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2140204561 = 112149118709
BaseRepresentation
bin111111110010000…
…1110111000010001
312112011011122201121
41333210032320101
513340343021221
6552212002241
7104015303305
oct17744167021
95464148647
102140204561
119a90a9400
124b8900381
13281526841
14164353d05
15c7d59a41
hex7f90ee11

2140204561 has 12 divisors (see below), whose sum is σ = 2368264500. Its totient is φ = 1932566240.

The previous prime is 2140204543. The next prime is 2140204571. The reversal of 2140204561 is 1654020412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 351337536 + 1788867025 = 18744^2 + 42295^2 .

It is not a de Polignac number, because 2140204561 - 25 = 2140204529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2140204571) 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 11 ways as a sum of consecutive naturals, for example, 41326 + ... + 77383.

It is an arithmetic number, because the mean of its divisors is an integer number (197355375).

Almost surely, 22140204561 is an apocalyptic number.

It is an amenable number.

2140204561 is a deficient number, since it is larger than the sum of its proper divisors (228059939).

2140204561 is a wasteful number, since it uses less digits than its factorization.

2140204561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118880 (or 118869 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2140204561 is about 46262.3449578596. The cubic root of 2140204561 is about 1288.6998018758.

Adding to 2140204561 its reverse (1654020412), we get a palindrome (3794224973).

The spelling of 2140204561 in words is "two billion, one hundred forty million, two hundred four thousand, five hundred sixty-one".

Divisors: 1 11 121 149 1639 18029 118709 1305799 14363789 17687641 194564051 2140204561