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1041142644 = 223273396173
BaseRepresentation
bin111110000011101…
…001001101110100
32200120002112012200
4332003221031310
54113013031034
6251151144500
734541365203
oct7603511564
92616075180
101041142644
11494774973
12250815130
13137913b49
149c3bb23a
156160ba99
hex3e0e9374

1041142644 has 36 divisors (see below), whose sum is σ = 2667835716. Its totient is φ = 342292608.

The previous prime is 1041142631. The next prime is 1041142673. The reversal of 1041142644 is 4462411401.

1041142644 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 14 + 2 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219632400 + 821510244 = 14820^2 + 28662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195459 + ... + 200714.

Almost surely, 21041142644 is an apocalyptic number.

It is an amenable number.

1041142644 is an abundant number, since it is smaller than the sum of its proper divisors (1626693072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1041142644 is a wasteful number, since it uses less digits than its factorization.

1041142644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396256 (or 396251 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1041142644 is about 32266.7420729146. The cubic root of 1041142644 is about 1013.5303194589.

The spelling of 1041142644 in words is "one billion, forty-one million, one hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 396173 792346 1188519 1584692 2377038 3565557 4754076 7131114 14262228 28920629 57841258 86761887 115682516 173523774 260285661 347047548 520571322 1041142644