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4035996622441 = 72109226332
BaseRepresentation
bin111010101110110100001…
…001010001111001101001
3112021211121112200120211201
4322232310021101321221
51012111210113404231
612330040010324201
7564406521152200
oct72566411217151
915254545616751
104035996622441
111316724969913
12552253129661
13233792646124
14dd4b3d58237
156eebb2a1161
hex3abb4251e69

4035996622441 has 27 divisors (see below), whose sum is σ = 4740203111301. Its totient is φ = 3426386007744.

The previous prime is 4035996622433. The next prime is 4035996622447. The reversal of 4035996622441 is 1442266995304.

The square root of 4035996622441 is 2008979.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 110859032025 + 3925137590416 = 332955^2 + 1981196^2 .

It is not a de Polignac number, because 4035996622441 - 23 = 4035996622433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4035996622447) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1532849661 + ... + 1532852293.

Almost surely, 24035996622441 is an apocalyptic number.

4035996622441 is the 2008979-th square number.

4035996622441 is the 1004490-th centered octagonal number.

It is an amenable number.

4035996622441 is a deficient number, since it is larger than the sum of its proper divisors (704206488860).

4035996622441 is an frugal number, since it uses more digits than its factorization.

4035996622441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 4035996622441 in words is "four trillion, thirty-five billion, nine hundred ninety-six million, six hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 7 49 109 763 2633 5341 11881 18431 83167 129017 286997 582169 2008979 6932689 14062853 31282673 48528823 218978711 339701761 755663101 1532850977 5289641707 37027491949 82367278009 576570946063 4035996622441