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4105661441 = 721633311553
BaseRepresentation
bin1111010010110111…
…0110110000000001
3101121010112012200212
43310231312300001
531402022131231
61515222323505
7203512355300
oct36455666001
911533465625
104105661441
1118175a2232
12966b89595
1350579808b
142ad3ba437
1519069742b
hexf4b76c01

4105661441 has 24 divisors (see below), whose sum is σ = 4822894944. Its totient is φ = 3484736640.

The previous prime is 4105661423. The next prime is 4105661447. The reversal of 4105661441 is 1441665014.

4105661441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4105661441 - 210 = 4105660417 is a prime.

It is a super-2 number, since 2×41056614412 = 33712911736228392962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4105661398 and 4105661407.

It is not an unprimeable number, because it can be changed into a prime (4105661447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642921 + ... + 2644473.

It is an arithmetic number, because the mean of its divisors is an integer number (200953956).

Almost surely, 24105661441 is an apocalyptic number.

It is an amenable number.

4105661441 is a deficient number, since it is larger than the sum of its proper divisors (717233503).

4105661441 is a wasteful number, since it uses less digits than its factorization.

4105661441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 4105661441 is about 64075.4355506071. The cubic root of 4105661441 is about 1601.2570123216.

The spelling of 4105661441 in words is "four billion, one hundred five million, six hundred sixty-one thousand, four hundred forty-one".

Divisors: 1 7 49 163 331 1141 1553 2317 7987 10871 16219 53953 76097 253139 377671 514043 1771973 2643697 3598301 12403811 25188107 83789009 586523063 4105661441