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344146641443 = 11294147995483
BaseRepresentation
bin1010000001000001011…
…11010000001000100011
31012220022011121202221022
411000200233100020203
521114303020011233
6422033200520055
733602163120653
oct5004057201043
91186264552838
10344146641443
11122a51897440
125684602002b
13265b6cc6b57
141292a316363
158e43235398
hex5020bd0223

344146641443 has 32 divisors (see below), whose sum is σ = 398006784000. Its totient is φ = 294589523200.

The previous prime is 344146641427. The next prime is 344146641463.

It is a happy number.

344146641443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 344146641443 - 24 = 344146641427 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344146641394 and 344146641403.

It is not an unprimeable number, because it can be changed into a prime (344146641463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62763380 + ... + 62768862.

It is an arithmetic number, because the mean of its divisors is an integer number (12437712000).

Almost surely, 2344146641443 is an apocalyptic number.

344146641443 is a deficient number, since it is larger than the sum of its proper divisors (53860142557).

344146641443 is a wasteful number, since it uses less digits than its factorization.

344146641443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363.

The product of its digits is 1327104, while the sum is 44.

It can be divided in two parts, 344146 and 641443, that added together give a palindrome (985589).

The spelling of 344146641443 in words is "three hundred forty-four billion, one hundred forty-six million, six hundred forty-one thousand, four hundred forty-three".

Divisors: 1 11 29 41 319 451 1189 4799 5483 13079 52789 60313 139171 159007 196759 224803 1530881 1749077 2164349 2472833 5706011 6519287 26312917 62766121 71712157 289442087 763074593 1078829597 8393820523 11867125567 31286058313 344146641443