Search a number
-
+
4334142431 = 41671978009
BaseRepresentation
bin1000000100101010…
…11100001111011111
3102012001110020200202
410002111130033133
532334020024211
61554023414115
7212255413523
oct40225341737
912161406622
104334142431
1119245683a3
12a0b5b433b
13540c14b28
142d1893d83
151a577a53b
hex10255c3df

4334142431 has 16 divisors (see below), whose sum is σ = 4529558880. Its totient is φ = 4143659520.

The previous prime is 4334142413. The next prime is 4334142433. The reversal of 4334142431 is 1342414334.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4334142431 - 210 = 4334141407 is a prime.

It is a super-2 number, since 2×43341424312 = 37569581224389179522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4334142394 and 4334142403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334142433) 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 15 ways as a sum of consecutive naturals, for example, 537155 + ... + 545163.

It is an arithmetic number, because the mean of its divisors is an integer number (283097430).

Almost surely, 24334142431 is an apocalyptic number.

4334142431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4334142431 is a deficient number, since it is larger than the sum of its proper divisors (195416449).

4334142431 is a wasteful number, since it uses less digits than its factorization.

4334142431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314.

The product of its digits is 13824, while the sum is 29.

The square root of 4334142431 is about 65834.2041115407. The cubic root of 4334142431 is about 1630.4258777791.

Adding to 4334142431 its reverse (1342414334), we get a palindrome (5676556765).

The spelling of 4334142431 in words is "four billion, three hundred thirty-four million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 41 67 197 2747 8009 8077 13199 328369 536603 541159 1577773 22000723 64688693 105710791 4334142431