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4241322413441 = 53317601420041
BaseRepresentation
bin111101101110000010100…
…001000000110110000001
3120000110121001101111010122
4331232002201000312001
51023442212014212231
613004234150510025
7615265631451521
oct75560241006601
916013531344118
104241322413441
111395809a27683
12585bb6365315
13249c55151c09
141093d14a5681
15754d708277b
hex3db82840d81

4241322413441 has 16 divisors (see below), whose sum is σ = 4342202656848. Its totient is φ = 4141258368000.

The previous prime is 4241322413413. The next prime is 4241322413539. The reversal of 4241322413441 is 1443142231424.

It can be written as a sum of positive squares in 8 ways, for example, as 10628785216 + 4230693628225 = 103096^2 + 2056865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4241322413441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4241322443441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9887381 + ... + 10307421.

It is an arithmetic number, because the mean of its divisors is an integer number (271387666053).

Almost surely, 24241322413441 is an apocalyptic number.

It is an amenable number.

4241322413441 is a deficient number, since it is larger than the sum of its proper divisors (100880243407).

4241322413441 is a wasteful number, since it uses less digits than its factorization.

4241322413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421012.

The product of its digits is 73728, while the sum is 35.

Adding to 4241322413441 its reverse (1443142231424), we get a palindrome (5684464644865).

The spelling of 4241322413441 in words is "four trillion, two hundred forty-one billion, three hundred twenty-two million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 53 317 601 16801 31853 190517 420041 10097401 22262173 133152997 252444641 7057108841 13379565973 80024951197 4241322413441