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2142143140 = 225172370613
BaseRepresentation
bin111111110101110…
…1000001010100100
312112021211010221211
41333223220022210
513341342040030
6552321321204
7104040626164
oct17753501244
95467733854
102142143140
119aa202935
124b9496204
13281a55027
141646da5a4
15c80de12a
hex7fae82a4

2142143140 has 36 divisors (see below), whose sum is σ = 4778696916. Its totient is φ = 806451712.

The previous prime is 2142143137. The next prime is 2142143177. The reversal of 2142143140 is 413412412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5484964 + 2136658176 = 2342^2 + 46224^2 .

It is an unprimeable number.

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, 179527 + ... + 191086.

It is an arithmetic number, because the mean of its divisors is an integer number (132741581).

Almost surely, 22142143140 is an apocalyptic number.

2142143140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142143140 is an abundant number, since it is smaller than the sum of its proper divisors (2636553776).

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

2142143140 is a wasteful number, since it uses less digits than its factorization.

2142143140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370656 (or 370637 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2142143140 is about 46283.2922338072. The cubic root of 2142143140 is about 1289.0887822099.

Adding to 2142143140 its reverse (413412412), we get a palindrome (2555555552).

The spelling of 2142143140 in words is "two billion, one hundred forty-two million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 370613 741226 1482452 1853065 3706130 6300421 7412260 12600842 25201684 31502105 63004210 107107157 126008420 214214314 428428628 535535785 1071071570 2142143140