Base | Representation |
---|---|
bin | 1101100001100000110… |
… | …0011010101111001000 |
3 | 211012200202200022022100 |
4 | 3120120030122233020 |
5 | 12301310020024113 |
6 | 254422142553400 |
7 | 22533312424524 |
oct | 3303014325710 |
9 | 735622608270 |
10 | 232334142408 |
11 | 8a594625a45 |
12 | 39040298860 |
13 | 18ba8151a14 |
14 | b360524d84 |
15 | 609be65d73 |
hex | 361831abc8 |
232334142408 has 96 divisors (see below), whose sum is σ = 651551355000. Its totient is φ = 74703541248.
The previous prime is 232334142371. The next prime is 232334142433. The reversal of 232334142408 is 804241433232.
232334142408 is a `hidden beast` number, since 2 + 3 + 233 + 4 + 14 + 2 + 408 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 223954204644 + 8379937764 = 473238^2 + 91542^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
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 23 ways as a sum of consecutive naturals, for example, 2180028 + ... + 2284116.
Almost surely, 2232334142408 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232334142408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325775677500).
232334142408 is an abundant number, since it is smaller than the sum of its proper divisors (419217212592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232334142408 is a wasteful number, since it uses less digits than its factorization.
232334142408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 105199 (or 105192 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
The spelling of 232334142408 in words is "two hundred thirty-two billion, three hundred thirty-four million, one hundred forty-two thousand, four hundred eight".
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