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2040142965 = 35767289999
BaseRepresentation
bin111100110011010…
…0001110001110101
312021011220000000120
41321212201301311
513134234033330
6534235202153
7101361633450
oct17146416165
95234800016
102040142965
11957675673
1248b2a6359
13266890cb3
14154d48497
15be191c10
hex799a1c75

2040142965 has 32 divisors (see below), whose sum is σ = 3786240000. Its totient is φ = 918713664.

The previous prime is 2040142931. The next prime is 2040142967. The reversal of 2040142965 is 5692410402.

It is not a de Polignac number, because 2040142965 - 26 = 2040142901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040142967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137965 + ... + 152034.

It is an arithmetic number, because the mean of its divisors is an integer number (118320000).

Almost surely, 22040142965 is an apocalyptic number.

It is an amenable number.

2040142965 is a deficient number, since it is larger than the sum of its proper divisors (1746097035).

2040142965 is a wasteful number, since it uses less digits than its factorization.

2040142965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290081.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2040142965 is about 45167.9417839689. The cubic root of 2040142965 is about 1268.2947674316.

The spelling of 2040142965 in words is "two billion, forty million, one hundred forty-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 67 105 201 335 469 1005 1407 2345 7035 289999 869997 1449995 2029993 4349985 6089979 10149965 19429933 30449895 58289799 97149665 136009531 291448995 408028593 680047655 2040142965