| Base | Representation |
|---|---|
| bin | 1111000100001011… |
| … | …0010011101000000 |
| 3 | 101102211120111222021 |
| 4 | 3301002302131000 |
| 5 | 31240233240000 |
| 6 | 1505141451224 |
| 7 | 202133526040 |
| oct | 36102623500 |
| 9 | 11384514867 |
| 10 | 4044040000 |
| 11 | 1795834120 |
| 12 | 94a410b14 |
| 13 | 4c5aa10a0 |
| 14 | 2a5139720 |
| 15 | 18a07411a |
| hex | f10b2740 |
4044040000 has 560 divisors, whose sum is σ = 13597347456. Its totient is φ = 1152000000.
The previous prime is 4044039977. The next prime is 4044040003. The reversal of 4044040000 is 404404.
It is a tau number, because it is divible by the number of its divisors (560).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4044040003) by changing a digit.
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 79 ways as a sum of consecutive naturals, for example, 40039950 + ... + 40040050.
Almost surely, 24044040000 is an apocalyptic number.
4044040000 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 4044040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798673728).
4044040000 is an abundant number, since it is smaller than the sum of its proper divisors (9553307456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4044040000 is a wasteful number, since it uses less digits than its factorization.
4044040000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 4044040000 is about 63592.7668842927. The cubic root of 4044040000 is about 1593.2055631083.
Adding to 4044040000 its reverse (404404), we get a palindrome (4044444404).
4044040000 divided by its reverse (404404) gives a 4-th power (10000 = 104).
It can be divided in two parts, 404 and 4040000, that multiplied together give a square (1632160000 = 404002).
The spelling of 4044040000 in words is "four billion, forty-four million, forty thousand", and thus it is an eban number.
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