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344254101452443 = 71329619210741023
BaseRepresentation
bin100111001000110001110011…
…1011011011111011010011011
31200010220101000020021112021001
41032101203213123133122123
5330110224344432434233
63220100052334325431
7132340352361335050
oct11621434733373233
91603811006245231
10344254101452443
119a765387647326
123273a902059877
1311a1203a4aa210
146101db7665027
1529bec8c46527d
hex13918e76df69b

344254101452443 has 32 divisors (see below), whose sum is σ = 439015701196800. Its totient is φ = 262559710417536.

The previous prime is 344254101452377. The next prime is 344254101452461.

344254101452443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344254101452443 - 213 = 344254101444251 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344254101452393 and 344254101452402.

It is not an unprimeable number, because it can be changed into a prime (344254101452143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103736971 + ... + 107004052.

It is an arithmetic number, because the mean of its divisors is an integer number (13719240662400).

Almost surely, 2344254101452443 is an apocalyptic number.

344254101452443 is a deficient number, since it is larger than the sum of its proper divisors (94761599744357).

344254101452443 is a wasteful number, since it uses less digits than its factorization.

344254101452443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210741691.

The product of its (nonzero) digits is 3686400, while the sum is 46.

It can be divided in two parts, 34425410 and 1452443, that added together give a palindrome (35877853).

The spelling of 344254101452443 in words is "three hundred forty-four trillion, two hundred fifty-four billion, one hundred one million, four hundred fifty-two thousand, four hundred forty-three".

Divisors: 1 7 13 29 91 203 377 619 2639 4333 8047 17951 56329 125657 233363 1633541 210741023 1475187161 2739633299 6111489667 19177433093 42780427669 79449365671 130448693237 556145559697 913140852659 1695833012081 3783012103873 11870831084567 26481084727111 49179157350349 344254101452443