Search a number
-
+
1344252411441 = 322943376131847
BaseRepresentation
bin10011100011111011101…
…011111111111000110001
311202111202021001212120200
4103203323223333320301
5134011012104131231
62505312510225413
7166055553653232
oct23437353777061
94674667055520
101344252411441
11479104494955
121986374b5269
13999bb176594
14490c2813089
1524e78de0be6
hex138fbaffe31

1344252411441 has 48 divisors (see below), whose sum is σ = 2055976940160. Its totient is φ = 844892213760.

The previous prime is 1344252411433. The next prime is 1344252411457. The reversal of 1344252411441 is 1441142524431.

1344252411441 is a `hidden beast` number, since 1 + 344 + 25 + 241 + 14 + 41 = 666.

It is not a de Polignac number, because 1344252411441 - 23 = 1344252411433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1344252411396 and 1344252411405.

It is not an unprimeable number, because it can be changed into a prime (1344252411241) 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, 42193780 + ... + 42225626.

It is an arithmetic number, because the mean of its divisors is an integer number (42832852920).

Almost surely, 21344252411441 is an apocalyptic number.

It is an amenable number.

1344252411441 is a deficient number, since it is larger than the sum of its proper divisors (711724528719).

1344252411441 is a wasteful number, since it uses less digits than its factorization.

1344252411441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35686 (or 35683 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 1344252411441 its reverse (1441142524431), we get a palindrome (2785394935872).

The spelling of 1344252411441 in words is "one trillion, three hundred forty-four billion, two hundred fifty-two million, four hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 29 43 87 129 261 387 1247 3741 3761 11223 11283 31847 33849 95541 109069 161723 286623 327207 485169 923563 981621 1369421 1455507 2770689 4108263 4689967 8312067 12324789 14069901 39713209 42209703 119139627 119776567 357418881 359329701 1077989103 3473520443 5150392381 10420561329 15451177143 31261683987 46353531429 149361379049 448084137147 1344252411441