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3565140040 = 23572111771137
BaseRepresentation
bin1101010001111111…
…1011100001001000
3100012110102212201201
43110133323201020
524300133440130
61345433153544
7154230122200
oct32437734110
910173385651
103565140040
11156a479530
12835b5b8b4
1344a7c6027
1425b6b7400
1515cec7bca
hexd47fb848

3565140040 has 384 divisors, whose sum is σ = 11009882880. Its totient is φ = 1023590400.

The previous prime is 3565139987. The next prime is 3565140043. The reversal of 3565140040 is 400415653.

It is a super-2 number, since 2×35651400402 = 25420447009622403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3565139990 and 3565140008.

It is not an unprimeable number, because it can be changed into a prime (3565140043) 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 95 ways as a sum of consecutive naturals, for example, 26022852 + ... + 26022988.

It is an arithmetic number, because the mean of its divisors is an integer number (28671570).

Almost surely, 23565140040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3565140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504941440).

3565140040 is an abundant number, since it is smaller than the sum of its proper divisors (7444742840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3565140040 is a wasteful number, since it uses less digits than its factorization.

3565140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 3565140040 is about 59708.7936572160. The cubic root of 3565140040 is about 1527.6558632629.

Adding to 3565140040 its reverse (400415653), we get a palindrome (3965555693).

The spelling of 3565140040 in words is "three billion, five hundred sixty-five million, one hundred forty thousand, forty".