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344410014443 = 1110114910911907
BaseRepresentation
bin1010000001100000110…
…11111100001011101011
31012220222112012111202212
411000300123330023223
521120322430430233
6422115245515335
733611541551165
oct5006033741353
91186875174685
10344410014443
11123077524480
12568ba272b4b
132662973c471
14129532b3935
158e5b40ba48
hex50306fc2eb

344410014443 has 32 divisors (see below), whose sum is σ = 382537209600. Its totient is φ = 307475920000.

The previous prime is 344410014439. The next prime is 344410014457.

344410014443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 344410014443 - 22 = 344410014439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344410014413) 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, 180602096 + ... + 180604002.

It is an arithmetic number, because the mean of its divisors is an integer number (11954287800).

Almost surely, 2344410014443 is an apocalyptic number.

344410014443 is a deficient number, since it is larger than the sum of its proper divisors (38127195157).

344410014443 is a wasteful number, since it uses less digits than its factorization.

344410014443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 3444100 and 14443, that added together give a palindrome (3458543).

The spelling of 344410014443 in words is "three hundred forty-four billion, four hundred ten million, fourteen thousand, four hundred forty-three".

Divisors: 1 11 101 149 1091 1111 1639 1907 12001 15049 20977 110191 162559 165539 192607 284143 1212101 1788149 2080537 2118677 3125573 16418459 22885907 28698443 180603049 210134237 310000013 315682873 2311476607 3410000143 31310001313 344410014443