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344133164144 = 24711279328867
BaseRepresentation
bin1010000000111111110…
…11110101110001110000
31012220021020021001120002
411000133323311301300
521114241042223034
6422032000005132
733601640426360
oct5003773656160
91186236231502
10344133164144
11122a45221780
12568416007a8
13265b4288613
14129286089a0
158e41e71e7e
hex501fef5c70

344133164144 has 40 divisors (see below), whose sum is σ = 831282711168. Its totient is φ = 134077855680.

The previous prime is 344133164113. The next prime is 344133164147. The reversal of 344133164144 is 441461331443.

It is a super-2 number, since 2×3441331641442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344133164098 and 344133164107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344133164147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139663202 + ... + 139665665.

Almost surely, 2344133164144 is an apocalyptic number.

It is an amenable number.

344133164144 is an abundant number, since it is smaller than the sum of its proper divisors (487149547024).

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

344133164144 is a wasteful number, since it uses less digits than its factorization.

344133164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279328893 (or 279328887 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

Adding to 344133164144 its reverse (441461331443), we get a palindrome (785594495587).

The spelling of 344133164144 in words is "three hundred forty-four billion, one hundred thirty-three million, one hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 279328867 558657734 1117315468 1955302069 2234630936 3072617537 3910604138 4469261872 6145235074 7821208276 12290470148 15642416552 21508322759 24580940296 31284833104 43016645518 49161880592 86033291036 172066582072 344133164144