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2004035132142 = 2324115117983409
BaseRepresentation
bin11101001010011001110…
…011010101101011101110
321002120202122122210122200
4131022121303111223232
5230313230443212032
64132350243522330
7264533600363511
oct35123163255356
97076678583580
102004035132142
117029a765033a
1228448b3893a6
13116c97536a24
146cdd274ad78
15371e239247c
hex1d299cd5aee

2004035132142 has 48 divisors (see below), whose sum is σ = 4477437488160. Its totient is φ = 647402688000.

The previous prime is 2004035132089. The next prime is 2004035132173. The reversal of 2004035132142 is 2412315304002.

2004035132142 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 0 + 3 + 513 + 2 + 142 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8880267 + ... + 9103142.

It is an arithmetic number, because the mean of its divisors is an integer number (93279947670).

Almost surely, 22004035132142 is an apocalyptic number.

2004035132142 is an abundant number, since it is smaller than the sum of its proper divisors (2473402356018).

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

2004035132142 is a wasteful number, since it uses less digits than its factorization.

2004035132142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17983609 (or 17983606 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 2004035132142 in words is "two trillion, four billion, thirty-five million, one hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 151 246 302 369 453 738 906 1359 2718 6191 12382 18573 37146 55719 111438 17983409 35966818 53950227 107900454 161850681 323701362 737319769 1474639538 2211959307 2715494759 4423918614 5430989518 6635877921 8146484277 13271755842 16292968554 24439452831 48878905662 111335285119 222670570238 334005855357 668011710714 1002017566071 2004035132142