Search a number
-
+
4042144342123 = 476710918165063
BaseRepresentation
bin111010110100100010100…
…100111110000001101011
3112022102110222201002211021
4322310202210332001223
51012211302422421443
612332534021313311
7565015051002166
oct72644244760153
915272428632737
104042144342123
11131929a114688
12553489b65837
132342321c2b94
14dd8d861aadd
157022ad679ed
hex3ad2293e06b

4042144342123 has 32 divisors (see below), whose sum is σ = 4251625297920. Its totient is φ = 3839948830080.

The previous prime is 4042144342069. The next prime is 4042144342129. The reversal of 4042144342123 is 3212434412404.

4042144342123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4042144342123 - 225 = 4042110787691 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4042144342129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62094090 + ... + 62159152.

It is an arithmetic number, because the mean of its divisors is an integer number (132863290560).

Almost surely, 24042144342123 is an apocalyptic number.

4042144342123 is a deficient number, since it is larger than the sum of its proper divisors (209480955797).

4042144342123 is a wasteful number, since it uses less digits than its factorization.

4042144342123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65467.

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 4042144342123 its reverse (3212434412404), we get a palindrome (7254578754527).

The spelling of 4042144342123 in words is "four trillion, forty-two billion, one hundred forty-four million, three hundred forty-two thousand, one hundred twenty-three".

Divisors: 1 47 67 109 181 3149 5123 7303 8507 12127 19729 65063 343241 569969 927263 1321843 3057961 4359221 7091867 11776403 62126621 204883387 333317749 475155089 553490941 789019001 1283627927 22332289183 37083893047 60330512569 86003071109 4042144342123