Search a number
-
+
314661424361041 is a prime number
BaseRepresentation
bin100011110001011101101001…
…0011011000110111001010001
31112021010100010200111102212201
41013202323102123012321101
5312220403044114023131
63033121243542523201
7123164352300350362
oct10742732233067121
91467110120442781
10314661424361041
119129618493324a
122b35b5aa436501
13106765a2871314
14579b9a0c51b69
15265a0ebdd5761
hex11e2ed26c6e51

314661424361041 has 2 divisors, whose sum is σ = 314661424361042. Its totient is φ = 314661424361040.

The previous prime is 314661424361023. The next prime is 314661424361113. The reversal of 314661424361041 is 140163424166413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256988472339600 + 57672952021441 = 16030860^2 + 7594271^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314661424361041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314661424360982 and 314661424361000.

It is not a weakly prime, because it can be changed into another prime (314661424361021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157330712180520 + 157330712180521.

It is an arithmetic number, because the mean of its divisors is an integer number (157330712180521).

Almost surely, 2314661424361041 is an apocalyptic number.

It is an amenable number.

314661424361041 is a deficient number, since it is larger than the sum of its proper divisors (1).

314661424361041 is an equidigital number, since it uses as much as digits as its factorization.

314661424361041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 314661424361041 in words is "three hundred fourteen trillion, six hundred sixty-one billion, four hundred twenty-four million, three hundred sixty-one thousand, forty-one".