Base | Representation |
---|---|
bin | 111111110101111… |
… | …1000111010011111 |
3 | 12112021221122001200 |
4 | 1333223320322133 |
5 | 13341401233433 |
6 | 552323010543 |
7 | 104041333200 |
oct | 17753707237 |
9 | 5467848050 |
10 | 2142211743 |
11 | 9aa24a431 |
12 | 4b9509a53 |
13 | 281a7a319 |
14 | 1647175a7 |
15 | c8104613 |
hex | 7faf8e9f |
2142211743 has 72 divisors (see below), whose sum is σ = 3787849728. Its totient is φ = 1160980128.
The previous prime is 2142211741. The next prime is 2142211763. The reversal of 2142211743 is 3471122412.
It is not a de Polignac number, because 2142211743 - 21 = 2142211741 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2142211741) 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 71 ways as a sum of consecutive naturals, for example, 1287330 + ... + 1288992.
It is an arithmetic number, because the mean of its divisors is an integer number (52609024).
Almost surely, 22142211743 is an apocalyptic number.
2142211743 is a gapful number since it is divisible by the number (23) formed by its first and last digit.
2142211743 is a deficient number, since it is larger than the sum of its proper divisors (1645637985).
2142211743 is a wasteful number, since it uses less digits than its factorization.
2142211743 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1833 (or 1823 counting only the distinct ones).
The product of its digits is 2688, while the sum is 27.
The square root of 2142211743 is about 46284.0333484453. The cubic root of 2142211743 is about 1289.1025432594.
The spelling of 2142211743 in words is "two billion, one hundred forty-two million, two hundred eleven thousand, seven hundred forty-three".
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