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8240417141 = 11268102621
BaseRepresentation
bin1111010110010101…
…01100100101110101
3210021021210120012212
413223022230211311
5113334021322031
63441404423205
7411130250525
oct75312544565
923237716185
108240417141
113549556400
12171b847b05
13a142aba98
145825ab685
1533368a12b
hex1eb2ac975

8240417141 has 6 divisors (see below), whose sum is σ = 9057648726. Its totient is φ = 7491288200.

The previous prime is 8240417131. The next prime is 8240417147. The reversal of 8240417141 is 1417140428.

It can be written as a sum of positive squares in only one way, i.e., 8108282116 + 132135025 = 90046^2 + 11495^2 .

It is not a de Polignac number, because 8240417141 - 210 = 8240416117 is a prime.

It is a super-2 number, since 2×82404171412 (a number of 21 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 = 8240417098 and 8240417107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8240417147) 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 5 ways as a sum of consecutive naturals, for example, 34051190 + ... + 34051431.

It is an arithmetic number, because the mean of its divisors is an integer number (1509608121).

Almost surely, 28240417141 is an apocalyptic number.

It is an amenable number.

8240417141 is a deficient number, since it is larger than the sum of its proper divisors (817231585).

8240417141 is a wasteful number, since it uses less digits than its factorization.

8240417141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68102643 (or 68102632 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 8240417141 is about 90776.7433927876. The cubic root of 8240417141 is about 2019.8373509696.

Adding to 8240417141 its reverse (1417140428), we get a palindrome (9657557569).

The spelling of 8240417141 in words is "eight billion, two hundred forty million, four hundred seventeen thousand, one hundred forty-one".

Divisors: 1 11 121 68102621 749128831 8240417141