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312841672417 is a prime number
BaseRepresentation
bin1001000110101101101…
…00010001011011100001
31002220111110210120121001
410203112310101123201
520111144432004132
6355414550432001
731413336224461
oct4432664213341
91086443716531
10312841672417
11110747a7190a
125076a062601
1323668477141
14111da855ba1
15820ec88ce7
hex48d6d116e1

312841672417 has 2 divisors, whose sum is σ = 312841672418. Its totient is φ = 312841672416.

The previous prime is 312841672399. The next prime is 312841672421. The reversal of 312841672417 is 714276148213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269858431441 + 42983240976 = 519479^2 + 207324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312841672417 is a prime.

It is not a weakly prime, because it can be changed into another prime (312841675417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156420836208 + 156420836209.

It is an arithmetic number, because the mean of its divisors is an integer number (156420836209).

Almost surely, 2312841672417 is an apocalyptic number.

It is an amenable number.

312841672417 is a deficient number, since it is larger than the sum of its proper divisors (1).

312841672417 is an equidigital number, since it uses as much as digits as its factorization.

312841672417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 451584, while the sum is 46.

The spelling of 312841672417 in words is "three hundred twelve billion, eight hundred forty-one million, six hundred seventy-two thousand, four hundred seventeen".