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444301353009 = 345485201889
BaseRepresentation
bin1100111011100100110…
…11001010000000110001
31120110211010101021120000
412131302123022000301
524234412121244014
6540035331540213
744046126121413
oct6356233120061
91513733337500
10444301353009
11161477592638
127213775a669
1332b88894ba7
141770bb2a9b3
15b855d30509
hex67726ca031

444301353009 has 10 divisors (see below), whose sum is σ = 663709428690. Its totient is φ = 296200901952.

The previous prime is 444301352987. The next prime is 444301353143. The reversal of 444301353009 is 900353103444.

444301353009 is a `hidden beast` number, since 4 + 44 + 301 + 3 + 5 + 300 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 381849843600 + 62451509409 = 617940^2 + 249903^2 .

It is not a de Polignac number, because 444301353009 - 25 = 444301352977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444301352009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2742600864 + ... + 2742601025.

It is an arithmetic number, because the mean of its divisors is an integer number (66370942869).

Almost surely, 2444301353009 is an apocalyptic number.

It is an amenable number.

444301353009 is a deficient number, since it is larger than the sum of its proper divisors (219408075681).

444301353009 is an equidigital number, since it uses as much as digits as its factorization.

444301353009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485201901 (or 5485201892 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 444301353009 in words is "four hundred forty-four billion, three hundred one million, three hundred fifty-three thousand, nine".

Divisors: 1 3 9 27 81 5485201889 16455605667 49366817001 148100451003 444301353009