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344455554443 = 71113283318917
BaseRepresentation
bin1010000001100110010…
…01101010010110001011
31012221002200220011220112
411000303021222112023
521120421110220233
6422123553544535
733612633621650
oct5006311522613
91187080804815
10344455554443
111230a01a9340
125691157514b
1326635cc5800
1412959369c27
158e60405048
hex503326a58b

344455554443 has 48 divisors (see below), whose sum is σ = 470631119616. Its totient is φ = 244774408320.

The previous prime is 344455554413. The next prime is 344455554449.

344455554443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344455554443 - 26 = 344455554379 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344455554391 and 344455554400.

It is not an unprimeable number, because it can be changed into a prime (344455554449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920621 + ... + 1239537.

It is an arithmetic number, because the mean of its divisors is an integer number (9804814992).

Almost surely, 2344455554443 is an apocalyptic number.

344455554443 is a deficient number, since it is larger than the sum of its proper divisors (126175565173).

344455554443 is a wasteful number, since it uses less digits than its factorization.

344455554443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319044 (or 319031 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 50.

It can be divided in two parts, 344455 and 554443, that added together give a palindrome (898898).

The spelling of 344455554443 in words is "three hundred forty-four billion, four hundred fifty-five million, five hundred fifty-four thousand, four hundred forty-three".

Divisors: 1 7 11 13 77 83 91 143 169 581 913 1001 1079 1183 1859 6391 7553 11869 13013 14027 83083 98189 154297 318917 1080079 2232419 3508087 4145921 24556609 26470111 29021447 45605131 53896973 185290777 291171221 319235917 344111443 377278811 592866703 2038198547 2408780101 3785225873 4150066921 4473448759 26496581111 31314141313 49207936349 344455554443