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242004403334431 = 41101193302803387
BaseRepresentation
bin110111000001101000001010…
…011111101010110100011111
31011201212101122222001111010101
4313001220022133222310133
5223210000004223200211
62214411142121321531
7101655145500533203
oct6701501237526437
91151771588044111
10242004403334431
1170123544705571
12231860a90362a7
13a505bc044a62a
1443a910b6d4b03
151cea1536305c1
hexdc1a0a7ead1f

242004403334431 has 16 divisors (see below), whose sum is σ = 251658684553248. Its totient is φ = 232553000448000.

The previous prime is 242004403334417. The next prime is 242004403334597. The reversal of 242004403334431 is 134433304400242.

It is a cyclic number.

It is not a de Polignac number, because 242004403334431 - 25 = 242004403334399 is a prime.

It is a super-2 number, since 2×2420044033344312 (a number of 30 digits) 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 (242004403332431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150602481 + ... + 152200906.

It is an arithmetic number, because the mean of its divisors is an integer number (15728667784578).

Almost surely, 2242004403334431 is an apocalyptic number.

242004403334431 is a deficient number, since it is larger than the sum of its proper divisors (9654281218817).

242004403334431 is a wasteful number, since it uses less digits than its factorization.

242004403334431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302803722.

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 242004403334431 its reverse (134433304400242), we get a palindrome (376437707734673).

The spelling of 242004403334431 in words is "two hundred forty-two trillion, four billion, four hundred three million, three hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 41 101 193 4141 7913 19493 799213 302803387 12414938867 30583142087 58441053691 1253908825567 2396083201331 5902546422791 242004403334431