Search a number
-
+
312401041417 is a prime number
BaseRepresentation
bin1001000101111001000…
…11011001100000001001
31002212100202200012111101
410202330203121200021
520104244131311132
6355303130301401
731366406016133
oct4427443314011
91085322605441
10312401041417
11110541275263
1250666587861
13235c80aaa3a
1411198116053
1581d624b7e7
hex48bc8d9809

312401041417 has 2 divisors, whose sum is σ = 312401041418. Its totient is φ = 312401041416.

The previous prime is 312401041411. The next prime is 312401041441. The reversal of 312401041417 is 714140104213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311842948041 + 558093376 = 558429^2 + 23624^2 .

It is a cyclic number.

It is not a de Polignac number, because 312401041417 - 27 = 312401041289 is a prime.

It is a super-2 number, since 2×3124010414172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312401041411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156200520708 + 156200520709.

It is an arithmetic number, because the mean of its divisors is an integer number (156200520709).

Almost surely, 2312401041417 is an apocalyptic number.

It is an amenable number.

312401041417 is a deficient number, since it is larger than the sum of its proper divisors (1).

312401041417 is an equidigital number, since it uses as much as digits as its factorization.

312401041417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 312401041417 in words is "three hundred twelve billion, four hundred one million, forty-one thousand, four hundred seventeen".