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1305446142343 = 72111723851171
BaseRepresentation
bin10010111111110010101…
…001110101000110000111
311121210120210020011000211
4102333302221311012013
5132342023203023333
62435414053220251
7163213113060400
oct22776251650607
94553523204024
101305446142343
11463700350582
12191007331687
1396145501b85
14472809c29a7
1523e57106ecd
hex12ff2a75187

1305446142343 has 12 divisors (see below), whose sum is σ = 1519939786872. Its totient is φ = 1117952040240.

The previous prime is 1305446142337. The next prime is 1305446142349. The reversal of 1305446142343 is 3432416445031.

It is an interprime number because it is at equal distance from previous prime (1305446142337) and next prime (1305446142349).

It is a de Polignac number, because none of the positive numbers 2k-1305446142343 is a prime.

It is a super-3 number, since 3×13054461423433 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1305446142296 and 1305446142305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305446142349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11870853 + ... + 11980318.

It is an arithmetic number, because the mean of its divisors is an integer number (126661648906).

Almost surely, 21305446142343 is an apocalyptic number.

1305446142343 is a deficient number, since it is larger than the sum of its proper divisors (214493644529).

1305446142343 is a wasteful number, since it uses less digits than its factorization.

1305446142343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23852302 (or 23852295 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 1305446142343 in words is "one trillion, three hundred five billion, four hundred forty-six million, one hundred forty-two thousand, three hundred forty-three".

Divisors: 1 7 49 1117 7819 54733 23851171 166958197 1168707379 26641758007 186492306049 1305446142343