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2142424505 = 51337890821
BaseRepresentation
bin111111110110010…
…1100110110111001
312112022100102220202
41333230230312321
513341430041010
6552331331545
7104043210404
oct17754546671
95468312822
102142424505
119aa385271
124b95b0bb5
13281b23110
14164770d3b
15c81476a5
hex7fb2cdb9

2142424505 has 16 divisors (see below), whose sum is σ = 2843503824. Its totient is φ = 1539336960.

The previous prime is 2142424499. The next prime is 2142424511. The reversal of 2142424505 is 5054242412.

It is an interprime number because it is at equal distance from previous prime (2142424499) and next prime (2142424511).

It can be written as a sum of positive squares in 8 ways, for example, as 70627216 + 2071797289 = 8404^2 + 45517^2 .

It is not a de Polignac number, because 2142424505 - 224 = 2125647289 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443006 + ... + 447815.

It is an arithmetic number, because the mean of its divisors is an integer number (177718989).

Almost surely, 22142424505 is an apocalyptic number.

It is an amenable number.

2142424505 is a deficient number, since it is larger than the sum of its proper divisors (701079319).

2142424505 is a wasteful number, since it uses less digits than its factorization.

2142424505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890876.

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 2142424505 is about 46286.3317297882. The cubic root of 2142424505 is about 1289.1452192393.

Adding to 2142424505 its reverse (5054242412), we get a palindrome (7196666917).

The spelling of 2142424505 in words is "two billion, one hundred forty-two million, four hundred twenty-four thousand, five hundred five".

Divisors: 1 5 13 37 65 185 481 2405 890821 4454105 11580673 32960377 57903365 164801885 428484901 2142424505