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14418458348 = 2272241305243
BaseRepresentation
bin11010110110110100…
…00011011011101100
31101012211212120111212
431123122003123230
5214012111131343
610342421333552
71020205605500
oct153332033354
941184776455
1014418458348
116129931188
1229648672b8
13148a213c78
149aacc4300
15595c40c18
hex35b6836ec

14418458348 has 36 divisors (see below), whose sum is σ = 29473750152. Its totient is φ = 6153678720.

The previous prime is 14418458347. The next prime is 14418458359. The reversal of 14418458348 is 84385481441.

It is a super-3 number, since 3×144184583483 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 14418458296 and 14418458305.

It is not an unprimeable number, because it can be changed into a prime (14418458347) 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, 105386 + ... + 199857.

It is an arithmetic number, because the mean of its divisors is an integer number (818715282).

Almost surely, 214418458348 is an apocalyptic number.

It is an amenable number.

14418458348 is an abundant number, since it is smaller than the sum of its proper divisors (15055291804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14418458348 is a wasteful number, since it uses less digits than its factorization.

14418458348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305502 (or 305493 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 50.

The spelling of 14418458348 in words is "fourteen billion, four hundred eighteen million, four hundred fifty-eight thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 241 482 964 1687 3374 6748 11809 23618 47236 305243 610486 1220972 2136701 4273402 8546804 14956907 29913814 59827628 73563563 147127126 294254252 514944941 1029889882 2059779764 3604614587 7209229174 14418458348