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344522130021 = 32294153336037
BaseRepresentation
bin1010000001101110001…
…11101000001001100101
31012221021100011120102200
411000313013220021211
521121040131130041
6422134332525113
733614402533566
oct5006707501145
91187240146380
10344522130021
11123124840583
125692b920799
1326646a35744
141296413a16d
158e661a61b6
hex50371e8265

344522130021 has 48 divisors (see below), whose sum is σ = 527545614960. Its totient is φ = 216276157440.

The previous prime is 344522130019. The next prime is 344522130107. The reversal of 344522130021 is 120031225443.

344522130021 is a `hidden beast` number, since 3 + 4 + 4 + 522 + 130 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1577201796 + 342944928225 = 39714^2 + 585615^2 .

It is not a de Polignac number, because 344522130021 - 21 = 344522130019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344522135021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57065415 + ... + 57071451.

It is an arithmetic number, because the mean of its divisors is an integer number (10990533645).

Almost surely, 2344522130021 is an apocalyptic number.

It is an amenable number.

344522130021 is a deficient number, since it is larger than the sum of its proper divisors (183023484939).

344522130021 is a wasteful number, since it uses less digits than its factorization.

344522130021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446 (or 11443 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 344522130021 its reverse (120031225443), we get a palindrome (464553355464).

The spelling of 344522130021 in words is "three hundred forty-four billion, five hundred twenty-two million, one hundred thirty thousand, twenty-one".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 5333 6037 10701 15999 18111 47997 54333 154657 175073 218653 247517 463971 525219 655959 742551 1391913 1575657 1967877 2227653 6340937 7177993 19022811 21533979 32195321 57068433 64601937 96585963 289757889 933664309 1320008161 2800992927 3960024483 8402978781 11880073449 38280236669 114840710007 344522130021