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312644121453 = 3275614594397
BaseRepresentation
bin1001000110010110000…
…10101011001101101101
31002212222201001221121200
410203023002223031231
520110243343341303
6355343212320113
731405420120236
oct4431302531555
91085881057550
10312644121453
11110656501954
1250713a73039
1323636569791
14111bc51008d
1581ec7653a3
hex48cb0ab36d

312644121453 has 12 divisors (see below), whose sum is σ = 451656889788. Its totient is φ = 208401802560.

The previous prime is 312644121443. The next prime is 312644121529. The reversal of 312644121453 is 354121446213.

312644121453 is a `hidden beast` number, since 3 + 1 + 2 + 644 + 1 + 2 + 1 + 4 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151693112484 + 160951008969 = 389478^2 + 401187^2 .

It is not a de Polignac number, because 312644121453 - 24 = 312644121437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312644121443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2229150 + ... + 2365247.

It is an arithmetic number, because the mean of its divisors is an integer number (37638074149).

Almost surely, 2312644121453 is an apocalyptic number.

It is an amenable number.

312644121453 is a deficient number, since it is larger than the sum of its proper divisors (139012768335).

312644121453 is a wasteful number, since it uses less digits than its factorization.

312644121453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601964 (or 4601961 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 312644121453 its reverse (354121446213), we get a palindrome (666765567666).

The spelling of 312644121453 in words is "three hundred twelve billion, six hundred forty-four million, one hundred twenty-one thousand, four hundred fifty-three".

Divisors: 1 3 9 7561 22683 68049 4594397 13783191 41349573 34738235717 104214707151 312644121453