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314321302341 = 321719808913367
BaseRepresentation
bin1001001001011110000…
…00100111001101000101
31010001022120222120021100
410210233000213031011
520122212223133331
6400221444210313
731465113662364
oct4445700471505
91101276876240
10314321302341
111113371a9762
1250b01699999
1323842b866c7
14112db1757db
158299b0cae6
hex492f027345

314321302341 has 48 divisors (see below), whose sum is σ = 506128521600. Its totient is φ = 186804071424.

The previous prime is 314321302331. The next prime is 314321302367. The reversal of 314321302341 is 143203123413.

It is a happy number.

314321302341 is a `hidden beast` number, since 3 + 1 + 4 + 321 + 302 + 34 + 1 = 666.

It is not a de Polignac number, because 314321302341 - 227 = 314187084613 is a prime.

It is a super-2 number, since 2×3143213023412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314321302331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23508040 + ... + 23521406.

It is an arithmetic number, because the mean of its divisors is an integer number (10544344200).

Almost surely, 2314321302341 is an apocalyptic number.

It is an amenable number.

314321302341 is a deficient number, since it is larger than the sum of its proper divisors (191807219259).

314321302341 is a wasteful number, since it uses less digits than its factorization.

314321302341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21498 (or 21495 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 314321302341 its reverse (143203123413), we get a palindrome (457524425754).

The spelling of 314321302341 in words is "three hundred fourteen billion, three hundred twenty-one million, three hundred two thousand, three hundred forty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 8089 13367 24267 40101 72801 120303 137513 153691 227239 253973 412539 461073 681717 761919 1237617 1383219 2045151 2285757 2612747 4317541 7838241 12952623 23514723 38857869 108125663 324376989 973130967 1838136271 2054387597 5514408813 6163162791 16543226439 18489488373 34924589149 104773767447 314321302341