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422144222441224 = 23731375276275153
BaseRepresentation
bin101111111111100000001110…
…0011011000010111100001000
32001100200121000200112120221211
41133333000130123002330020
5420312402331421104344
64053454213433342504
7154626625236000013
oct13777003433027410
92040617020476854
10422144222441224
111125653a53221a8
123b41a465b67a34
131517204c69016a
147635c6467c37a
1533c0e17727334
hex17ff01c6c2f08

422144222441224 has 32 divisors (see below), whose sum is σ = 808219828089720. Its totient is φ = 206661145153536.

The previous prime is 422144222441197. The next prime is 422144222441323.

422144222441224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 420987913640100 + 1156308801124 = 20517990^2 + 1075318^2 .

It is a super-2 number, since 2×4221442224412242 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2638057569 + ... + 2638217584.

Almost surely, 2422144222441224 is an apocalyptic number.

It is an amenable number.

422144222441224 is a deficient number, since it is larger than the sum of its proper divisors (386075605648496).

422144222441224 is a wasteful number, since it uses less digits than its factorization.

422144222441224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276275369 (or 5276275365 counting only the distinct ones).

The product of its digits is 524288, while the sum is 40.

The spelling of 422144222441224 in words is "four hundred twenty-two trillion, one hundred forty-four billion, two hundred twenty-two million, four hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 73 137 146 274 292 548 584 1096 10001 20002 40004 80008 5276275153 10552550306 21105100612 42210201224 385168086169 722849695961 770336172338 1445699391922 1540672344676 2891398783844 3081344689352 5782797567688 52768027805153 105536055610306 211072111220612 422144222441224