Base | Representation |
---|---|
bin | 111111110101101… |
… | …1110101100111110 |
3 | 12112021202011210100 |
4 | 1333223132230332 |
5 | 13341334320012 |
6 | 552320421530 |
7 | 104040405165 |
oct | 17753365476 |
9 | 5467664710 |
10 | 2142104382 |
11 | 9aa186800 |
12 | 4b94778a6 |
13 | 281a404b2 |
14 | 1646ca3dc |
15 | c80d28dc |
hex | 7fadeb3e |
2142104382 has 36 divisors (see below), whose sum is σ = 5101518240. Its totient is φ = 649121880.
The previous prime is 2142104357. The next prime is 2142104387. The reversal of 2142104382 is 2834012412.
2142104382 is a `hidden beast` number, since 2 + 14 + 210 + 438 + 2 = 666.
It is a super-2 number, since 2×21421043822 = 9177222366767203848, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2142104387) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 489582 + ... + 493937.
It is an arithmetic number, because the mean of its divisors is an integer number (141708840).
Almost surely, 22142104382 is an apocalyptic number.
2142104382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
2142104382 is an abundant number, since it is smaller than the sum of its proper divisors (2959413858).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142104382 is a wasteful number, since it uses less digits than its factorization.
2142104382 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 983549 (or 983535 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 2142104382 is about 46282.8735279045. The cubic root of 2142104382 is about 1289.0810076276.
Adding to 2142104382 its reverse (2834012412), we get a palindrome (4976116794).
The spelling of 2142104382 in words is "two billion, one hundred forty-two million, one hundred four thousand, three hundred eighty-two".
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