Base | Representation |
---|---|
bin | 110010100011010101100010… |
… | …0001011010001100001010000 |
3 | 2011022102012102102122212210120 |
4 | 1211012223010023101201100 |
5 | 431240312222343211220 |
6 | 4213414321040230240 |
7 | 162442500301365240 |
oct | 14506530413214120 |
9 | 2138365372585716 |
10 | 444661255444560 |
11 | 119756863448a80 |
12 | 41a563b690b380 |
13 | 161164b813340b |
14 | 7bb3a107ddb20 |
15 | 36619d6714a40 |
hex | 1946ac42d1850 |
444661255444560 has 640 divisors, whose sum is σ = 1740867708764160. Its totient is φ = 91199958220800.
The previous prime is 444661255444547. The next prime is 444661255444591. The reversal of 444661255444560 is 65444552166444.
It is a super-3 number, since 3×4446612554445603 (a number of 45 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (60).
It is a junction number, because it is equal to n+sod(n) for n = 444661255444494 and 444661255444503.
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 127 ways as a sum of consecutive naturals, for example, 5011861000 + ... + 5011949720.
It is an arithmetic number, because the mean of its divisors is an integer number (2720105794944).
Almost surely, 2444661255444560 is an apocalyptic number.
444661255444560 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 444661255444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870433854382080).
444661255444560 is an abundant number, since it is smaller than the sum of its proper divisors (1296206453319600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444661255444560 is a wasteful number, since it uses less digits than its factorization.
444661255444560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92267 (or 92261 counting only the distinct ones).
The product of its (nonzero) digits is 221184000, while the sum is 60.
The spelling of 444661255444560 in words is "four hundred forty-four trillion, six hundred sixty-one billion, two hundred fifty-five million, four hundred forty-four thousand, five hundred sixty".
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