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1055328715441 = 71121395843131
BaseRepresentation
bin11110101101101100111…
…11100100001010110001
310201212222200011101111001
433112312133210022301
5114242303122343231
62124451124522001
7136150013034220
oct17266637441261
93655880141431
101055328715441
11377620602800
12150643550301
137869500a310
1439114764cb7
151c6b8d44b61
hexf5b67e42b1

1055328715441 has 24 divisors (see below), whose sum is σ = 1427679294272. Its totient is φ = 759077589600.

The previous prime is 1055328715417. The next prime is 1055328715453. The reversal of 1055328715441 is 1445178235501.

It is a happy number.

It is not a de Polignac number, because 1055328715441 - 219 = 1055328191153 is a prime.

It is a super-3 number, since 3×10553287154413 (a number of 37 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 = 1055328715391 and 1055328715400.

It is not an unprimeable number, because it can be changed into a prime (1055328716441) 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 23 ways as a sum of consecutive naturals, for example, 47910555 + ... + 47932576.

Almost surely, 21055328715441 is an apocalyptic number.

1055328715441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1055328715441 is a deficient number, since it is larger than the sum of its proper divisors (372350578831).

1055328715441 is a wasteful number, since it uses less digits than its factorization.

1055328715441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95843173 (or 95843162 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 1055328715441 in words is "one trillion, fifty-five billion, three hundred twenty-eight million, seven hundred fifteen thousand, four hundred forty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 95843131 670901917 1054274441 1245960703 7379921087 8721724921 11597018851 13705567733 81179131957 95938974131 150761245063 1055328715441