Search a number
-
+
4142431311 = 329376719207
BaseRepresentation
bin1111011011101000…
…0111110001001111
3101200200201022110220
43312322013301033
531440430300221
61523014402423
7204440041134
oct36672076117
911620638426
104142431311
111836326a57
12977360413
135102a05b5
142b422c58b
15193a0c0c6
hexf6e87c4f

4142431311 has 32 divisors (see below), whose sum is σ = 5956016640. Its totient is φ = 2555473536.

The previous prime is 4142431301. The next prime is 4142431331. The reversal of 4142431311 is 1131342414.

It is not a de Polignac number, because 4142431311 - 26 = 4142431247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142431301) 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, 206070 + ... + 225276.

It is an arithmetic number, because the mean of its divisors is an integer number (186125520).

Almost surely, 24142431311 is an apocalyptic number.

4142431311 is a deficient number, since it is larger than the sum of its proper divisors (1813585329).

4142431311 is a wasteful number, since it uses less digits than its factorization.

4142431311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19343.

The product of its digits is 1152, while the sum is 24.

The square root of 4142431311 is about 64361.7224054795. The cubic root of 4142431311 is about 1606.0230420225.

Adding to 4142431311 its reverse (1131342414), we get a palindrome (5273773725).

The spelling of 4142431311 in words is "four billion, one hundred forty-two million, four hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 29 37 67 87 111 201 1073 1943 2479 3219 5829 7437 19207 57621 71891 215673 557003 710659 1286869 1671009 2131977 3860607 20609111 37319201 47614153 61827333 111957603 142842459 1380810437 4142431311