Base | Representation |
---|---|
bin | 111111000010111001010… |
… | …001100001110101000110 |
3 | 120100011202212120111110120 |
4 | 333002321101201311012 |
5 | 1031440311431224332 |
6 | 13114143210402410 |
7 | 625002534256620 |
oct | 77027121416506 |
9 | 16304685514416 |
10 | 4332435414342 |
11 | 1420414932822 |
12 | 59b7a3a30406 |
13 | 2557157275b9 |
14 | 10d996127c10 |
15 | 77a6aeb232c |
hex | 3f0b9461d46 |
4332435414342 has 64 divisors (see below), whose sum is σ = 10001487149568. Its totient is φ = 1225493280000.
The previous prime is 4332435414341. The next prime is 4332435414389. The reversal of 4332435414342 is 2434145342334.
4332435414342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 4332435414294 and 4332435414303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4332435414341) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76501617 + ... + 76558227.
It is an arithmetic number, because the mean of its divisors is an integer number (156273236712).
Almost surely, 24332435414342 is an apocalyptic number.
4332435414342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
4332435414342 is an abundant number, since it is smaller than the sum of its proper divisors (5669051735226).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4332435414342 is a wasteful number, since it uses less digits than its factorization.
4332435414342 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74765.
The product of its digits is 1658880, while the sum is 42.
The spelling of 4332435414342 in words is "four trillion, three hundred thirty-two billion, four hundred thirty-five million, four hundred fourteen thousand, three hundred forty-two".
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