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314115354295817 is a prime number
BaseRepresentation
bin100011101101011111010111…
…0000111000111111000001001
31112012012010122010022221001012
41013122332232013013320021
5312132431221144431232
63032022333542133305
7123110041206364034
oct10732765607077011
91465163563287035
10314115354295817
11910a5634590988
122b2917b0721235
1310636c48c12b29
14577d39b21401b
15264acdb9429b2
hex11dafae1c7e09

314115354295817 has 2 divisors, whose sum is σ = 314115354295818. Its totient is φ = 314115354295816.

The previous prime is 314115354295793. The next prime is 314115354295837. The reversal of 314115354295817 is 718592453511413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257209392987001 + 56905961308816 = 16037749^2 + 7543604^2 .

It is a cyclic number.

It is not a de Polignac number, because 314115354295817 - 222 = 314115350101513 is a prime.

It is a super-4 number, since 4×3141153542958174 (a number of 59 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (314115354295837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157057677147908 + 157057677147909.

It is an arithmetic number, because the mean of its divisors is an integer number (157057677147909).

Almost surely, 2314115354295817 is an apocalyptic number.

It is an amenable number.

314115354295817 is a deficient number, since it is larger than the sum of its proper divisors (1).

314115354295817 is an equidigital number, since it uses as much as digits as its factorization.

314115354295817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144000, while the sum is 59.

The spelling of 314115354295817 in words is "three hundred fourteen trillion, one hundred fifteen billion, three hundred fifty-four million, two hundred ninety-five thousand, eight hundred seventeen".