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4142422431 = 33737592367
BaseRepresentation
bin1111011011101000…
…0101100110011111
3101200200200212022000
43312322011212133
531440430004211
61523014253343
7204440003220
oct36672054637
911620625260
104142422431
111836320314
12977357253
13510299544
142b4229247
15193a09656
hexf6e8599f

4142422431 has 32 divisors (see below), whose sum is σ = 7203194880. Its totient is φ = 2303119008.

The previous prime is 4142422397. The next prime is 4142422447. The reversal of 4142422431 is 1342242414.

4142422431 is a `hidden beast` number, since 414 + 2 + 4 + 2 + 243 + 1 = 666.

It is not a de Polignac number, because 4142422431 - 217 = 4142291359 is a prime.

It is a super-2 number, since 2×41424224312 = 34319327193703899522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4142422395 and 4142422404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142422481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289191 + ... + 303176.

It is an arithmetic number, because the mean of its divisors is an integer number (225099840).

Almost surely, 24142422431 is an apocalyptic number.

4142422431 is a deficient number, since it is larger than the sum of its proper divisors (3060772449).

4142422431 is a wasteful number, since it uses less digits than its factorization.

4142422431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592420 (or 592414 counting only the distinct ones).

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

The square root of 4142422431 is about 64361.6534203403. The cubic root of 4142422431 is about 1606.0218944280.

Adding to 4142422431 its reverse (1342242414), we get a palindrome (5484664845).

The spelling of 4142422431 in words is "four billion, one hundred forty-two million, four hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 592367 1777101 4146569 5331303 12439707 15993909 21917579 37319121 65752737 111957363 153423053 197258211 460269159 591774633 1380807477 4142422431