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441007401105 = 32551071918967
BaseRepresentation
bin1100110101011100001…
…01101110100010010001
31120011022120020012000100
412122232011232202101
524211140343313410
6534332423043013
743601401026165
oct6325605564221
91504276205010
10441007401105
111600371a9837
12715785a0469
133278231c71b
14174b8486ca5
15b711a748c0
hex66ae16e891

441007401105 has 24 divisors (see below), whose sum is σ = 764562906432. Its totient is φ = 235157769504.

The previous prime is 441007401101. The next prime is 441007401151. The reversal of 441007401105 is 501104700144.

It is not a de Polignac number, because 441007401105 - 22 = 441007401101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441007401101) 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, 729669 + ... + 1189298.

It is an arithmetic number, because the mean of its divisors is an integer number (31856787768).

Almost surely, 2441007401105 is an apocalyptic number.

441007401105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441007401105 is a deficient number, since it is larger than the sum of its proper divisors (323555505327).

441007401105 is a wasteful number, since it uses less digits than its factorization.

441007401105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924085 (or 1924082 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 441007401105 in words is "four hundred forty-one billion, seven million, four hundred one thousand, one hundred five".

Divisors: 1 3 5 9 15 45 5107 15321 25535 45963 76605 229815 1918967 5756901 9594835 17270703 28784505 86353515 9800164469 29400493407 49000822345 88201480221 147002467035 441007401105