Search a number
-
+
344965140481 = 1327937257177
BaseRepresentation
bin1010000010100011000…
…01100101000000000001
31012222102012202211112111
411001101201211000001
521122442033443411
6422250320055321
733631362212353
oct5012141450001
91188365684474
10344965140481
11123331912925
1256a34164541
13266b7755c00
14129a6cd90d3
158e90013721
hex5051865001

344965140481 has 12 divisors (see below), whose sum is σ = 373590650412. Its totient is φ = 318388002816.

The previous prime is 344965140451. The next prime is 344965140491. The reversal of 344965140481 is 184041569443.

It can be written as a sum of positive squares in 6 ways, for example, as 11815690000 + 333149450481 = 108700^2 + 577191^2 .

It is not a de Polignac number, because 344965140481 - 237 = 207526187009 is a prime.

It is a super-2 number, since 2×3449651404812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344965140431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1212765 + ... + 1469941.

It is an arithmetic number, because the mean of its divisors is an integer number (31132554201).

Almost surely, 2344965140481 is an apocalyptic number.

It is an amenable number.

344965140481 is a deficient number, since it is larger than the sum of its proper divisors (28625509931).

344965140481 is a wasteful number, since it uses less digits than its factorization.

344965140481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265140 (or 265127 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 344965140481 in words is "three hundred forty-four billion, nine hundred sixty-five million, one hundred forty thousand, four hundred eighty-one".

Divisors: 1 13 169 7937 103181 257177 1341353 3343301 43462913 2041213849 26535780037 344965140481