Base | Representation |
---|---|
bin | 10011011101000001… |
… | …01101011011010000 |
3 | 222221212020022202211 |
4 | 21232200231123100 |
5 | 132342131044044 |
6 | 4444203121504 |
7 | 516545363260 |
oct | 115640553320 |
9 | 28855208684 |
10 | 10444003024 |
11 | 447a405064 |
12 | 2035813294 |
13 | ca5997660 |
14 | 7110dd7a0 |
15 | 411d64634 |
hex | 26e82d6d0 |
10444003024 has 160 divisors (see below), whose sum is σ = 26693291520. Its totient is φ = 3844786176.
The previous prime is 10444002983. The next prime is 10444003039. The reversal of 10444003024 is 42030044401.
It is a super-2 number, since 2×104440030242 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10444002986 and 10444003004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234842 + ... + 1243270.
It is an arithmetic number, because the mean of its divisors is an integer number (166833072).
Almost surely, 210444003024 is an apocalyptic number.
10444003024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10444003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346645760).
10444003024 is an abundant number, since it is smaller than the sum of its proper divisors (16249288496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10444003024 is a wasteful number, since it uses less digits than its factorization.
10444003024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8517 (or 8511 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
Adding to 10444003024 its reverse (42030044401), we get a palindrome (52474047425).
The spelling of 10444003024 in words is "ten billion, four hundred forty-four million, three thousand, twenty-four".
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