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441138246610041 = 3249015360734449
BaseRepresentation
bin110010001001101101000000…
…0011111000110110001111001
32010211221101220212222222211200
41210103122000133012301321
5430310102112113010131
64202120040210244413
7161630120663365341
oct14423320037066171
92124841825888750
10441138246610041
11118618752840992
124158766a286709
1315c1c209622386
147ad12c2975d21
1536000413d52e6
hex19136807c6c79

441138246610041 has 6 divisors (see below), whose sum is σ = 637199689547850. Its totient is φ = 294092164406688.

The previous prime is 441138246610031. The next prime is 441138246610063. The reversal of 441138246610041 is 140016642831144.

441138246610041 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 3 + 8 + 24 + 6 + 610 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 436382532432441 + 4755714177600 = 20889771^2 + 2180760^2 .

It is not a de Polignac number, because 441138246610041 - 213 = 441138246601849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441138246610001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24507680367216 + ... + 24507680367233.

It is an arithmetic number, because the mean of its divisors is an integer number (106199948257975).

Almost surely, 2441138246610041 is an apocalyptic number.

It is an amenable number.

441138246610041 is a deficient number, since it is larger than the sum of its proper divisors (196061442937809).

441138246610041 is a wasteful number, since it uses less digits than its factorization.

441138246610041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49015360734455 (or 49015360734452 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 441138246610041 in words is "four hundred forty-one trillion, one hundred thirty-eight billion, two hundred forty-six million, six hundred ten thousand, forty-one".

Divisors: 1 3 9 49015360734449 147046082203347 441138246610041