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4431340242 = 2327612512297
BaseRepresentation
bin1000010000010000…
…01110001011010010
3102102211100102000200
410020020032023102
533033410341432
62011415000030
7214545525210
oct41010161322
912384312020
104431340242
11197441556a
12a38069016
135580b7024
14300755cb0
151ae079a7c
hex10820e2d2

4431340242 has 96 divisors (see below), whose sum is σ = 11202033024. Its totient is φ = 1239840000.

The previous prime is 4431340217. The next prime is 4431340267. The reversal of 4431340242 is 2420431344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4431340217) and next prime (4431340267).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1928038 + ... + 1930334.

It is an arithmetic number, because the mean of its divisors is an integer number (116687844).

Almost surely, 24431340242 is an apocalyptic number.

4431340242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431340242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601016512).

4431340242 is an abundant number, since it is smaller than the sum of its proper divisors (6770692782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4431340242 is a wasteful number, since it uses less digits than its factorization.

4431340242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4431340242 is about 66568.3125969106. The cubic root of 4431340242 is about 1642.5239050474.

Adding to 4431340242 its reverse (2420431344), we get a palindrome (6851771586).

The spelling of 4431340242 in words is "four billion, four hundred thirty-one million, three hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 251 366 427 502 549 753 854 1098 1281 1506 1757 2259 2297 2562 3514 3843 4518 4594 5271 6891 7686 10542 13782 15311 15813 16079 20673 30622 31626 32158 41346 45933 48237 91866 96474 107177 137799 140117 144711 214354 275598 280234 289422 321531 420351 576547 643062 840702 964593 980819 1153094 1261053 1729641 1929186 1961638 2522106 2942457 3459282 4035829 5188923 5884914 8071658 8827371 10377846 12107487 17654742 24214974 35169367 36322461 70338734 72644922 105508101 211016202 246185569 316524303 492371138 633048606 738556707 1477113414 2215670121 4431340242