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5103313440 = 253510631903
BaseRepresentation
bin1001100000010111…
…00110001000100000
3111011122210011221220
410300023212020200
540422422012230
62202221415040
7240315306561
oct46013461040
914148704856
105103313440
112189761a15
12ba510a480
136343925c4
14365ab6168
151ed062d10
hex1302e6220

5103313440 has 48 divisors (see below), whose sum is σ = 16075438848. Its totient is φ = 1360883456.

The previous prime is 5103313399. The next prime is 5103313441. The reversal of 5103313440 is 443133015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5103313440.

It is not an unprimeable number, because it can be changed into a prime (5103313441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5315472 + ... + 5316431.

It is an arithmetic number, because the mean of its divisors is an integer number (334904976).

Almost surely, 25103313440 is an apocalyptic number.

It is an amenable number.

5103313440 is an abundant number, since it is smaller than the sum of its proper divisors (10972125408).

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

5103313440 is a wasteful number, since it uses less digits than its factorization.

5103313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631921 (or 10631913 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5103313440 is about 71437.4792388421. The cubic root of 5103313440 is about 1721.6733129886.

Adding to 5103313440 its reverse (443133015), we get a palindrome (5546446455).

The spelling of 5103313440 in words is "five billion, one hundred three million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 10631903 21263806 31895709 42527612 53159515 63791418 85055224 106319030 127582836 159478545 170110448 212638060 255165672 318957090 340220896 425276120 510331344 637914180 850552240 1020662688 1275828360 1701104480 2551656720 5103313440