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8115044040 = 2332522541789
BaseRepresentation
bin1111000111011000…
…11011111011001000
3202221112212221122200
413203230123323020
5113104422402130
63421125320200
7405045510345
oct74354337310
922845787580
108115044040
113494804774
1216a5866060
139c432330c
1456da937cc
15327672760
hex1e3b1bec8

8115044040 has 48 divisors (see below), whose sum is σ = 26373894300. Its totient is φ = 2164011648.

The previous prime is 8115044029. The next prime is 8115044053. The reversal of 8115044040 is 404405118.

It is a happy number.

8115044040 is a `hidden beast` number, since 81 + 1 + 504 + 40 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7528338756 + 586705284 = 86766^2 + 24222^2 .

It is a super-2 number, since 2×81150440402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8115043995 and 8115044013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11270535 + ... + 11271254.

Almost surely, 28115044040 is an apocalyptic number.

It is an amenable number.

8115044040 is an abundant number, since it is smaller than the sum of its proper divisors (18258850260).

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

8115044040 is a wasteful number, since it uses less digits than its factorization.

8115044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22541806 (or 22541799 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8115044040 is about 90083.5392288736. The cubic root of 8115044040 is about 2009.5414116786.

Adding to 8115044040 its reverse (404405118), we get a palindrome (8519449158).

The spelling of 8115044040 in words is "eight billion, one hundred fifteen million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 22541789 45083578 67625367 90167156 112708945 135250734 180334312 202876101 225417890 270501468 338126835 405752202 450835780 541002936 676253670 811504404 901671560 1014380505 1352507340 1623008808 2028761010 2705014680 4057522020 8115044040