Search a number
-
+
1444134314441 = 71315869607851
BaseRepresentation
bin10101000000111101000…
…111001110000111001001
312010001120012111021012102
4111000331013032013021
5142130041341030231
63023232014123145
7206222665064510
oct25007507160711
95101505437172
101444134314441
115074aa198a25
121b3a717b04b5
13a6248377330
144dc79cd1677
1527872a9dacb
hex1503d1ce1c9

1444134314441 has 8 divisors (see below), whose sum is σ = 1777396079424. Its totient is φ = 1142611765200.

The previous prime is 1444134314417. The next prime is 1444134314461.

1444134314441 is nontrivially palindromic in base 10.

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 1444134314441 - 210 = 1444134313417 is a prime.

It is a super-2 number, since 2×14441343144412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1444134314395 and 1444134314404.

It is not an unprimeable number, because it can be changed into a prime (1444134314411) 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, 7934803835 + ... + 7934804016.

It is an arithmetic number, because the mean of its divisors is an integer number (222174509928).

Almost surely, 21444134314441 is an apocalyptic number.

It is an amenable number.

1444134314441 is a deficient number, since it is larger than the sum of its proper divisors (333261764983).

1444134314441 is a wasteful number, since it uses less digits than its factorization.

1444134314441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15869607871.

The product of its digits is 147456, while the sum is 38.

The spelling of 1444134314441 in words is "one trillion, four hundred forty-four billion, one hundred thirty-four million, three hundred fourteen thousand, four hundred forty-one".

Divisors: 1 7 13 91 15869607851 111087254957 206304902063 1444134314441