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34342552433441 = 721566144752469
BaseRepresentation
bin1111100111011111111111…
…01000110111001100100001
311111121010010112020002002202
413303233333220313030201
514000132021410332231
6201012430100422545
710143111315135500
oct763577750671441
9144533115202082
1034342552433441
11aa4065a5a3a8a
123a279973a7a55
131621647b76185
1486a28cdb8837
153e84de0615cb
hex1f3bffa37321

34342552433441 has 12 divisors (see below), whose sum is σ = 39952051552980. Its totient is φ = 29434593252960.

The previous prime is 34342552433417. The next prime is 34342552433461. The reversal of 34342552433441 is 14433425524343.

It can be written as a sum of positive squares in 2 ways, for example, as 28192871612416 + 6149680821025 = 5309696^2 + 2479855^2 .

It is not a de Polignac number, because 34342552433441 - 226 = 34342485324577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34342552433401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21608846 + ... + 23143623.

It is an arithmetic number, because the mean of its divisors is an integer number (3329337629415).

Almost surely, 234342552433441 is an apocalyptic number.

It is an amenable number.

34342552433441 is a deficient number, since it is larger than the sum of its proper divisors (5609499119539).

34342552433441 is a wasteful number, since it uses less digits than its factorization.

34342552433441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44768144 (or 44768137 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 47.

Adding to 34342552433441 its reverse (14433425524343), we get a palindrome (48775977957784).

The spelling of 34342552433441 in words is "thirty-four trillion, three hundred forty-two billion, five hundred fifty-two million, four hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 7 49 15661 109627 767389 44752469 313267283 2192870981 700868417009 4906078919063 34342552433441