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344342565243443 = 137310113726223011
BaseRepresentation
bin100111001001011011000000…
…0010010000100101000110011
31200011012211100102111201210202
41032102312000102010220303
5330113202033200242233
63220204442440345415
7132346633525215134
oct11622660022045063
91604184312451722
10344342565243443
119a7999530a68a8
1232753a9047526b
1311a1a497c70090
1461063aa515c8b
1529c22189e3be8
hex1392d80484a33

344342565243443 has 32 divisors (see below), whose sum is σ = 382403261120832. Its totient is φ = 308130856704000.

The previous prime is 344342565243433. The next prime is 344342565243581.

It is a happy number.

344342565243443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 344342565243443 - 228 = 344342296807987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344342565243433) 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, 19808 + ... + 26242818.

It is an arithmetic number, because the mean of its divisors is an integer number (11950101910026).

Almost surely, 2344342565243443 is an apocalyptic number.

344342565243443 is a deficient number, since it is larger than the sum of its proper divisors (38060695877389).

344342565243443 is a wasteful number, since it uses less digits than its factorization.

344342565243443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26223335.

The product of its digits is 199065600, while the sum is 56.

The spelling of 344342565243443 in words is "three hundred forty-four trillion, three hundred forty-two billion, five hundred sixty-five million, two hundred forty-three thousand, four hundred forty-three".

Divisors: 1 13 73 101 137 949 1313 1781 7373 10001 13837 95849 130013 179881 1010101 13131313 26223011 340899143 1914279803 2648524111 3592552507 24885637439 34430813443 46703182591 193342260103 262256333011 362847803207 2513449381339 3409332329143 4717021441691 26487889634111 344342565243443