| Base | Representation |
|---|---|
| bin | 1100111011010001101… |
| … | …11111111110111000100 |
| 3 | 1120110101221220200121100 |
| 4 | 12131220313333313010 |
| 5 | 24234100113011234 |
| 6 | 540011410020100 |
| 7 | 44042142261330 |
| oct | 6355067776704 |
| 9 | 1513357820540 |
| 10 | 444141141444 |
| 11 | 1613a5106290 |
| 12 | 720b1b77630 |
| 13 | 32b6162c050 |
| 14 | 176d47447c0 |
| 15 | b846c35399 |
| hex | 6768dffdc4 |
444141141444 has 288 divisors, whose sum is σ = 1522325226240. Its totient is φ = 105432192000.
The previous prime is 444141141413. The next prime is 444141141473.
444141141444 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4441411414442 (a number of 24 digits) contains 22 as substring.
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 = 444141141399 and 444141141408.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3578622 + ... + 3700650.
It is an arithmetic number, because the mean of its divisors is an integer number (5285851480).
Almost surely, 2444141141444 is an apocalyptic number.
444141141444 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 444141141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761162613120).
444141141444 is an abundant number, since it is smaller than the sum of its proper divisors (1078184084796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444141141444 is a wasteful number, since it uses less digits than its factorization.
444141141444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122171 (or 122166 counting only the distinct ones).
The product of its digits is 65536, while the sum is 36.
It can be divided in two parts, 444141 and 141444, that added together give a palindrome (585585).
The spelling of 444141141444 in words is "four hundred forty-four billion, one hundred forty-one million, one hundred forty-one thousand, four hundred forty-four".
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