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2119320144 = 243214717501
BaseRepresentation
bin111111001010010…
…0100001001010000
312110200212121200200
41332110210021100
513320021221034
6550144215200
7103342631634
oct17624441120
95420777620
102119320144
11998334657
124b190a500
1327a0c39b6
14161678dc4
15c60d1a99
hex7e524250

2119320144 has 30 divisors (see below), whose sum is σ = 5931153306. Its totient is φ = 706440000.

The previous prime is 2119320143. The next prime is 2119320157. The reversal of 2119320144 is 4410239112.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1972425744 + 146894400 = 44412^2 + 12120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119320143) 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 5 ways as a sum of consecutive naturals, for example, 7358607 + ... + 7358894.

Almost surely, 22119320144 is an apocalyptic number.

2119320144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2119320144 is an abundant number, since it is smaller than the sum of its proper divisors (3811833162).

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

2119320144 is a wasteful number, since it uses less digits than its factorization.

2119320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14717515 (or 14717506 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2119320144 is about 46036.0743765148. The cubic root of 2119320144 is about 1284.4943215622.

Adding to 2119320144 its reverse (4410239112), we get a palindrome (6529559256).

The spelling of 2119320144 in words is "two billion, one hundred nineteen million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14717501 29435002 44152503 58870004 88305006 117740008 132457509 176610012 235480016 264915018 353220024 529830036 706440048 1059660072 2119320144