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244332142344 = 23323393501977
BaseRepresentation
bin1110001110001101010…
…1001001111100001000
3212100122221000212002100
43203203111021330020
513000343012023334
6304124501433400
723436530641263
oct3434325117410
9770587025070
10244332142344
1194691140974
123b42a40b860
131a06aa66074
14bb7bb81cda
15655043dc99
hex38e3549f08

244332142344 has 24 divisors (see below), whose sum is σ = 661732885710. Its totient is φ = 81444047424.

The previous prime is 244332142339. The next prime is 244332142361. The reversal of 244332142344 is 443241233442.

244332142344 is a `hidden beast` number, since 2 + 4 + 433 + 214 + 2 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 229163264100 + 15168878244 = 478710^2 + 123162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 244332142299 and 244332142308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1696750917 + ... + 1696751060.

Almost surely, 2244332142344 is an apocalyptic number.

244332142344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244332142344 is an abundant number, since it is smaller than the sum of its proper divisors (417400743366).

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

244332142344 is a wasteful number, since it uses less digits than its factorization.

244332142344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393501989 (or 3393501982 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 244332142344 its reverse (443241233442), we get a palindrome (687573375786).

The spelling of 244332142344 in words is "two hundred forty-four billion, three hundred thirty-two million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3393501977 6787003954 10180505931 13574007908 20361011862 27148015816 30541517793 40722023724 61083035586 81444047448 122166071172 244332142344