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314340221313 = 3413831280583
BaseRepresentation
bin1001001001100000010…
…00110010000110000001
31010001100220120202020000
410210300020302012001
520122232044040223
6400223401510213
731465433536626
oct4446010620601
91101326522200
10314340221313
11111346950878
1250b07aa2369
1323846a7ba71
14112dd89c34d
15829b5e8543
hex4930232181

314340221313 has 20 divisors (see below), whose sum is σ = 469605584448. Its totient is φ = 209544249240.

The previous prime is 314340221291. The next prime is 314340221329. The reversal of 314340221313 is 313122043413.

It is a happy number.

314340221313 is a `hidden beast` number, since 3 + 1 + 4 + 340 + 2 + 2 + 1 + 313 = 666.

It is not a de Polignac number, because 314340221313 - 230 = 313266479489 is a prime.

It is a super-3 number, since 3×3143402213133 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314340221353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 980020 + ... + 1260602.

Almost surely, 2314340221313 is an apocalyptic number.

It is an amenable number.

314340221313 is a deficient number, since it is larger than the sum of its proper divisors (155265363135).

314340221313 is a wasteful number, since it uses less digits than its factorization.

314340221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294426 (or 294417 counting only the distinct ones).

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

Adding to 314340221313 its reverse (313122043413), we get a palindrome (627462264726).

The spelling of 314340221313 in words is "three hundred fourteen billion, three hundred forty million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 9 27 81 13831 41493 124479 280583 373437 841749 1120311 2525247 7575741 22727223 3880743473 11642230419 34926691257 104780073771 314340221313