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441958874281 = 9533697125441
BaseRepresentation
bin1100110111001101100…
…11010011110010101001
31120020202212121000211121
412123212303103302221
524220112432434111
6535011052255241
743634103306361
oct6334663236251
91506685530747
10441958874281
11160485298701
12717a3171521
13328a4498bc2
14175689a19a1
15b76a36c871
hex66e6cd3ca9

441958874281 has 8 divisors (see below), whose sum is σ = 442545828264. Its totient is φ = 441372180480.

The previous prime is 441958874207. The next prime is 441958874323. The reversal of 441958874281 is 182478859144.

441958874281 = 4700842 + 4700852.

It can be written as a sum of positive squares in 4 ways, for example, as 3106947600 + 438851926681 = 55740^2 + 662459^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(441958874281) divides (441958874281-1)6.

It is a cyclic number.

It is not a de Polignac number, because 441958874281 - 27 = 441958874153 is a prime.

It is a super-2 number, since 2×4419588742812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441958874081) 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, 3460521 + ... + 3585961.

It is an arithmetic number, because the mean of its divisors is an integer number (55318228533).

Almost surely, 2441958874281 is an apocalyptic number.

441958874281 is the 470085-th centered square number.

It is an amenable number.

441958874281 is a deficient number, since it is larger than the sum of its proper divisors (586953983).

441958874281 is a wasteful number, since it uses less digits than its factorization.

441958874281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130091.

The product of its digits is 20643840, while the sum is 61.

The spelling of 441958874281 in words is "four hundred forty-one billion, nine hundred fifty-eight million, eight hundred seventy-four thousand, two hundred eighty-one".

Divisors: 1 953 3697 125441 3523241 119545273 463755377 441958874281