Search a number
-
+
344022314441 = 13294392078647
BaseRepresentation
bin1010000000110010101…
…00111110110111001001
31012212222111200022100112
411000121110332313021
521114024203030231
6422013000044105
733566123265401
oct5003124766711
91185874608315
10344022314441
1112299869a753
1256810463635
1326597316590
14129179d1801
158e3737792b
hex501953edc9

344022314441 has 16 divisors (see below), whose sum is σ = 384134150400. Its totient is φ = 305910174528.

The previous prime is 344022314431. The next prime is 344022314483. The reversal of 344022314441 is 144413220443.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344022314441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344022314398 and 344022314407.

It is not an unprimeable number, because it can be changed into a prime (344022314401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873821 + ... + 1204826.

It is an arithmetic number, because the mean of its divisors is an integer number (24008384400).

Almost surely, 2344022314441 is an apocalyptic number.

It is an amenable number.

344022314441 is a deficient number, since it is larger than the sum of its proper divisors (40111835959).

344022314441 is a wasteful number, since it uses less digits than its factorization.

344022314441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079128.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 344022314441 its reverse (144413220443), we get a palindrome (488435534884).

The spelling of 344022314441 in words is "three hundred forty-four billion, twenty-two million, three hundred fourteen thousand, four hundred forty-one".

Divisors: 1 13 29 377 439 5707 12731 165503 2078647 27022411 60280763 783649919 912526033 11862838429 26463254957 344022314441