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44222311322244 = 223211111672503339
BaseRepresentation
bin10100000111000010011110…
…01010000101001010000100
312210120121111220121000001100
422003201033022011022010
521244014243144302434
6234015241021300100
712212646046106436
oct1203411712051204
9183517456530040
1044222311322244
11130aa638960530
124b626b6704630
131b8a1b8b97793
14acc52ab5a656
1551a4ccc73699
hex28384f285284

44222311322244 has 36 divisors (see below), whose sum is σ = 121946373647280. Its totient is φ = 13400700400560.

The previous prime is 44222311322209. The next prime is 44222311322279.

44222311322244 is a `hidden beast` number, since 4 + 42 + 22 + 31 + 1 + 322 + 244 = 666.

44222311322244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44222311322209) and next prime (44222311322279).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×442223113222442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 44222311322199 and 44222311322208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55836251274 + ... + 55836252065.

It is an arithmetic number, because the mean of its divisors is an integer number (3387399267980).

Almost surely, 244222311322244 is an apocalyptic number.

44222311322244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44222311322244 is an abundant number, since it is smaller than the sum of its proper divisors (77724062325036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44222311322244 is a wasteful number, since it uses less digits than its factorization.

44222311322244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111672503360 (or 111672503355 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4422231 and 1322244, that added together give a palindrome (5744475).

The spelling of 44222311322244 in words is "forty-four trillion, two hundred twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 111672503339 223345006678 335017510017 446690013356 670035020034 1005052530051 1228397536729 1340070040068 2010105060102 2456795073458 3685192610187 4020210120204 4913590146916 7370385220374 11055577830561 14740770440748 22111155661122 44222311322244