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344234222432443 = 7228699924478093
BaseRepresentation
bin100111001000101000100011…
…0100011000011000010111011
31200010211110200211101200101001
41032101101012203003002323
5330104413141420314233
63220043004010105431
7132336046635423400
oct11621210643030273
91603743624350331
10344234222432443
119a757a06439382
1232736a9471b277
1311a101bcbb05a5
14610104d4722a7
1529be4c714527d
hex13914468c30bb

344234222432443 has 12 divisors (see below), whose sum is σ = 400437139746000. Its totient is φ = 295056864808272.

The previous prime is 344234222432431. The next prime is 344234222432449.

344234222432443 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-344234222432443 is a prime.

It is a super-3 number, since 3×3442342224324433 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344234222432393 and 344234222432402.

It is not an unprimeable number, because it can be changed into a prime (344234222432449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1823905 + ... + 26301997.

It is an arithmetic number, because the mean of its divisors is an integer number (33369761645500).

Almost surely, 2344234222432443 is an apocalyptic number.

344234222432443 is a deficient number, since it is larger than the sum of its proper divisors (56202917313557).

344234222432443 is a wasteful number, since it uses less digits than its factorization.

344234222432443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24765106 (or 24765099 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 46.

The spelling of 344234222432443 in words is "three hundred forty-four trillion, two hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-two thousand, four hundred forty-three".

Divisors: 1 7 49 286999 2008993 14062951 24478093 171346651 1199426557 7025188212907 49176317490349 344234222432443