Search a number
-
+
242004141 = 3261440809
BaseRepresentation
bin11100110110010…
…11000010101101
3121212101002021100
432123023002231
5443423113031
640002553313
75666000301
oct1633130255
9555332240
10242004141
11114672325
1269068839
133b1a3122
14241d7d01
15163a4de6
hexe6cb0ad

242004141 has 12 divisors (see below), whose sum is σ = 355292860. Its totient is φ = 158690880.

The previous prime is 242004131. The next prime is 242004151. The reversal of 242004141 is 141400242.

It is an interprime number because it is at equal distance from previous prime (242004131) and next prime (242004151).

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 142922025 = 9954^2 + 11955^2 .

It is not a de Polignac number, because 242004141 - 217 = 241873069 is a prime.

It is a super-2 number, since 2×2420041412 = 117132008522295762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242004131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219856 + ... + 220953.

Almost surely, 2242004141 is an apocalyptic number.

It is an amenable number.

242004141 is a deficient number, since it is larger than the sum of its proper divisors (113288719).

242004141 is a wasteful number, since it uses less digits than its factorization.

242004141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440876 (or 440873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242004141 is about 15556.4822823156. The cubic root of 242004141 is about 623.1715228775.

Adding to 242004141 its reverse (141400242), we get a palindrome (383404383).

The spelling of 242004141 in words is "two hundred forty-two million, four thousand, one hundred forty-one".

Divisors: 1 3 9 61 183 549 440809 1322427 3967281 26889349 80668047 242004141