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312544301429 is a prime number
BaseRepresentation
bin1001000110001010001…
…01111001000101110101
31002212201202020120021202
410203011011321011311
520110042320121204
6355325245022245
731403065504613
oct4430505710565
91085652216252
10312544301429
11110605123668
12506a6554985
132361b989b89
14111ad1686b3
1581e3ae8e1e
hex48c5179175

312544301429 has 2 divisors, whose sum is σ = 312544301430. Its totient is φ = 312544301428.

The previous prime is 312544301417. The next prime is 312544301473. The reversal of 312544301429 is 924103445213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296082898225 + 16461403204 = 544135^2 + 128302^2 .

It is a cyclic number.

It is not a de Polignac number, because 312544301429 - 24 = 312544301413 is a prime.

It is a super-2 number, since 2×3125443014292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312544301392 and 312544301401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312544301129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156272150714 + 156272150715.

It is an arithmetic number, because the mean of its divisors is an integer number (156272150715).

Almost surely, 2312544301429 is an apocalyptic number.

It is an amenable number.

312544301429 is a deficient number, since it is larger than the sum of its proper divisors (1).

312544301429 is an equidigital number, since it uses as much as digits as its factorization.

312544301429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 312544301429 in words is "three hundred twelve billion, five hundred forty-four million, three hundred one thousand, four hundred twenty-nine".