Search a number
-
+
4334405454349 is a prime number
BaseRepresentation
bin111111000100101110101…
…100101000101000001101
3120100100212011112220022021
4333010232230220220031
51032003330244014344
613115110503250141
7625102415320525
oct77045654505015
916310764486267
104334405454349
111421235976a63
125a0053749951
1325596a911c49
1410db01a24685
1577b33e07b84
hex3f12eb28a0d

4334405454349 has 2 divisors, whose sum is σ = 4334405454350. Its totient is φ = 4334405454348.

The previous prime is 4334405454343. The next prime is 4334405454373. The reversal of 4334405454349 is 9434545044334.

4334405454349 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4182065900100 + 152339554249 = 2045010^2 + 390307^2 .

It is a cyclic number.

It is not a de Polignac number, because 4334405454349 - 23 = 4334405454341 is a prime.

It is a super-2 number, since 2×43344054543492 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4334405454296 and 4334405454305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4334405454341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2167202727174 + 2167202727175.

It is an arithmetic number, because the mean of its divisors is an integer number (2167202727175).

Almost surely, 24334405454349 is an apocalyptic number.

It is an amenable number.

4334405454349 is a deficient number, since it is larger than the sum of its proper divisors (1).

4334405454349 is an equidigital number, since it uses as much as digits as its factorization.

4334405454349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24883200, while the sum is 52.

The spelling of 4334405454349 in words is "four trillion, three hundred thirty-four billion, four hundred five million, four hundred fifty-four thousand, three hundred forty-nine".