| Base | Representation |
|---|---|
| bin | 101001000101001110… |
| … | …101010010001000000 |
| 3 | 11012212011220021212002 |
| 4 | 221011032222101000 |
| 5 | 1210314423102000 |
| 6 | 32133034523132 |
| 7 | 3121054352240 |
| oct | 510516522100 |
| 9 | 135764807762 |
| 10 | 44111144000 |
| 11 | 17786655410 |
| 12 | 86708964a8 |
| 13 | 420ca19c51 |
| 14 | 21c65b3b20 |
| 15 | 12328b38d5 |
| hex | a453aa440 |
44111144000 has 448 divisors, whose sum is σ = 137739363840. Its totient is φ = 13593600000.
The previous prime is 44111143981. The next prime is 44111144017. The reversal of 44111144000 is 44111144.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-4 number, since 4×441111440004 (a number of 44 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a zygodrome in base 10.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62215646 + ... + 62216354.
Almost surely, 244111144000 is an apocalyptic number.
44111144000 is a gapful number since it is divisible by the number (40) 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 44111144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68869681920).
44111144000 is an abundant number, since it is smaller than the sum of its proper divisors (93628219840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44111144000 is a wasteful number, since it uses less digits than its factorization.
44111144000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 855 (or 835 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
Adding to 44111144000 its reverse (44111144), we get a palindrome (44155255144).
44111144000 divided by its reverse (44111144) gives a cube (1000 = 103).
It can be divided in two parts, 4411 and 1144000, that added together give a palindrome (1148411).
The spelling of 44111144000 in words is "forty-four billion, one hundred eleven million, one hundred forty-four thousand".
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