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344445414313 = 711131632111051
BaseRepresentation
bin1010000001100101000…
…10111110101110101001
31012221001222211000021011
411000302202332232221
521120411011224223
6422122552343521
733612451466620
oct5006242765651
91187058730234
10344445414313
11123095502970
125690a0a4ba1
1326633b85230
1412957c8a6b7
158e5e5a080d
hex50328beba9

344445414313 has 32 divisors (see below), whose sum is σ = 465309637632. Its totient is φ = 246232872000.

The previous prime is 344445414301. The next prime is 344445414343. The reversal of 344445414313 is 313414544443.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344445414313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344445414343) 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, 892363 + ... + 1218688.

It is an arithmetic number, because the mean of its divisors is an integer number (14540926176).

Almost surely, 2344445414313 is an apocalyptic number.

It is an amenable number.

344445414313 is a deficient number, since it is larger than the sum of its proper divisors (120864223319).

344445414313 is a wasteful number, since it uses less digits than its factorization.

344445414313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111245.

The product of its digits is 552960, while the sum is 40.

Adding to 344445414313 its reverse (313414544443), we get a palindrome (657859958756).

The spelling of 344445414313 in words is "three hundred forty-four billion, four hundred forty-five million, four hundred fourteen thousand, three hundred thirteen".

Divisors: 1 7 11 13 77 91 143 163 1001 1141 1793 2119 12551 14833 23309 163163 2111051 14777357 23221561 27443663 162550927 192105641 301880293 344101313 2113162051 2408709191 3785114443 4473317069 26495801101 31313219483 49206487759 344445414313