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4142144320 = 26512944201
BaseRepresentation
bin1111011011100100…
…0001101101000000
3101200200011201210121
43312321001231000
531440342104240
61523004310024
7204434434336
oct36671015500
911620151717
104142144320
111836150376
12977242314
135101cca92
142b4195b56
151939a204a
hexf6e41b40

4142144320 has 28 divisors (see below), whose sum is σ = 9863481924. Its totient is φ = 1656857600.

The previous prime is 4142144297. The next prime is 4142144323. The reversal of 4142144320 is 234412414.

It can be written as a sum of positive squares in 2 ways, for example, as 2558741056 + 1583403264 = 50584^2 + 39792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142144323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6471781 + ... + 6472420.

Almost surely, 24142144320 is an apocalyptic number.

4142144320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142144320 is an abundant number, since it is smaller than the sum of its proper divisors (5721337604).

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

4142144320 is a wasteful number, since it uses less digits than its factorization.

4142144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944218 (or 12944208 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4142144320 is about 64359.4928507054. The cubic root of 4142144320 is about 1605.9859523064.

Adding to 4142144320 its reverse (234412414), we get a palindrome (4376556734).

The spelling of 4142144320 in words is "four billion, one hundred forty-two million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 12944201 25888402 51776804 64721005 103553608 129442010 207107216 258884020 414214432 517768040 828428864 1035536080 2071072160 4142144320