Search a number
-
+
4142414232 = 2332115230321
BaseRepresentation
bin1111011011101000…
…0011100110011000
3101200200200110001100
43312322003212120
531440424223412
61523014151400
7204436640265
oct36672034630
911620613040
104142414232
111836315140
12977352560
135102958a8
142b422626c
15193a06edc
hexf6e83998

4142414232 has 48 divisors (see below), whose sum is σ = 12238953480. Its totient is φ = 1255276800.

The previous prime is 4142414209. The next prime is 4142414251. The reversal of 4142414232 is 2324142414.

4142414232 is a `hidden beast` number, since 4 + 1 + 424 + 1 + 4 + 232 = 666.

It is a super-2 number, since 2×41424142322 = 34319191338952299648, which contains 22 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 = 4142414196 and 4142414205.

It is a congruent number.

It is an unprimeable number.

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, 2614369 + ... + 2615952.

Almost surely, 24142414232 is an apocalyptic number.

It is an amenable number.

4142414232 is an abundant number, since it is smaller than the sum of its proper divisors (8096539248).

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

4142414232 is a wasteful number, since it uses less digits than its factorization.

4142414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230344 (or 5230337 counting only the distinct ones).

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

The square root of 4142414232 is about 64361.5897255498. The cubic root of 4142414232 is about 1606.0208348401.

Adding to 4142414232 its reverse (2324142414), we get a palindrome (6466556646).

The spelling of 4142414232 in words is "four billion, one hundred forty-two million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 5230321 10460642 15690963 20921284 31381926 41842568 47072889 57533531 62763852 94145778 115067062 125527704 172600593 188291556 230134124 345201186 376583112 460268248 517801779 690402372 1035603558 1380804744 2071207116 4142414232