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13932122327041 = 171241816599533
BaseRepresentation
bin1100101010111101001100…
…1100111100100000000001
31211022220020120002220021011
43022233103030330200001
53311230441303431131
645344154553000521
72635363656555232
oct312572314744001
954286216086234
1013932122327041
114491641931306
12169017b6b3141
137a0a41413b19
14362465675089
15192616cb50b1
hexcabd333c801

13932122327041 has 8 divisors (see below), whose sum is σ = 14751779961384. Its totient is φ = 13112478140160.

The previous prime is 13932122327003. The next prime is 13932122327087. The reversal of 13932122327041 is 14072322123931.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11252697086016 + 2679425241025 = 3354504^2 + 1636895^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13932122327041 - 235 = 13897762588673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13932122326985 and 13932122327003.

It is not an unprimeable number, because it can be changed into a prime (13932122327341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1188690 + ... + 5410843.

It is an arithmetic number, because the mean of its divisors is an integer number (1843972495173).

Almost surely, 213932122327041 is an apocalyptic number.

It is an amenable number.

13932122327041 is a deficient number, since it is larger than the sum of its proper divisors (819657634343).

13932122327041 is a wasteful number, since it uses less digits than its factorization.

13932122327041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723731.

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 13932122327041 in words is "thirteen trillion, nine hundred thirty-two billion, one hundred twenty-two million, three hundred twenty-seven thousand, forty-one".

Divisors: 1 17 124181 2111077 6599533 112192061 819536607473 13932122327041