Search a number
-
+
142332142141041 = 31713921211946579
BaseRepresentation
bin100000010111001101001000…
…110001011011111001110001
3200122221211010201010100202120
4200113031020301123321301
5122123432211342003131
61222414252230504453
741660105111305506
oct4027151061337161
9618854121110676
10142332142141041
11413957a4713656
1213b68b0a505129
136155b2bbbc828
142720caba234ad
15116c5bb890496
hex817348c5be71

142332142141041 has 32 divisors (see below), whose sum is σ = 202394857996800. Its totient is φ = 88659675982080.

The previous prime is 142332142140917. The next prime is 142332142141043. The reversal of 142332142141041 is 140141241233241.

It is not a de Polignac number, because 142332142141041 - 237 = 142194703187569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142332142140993 and 142332142141011.

It is not an unprimeable number, because it can be changed into a prime (142332142141043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149891490 + ... + 150838068.

It is an arithmetic number, because the mean of its divisors is an integer number (6324839312400).

Almost surely, 2142332142141041 is an apocalyptic number.

It is an amenable number.

142332142141041 is a deficient number, since it is larger than the sum of its proper divisors (60062715855759).

142332142141041 is a wasteful number, since it uses less digits than its factorization.

142332142141041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967949.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 142332142141041 its reverse (140141241233241), we get a palindrome (282473383374282).

The spelling of 142332142141041 in words is "one hundred forty-two trillion, three hundred thirty-two billion, one hundred forty-two million, one hundred forty-one thousand, forty-one".

Divisors: 1 3 17 51 139 417 2363 7089 21211 63633 360587 946579 1081761 2839737 2948329 8844987 16091843 48275529 50121593 131574481 150364779 394723443 2236766177 6710298531 20077887169 60233661507 341324081873 1023972245619 2790826316491 8372478949473 47444047380347 142332142141041