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1345305205014 = 2319711371213213
BaseRepresentation
bin10011100100111010011…
…100000101100100010110
311202121110122002022212020
4103210322130011210112
5134020141113030024
62510005155234010
7166123626365241
oct23447234054426
94677418068766
101345305205014
114795a4797291
1219888bba8906
1399b28309564
1449182584258
1524edb54e979
hex1393a705916

1345305205014 has 64 divisors (see below), whose sum is σ = 2893078632960. Its totient is φ = 415792016640.

The previous prime is 1345305205003. The next prime is 1345305205039. The reversal of 1345305205014 is 4105025035431.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 502272 + ... + 1715484.

It is an arithmetic number, because the mean of its divisors is an integer number (45204353640).

Almost surely, 21345305205014 is an apocalyptic number.

1345305205014 is an abundant number, since it is smaller than the sum of its proper divisors (1547773427946).

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

1345305205014 is a wasteful number, since it uses less digits than its factorization.

1345305205014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213445.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 1345305205014 in words is "one trillion, three hundred forty-five billion, three hundred five million, two hundred five thousand, fourteen".

Divisors: 1 2 3 6 19 38 57 71 114 137 142 213 274 411 426 822 1349 2603 2698 4047 5206 7809 8094 9727 15618 19454 29181 58362 184813 369626 554439 1108878 1213213 2426426 3639639 7279278 23051047 46102094 69153141 86138123 138306282 166210181 172276246 258414369 332420362 498630543 516828738 997261086 1636624337 3157993439 3273248674 4909873011 6315986878 9473980317 9819746022 11800922851 18947960634 23601845702 35402768553 70805537106 224217534169 448435068338 672652602507 1345305205014