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344145541443 = 311173071998209
BaseRepresentation
bin1010000001000001010…
…11000011100101000011
31012220022002112220000120
411000200223003211003
521114302224311233
6422033121151323
733602150556654
oct5004053034503
91186262486016
10344145541443
11122a51205a50
125684578b543
13265b6a00272
141292a10b52b
158e430b94b3
hex5020ac3943

344145541443 has 32 divisors (see below), whose sum is σ = 531747659520. Its totient is φ = 195664527360.

The previous prime is 344145541423. The next prime is 344145541471.

344145541443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344145541443 - 26 = 344145541379 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344145541395 and 344145541404.

It is not an unprimeable number, because it can be changed into a prime (344145541423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826878 + ... + 1171331.

It is an arithmetic number, because the mean of its divisors is an integer number (16617114360).

Almost surely, 2344145541443 is an apocalyptic number.

344145541443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344145541443 is a deficient number, since it is larger than the sum of its proper divisors (187602118077).

344145541443 is a wasteful number, since it uses less digits than its factorization.

344145541443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998547.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 344145 and 541443, that added together give a palindrome (885588).

The spelling of 344145541443 in words is "three hundred forty-four billion, one hundred forty-five million, five hundred forty-one thousand, four hundred forty-three".

Divisors: 1 3 11 17 33 51 187 307 561 921 3377 5219 10131 15657 57409 172227 1998209 5994627 21980299 33969553 65940897 101908659 373665083 613450163 1120995249 1840350489 6747951793 10428652771 20243855379 31285958313 114715180481 344145541443