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2240142465 = 3511194431613
BaseRepresentation
bin1000010110000101…
…1101110010000001
312210010020000202110
42011201131302001
514041434024330
61010142005533
7106340616411
oct20541356201
95703200673
102240142465
11a4a558210
125262768a9
13299147cb2
1417372a641
15d19eadb0
hex8585dc81

2240142465 has 64 divisors (see below), whose sum is σ = 4127708160. Its totient is φ = 1026005760.

The previous prime is 2240142451. The next prime is 2240142481. The reversal of 2240142465 is 5642410422.

It is not a de Polignac number, because 2240142465 - 25 = 2240142433 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1387999 + ... + 1389611.

It is an arithmetic number, because the mean of its divisors is an integer number (64495440).

Almost surely, 22240142465 is an apocalyptic number.

It is an amenable number.

2240142465 is a deficient number, since it is larger than the sum of its proper divisors (1887565695).

2240142465 is a wasteful number, since it uses less digits than its factorization.

2240142465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094.

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2240142465 is about 47330.1433021283. The cubic root of 2240142465 is about 1308.4542623244.

Adding to 2240142465 its reverse (5642410422), we get a palindrome (7882552887).

The spelling of 2240142465 in words is "two billion, two hundred forty million, one hundred forty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 443 627 1045 1329 1613 2215 3135 4839 4873 6645 8065 8417 14619 17743 24195 24365 25251 30647 42085 53229 73095 88715 91941 92587 126255 153235 266145 277761 337117 459705 462935 714559 1011351 1388805 1685585 2143677 3572795 5056755 7860149 10718385 13576621 23580447 39300745 40729863 67883105 117902235 149342831 203649315 448028493 746714155 2240142465