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4037147041 = 41110988789
BaseRepresentation
bin1111000010100001…
…1111100110100001
3101102100121022121111
43300220133212201
531232002201131
61504334023321
7202021116664
oct36050374641
911370538544
104037147041
111791956364
12948047b41
134c4529805
142a42636db
15189661ab1
hexf0a1f9a1

4037147041 has 8 divisors (see below), whose sum is σ = 4139389800. Its totient is φ = 3935084160.

The previous prime is 4037147003. The next prime is 4037147057. The reversal of 4037147041 is 1407417304.

4037147041 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 4389025 + 4032758016 = 2095^2 + 63504^2 .

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 4037147041 - 231 = 1889663393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4037146994 and 4037147012.

It is not an unprimeable number, because it can be changed into a prime (4037141041) 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, 1075 + ... + 89863.

It is an arithmetic number, because the mean of its divisors is an integer number (517423725).

Almost surely, 24037147041 is an apocalyptic number.

4037147041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4037147041 is a deficient number, since it is larger than the sum of its proper divisors (102242759).

4037147041 is a wasteful number, since it uses less digits than its factorization.

4037147041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89939.

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 4037147041 is about 63538.5476777680. The cubic root of 4037147041 is about 1592.2998561097.

The spelling of 4037147041 in words is "four billion, thirty-seven million, one hundred forty-seven thousand, forty-one".

Divisors: 1 41 1109 45469 88789 3640349 98467001 4037147041