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1345265143614 = 2327217314367307
BaseRepresentation
bin10011100100111000000…
…011010000111100111110
311202121100211200222221200
4103210320003100330332
5134020100334043424
62510001204440330
7166122632023200
oct23447003207476
94677324628850
101345265143614
11479584114597
1219887a6a90a6
1399b1cc20aa2
144917b116770
1524ed7c898c9
hex139380d0f3e

1345265143614 has 288 divisors, whose sum is σ = 3792113335296. Its totient is φ = 341936017920.

The previous prime is 1345265143601. The next prime is 1345265143633. The reversal of 1345265143614 is 4163415625431.

1345265143614 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 26 + 5 + 1 + 4 + 3 + 614 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1345265143614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19953349 + ... + 20020655.

It is an arithmetic number, because the mean of its divisors is an integer number (13167060192).

Almost surely, 21345265143614 is an apocalyptic number.

1345265143614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345265143614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896056667648).

1345265143614 is an abundant number, since it is smaller than the sum of its proper divisors (2446848191682).

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

1345265143614 is a wasteful number, since it uses less digits than its factorization.

1345265143614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67420 (or 67410 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 1345265143614 in words is "one trillion, three hundred forty-five billion, two hundred sixty-five million, one hundred forty-three thousand, six hundred fourteen".