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38041038041 = 1011093499901
BaseRepresentation
bin100011011011011011…
…000010110011011001
310122012010220221212212
4203123123002303121
51110402001204131
625250435244505
72514456326306
oct433333026331
9118163827785
1038041038041
11151511a0a16
127457a49735
133783276386
141bac3560ad
15ec9a2da2b
hex8db6c2cd9

38041038041 has 16 divisors (see below), whose sum is σ = 38885154000. Its totient is φ = 37208160000.

The previous prime is 38041038037. The next prime is 38041038047. The reversal of 38041038041 is 14083014083.

It can be written as a sum of positive squares in 8 ways, for example, as 19882128016 + 18158910025 = 141004^2 + 134755^2 .

It is a cyclic number.

It is not a de Polignac number, because 38041038041 - 22 = 38041038037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38041037989 and 38041038007.

It is not an unprimeable number, because it can be changed into a prime (38041038047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3837191 + ... + 3847091.

It is an arithmetic number, because the mean of its divisors is an integer number (2430322125).

Almost surely, 238041038041 is an apocalyptic number.

It is an amenable number.

38041038041 is a deficient number, since it is larger than the sum of its proper divisors (844115959).

38041038041 is a wasteful number, since it uses less digits than its factorization.

38041038041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 38041038041 in words is "thirty-eight billion, forty-one million, thirty-eight thousand, forty-one".

Divisors: 1 101 109 349 9901 11009 35249 38041 1000001 1079209 3455449 3842141 109000109 349000349 376643941 38041038041