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14113438101137 = 121317776547637
BaseRepresentation
bin1100110101100000101001…
…1101101110111010010001
31211222020020202201120020202
43031120022131232322101
53322213310123214022
650003342435144545
72654443103324354
oct315301235567221
954866222646222
1014113438101137
114551525964aa1
1216bb341a45155
137b4b7882710b
1436b1460da29b
151971c9c77592
hexcd60a76ee91

14113438101137 has 8 divisors (see below), whose sum is σ = 14133024241896. Its totient is φ = 14093865061632.

The previous prime is 14113438101047. The next prime is 14113438101187. The reversal of 14113438101137 is 73110183431141.

It can be written as a sum of positive squares in 4 ways, for example, as 319226130001 + 13794211971136 = 565001^2 + 3714056^2 .

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 14113438101137 - 216 = 14113438035601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14113438101137.

It is not an unprimeable number, because it can be changed into a prime (14113438101187) 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 7 ways as a sum of consecutive naturals, for example, 1118318 + ... + 5429319.

It is an arithmetic number, because the mean of its divisors is an integer number (1766628030237).

Almost surely, 214113438101137 is an apocalyptic number.

It is an amenable number.

14113438101137 is a deficient number, since it is larger than the sum of its proper divisors (19586140759).

14113438101137 is a wasteful number, since it uses less digits than its factorization.

14113438101137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550627.

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 14113438101137 in words is "fourteen trillion, one hundred thirteen billion, four hundred thirty-eight million, one hundred one thousand, one hundred thirty-seven".

Divisors: 1 1213 1777 2155501 6547637 7942283681 11635150949 14113438101137