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2140124040 = 233255944789
BaseRepresentation
bin111111110001111…
…1011001110001000
312112011000120021100
41333203323032020
513340332432130
6552210141400
7104014516455
oct17743731610
95464016240
102140124040
119a905395a
124b8881860
132814c8cb2
1416433282c
15c7d40c60
hex7f8fb388

2140124040 has 48 divisors (see below), whose sum is σ = 6955404300. Its totient is φ = 570699648.

The previous prime is 2140124023. The next prime is 2140124083. The reversal of 2140124040 is 404210412.

2140124040 is a `hidden beast` number, since 21 + 401 + 240 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1988981604 + 151142436 = 44598^2 + 12294^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2972035 + ... + 2972754.

Almost surely, 22140124040 is an apocalyptic number.

2140124040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140124040 is an abundant number, since it is smaller than the sum of its proper divisors (4815280260).

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

2140124040 is a wasteful number, since it uses less digits than its factorization.

2140124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944806 (or 5944799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2140124040 is about 46261.4746846661. The cubic root of 2140124040 is about 1288.6836400720.

Adding to 2140124040 its reverse (404210412), we get a palindrome (2544334452).

The spelling of 2140124040 in words is "two billion, one hundred forty million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5944789 11889578 17834367 23779156 29723945 35668734 47558312 53503101 59447890 71337468 89171835 107006202 118895780 142674936 178343670 214012404 237791560 267515505 356687340 428024808 535031010 713374680 1070062020 2140124040