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344204014024431 = 32113476808222469
BaseRepresentation
bin100111001000011010011110…
…1111111000111011011101111
31200010201120201112221112221200
41032100310331333013123233
5330103414310042240211
63220021050251100543
7132333630225251121
oct11620647577073357
91603646645845850
10344204014024431
119a74611459a320
1232731063a41753
1311a0a3b75a9152
1460dd7c5497211
1529bd80a0a0b56
hex1390d3dfc76ef

344204014024431 has 12 divisors (see below), whose sum is σ = 542382082705320. Its totient is φ = 208608493348080.

The previous prime is 344204014024427. The next prime is 344204014024457. The reversal of 344204014024431 is 134420410402443.

344204014024431 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 0 + 401 + 4 + 0 + 244 + 3 + 1 = 666.

It is not a de Polignac number, because 344204014024431 - 22 = 344204014024427 is a prime.

It is a super-2 number, since 2×3442040140244312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344204014014431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1738404111136 + ... + 1738404111333.

It is an arithmetic number, because the mean of its divisors is an integer number (45198506892110).

Almost surely, 2344204014024431 is an apocalyptic number.

344204014024431 is a deficient number, since it is larger than the sum of its proper divisors (198178068680889).

344204014024431 is a wasteful number, since it uses less digits than its factorization.

344204014024431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476808222486 (or 3476808222483 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 344204014024431 its reverse (134420410402443), we get a palindrome (478624424426874).

It can be divided in two parts, 3442040 and 14024431, that added together give a palindrome (17466471).

The spelling of 344204014024431 in words is "three hundred forty-four trillion, two hundred four billion, fourteen million, twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 3476808222469 10430424667407 31291274002221 38244890447159 114734671341477 344204014024431