Search a number
-
+
43442648041 = 132160332
BaseRepresentation
bin101000011101011000…
…100011001111101001
311011010121000011210111
4220131120203033221
51202432304214131
631542434414321
73065356262362
oct503530431751
9134117004714
1043442648041
1117473273511
128504a313a1
13413438b300
1421618bab69
1511e3d65ab1
hexa1d6233e9

43442648041 has 9 divisors (see below), whose sum is σ = 47044381509. Its totient is φ = 40098404736.

The previous prime is 43442648027. The next prime is 43442648083. The reversal of 43442648041 is 14084624434.

The square root of 43442648041 is 208429.

It is a perfect power (a square), and thus also a powerful number.

43442648041 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 35201639641 + 8241008400 = 187621^2 + 90780^2 .

It is not a de Polignac number, because 43442648041 - 217 = 43442516969 is a prime.

It is a super-2 number, since 2×434426480412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 43442647985 and 43442648003.

It is not an unprimeable number, because it can be changed into a prime (43442648441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2701561 + ... + 2717593.

It is an arithmetic number, because the mean of its divisors is an integer number (5227153501).

Almost surely, 243442648041 is an apocalyptic number.

43442648041 is the 208429-th square number.

43442648041 is the 104215-th centered octagonal number.

It is an amenable number.

43442648041 is a deficient number, since it is larger than the sum of its proper divisors (3601733468).

43442648041 is an frugal number, since it uses more digits than its factorization.

43442648041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32092 (or 16046 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 43442648041 in words is "forty-three billion, four hundred forty-two million, six hundred forty-eight thousand, forty-one".

Divisors: 1 13 169 16033 208429 2709577 257057089 3341742157 43442648041