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1424340434241 = 322347211457503
BaseRepresentation
bin10100101110100001010…
…011100011110101000001
312001011110201210222011100
4110232201103203311001
5141314022122343431
63010155530405013
7204622324634124
oct24564123436501
95034421728140
101424340434241
114aa07205184a
121b0068890769
13a44125ba39a
144cd1d1423bb
15270b4e9a4e6
hex14ba14e3d41

1424340434241 has 24 divisors (see below), whose sum is σ = 2147288173056. Its totient is φ = 908082046080.

The previous prime is 1424340434239. The next prime is 1424340434261.

1424340434241 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 404 + 3 + 4 + 241 = 666.

1424340434241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1424340434241 - 21 = 1424340434239 is a prime.

It is a super-2 number, since 2×14243404342412 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1424340434196 and 1424340434205.

It is not an unprimeable number, because it can be changed into a prime (1424340434221) 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 23 ways as a sum of consecutive naturals, for example, 248496 + ... + 1705998.

It is an arithmetic number, because the mean of its divisors is an integer number (89470340544).

Almost surely, 21424340434241 is an apocalyptic number.

It is an amenable number.

1424340434241 is a deficient number, since it is larger than the sum of its proper divisors (722947738815).

1424340434241 is a wasteful number, since it uses less digits than its factorization.

1424340434241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462253 (or 1462250 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 1424340 and 434241, that added together give a palindrome (1858581).

The spelling of 1424340434241 in words is "one trillion, four hundred twenty-four billion, three hundred forty million, four hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 9 23 69 207 4721 14163 42489 108583 325749 977247 1457503 4372509 13117527 33522569 100567707 301703121 6880871663 20642614989 61927844967 158260048249 474780144747 1424340434241