Base | Representation |
---|---|
bin | 101010110111101011… |
… | …001100011001001100 |
3 | 11101210222212120210200 |
4 | 222313223030121030 |
5 | 1223232443221234 |
6 | 33051344533500 |
7 | 3216460653240 |
oct | 526753143114 |
9 | 141728776720 |
10 | 46031226444 |
11 | 18581477805 |
12 | 8b07921290 |
13 | 44577625c8 |
14 | 23295c8420 |
15 | 12e623bd99 |
hex | ab7acc64c |
46031226444 has 72 divisors (see below), whose sum is σ = 133181368320. Its totient is φ = 13131774432.
The previous prime is 46031226431. The next prime is 46031226457. The reversal of 46031226444 is 44462213064.
46031226444 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 1 + 2 + 2 + 644 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (46031226431) and next prime (46031226457).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 46031226399 and 46031226408.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27477 + ... + 304659.
Almost surely, 246031226444 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 46031226444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66590684160).
46031226444 is an abundant number, since it is smaller than the sum of its proper divisors (87150141876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46031226444 is a wasteful number, since it uses less digits than its factorization.
46031226444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 277859 (or 277854 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
The spelling of 46031226444 in words is "forty-six billion, thirty-one million, two hundred twenty-six thousand, four hundred forty-four".
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