| Base | Representation |
|---|---|
| bin | 10100000100001101101000… |
| … | …01100101010111001110000 |
| 3 | 12210020022220121101012221011 |
| 4 | 22002012310030222321300 |
| 5 | 21240421423344032034 |
| 6 | 233502503001440304 |
| 7 | 12202641066453145 |
| oct | 1202066414527160 |
| 9 | 183208817335834 |
| 10 | 44125222252144 |
| 11 | 1307244668a120 |
| 12 | 4b4791b7a0094 |
| 13 | 1b80cb5484987 |
| 14 | ac795a5583cc |
| 15 | 517be9386864 |
| hex | 2821b432ae70 |
44125222252144 has 80 divisors (see below), whose sum is σ = 95034946347360. Its totient is φ = 19676299668480.
The previous prime is 44125222252073. The next prime is 44125222252193.
44125222252144 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×441252222521442 (a number of 28 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 44125222252097 and 44125222252106.
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 15 ways as a sum of consecutive naturals, for example, 85158202 + ... + 85674790.
It is an arithmetic number, because the mean of its divisors is an integer number (1187936829342).
Almost surely, 244125222252144 is an apocalyptic number.
44125222252144 is a gapful number since it is divisible by the number (44) 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 44125222252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47517473173680).
44125222252144 is an abundant number, since it is smaller than the sum of its proper divisors (50909724095216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44125222252144 is a wasteful number, since it uses less digits than its factorization.
44125222252144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 525818 (or 525812 counting only the distinct ones).
The product of its digits is 409600, while the sum is 40.
It can be divided in two parts, 4412522 and 2252144, that added together give a palindrome (6664666).
The spelling of 44125222252144 in words is "forty-four trillion, one hundred twenty-five billion, two hundred twenty-two million, two hundred fifty-two thousand, one hundred forty-four".
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