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42014133013 = 177673322093
BaseRepresentation
bin100111001000001111…
…001100101100010101
311000110001000002120111
4213020033030230111
51142021104224023
631145004403021
73015102144466
oct471017145425
9130401002514
1042014133013
11168aa978a86
128186546471
133c67437748
142067ca4d6d
15115d73c00d
hex9c83ccb15

42014133013 has 8 divisors (see below), whose sum is σ = 44491488408. Its totient is φ = 39537437184.

The previous prime is 42014133001. The next prime is 42014133089. The reversal of 42014133013 is 31033141024.

It can be written as a sum of positive squares in 4 ways, for example, as 7871593284 + 34142539729 = 88722^2 + 184777^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42014133013 - 217 = 42014001941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014133113) 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 7 ways as a sum of consecutive naturals, for example, 30606 + ... + 291487.

It is an arithmetic number, because the mean of its divisors is an integer number (5561436051).

Almost surely, 242014133013 is an apocalyptic number.

It is an amenable number.

42014133013 is a deficient number, since it is larger than the sum of its proper divisors (2477355395).

42014133013 is a wasteful number, since it uses less digits than its factorization.

42014133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329783.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 42014133013 its reverse (31033141024), we get a palindrome (73047274037).

The spelling of 42014133013 in words is "forty-two billion, fourteen million, one hundred thirty-three thousand, thirteen".

Divisors: 1 17 7673 130441 322093 5475581 2471419589 42014133013