Base | Representation |
---|---|
bin | 11110110001100101… |
… | …011001001111001000 |
3 | 10011021220101021210002 |
4 | 132301211121033020 |
5 | 1020133300003000 |
6 | 23102534342132 |
7 | 2246602364333 |
oct | 366145311710 |
9 | 104256337702 |
10 | 33044141000 |
11 | 13017613242 |
12 | 64a24ba948 |
13 | 3167c62c70 |
14 | 185686161a |
15 | cd5edb8d5 |
hex | 7b19593c8 |
33044141000 has 128 divisors (see below), whose sum is σ = 88170132960. Its totient is φ = 11483136000.
The previous prime is 33044140979. The next prime is 33044141003. The reversal of 33044141000 is 14144033.
It is a happy number.
It can be written as a sum of positive squares in 16 ways, for example, as 50324836 + 32993816164 = 7094^2 + 181642^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (33044141003) 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, 146240 + ... + 295760.
Almost surely, 233044141000 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 33044141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44085066480).
33044141000 is an abundant number, since it is smaller than the sum of its proper divisors (55125991960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33044141000 is a wasteful number, since it uses less digits than its factorization.
33044141000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149572 (or 149558 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
Adding to 33044141000 its reverse (14144033), we get a palindrome (33058285033).
The spelling of 33044141000 in words is "thirty-three billion, forty-four million, one hundred forty-one thousand".
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