Base | Representation |
---|---|
bin | 100000010101100011011… |
… | …1001110101000000000010 |
3 | 120201212121020001121102100 |
4 | 1000223012321311000002 |
5 | 1040303443301412010 |
6 | 13241410513131230 |
7 | 636043502110551 |
oct | 100530671650002 |
9 | 16655536047370 |
10 | 4444333232130 |
11 | 1463916278490 |
12 | 5b9412259b16 |
13 | 2631391729bc |
14 | 11516d3a7d98 |
15 | 7a9199d62c0 |
hex | 40ac6e75002 |
4444333232130 has 96 divisors (see below), whose sum is σ = 12611785380480. Its totient is φ = 1076897859840.
The previous prime is 4444333232083. The next prime is 4444333232153. The reversal of 4444333232130 is 312323334444.
4444333232130 is a `hidden beast` number, since 4 + 4 + 4 + 433 + 3 + 2 + 3 + 213 + 0 = 666.
It is a super-4 number, since 4×44443332321304 (a number of 52 digits) contains 4444 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993619 + ... + 3142601.
It is an arithmetic number, because the mean of its divisors is an integer number (131372764380).
Almost surely, 24444333232130 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4444333232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305892690240).
4444333232130 is an abundant number, since it is smaller than the sum of its proper divisors (8167452148350).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4444333232130 is a wasteful number, since it uses less digits than its factorization.
4444333232130 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2151096 (or 2151093 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 36.
Adding to 4444333232130 its reverse (312323334444), we get a palindrome (4756656566574).
The spelling of 4444333232130 in words is "four trillion, four hundred forty-four billion, three hundred thirty-three million, two hundred thirty-two thousand, one hundred thirty".
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