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344202144540321 = 34111573324179719
BaseRepresentation
bin100111001000011001100111…
…0100011100110011010100001
31200010201101220021011220212110
41032100303032203212122201
5330103401443000242241
63220020140545345533
7132333533005016124
oct11620631643463241
91603641807156773
10344202144540321
119a745345297231
12327308219382a9
1311a0a17a19b332
1460dd6890943bb
1529bd74adbe816
hex1390cce8e66a1

344202144540321 has 16 divisors (see below), whose sum is σ = 470133840032640. Its totient is φ = 223869369886080.

The previous prime is 344202144540299. The next prime is 344202144540323. The reversal of 344202144540321 is 123045441202443.

It is not a de Polignac number, because 344202144540321 - 215 = 344202144507553 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 344202144540321.

It is not an unprimeable number, because it can be changed into a prime (344202144540323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145300 + ... + 26325018.

It is an arithmetic number, because the mean of its divisors is an integer number (29383365002040).

Almost surely, 2344202144540321 is an apocalyptic number.

It is an amenable number.

344202144540321 is a deficient number, since it is larger than the sum of its proper divisors (125931695492319).

344202144540321 is a wasteful number, since it uses less digits than its factorization.

344202144540321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24295496.

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 344202144540321 its reverse (123045441202443), we get a palindrome (467247585742764).

The spelling of 344202144540321 in words is "three hundred forty-four trillion, two hundred two billion, one hundred forty-four million, five hundred forty thousand, three hundred twenty-one".

Divisors: 1 3 41 123 115733 347199 4745053 14235159 24179719 72539157 991368479 2974105437 2798391419027 8395174257081 114734048180107 344202144540321