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34253200235243 = 1171128934024927
BaseRepresentation
bin1111100100111001100011…
…10101010001101011101011
311111021120111102022002222202
413302130301311101223223
513442201023230011433
6200503411501010415
710133466143032103
oct762346165215353
9144246442262882
1034253200235243
11aa0677860aa90
123a125bb553a0b
1316160a8318492
14865c14148203
153e600e9e5ee8
hex1f2731d51aeb

34253200235243 has 16 divisors (see below), whose sum is σ = 37922823751680. Its totient is φ = 30676873281600.

The previous prime is 34253200235207. The next prime is 34253200235273.

34253200235243 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34253200235243 - 210 = 34253200234219 is a prime.

It is a super-2 number, since 2×342532002352432 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34253200235197 and 34253200235206.

It is not an unprimeable number, because it can be changed into a prime (34253200235273) 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, 16005755 + ... + 18019172.

It is an arithmetic number, because the mean of its divisors is an integer number (2370176484480).

Almost surely, 234253200235243 is an apocalyptic number.

34253200235243 is a deficient number, since it is larger than the sum of its proper divisors (3669623516437).

34253200235243 is a wasteful number, since it uses less digits than its factorization.

34253200235243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34026298.

The product of its (nonzero) digits is 518400, while the sum is 38.

It can be divided in two parts, 34253200 and 235243, that added together give a palindrome (34488443).

The spelling of 34253200235243 in words is "thirty-four trillion, two hundred fifty-three billion, two hundred million, two hundred thirty-five thousand, two hundred forty-three".

Divisors: 1 11 71 781 1289 14179 91519 1006709 34024927 374274197 2415769817 26573467987 43858130903 482439439933 3113927294113 34253200235243