Search a number
-
+
42140001141 = 337231196479
BaseRepresentation
bin100111001111101111…
…010110001101110101
311000202210211212012000
4213033233112031311
51142300320014031
631205302245513
73021161046120
oct471757261565
9130683755160
1042140001141
1116964a28627
128200726899
133c87537624
14207a8ab3b7
1511698013e6
hex9cfbd6375

42140001141 has 32 divisors (see below), whose sum is σ = 71379763200. Its totient is φ = 24069331440.

The previous prime is 42140001121. The next prime is 42140001157. The reversal of 42140001141 is 14110004124.

It is not a de Polignac number, because 42140001141 - 25 = 42140001109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42140001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388540 + ... + 485018.

It is an arithmetic number, because the mean of its divisors is an integer number (2230617600).

Almost surely, 242140001141 is an apocalyptic number.

It is an amenable number.

42140001141 is a deficient number, since it is larger than the sum of its proper divisors (29239762059).

42140001141 is a wasteful number, since it uses less digits than its factorization.

42140001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98806 (or 98800 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42140001141 its reverse (14110004124), we get a palindrome (56250005265).

The spelling of 42140001141 in words is "forty-two billion, one hundred forty million, one thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 2311 6933 16177 20799 48531 62397 96479 145593 289437 436779 675353 868311 2026059 2604933 6078177 18234531 222962969 668888907 1560740783 2006666721 4682222349 6020000163 14046667047 42140001141