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314112433234045 = 5896411101202241
BaseRepresentation
bin100011101101011110000000…
…0000000001010000001111101
31112012011212002112211121121011
41013122330000000022001331
5312132404230401442140
63032021132033435221
7123106605626642665
oct10732740000120175
91465155075747534
10314112433234045
11910a4375736a46
122b29111640bb11
13106368a19a9604
14577d1a12b91a5
15264abba292cea
hex11daf0000a07d

314112433234045 has 16 divisors (see below), whose sum is σ = 381764793256560. Its totient is φ = 248078840627200.

The previous prime is 314112433234027. The next prime is 314112433234111. The reversal of 314112433234045 is 540432334211413.

It can be written as a sum of positive squares in 8 ways, for example, as 45343065843076 + 268769367390969 = 6733726^2 + 16394187^2 .

It is not a de Polignac number, because 314112433234045 - 25 = 314112433234013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314112433233989 and 314112433234007.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 550315876 + ... + 550886365.

It is an arithmetic number, because the mean of its divisors is an integer number (23860299578535).

Almost surely, 2314112433234045 is an apocalyptic number.

It is an amenable number.

314112433234045 is a deficient number, since it is larger than the sum of its proper divisors (67652360022515).

314112433234045 is a wasteful number, since it uses less digits than its factorization.

314112433234045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101202976.

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 314112433234045 its reverse (540432334211413), we get a palindrome (854544767445458).

The spelling of 314112433234045 in words is "three hundred fourteen trillion, one hundred twelve billion, four hundred thirty-three million, two hundred thirty-four thousand, forty-five".

Divisors: 1 5 89 445 641 3205 57049 285245 1101202241 5506011205 98006999449 490034997245 705870636481 3529353182405 62822486646809 314112433234045