Search a number
-
+
1144401311041 = 31713417269069
BaseRepresentation
bin10000101001110011101…
…000100011010101000001
311001101220021222001221021
4100221303220203111001
5122222213213423131
62233421455425441
7145452221433652
oct20516350432501
94041807861837
101144401311041
1140137978417a
12165961825281
1383bbb95c4a1
143d564411529
151eb7da7ee11
hex10a73a23541

1144401311041 has 8 divisors (see below), whose sum is σ = 1148101240680. Its totient is φ = 1140701947008.

The previous prime is 1144401311029. The next prime is 1144401311063. The reversal of 1144401311041 is 1401131044411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 119528541441 + 1024872769600 = 345729^2 + 1012360^2 .

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 1144401311041 - 29 = 1144401310529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1144401310997 and 1144401311015.

It is not an unprimeable number, because it can be changed into a prime (1144401311941) 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, 4118655 + ... + 4387723.

It is an arithmetic number, because the mean of its divisors is an integer number (143512655085).

Almost surely, 21144401311041 is an apocalyptic number.

It is an amenable number.

1144401311041 is a deficient number, since it is larger than the sum of its proper divisors (3699929639).

1144401311041 is a wasteful number, since it uses less digits than its factorization.

1144401311041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282803.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 1144401311041 its reverse (1401131044411), we get a palindrome (2545532355452).

The spelling of 1144401311041 in words is "one trillion, one hundred forty-four billion, four hundred one million, three hundred eleven thousand, forty-one".

Divisors: 1 317 13417 269069 4253189 85294873 3610098773 1144401311041