Search a number
-
+
144533224001 = 178995527577
BaseRepresentation
bin1000011010011011011…
…0011111101001000001
3111211001202202112000102
42012212312133221001
54332001001132001
6150221520332145
713304445063545
oct2064666375101
9454052675012
10144533224001
1156329267461
1224017a74055
1310824acc06a
146dd1705a25
153b5dbc3e6b
hex21a6d9fa41

144533224001 has 8 divisors (see below), whose sum is σ = 154754676360. Its totient is φ = 134502827008.

The previous prime is 144533223979. The next prime is 144533224021. The reversal of 144533224001 is 100422335441.

144533224001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57034992400 + 87498231601 = 238820^2 + 295801^2 .

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 144533224001 - 214 = 144533207617 is a prime.

It is a super-3 number, since 3×1445332240013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144533224021) 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, 47762276 + ... + 47765301.

It is an arithmetic number, because the mean of its divisors is an integer number (19344334545).

Almost surely, 2144533224001 is an apocalyptic number.

It is an amenable number.

144533224001 is a deficient number, since it is larger than the sum of its proper divisors (10221452359).

144533224001 is an equidigital number, since it uses as much as digits as its factorization.

144533224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95527683.

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 144533224001 its reverse (100422335441), we get a palindrome (244955559442).

The spelling of 144533224001 in words is "one hundred forty-four billion, five hundred thirty-three million, two hundred twenty-four thousand, one".

Divisors: 1 17 89 1513 95527577 1623968809 8501954353 144533224001