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14302420341 = 31121271991559
BaseRepresentation
bin11010101000111110…
…11001110101110101
31100220202112020021220
431110133121311311
5213242404422331
610323114300553
71014266365326
oct152437316565
940822466256
1014302420341
11607a386100
122931a27759
13146c176521
1499971a44d
1558a96e296
hex3547d9d75

14302420341 has 48 divisors (see below), whose sum is σ = 21245952000. Its totient is φ = 8551176480.

The previous prime is 14302420313. The next prime is 14302420343.

14302420341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14302420341 - 25 = 14302420309 is a prime.

It is a super-2 number, since 2×143024203412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14302420343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9173320 + ... + 9174878.

It is an arithmetic number, because the mean of its divisors is an integer number (442624000).

Almost surely, 214302420341 is an apocalyptic number.

14302420341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14302420341 is a deficient number, since it is larger than the sum of its proper divisors (6943531659).

14302420341 is a wasteful number, since it uses less digits than its factorization.

14302420341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 14302420341 in words is "fourteen billion, three hundred two million, four hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 11 33 121 127 199 363 381 597 1397 1559 2189 4191 4677 6567 15367 17149 24079 25273 46101 51447 72237 75819 188639 197993 278003 310241 565917 593979 834009 930723 2177923 3058033 3412651 6533769 9174099 10237953 23957153 37539161 39400607 71871459 112617483 118201821 433406677 1300220031 4767473447 14302420341