Search a number
-
+
1002443123441 = 53132114317957
BaseRepresentation
bin11101001011001100100…
…01000010101011110001
310112211110222120221210102
432211212101002223301
5112411000414422231
62044303243042145
7132265321646624
oct16454621025361
93484428527712
101002443123441
11357152011781
12142344210355
13736b74a2906
1436738acddbb
151b120ea9acb
hexe966442af1

1002443123441 has 8 divisors (see below), whose sum is σ = 1022130385704. Its totient is φ = 982784499840.

The previous prime is 1002443123399. The next prime is 1002443123489. The reversal of 1002443123441 is 1443213442001.

It can be written as a sum of positive squares in 4 ways, for example, as 441299804416 + 561143319025 = 664304^2 + 749095^2 .

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 1002443123441 - 26 = 1002443123377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002443123641) 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, 7088966 + ... + 7228991.

It is an arithmetic number, because the mean of its divisors is an integer number (127766298213).

Almost surely, 21002443123441 is an apocalyptic number.

It is an amenable number.

1002443123441 is a deficient number, since it is larger than the sum of its proper divisors (19687262263).

1002443123441 is a wasteful number, since it uses less digits than its factorization.

1002443123441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14319331.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1002443123441 its reverse (1443213442001), we get a palindrome (2445656565442).

The spelling of 1002443123441 in words is "one trillion, two billion, four hundred forty-three million, one hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 53 1321 70013 14317957 758851721 18914021197 1002443123441