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43085720041 = 7213222812
BaseRepresentation
bin101000001000000110…
…111110100111101001
311010012201101100121221
4220020012332213221
51201214421020131
631443204302041
73053463402100
oct501006764751
9133181340557
1043085720041
11172aa8471a1
1284253a1921
1340a844a900
14212a329037
1511c285e411
hexa081be9e9

43085720041 has 27 divisors (see below), whose sum is σ = 54295889733. Its totient is φ = 34074855360.

The previous prime is 43085720033. The next prime is 43085720107. The reversal of 43085720041 is 14002758034.

The square root of 43085720041 is 207571.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3486312025 + 39599408016 = 59045^2 + 198996^2 .

It is not a de Polignac number, because 43085720041 - 23 = 43085720033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 43085719979 and 43085720006.

It is not an unprimeable number, because it can be changed into a prime (43085720011) 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 26 ways as a sum of consecutive naturals, for example, 18887821 + ... + 18890101.

It is an arithmetic number, because the mean of its divisors is an integer number (2010958879).

Almost surely, 243085720041 is an apocalyptic number.

43085720041 is the 207571-st square number.

43085720041 is the 103786-th centered octagonal number.

It is an amenable number.

43085720041 is a deficient number, since it is larger than the sum of its proper divisors (11210169692).

43085720041 is an frugal number, since it uses more digits than its factorization.

43085720041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 43085720041 in words is "forty-three billion, eighty-five million, seven hundred twenty thousand, forty-one".

Divisors: 1 7 13 49 91 169 637 1183 2281 8281 15967 29653 111769 207571 385489 1452997 2698423 5202961 18888961 36420727 67638493 254945089 473469451 879300409 3314286157 6155102863 43085720041