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13934758919041 = 2292163012
BaseRepresentation
bin1100101011000111000001…
…0110101111101110000001
31211100011001022022122112201
43022301300112233232001
53311301341240402131
645345312340153201
72635516213331332
oct312616026575601
954304038278481
1013934758919041
114492775149964
121690796698801
137a107172932c
143626358c0289
1519271d4c2761
hexcac705afb81

13934758919041 has 9 divisors (see below), whose sum is σ = 13996733759913. Its totient is φ = 13873057335600.

The previous prime is 13934758919009. The next prime is 13934758919089. The reversal of 13934758919041 is 14091985743931.

The square root of 13934758919041 is 3732929.

It is a perfect power (a square), and thus also a powerful number.

13934758919041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8489816685441 + 5444942233600 = 2913729^2 + 2333440^2 .

It is not a de Polignac number, because 13934758919041 - 25 = 13934758919009 is a prime.

It is a super-2 number, since 2×139347589190412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13934758019041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 854832591 + ... + 854848891.

Almost surely, 213934758919041 is an apocalyptic number.

13934758919041 is the 3732929-th square number.

13934758919041 is the 1866465-th centered octagonal number.

It is an amenable number.

13934758919041 is a deficient number, since it is larger than the sum of its proper divisors (61974840872).

13934758919041 is an frugal number, since it uses more digits than its factorization.

13934758919041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33060 (or 16530 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

Multiplying 13934758919041 by its sum of digits (64), we get a square (891824570818624 = 298634322).

The spelling of 13934758919041 in words is "thirteen trillion, nine hundred thirty-four billion, seven hundred fifty-eight million, nine hundred nineteen thousand, forty-one".

Divisors: 1 229 16301 52441 3732929 265722601 854840741 60850475629 13934758919041