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5040311440 = 24563003893
BaseRepresentation
bin1001011000110110…
…10000110010010000
3111000021020100110111
410230123100302100
540310304431230
62152051211104
7235621640353
oct45433206220
914007210414
105040311440
11215714064a
12b87ba6a94
13624304108
1435b59629a
151e776a92a
hex12c6d0c90

5040311440 has 20 divisors (see below), whose sum is σ = 11718724284. Its totient is φ = 2016124544.

The previous prime is 5040311417. The next prime is 5040311449. The reversal of 5040311440 is 441130405.

It can be written as a sum of positive squares in 2 ways, for example, as 3517438864 + 1522872576 = 59308^2 + 39024^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (5040311449) 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 3 ways as a sum of consecutive naturals, for example, 31501867 + ... + 31502026.

Almost surely, 25040311440 is an apocalyptic number.

It is an amenable number.

5040311440 is an abundant number, since it is smaller than the sum of its proper divisors (6678412844).

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

5040311440 is a wasteful number, since it uses less digits than its factorization.

5040311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63003906 (or 63003900 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5040311440 is about 70995.1508203201. The cubic root of 5040311440 is about 1714.5590912965.

Adding to 5040311440 its reverse (441130405), we get a palindrome (5481441845).

The spelling of 5040311440 in words is "five billion, forty million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 63003893 126007786 252015572 315019465 504031144 630038930 1008062288 1260077860 2520155720 5040311440