Base | Representation |
---|---|
bin | 1100111011000110001… |
… | …01011100110001011000 |
3 | 1120110011012010121200112 |
4 | 12131203011130301120 |
5 | 24233400231120230 |
6 | 535554020023452 |
7 | 44036552522141 |
oct | 6354305346130 |
9 | 1513135117615 |
10 | 444044004440 |
11 | 16135529a873 |
12 | 72085531b88 |
13 | 32b4747b72a |
14 | 176c589aac8 |
15 | b83d448d95 |
hex | 676315cc58 |
444044004440 has 32 divisors (see below), whose sum is σ = 999124850160. Its totient is φ = 177613008000.
The previous prime is 444044004431. The next prime is 444044004451. The reversal of 444044004440 is 44400440444.
It is a super-2 number, since 2×4440440044402 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 444044004397 and 444044004406.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 1721510 + ... + 1962570.
Almost surely, 2444044004440 is an apocalyptic number.
444044004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
444044004440 is an abundant number, since it is smaller than the sum of its proper divisors (555080845720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444044004440 is a wasteful number, since it uses less digits than its factorization.
444044004440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 287123 (or 287119 counting only the distinct ones).
The product of its (nonzero) digits is 65536, while the sum is 32.
Adding to 444044004440 its reverse (44400440444), we get a palindrome (488444444884).
The spelling of 444044004440 in words is "four hundred forty-four billion, forty-four million, four thousand, four hundred forty".
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