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242434134141 = 32926399105557
BaseRepresentation
bin1110000111001000110…
…0110101000001111101
3212011202122121001022020
43201302030311001331
512433001114243031
6303212300510353
723341513065543
oct3416214650175
9764678531266
10242434134141
11938a7826251
123ab9a84b3b9
1319b2777bca4
14ba3ba75d93
15648d9c6096
hex387233507d

242434134141 has 16 divisors (see below), whose sum is σ = 334407744000. Its totient is φ = 156042168128.

The previous prime is 242434134133. The next prime is 242434134143. The reversal of 242434134141 is 141431434242.

It is a happy number.

242434134141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 242434134141 - 23 = 242434134133 is a prime.

It is a super-3 number, since 3×2424341341413 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242434134143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2243935 + ... + 2349491.

It is an arithmetic number, because the mean of its divisors is an integer number (20900484000).

Almost surely, 2242434134141 is an apocalyptic number.

It is an amenable number.

242434134141 is a deficient number, since it is larger than the sum of its proper divisors (91973609859).

242434134141 is a wasteful number, since it uses less digits than its factorization.

242434134141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131988.

The product of its digits is 36864, while the sum is 33.

Adding to 242434134141 its reverse (141431434242), we get a palindrome (383865568383).

The spelling of 242434134141 in words is "two hundred forty-two billion, four hundred thirty-four million, one hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 29 87 26399 79197 105557 316671 765571 2296713 3061153 9183459 2786599243 8359797729 80811378047 242434134141