Base | Representation |
---|---|
bin | 1100000000000001111… |
… | …01100100010101100110 |
3 | 1110102022012021200112000 |
4 | 12000000331210111212 |
5 | 23223424222000123 |
6 | 513231223110130 |
7 | 41534665446231 |
oct | 6000075442546 |
9 | 1412265250460 |
10 | 412333000038 |
11 | 149962257913 |
12 | 67ab55a2346 |
13 | 2cb627862bb |
14 | 15d58104418 |
15 | aad44e5b43 |
hex | 6000f64566 |
412333000038 has 64 divisors (see below), whose sum is σ = 939988869120. Its totient is φ = 133916573376.
The previous prime is 412333000021. The next prime is 412333000039. The reversal of 412333000038 is 830000333214.
It is a super-3 number, since 3×4123330000383 (a number of 36 digits) contains 333 as substring.
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 = 412332999975 and 412333000020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (412333000039) 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, 201706 + ... + 930242.
It is an arithmetic number, because the mean of its divisors is an integer number (14687326080).
Almost surely, 2412333000038 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 412333000038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469994434560).
412333000038 is an abundant number, since it is smaller than the sum of its proper divisors (527655869082).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
412333000038 is a wasteful number, since it uses less digits than its factorization.
412333000038 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 728818 (or 728812 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
The spelling of 412333000038 in words is "four hundred twelve billion, three hundred thirty-three million, thirty-eight", and thus it is an aban number.
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