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311414034425 = 52133725897217
BaseRepresentation
bin1001000100000011011…
…10010000111111111001
31002202210222110001102212
410202001232100333321
520100233443100200
6355021151304505
731333062421544
oct4420156207771
91082728401385
10311414034425
111100851162aa
125042bb1b135
132349b76c830
1411102dcb85b
158179785035
hex4881b90ff9

311414034425 has 24 divisors (see below), whose sum is σ = 427096919256. Its totient is φ = 223751946240.

The previous prime is 311414034419. The next prime is 311414034433. The reversal of 311414034425 is 524430414113.

It can be written as a sum of positive squares in 12 ways, for example, as 8450757184 + 302963277241 = 91928^2 + 550421^2 .

It is not a de Polignac number, because 311414034425 - 24 = 311414034409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311414034391 and 311414034400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12936584 + ... + 12960633.

It is an arithmetic number, because the mean of its divisors is an integer number (17795704969).

Almost surely, 2311414034425 is an apocalyptic number.

It is an amenable number.

311414034425 is a deficient number, since it is larger than the sum of its proper divisors (115682884831).

311414034425 is a wasteful number, since it uses less digits than its factorization.

311414034425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25897277 (or 25897272 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 311414034425 its reverse (524430414113), we get a palindrome (835844448538).

The spelling of 311414034425 in words is "three hundred eleven billion, four hundred fourteen million, thirty-four thousand, four hundred twenty-five".

Divisors: 1 5 13 25 37 65 185 325 481 925 2405 12025 25897217 129486085 336663821 647430425 958197029 1683319105 4790985145 8416595525 12456561377 23954925725 62282806885 311414034425