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344242464242443 = 13131397509165873
BaseRepresentation
bin100111001000101100011000…
…1110011000011101100001011
31200010212020222012211000020021
41032101120301303003230023
5330110032031321224233
63220050445504441311
7132336461113565104
oct11621306163035413
91603766865730207
10344242464242443
119a7604557561a8
12327385b4919237
1311a10c04559340
1461015d1cc33ab
1529be80a9a7e2d
hex1391631cc3b0b

344242464242443 has 16 divisors (see below), whose sum is σ = 374493536990496. Its totient is φ = 314542309086720.

The previous prime is 344242464242377. The next prime is 344242464242477.

344242464242443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344242464242443 - 29 = 344242464241931 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344242464342443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253906846 + ... + 255259027.

It is an arithmetic number, because the mean of its divisors is an integer number (23405846061906).

Almost surely, 2344242464242443 is an apocalyptic number.

344242464242443 is a deficient number, since it is larger than the sum of its proper divisors (30251072748053).

344242464242443 is a wasteful number, since it uses less digits than its factorization.

344242464242443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509166414.

The product of its digits is 56623104, while the sum is 52.

The spelling of 344242464242443 in words is "three hundred forty-four trillion, two hundred forty-two billion, four hundred sixty-four million, two hundred forty-two thousand, four hundred forty-three".

Divisors: 1 13 131 397 1703 5161 52007 676091 509165873 6619156349 66700729363 202138851581 867109481719 2627805070553 26480189557111 344242464242443