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2143040040 = 233255952889
BaseRepresentation
bin111111110111100…
…0011001000101000
312112100111201021100
41333233003020220
513342104240130
6552352441400
7104051353101
oct17757031050
95470451240
102143040040
119aa765779
124b9849260
13281caa33b
141648913a8
15c8219c60
hex7fbc3228

2143040040 has 48 divisors (see below), whose sum is σ = 6964881300. Its totient is φ = 571477248.

The previous prime is 2143040033. The next prime is 2143040047. The reversal of 2143040040 is 400403412.

It is an interprime number because it is at equal distance from previous prime (2143040033) and next prime (2143040047).

It can be written as a sum of positive squares in 2 ways, for example, as 1821411684 + 321628356 = 42678^2 + 17934^2 .

It is a super-2 number, since 2×21430400402 = 9185241226086403200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2143039995 and 2143040022.

It is not an unprimeable number, because it can be changed into a prime (2143040047) 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, 2976085 + ... + 2976804.

Almost surely, 22143040040 is an apocalyptic number.

2143040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2143040040 is an abundant number, since it is smaller than the sum of its proper divisors (4821841260).

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

2143040040 is a wasteful number, since it uses less digits than its factorization.

2143040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952906 (or 5952899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2143040040 is about 46292.9804614047. The cubic root of 2143040040 is about 1289.2686678554.

Adding to 2143040040 its reverse (400403412), we get a palindrome (2543443452).

The spelling of 2143040040 in words is "two billion, one hundred forty-three million, forty 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 5952889 11905778 17858667 23811556 29764445 35717334 47623112 53576001 59528890 71434668 89293335 107152002 119057780 142869336 178586670 214304004 238115560 267880005 357173340 428608008 535760010 714346680 1071520020 2143040040