Search a number
-
+
10440333041 = 27754496917
BaseRepresentation
bin10011011100100101…
…01101011011110001
3222221121022212111112
421232102231123301
5132340211124131
64443552323105
7516502236515
oct115622553361
928847285445
1010440333041
114478328816
122034543495
13ca4cb1078
14710826145
1541188c02b
hex26e4ad6f1

10440333041 has 8 divisors (see below), whose sum is σ = 10481461800. Its totient is φ = 10399229568.

The previous prime is 10440333019. The next prime is 10440333073. The reversal of 10440333041 is 14033304401.

It can be written as a sum of positive squares in 4 ways, for example, as 37149025 + 10403184016 = 6095^2 + 101996^2 .

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 10440333041 - 26 = 10440332977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10440332998 and 10440333016.

It is not an unprimeable number, because it can be changed into a prime (10440333941) 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, 1505915 + ... + 1512831.

It is an arithmetic number, because the mean of its divisors is an integer number (1310182725).

Almost surely, 210440333041 is an apocalyptic number.

It is an amenable number.

10440333041 is a deficient number, since it is larger than the sum of its proper divisors (41128759).

10440333041 is an equidigital number, since it uses as much as digits as its factorization.

10440333041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12643.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10440333041 its reverse (14033304401), we get a palindrome (24473637442).

The spelling of 10440333041 in words is "ten billion, four hundred forty million, three hundred thirty-three thousand, forty-one".

Divisors: 1 277 5449 6917 1509373 1916009 37690733 10440333041