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34120414211269 is a prime number
BaseRepresentation
bin1111100001000010001110…
…01010110010110011000101
311110210212202022222011221211
413300201013022302303011
513433012102014230034
6200322411335411421
710121055446325631
oct760410712626305
9143725668864854
1034120414211269
11a965428339901
1239b0921823b71
13160670619ac69
1485d618a55dc1
153e283c2a8d64
hex1f08472b2cc5

34120414211269 has 2 divisors, whose sum is σ = 34120414211270. Its totient is φ = 34120414211268.

The previous prime is 34120414211237. The next prime is 34120414211363. The reversal of 34120414211269 is 96211241402143.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17130865713025 + 16989548498244 = 4138945^2 + 4121838^2 .

It is a cyclic number.

It is not a de Polignac number, because 34120414211269 - 25 = 34120414211237 is a prime.

It is a super-2 number, since 2×341204142112692 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34120414211209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17060207105634 + 17060207105635.

It is an arithmetic number, because the mean of its divisors is an integer number (17060207105635).

Almost surely, 234120414211269 is an apocalyptic number.

It is an amenable number.

34120414211269 is a deficient number, since it is larger than the sum of its proper divisors (1).

34120414211269 is an equidigital number, since it uses as much as digits as its factorization.

34120414211269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 34120414211269 in words is "thirty-four trillion, one hundred twenty billion, four hundred fourteen million, two hundred eleven thousand, two hundred sixty-nine".