Search a number
-
+
141133222331141 = 1720477405428249
BaseRepresentation
bin100000000101110000100011…
…100101010100001100000101
3200111201012111220222121000212
4200011300203211110030011
5121444311314404044031
61220055412434245205
741504352550130645
oct4005604345241405
9614635456877025
10141133222331141
1140a73299741357
12139b4692726805
136099a6233aa81
1426bcc54b5c525
15114b2eb92612b
hex805c23954305

141133222331141 has 8 divisors (see below), whose sum is σ = 149442474663000. Its totient is φ = 132824780896768.

The previous prime is 141133222331131. The next prime is 141133222331147.

It is a happy number.

141133222331141 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 75566145308641 + 65567077022500 = 8692879^2 + 8097350^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 141133222331141 - 234 = 141116042461957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141133222331098 and 141133222331107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141133222331147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202366016 + ... + 203062233.

It is an arithmetic number, because the mean of its divisors is an integer number (18680309332875).

Almost surely, 2141133222331141 is an apocalyptic number.

It is an amenable number.

141133222331141 is a deficient number, since it is larger than the sum of its proper divisors (8309252331859).

141133222331141 is a wasteful number, since it uses less digits than its factorization.

141133222331141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405448743.

The product of its digits is 10368, while the sum is 32.

The spelling of 141133222331141 in words is "one hundred forty-one trillion, one hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 17 20477 348109 405428249 6892280233 8301954254773 141133222331141