Search a number
-
+
344541145443 = 311219471062877
BaseRepresentation
bin1010000001110000100…
…00001010100101100011
31012221022122221122200120
411000320100022211203
521121110013123233
6422140252251323
733615023262255
oct5007020124543
91187278848616
10344541145443
11123134549100
1256936170b43
132664a962981
1412966889cd5
158e67bb04b3
hex503840a963

344541145443 has 48 divisors (see below), whose sum is σ = 542833052160. Its totient is φ = 193613492160.

The previous prime is 344541145427. The next prime is 344541145453.

344541145443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344541145443 - 24 = 344541145427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344541145395 and 344541145404.

It is not an unprimeable number, because it can be changed into a prime (344541145453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207280 + ... + 855597.

It is an arithmetic number, because the mean of its divisors is an integer number (11309021920).

Almost surely, 2344541145443 is an apocalyptic number.

344541145443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344541145443 is a deficient number, since it is larger than the sum of its proper divisors (198291906717).

344541145443 is a wasteful number, since it uses less digits than its factorization.

344541145443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062968 (or 1062957 counting only the distinct ones).

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

It can be divided in two parts, 344541 and 145443, that added together give a palindrome (489984).

The spelling of 344541145443 in words is "three hundred forty-four billion, five hundred forty-one million, one hundred forty-five thousand, four hundred forty-three".

Divisors: 1 3 11 19 33 47 57 121 141 209 363 517 627 893 1551 2299 2679 5687 6897 9823 17061 29469 108053 324159 1062877 3188631 11691647 20194663 35074941 49955219 60583989 128608117 149865657 222141293 385824351 549507409 666423879 949149161 1648522227 2443554223 2847447483 6044581499 7330662669 10440640771 18133744497 31321922313 114847048481 344541145443