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344421145311 = 33743225132057
BaseRepresentation
bin1010000001100010001…
…10011001101011011111
31012221000022011000110020
411000301012121223133
521120333303122221
6422120324243223
733612035300535
oct5006106315337
91187008130406
10344421145311
11123082837241
1256901b40513
132662bb38989
1412954970155
158e5c3a9ac6
hex5031199adf

344421145311 has 32 divisors (see below), whose sum is σ = 482837591808. Its totient is φ = 218109024000.

The previous prime is 344421145309. The next prime is 344421145379. The reversal of 344421145311 is 113541124443.

It is not a de Polignac number, because 344421145311 - 21 = 344421145309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344421145111) 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 31 ways as a sum of consecutive naturals, for example, 10727995 + ... + 10760051.

It is an arithmetic number, because the mean of its divisors is an integer number (15088674744).

Almost surely, 2344421145311 is an apocalyptic number.

344421145311 is a deficient number, since it is larger than the sum of its proper divisors (138416446497).

344421145311 is a wasteful number, since it uses less digits than its factorization.

344421145311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34391.

The product of its digits is 23040, while the sum is 33.

Adding to 344421145311 its reverse (113541124443), we get a palindrome (457962269754).

The spelling of 344421145311 in words is "three hundred forty-four billion, four hundred twenty-one million, one hundred forty-five thousand, three hundred eleven".

Divisors: 1 3 37 43 111 129 1591 2251 4773 6753 32057 83287 96171 96793 249861 290379 1186109 1378451 3558327 3581341 4135353 10744023 51002687 72160307 153008061 216480921 2669931359 3102893201 8009794077 9308679603 114807048437 344421145311