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14506000385 = 5611392631301
BaseRepresentation
bin11011000001010000…
…00000000000000001
31101102221121011121112
431200220000000001
5214202014003020
610355225533105
71022320653212
oct154050000001
941387534545
1014506000385
116174293878
12298a044195
1314a23b51a6
149b8791409
1559d7842c5
hex360a00001

14506000385 has 32 divisors (see below), whose sum is σ = 17901354240. Its totient is φ = 11280672000.

The previous prime is 14506000373. The next prime is 14506000427. The reversal of 14506000385 is 58300060541.

It is a happy number.

It is not a de Polignac number, because 14506000385 - 212 = 14505996289 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11149235 + ... + 11150535.

It is an arithmetic number, because the mean of its divisors is an integer number (559417320).

It is a Proth number, since it is equal to 6917 ⋅ 221 + 1 and 6917 < 221.

Almost surely, 214506000385 is an apocalyptic number.

It is an amenable number.

14506000385 is a deficient number, since it is larger than the sum of its proper divisors (3395353855).

14506000385 is a wasteful number, since it uses less digits than its factorization.

14506000385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769.

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 14506000385 in words is "fourteen billion, five hundred six million, three hundred eighty-five", and thus it is an aban number.

Divisors: 1 5 61 139 263 305 695 1301 1315 6505 8479 16043 36557 42395 79361 80215 180839 182785 342163 396805 904195 1710815 2229977 11031179 11149885 20871943 47560657 55155895 104359715 237803285 2901200077 14506000385