Search a number
-
+
4432134540141 = 3272116183181997
BaseRepresentation
bin100000001111110111111…
…0011100000101101101101
3120200201010002001211220100
41000133233303200231231
51040104002420241031
613232032224541313
7635132265665100
oct100375763405555
916621102054810
104432134540141
111459726447660
125b6b88a81839
13261c43ac1369
14114733228737
157a453ab8de6
hex407efce0b6d

4432134540141 has 288 divisors, whose sum is σ = 8411478880896. Its totient is φ = 2222785152000.

The previous prime is 4432134540137. The next prime is 4432134540179. The reversal of 4432134540141 is 1410454312344.

It is a happy number.

4432134540141 is a `hidden beast` number, since 4 + 43 + 2 + 1 + 34 + 540 + 1 + 41 = 666.

It is not a de Polignac number, because 4432134540141 - 22 = 4432134540137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4432134540096 and 4432134540105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432134540101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4445470455 + ... + 4445471451.

It is an arithmetic number, because the mean of its divisors is an integer number (29206523892).

Almost surely, 24432134540141 is an apocalyptic number.

It is an amenable number.

4432134540141 is a deficient number, since it is larger than the sum of its proper divisors (3979344340755).

4432134540141 is a wasteful number, since it uses less digits than its factorization.

4432134540141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4432134540141 its reverse (1410454312344), we get a palindrome (5842588852485).

The spelling of 4432134540141 in words is "four trillion, four hundred thirty-two billion, one hundred thirty-four million, five hundred forty thousand, one hundred forty-one".