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424112141 = 17181337409
BaseRepresentation
bin11001010001110…
…111000000001101
31002120001010111002
4121101313000031
51332033042031
6110030110045
713336615355
oct3121670015
91076033432
10424112141
111a8444802
12ba04b325
1369b3463b
144047db65
1527377ccb
hex1947700d

424112141 has 16 divisors (see below), whose sum is σ = 453988080. Its totient is φ = 394813440.

The previous prime is 424112131. The next prime is 424112177. The reversal of 424112141 is 141211424.

It can be written as a sum of positive squares in 8 ways, for example, as 1974025 + 422138116 = 1405^2 + 20546^2 .

It is not a de Polignac number, because 424112141 - 214 = 424095757 is a prime.

It is a super-2 number, since 2×4241121412 = 359742216287207762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424112131) 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 15 ways as a sum of consecutive naturals, for example, 1036745 + ... + 1037153.

It is an arithmetic number, because the mean of its divisors is an integer number (28374255).

Almost surely, 2424112141 is an apocalyptic number.

It is an amenable number.

424112141 is a deficient number, since it is larger than the sum of its proper divisors (29875939).

424112141 is a wasteful number, since it uses less digits than its factorization.

424112141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944.

The product of its digits is 256, while the sum is 20.

The square root of 424112141 is about 20593.9831261463. The cubic root of 424112141 is about 751.3233767105.

Adding to 424112141 its reverse (141211424), we get a palindrome (565323565).

The spelling of 424112141 in words is "four hundred twenty-four million, one hundred twelve thousand, one hundred forty-one".

Divisors: 1 17 181 337 409 3077 5729 6953 60997 74029 137833 1036949 1258493 2343161 24947773 424112141