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4142144232 = 2332143939979
BaseRepresentation
bin1111011011100100…
…0001101011101000
3101200200011201200100
43312321001223220
531440342103412
61523004305400
7204434434152
oct36671015350
911620151610
104142144232
1118361502a6
12977242260
135101cca25
142b4195ad2
151939a1edc
hexf6e41ae8

4142144232 has 48 divisors (see below), whose sum is σ = 11226384000. Its totient is φ = 1379720736.

The previous prime is 4142144213. The next prime is 4142144233. The reversal of 4142144232 is 2324412414.

4142144232 is a `hidden beast` number, since 4 + 1 + 421 + 4 + 4 + 232 = 666.

It is a super-3 number, since 3×41421442323 (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4142144196 and 4142144205.

It is not an unprimeable number, because it can be changed into a prime (4142144233) 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, 83619 + ... + 123597.

It is an arithmetic number, because the mean of its divisors is an integer number (233883000).

Almost surely, 24142144232 is an apocalyptic number.

It is an amenable number.

4142144232 is an abundant number, since it is smaller than the sum of its proper divisors (7084239768).

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

4142144232 is a wasteful number, since it uses less digits than its factorization.

4142144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41430 (or 41423 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4142144232 is about 64359.4921670456. The cubic root of 4142144232 is about 1605.9859409334.

Adding to 4142144232 its reverse (2324412414), we get a palindrome (6466556646).

The spelling of 4142144232 in words is "four billion, one hundred forty-two million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1439 2878 4317 5756 8634 11512 12951 17268 25902 34536 39979 51804 79958 103608 119937 159916 239874 319832 359811 479748 719622 959496 1439244 2878488 57529781 115059562 172589343 230119124 345178686 460238248 517768029 690357372 1035536058 1380714744 2071072116 4142144232