4434144440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556992.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4434144440001 its reverse (1000444414344), we get a palindrome (5434588854345).

The spelling of 4434144440001 in words is "four trillion, four hundred thirty-four billion, one hundred forty-four million, four hundred forty thousand, one".

Divisors: 1 3 107 321 26021 78063 530861 1592583 2784247 8352741 56802127 170406381 13813534081 41440602243 1478048146667 4434144440001