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4140441440 = 25525877759
BaseRepresentation
bin1111011011001010…
…0001111101100000
3101200112222012212222
43312302201331200
531434423111230
61522504010212
7204414112562
oct36662417540
911615865788
104140441440
111835197a33
12976760968
1350ca54965
142b3c71332
151937676e5
hexf6ca1f60

4140441440 has 24 divisors (see below), whose sum is σ = 9781793280. Its totient is φ = 1656176512.

The previous prime is 4140441433. The next prime is 4140441517. The reversal of 4140441440 is 441440414.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12938720 + ... + 12939039.

It is an arithmetic number, because the mean of its divisors is an integer number (407574720).

Almost surely, 24140441440 is an apocalyptic number.

4140441440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140441440 is an abundant number, since it is smaller than the sum of its proper divisors (5641351840).

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

4140441440 is a wasteful number, since it uses less digits than its factorization.

4140441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25877774 (or 25877766 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4140441440 is about 64346.2620514976. The cubic root of 4140441440 is about 1605.7658427849.

Adding to 4140441440 its reverse (441440414), we get a palindrome (4581881854).

The spelling of 4140441440 in words is "four billion, one hundred forty million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25877759 51755518 103511036 129388795 207022072 258777590 414044144 517555180 828088288 1035110360 2070220720 4140441440