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34334144143343 = 112893188238847
BaseRepresentation
bin1111100111010000010100…
…11101110001111111101111
311111120022102112112200110222
413303220022131301333233
514000012311400041333
6201004515453521555
710142363045635262
oct763501235617757
9144508375480428
1034334144143343
11aa38035309200
123a2622b4a32bb
131620907b7b2a5
14869ad23cccd9
153e819acb6298
hex1f3a0a771fef

34334144143343 has 12 divisors (see below), whose sum is σ = 38163219010560. Its totient is φ = 30862152029280.

The previous prime is 34334144143303. The next prime is 34334144143363.

34334144143343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34334144143343 - 236 = 34265424666607 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34334144143294 and 34334144143303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34334144143303) 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, 1594108655 + ... + 1594130192.

It is an arithmetic number, because the mean of its divisors is an integer number (3180268250880).

Almost surely, 234334144143343 is an apocalyptic number.

34334144143343 is a deficient number, since it is larger than the sum of its proper divisors (3829074867217).

34334144143343 is a wasteful number, since it uses less digits than its factorization.

34334144143343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188238958 (or 3188238947 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

It can be divided in two parts, 3433414 and 4143343, that added together give a palindrome (7576757).

The spelling of 34334144143343 in words is "thirty-four trillion, three hundred thirty-four billion, one hundred forty-four million, one hundred forty-three thousand, three hundred forty-three".

Divisors: 1 11 89 121 979 10769 3188238847 35070627317 283753257383 385776900487 3121285831213 34334144143343