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2405424144 = 24350113003
BaseRepresentation
bin1000111101011111…
…1101110000010000
320012122020012121010
42033113331300100
514411242033034
61034404330520
7113415524244
oct21727756020
96178205533
102405424144
111024887842
125716a3a40
132c44677c6
1418b672424
15e12983e9
hex8f5fdc10

2405424144 has 20 divisors (see below), whose sum is σ = 6214012496. Its totient is φ = 801808032.

The previous prime is 2405424143. The next prime is 2405424193. The reversal of 2405424144 is 4414245042.

It is not an unprimeable number, because it can be changed into a prime (2405424143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25056454 + ... + 25056549.

Almost surely, 22405424144 is an apocalyptic number.

2405424144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2405424144 is an abundant number, since it is smaller than the sum of its proper divisors (3808588352).

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

2405424144 is a wasteful number, since it uses less digits than its factorization.

2405424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50113014 (or 50113008 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 2405424144 is about 49045.1235496456. The cubic root of 2405424144 is about 1339.8737803441.

Adding to 2405424144 its reverse (4414245042), we get a palindrome (6819669186).

The spelling of 2405424144 in words is "two billion, four hundred five million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 50113003 100226006 150339009 200452012 300678018 400904024 601356036 801808048 1202712072 2405424144