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44234243244 = 22323016140739
BaseRepresentation
bin101001001100100100…
…001111110010101100
311020011202112101021100
4221030210033302230
51211042431240434
632153153203100
73124110602202
oct511444176254
9136152471240
1044234243244
111783a093724
1286a5b60490
13422c38a739
1421d8a99072
15123d5cc699
hexa4c90fcac

44234243244 has 36 divisors (see below), whose sum is σ = 111820789080. Its totient is φ = 14743896960.

The previous prime is 44234243243. The next prime is 44234243299.

44234243244 is nontrivially palindromic in base 10.

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

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 = 44234243199 and 44234243208.

It is not an unprimeable number, because it can be changed into a prime (44234243243) by changing a digit.

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, 1065427 + ... + 1106165.

It is an arithmetic number, because the mean of its divisors is an integer number (3106133030).

Almost surely, 244234243244 is an apocalyptic number.

It is an amenable number.

44234243244 is an abundant number, since it is smaller than the sum of its proper divisors (67586545836).

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

44234243244 is a wasteful number, since it uses less digits than its factorization.

44234243244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70910 (or 70905 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 44234243244 in words is "forty-four billion, two hundred thirty-four million, two hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 30161 40739 60322 81478 90483 120644 122217 162956 180966 244434 271449 361932 366651 488868 542898 733302 1085796 1466604 1228728979 2457457958 3686186937 4914915916 7372373874 11058560811 14744747748 22117121622 44234243244