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4286022013441 = 7297230492
BaseRepresentation
bin111110010111101010110…
…100011101001000000001
3120011201222020120102212101
4332113222310131020001
51030210233113412231
613040545450230401
7621440423003200
oct76275264351001
916151866512771
104286022013441
111402767765763
125927b0125401
13251229a5517c
1410b631c99237
1576751433661
hex3e5ead1d201

4286022013441 has 27 divisors (see below), whose sum is σ = 5039363197449. Its totient is φ = 3634667140608.

The previous prime is 4286022013423. The next prime is 4286022013463. The reversal of 4286022013441 is 1443102206824.

The square root of 4286022013441 is 2070271.

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

4286022013441 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 992145484225 + 3293876529216 = 996065^2 + 1814904^2 .

It is not a de Polignac number, because 4286022013441 - 215 = 4286021980673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4286022013441.

It is not an unprimeable number, because it can be changed into a prime (4286022013421) 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, 1405712485 + ... + 1405715533.

It is an arithmetic number, because the mean of its divisors is an integer number (186643081387).

Almost surely, 24286022013441 is an apocalyptic number.

4286022013441 is the 2070271-st square number.

4286022013441 is the 1035136-th centered octagonal number.

It is an amenable number.

4286022013441 is a deficient number, since it is larger than the sum of its proper divisors (753341184008).

4286022013441 is an frugal number, since it uses more digits than its factorization.

4286022013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 4286022013441 in words is "four trillion, two hundred eighty-six billion, twenty-two million, thirteen thousand, four hundred forty-one".

Divisors: 1 7 49 97 679 3049 4753 9409 21343 65863 149401 295753 461041 2070271 9296401 14491897 28688041 65074807 200816287 455523649 901750897 1405714009 6312256279 44185793953 87469837009 612288859063 4286022013441