| Base | Representation |
|---|---|
| bin | 10100000100001100000110… |
| … | …01101001111111000000000 |
| 3 | 12210020020210022202201222220 |
| 4 | 22002012003031033320000 |
| 5 | 21240413232440220000 |
| 6 | 233502245240531040 |
| 7 | 12202611526242420 |
| oct | 1202060315177000 |
| 9 | 183206708681886 |
| 10 | 44124400320000 |
| 11 | 13072064729360 |
| 12 | 4b47730480a80 |
| 13 | 1b80bb40c30b0 |
| 14 | ac78bd320480 |
| 15 | 517b9c12b1a0 |
| hex | 28218334fe00 |
44124400320000 has 6400 divisors, whose sum is σ = 217407113054208. Its totient is φ = 7644119040000.
The previous prime is 44124400319947. The next prime is 44124400320001. The reversal of 44124400320000 is 2300442144.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (6400).
It is a super-2 number, since 2×441244003200002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (44124400320001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 604443839964 + ... + 604443840036.
Almost surely, 244124400320000 is an apocalyptic number.
44124400320000 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 44124400320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108703556527104).
44124400320000 is an abundant number, since it is smaller than the sum of its proper divisors (173282712734208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44124400320000 is a wasteful number, since it uses less digits than its factorization.
44124400320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
Adding to 44124400320000 its reverse (2300442144), we get a palindrome (44126700762144).
The spelling of 44124400320000 in words is "forty-four trillion, one hundred twenty-four billion, four hundred million, three hundred twenty thousand".
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