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411104404001 = 13724049124777
BaseRepresentation
bin1011111101101111011…
…10110110001000100001
31110022010120110112121002
411332313232312020201
523213420211412001
6512505254041345
741462356530464
oct5766756661041
91408116415532
10411104404001
1114939179a495
1267812049255
132c9c808bbb5
1415c7cc8d2db
15aa6170c46b
hex5fb7bb6221

411104404001 has 8 divisors (see below), whose sum is σ = 414125704200. Its totient is φ = 408083401728.

The previous prime is 411104403971. The next prime is 411104404013. The reversal of 411104404001 is 100404401114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98344960000 + 312759444001 = 313600^2 + 559249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 411104404001 - 230 = 410030662177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411104406001) 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 7 ways as a sum of consecutive naturals, for example, 3232325 + ... + 3357101.

It is an arithmetic number, because the mean of its divisors is an integer number (51765713025).

Almost surely, 2411104404001 is an apocalyptic number.

It is an amenable number.

411104404001 is a deficient number, since it is larger than the sum of its proper divisors (3021300199).

411104404001 is a wasteful number, since it uses less digits than its factorization.

411104404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148963.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 411104404001 its reverse (100404401114), we get a palindrome (511508805115).

The spelling of 411104404001 in words is "four hundred eleven billion, one hundred four million, four hundred four thousand, one".

Divisors: 1 137 24049 124777 3294713 17094449 3000762073 411104404001