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424004442201 = 32411149063529
BaseRepresentation
bin1100010101110001010…
…00100101100001011001
31111112102121011101020200
412022320220211201121
523421330114122301
6522441314412413
742430140202344
oct6127050454131
91445377141220
10424004442201
111539014aa08a
126a212291109
1330ca28315b2
141674423745b
15b068eb5c86
hex62b8a25859

424004442201 has 12 divisors (see below), whose sum is σ = 627388687380. Its totient is φ = 275775246720.

The previous prime is 424004442139. The next prime is 424004442221. The reversal of 424004442201 is 102244400424.

It can be written as a sum of positive squares in 2 ways, for example, as 206592066576 + 217412375625 = 454524^2 + 466275^2 .

It is not a de Polignac number, because 424004442201 - 210 = 424004441177 is a prime.

It is a super-2 number, since 2×4240044422012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (424004442221) 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 11 ways as a sum of consecutive naturals, for example, 574531396 + ... + 574532133.

It is an arithmetic number, because the mean of its divisors is an integer number (52282390615).

Almost surely, 2424004442201 is an apocalyptic number.

424004442201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

424004442201 is a deficient number, since it is larger than the sum of its proper divisors (203384245179).

424004442201 is a wasteful number, since it uses less digits than its factorization.

424004442201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149063576 (or 1149063573 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 424004442201 its reverse (102244400424), we get a palindrome (526248842625).

The spelling of 424004442201 in words is "four hundred twenty-four billion, four million, four hundred forty-two thousand, two hundred one".

Divisors: 1 3 9 41 123 369 1149063529 3447190587 10341571761 47111604689 141334814067 424004442201