Search a number
-
+
146811118641 = 3114448821777
BaseRepresentation
bin1000100010111010011…
…1111110010000110001
3112000221112000120000120
42020232213332100301
54401132121244031
6151235531440453
713415054630025
oct2105647762061
9460845016016
10146811118641
115729805a410
12245528b6129
1310ac8a04705
14716a05c385
153c43b7aa96
hex222e9fe431

146811118641 has 8 divisors (see below), whose sum is σ = 213543445344. Its totient is φ = 88976435520.

The previous prime is 146811118637. The next prime is 146811118651.

146811118641 is nontrivially palindromic in base 10.

146811118641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 146811118641 - 22 = 146811118637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146811118593 and 146811118602.

It is not an unprimeable number, because it can be changed into a prime (146811118621) 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 7 ways as a sum of consecutive naturals, for example, 2224410856 + ... + 2224410921.

It is an arithmetic number, because the mean of its divisors is an integer number (26692930668).

Almost surely, 2146811118641 is an apocalyptic number.

146811118641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146811118641 is a deficient number, since it is larger than the sum of its proper divisors (66732326703).

146811118641 is a wasteful number, since it uses less digits than its factorization.

146811118641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448821791.

The product of its digits is 36864, while the sum is 42.

The spelling of 146811118641 in words is "one hundred forty-six billion, eight hundred eleven million, one hundred eighteen thousand, six hundred forty-one".

Divisors: 1 3 11 33 4448821777 13346465331 48937039547 146811118641