| Base | Representation |
|---|---|
| bin | 10100000100101011011011… |
| … | …10111101011101000000000 |
| 3 | 12210021212012200010111121100 |
| 4 | 22002111231313223220000 |
| 5 | 21241202210341323034 |
| 6 | 233514110400254400 |
| 7 | 12204045431054526 |
| oct | 1202255567535000 |
| 9 | 183255180114540 |
| 10 | 44141222214144 |
| 11 | 130792071a9410 |
| 12 | 4b4aa46011400 |
| 13 | 1b82665226803 |
| 14 | ac86374ba316 |
| 15 | 518333d71099 |
| hex | 28256ddeba00 |
44141222214144 has 480 divisors, whose sum is σ = 145154013548544. Its totient is φ = 12782584995840.
The previous prime is 44141222214139. The next prime is 44141222214151.
44141222214144 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 12 + 2 + 221 + 414 + 4 = 666.
44141222214144 is nontrivially palindromic in base 10.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 44141222214099 and 44141222214108.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1285886709 + ... + 1285921035.
Almost surely, 244141222214144 is an apocalyptic number.
44141222214144 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 44141222214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72577006774272).
44141222214144 is an abundant number, since it is smaller than the sum of its proper divisors (101012791334400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44141222214144 is a wasteful number, since it uses less digits than its factorization.
44141222214144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35488 (or 35469 counting only the distinct ones).
The product of its digits is 65536, while the sum is 36.
It can be divided in two parts, 4414122 and 2214144, that added together give a palindrome (6628266).
The spelling of 44141222214144 in words is "forty-four trillion, one hundred forty-one billion, two hundred twenty-two million, two hundred fourteen thousand, one hundred forty-four".
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