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344044440443 = 1127935991677
BaseRepresentation
bin1010000000110101010…
…01011000101101111011
31012220001001022102112002
411000122221120231323
521114100334043233
6422015110211215
733566512330604
oct5003251305573
91186031272462
10344044440443
111229aa132300
1256817953b0b
132659ba925a2
141291a910dab
158e392986e8
hex501aa58b7b

344044440443 has 12 divisors (see below), whose sum is σ = 382951453920. Its totient is φ = 308808580080.

The previous prime is 344044440431. The next prime is 344044440469.

344044440443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344044440443 - 24 = 344044440427 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344044440397 and 344044440406.

It is not an unprimeable number, because it can be changed into a prime (344044470443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17986280 + ... + 18005397.

It is an arithmetic number, because the mean of its divisors is an integer number (31912621160).

Almost surely, 2344044440443 is an apocalyptic number.

344044440443 is a deficient number, since it is larger than the sum of its proper divisors (38907013477).

344044440443 is a wasteful number, since it uses less digits than its factorization.

344044440443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35991778 (or 35991767 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 344044 and 440443, that added together give a palindrome (784487).

The spelling of 344044440443 in words is "three hundred forty-four billion, forty-four million, four hundred forty thousand, four hundred forty-three".

Divisors: 1 11 79 121 869 9559 35991677 395908447 2843342483 4354992917 31276767313 344044440443