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242430440331 = 33743110346049
BaseRepresentation
bin1110000111000111111…
…0101111001110001011
3212011202101122101100110
43201301332233032023
512432444143042311
6303212045405403
723341436512452
oct3416176571613
9764671571313
10242430440331
11938a5733012
123ab99569863
1319b26a878c1
14ba3b393b99
15648d4e68a6
hex3871faf38b

242430440331 has 32 divisors (see below), whose sum is σ = 340012569600. Its totient is φ = 153452565504.

The previous prime is 242430440309. The next prime is 242430440387. The reversal of 242430440331 is 133044034242.

It is a happy number.

It is not a de Polignac number, because 242430440331 - 226 = 242363331467 is a prime.

It is a super-2 number, since 2×2424304403312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242430447331) 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, 5241595 + ... + 5287643.

It is an arithmetic number, because the mean of its divisors is an integer number (10625392800).

Almost surely, 2242430440331 is an apocalyptic number.

242430440331 is a deficient number, since it is larger than the sum of its proper divisors (97582129269).

242430440331 is a wasteful number, since it uses less digits than its factorization.

242430440331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47235.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 242430440331 its reverse (133044034242), we get a palindrome (375474474573).

The spelling of 242430440331 in words is "two hundred forty-two billion, four hundred thirty million, four hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 37 43 111 129 1103 1591 3309 4773 40811 46049 47429 122433 138147 142287 1703813 1754873 1980107 5111439 5264619 5940321 50792047 73263959 152376141 219791877 1879305739 2184058021 5637917217 6552174063 80810146777 242430440331