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1044234144 = 25323625813
BaseRepresentation
bin111110001111011…
…011111110100000
32200202220120221200
4332033123332200
54114310443034
6251341321200
734606562262
oct7617337640
92622816850
101044234144
11496496628
12251866200
13138457035
149c983b32
1561a1ca99
hex3e3dbfa0

1044234144 has 36 divisors (see below), whose sum is σ = 2969541666. Its totient is φ = 348077952.

The previous prime is 1044234119. The next prime is 1044234151. The reversal of 1044234144 is 4414324401.

It can be written as a sum of positive squares in only one way, i.e., 605750544 + 438483600 = 24612^2 + 20940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 1812619 + ... + 1813194.

Almost surely, 21044234144 is an apocalyptic number.

It is an amenable number.

1044234144 is an abundant number, since it is smaller than the sum of its proper divisors (1925307522).

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

1044234144 is a wasteful number, since it uses less digits than its factorization.

1044234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625829 (or 3625818 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1044234144 is about 32314.6119271143. The cubic root of 1044234144 is about 1014.5324981090.

Adding to 1044234144 its reverse (4414324401), we get a palindrome (5458558545).

The spelling of 1044234144 in words is "one billion, forty-four million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3625813 7251626 10877439 14503252 21754878 29006504 32632317 43509756 58013008 65264634 87019512 116026016 130529268 174039024 261058536 348078048 522117072 1044234144