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1004144805 = 32522314329
BaseRepresentation
bin111011110110100…
…000100010100101
32120222110211201100
4323312200202211
54024030113210
6243350150313
733612042606
oct7366404245
92528424640
101004144805
114758a4944
12240352399
1313005b931
1497509dad
155d24e5c0
hex3bda08a5

1004144805 has 12 divisors (see below), whose sum is σ = 1740517740. Its totient is φ = 535543872.

The previous prime is 1004144773. The next prime is 1004144809. The reversal of 1004144805 is 5084414001.

It is a happy number.

1004144805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 224730081 + 779414724 = 14991^2 + 27918^2 .

It is not a de Polignac number, because 1004144805 - 25 = 1004144773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004144809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11157120 + ... + 11157209.

It is an arithmetic number, because the mean of its divisors is an integer number (145043145).

Almost surely, 21004144805 is an apocalyptic number.

1004144805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1004144805 is a deficient number, since it is larger than the sum of its proper divisors (736372935).

1004144805 is a wasteful number, since it uses less digits than its factorization.

1004144805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22314340 (or 22314337 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1004144805 is about 31688.2439557638. The cubic root of 1004144805 is about 1001.3796972268.

Adding to 1004144805 its reverse (5084414001), we get a palindrome (6088558806).

The spelling of 1004144805 in words is "one billion, four million, one hundred forty-four thousand, eight hundred five".

Divisors: 1 3 5 9 15 45 22314329 66942987 111571645 200828961 334714935 1004144805