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40505141 = 2910113829
BaseRepresentation
bin1001101010000…
…0111100110101
32211012212121102
42122200330311
540332131031
64004055445
71001200535
oct232407465
984185542
1040505141
1120956126
1211694585
138512751
1455454c5
1538517cb
hex26a0f35

40505141 has 8 divisors (see below), whose sum is σ = 42319800. Its totient is φ = 38718400.

The previous prime is 40505137. The next prime is 40505147. The reversal of 40505141 is 14150504.

40505141 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 9480241 + 31024900 = 3079^2 + 5570^2 .

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 40505141 - 22 = 40505137 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40505147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3986 + ... + 9843.

It is an arithmetic number, because the mean of its divisors is an integer number (5289975).

Almost surely, 240505141 is an apocalyptic number.

It is an amenable number.

40505141 is a deficient number, since it is larger than the sum of its proper divisors (1814659).

40505141 is a wasteful number, since it uses less digits than its factorization.

40505141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13959.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 40505141 is about 6364.3649329686. The cubic root of 40505141 is about 343.4288029559.

Adding to 40505141 its reverse (14150504), we get a palindrome (54655645).

The spelling of 40505141 in words is "forty million, five hundred five thousand, one hundred forty-one".

Divisors: 1 29 101 2929 13829 401041 1396729 40505141