Search a number
-
+
3142040013 = 3271917315173
BaseRepresentation
bin1011101101000111…
…1011100111001101
322002222022011121100
42323101323213031
522413330240023
61235440453313
7140601620340
oct27321734715
98088264540
103142040013
111372666192
1273831a239
133b0c57298
1421b41c457
15135c9ec43
hexbb47b9cd

3142040013 has 48 divisors (see below), whose sum is σ = 5491774080. Its totient is φ = 1691010432.

The previous prime is 3142040009. The next prime is 3142040017. The reversal of 3142040013 is 3100402413.

It is an interprime number because it is at equal distance from previous prime (3142040009) and next prime (3142040017).

It is not a de Polignac number, because 3142040013 - 22 = 3142040009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142040017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199495 + ... + 214667.

It is an arithmetic number, because the mean of its divisors is an integer number (114411960).

Almost surely, 23142040013 is an apocalyptic number.

It is an amenable number.

3142040013 is a deficient number, since it is larger than the sum of its proper divisors (2349734067).

3142040013 is a wasteful number, since it uses less digits than its factorization.

3142040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15378 (or 15375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3142040013 is about 56053.9027454824. The cubic root of 3142040013 is about 1464.6614030311.

Adding to 3142040013 its reverse (3100402413), we get a palindrome (6242442426).

The spelling of 3142040013 in words is "three billion, one hundred forty-two million, forty thousand, thirteen".

Divisors: 1 3 7 9 19 21 57 63 133 171 173 399 519 1197 1211 1557 3287 3633 9861 10899 15173 23009 29583 45519 69027 106211 136557 207081 288287 318633 864861 955899 2018009 2594583 2624929 6054027 7874787 18162081 18374503 23624361 49873651 55123509 149620953 165370527 349115557 448862859 1047346671 3142040013