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5005144240 = 24587771339
BaseRepresentation
bin1001010100101010…
…00111000010110000
3110220211001200010121
410222111013002300
540222304103430
62144353340024
7235014011155
oct45225070260
913824050117
105005144240
112139300a48
12b78267614
13619c40215
14356a4022c
151e4620a7a
hex12a5470b0

5005144240 has 40 divisors (see below), whose sum is σ = 11650392720. Its totient is φ = 1999746816.

The previous prime is 5005144223. The next prime is 5005144259. The reversal of 5005144240 is 424415005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 34491 + ... + 105829.

It is an arithmetic number, because the mean of its divisors is an integer number (291259818).

Almost surely, 25005144240 is an apocalyptic number.

It is an amenable number.

5005144240 is an abundant number, since it is smaller than the sum of its proper divisors (6645248480).

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

5005144240 is a wasteful number, since it uses less digits than its factorization.

5005144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72229 (or 72223 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5005144240 is about 70747.0440371893. The cubic root of 5005144240 is about 1710.5621807850.

Adding to 5005144240 its reverse (424415005), we get a palindrome (5429559245).

The spelling of 5005144240 in words is "five billion, five million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 877 1754 3508 4385 7016 8770 14032 17540 35080 70160 71339 142678 285356 356695 570712 713390 1141424 1426780 2853560 5707120 62564303 125128606 250257212 312821515 500514424 625643030 1001028848 1251286060 2502572120 5005144240