Base | Representation |
---|---|
bin | 100010000010011… |
… | …1110010011000000 |
3 | 2221121011110100000 |
4 | 1010010332103000 |
5 | 4314342420212 |
6 | 305200200000 |
7 | 40206103206 |
oct | 10404762300 |
9 | 2847143300 |
10 | 1142154432 |
11 | 536797591 |
12 | 27a609000 |
13 | 152820033 |
14 | ab993076 |
15 | 6a4111dc |
hex | 4413e4c0 |
1142154432 has 126 divisors (see below), whose sum is σ = 3407604564. Its totient is φ = 379313280.
The previous prime is 1142154413. The next prime is 1142154457. The reversal of 1142154432 is 2344512411.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
1142154432 is a `hidden beast` number, since 1 + 1 + 4 + 215 + 443 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 1142154396 and 1142154405.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4214457 + ... + 4214727.
Almost surely, 21142154432 is an apocalyptic number.
1142154432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1142154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703802282).
1142154432 is an abundant number, since it is smaller than the sum of its proper divisors (2265450132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1142154432 is an frugal number, since it uses more digits than its factorization.
1142154432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 569 (or 276 counting only the distinct ones).
The product of its digits is 3840, while the sum is 27.
The square root of 1142154432 is about 33795.7753572839. The cubic root of 1142154432 is about 1045.3015870606.
Multiplying 1142154432 by its sum of digits (27), we get a square (30838169664 = 1756082).
1142154432 divided by its sum of digits (27) gives a square (42302016 = 65042).
Adding to 1142154432 its reverse (2344512411), we get a palindrome (3486666843).
The spelling of 1142154432 in words is "one billion, one hundred forty-two million, one hundred fifty-four thousand, four hundred thirty-two".
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