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34534251241 = 747391126839
BaseRepresentation
bin100000001010011001…
…101101101011101001
310022010202021201202021
4200022121231223221
51031211232014431
623510444504441
72331535202140
oct401231555351
9108122251667
1034534251241
1113711759106
12683954b121
1333448a18b9
14195870c757
15d71c30b11
hex80a66dae9

34534251241 has 16 divisors (see below), whose sum is σ = 40319262720. Its totient is φ = 28962496080.

The previous prime is 34534251239. The next prime is 34534251247. The reversal of 34534251241 is 14215243543.

It is not a de Polignac number, because 34534251241 - 21 = 34534251239 is a prime.

It is a super-2 number, since 2×345342512412 (a number of 22 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 = 34534251197 and 34534251206.

It is not an unprimeable number, because it can be changed into a prime (34534251247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273300 + ... + 1300138.

It is an arithmetic number, because the mean of its divisors is an integer number (2519953920).

Almost surely, 234534251241 is an apocalyptic number.

It is an amenable number.

34534251241 is a deficient number, since it is larger than the sum of its proper divisors (5785011479).

34534251241 is a wasteful number, since it uses less digits than its factorization.

34534251241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30804.

The product of its digits is 57600, while the sum is 34.

Adding to 34534251241 its reverse (14215243543), we get a palindrome (48749494784).

The spelling of 34534251241 in words is "thirty-four billion, five hundred thirty-four million, two hundred fifty-one thousand, two hundred forty-one".

Divisors: 1 7 47 329 3911 26839 27377 183817 187873 1261433 1286719 8830031 104967329 734771303 4933464463 34534251241