Base | Representation |
---|---|
bin | 11000101000001100… |
… | …011001001110000100 |
3 | 2112020221022120110002 |
4 | 120220030121032010 |
5 | 413124200011234 |
6 | 20052005420432 |
7 | 1624211331200 |
oct | 305014311604 |
9 | 75227276402 |
10 | 26444141444 |
11 | 10240034956 |
12 | 516010a718 |
13 | 265579b896 |
14 | 13cc0a9b00 |
15 | a4b88627e |
hex | 628319384 |
26444141444 has 72 divisors (see below), whose sum is σ = 57222987192. Its totient is φ = 10624696320.
The previous prime is 26444141441. The next prime is 26444141447. The reversal of 26444141444 is 44414144462.
It is an interprime number because it is at equal distance from previous prime (26444141441) and next prime (26444141447).
It can be written as a sum of positive squares in 4 ways, for example, as 22461016900 + 3983124544 = 149870^2 + 63112^2 .
It is a junction number, because it is equal to n+sod(n) for n = 26444141398 and 26444141407.
It is not an unprimeable number, because it can be changed into a prime (26444141441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840884 + ... + 871764.
It is an arithmetic number, because the mean of its divisors is an integer number (794763711).
Almost surely, 226444141444 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 26444141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28611493596).
26444141444 is an abundant number, since it is smaller than the sum of its proper divisors (30778845748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26444141444 is a wasteful number, since it uses less digits than its factorization.
26444141444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31173 (or 31164 counting only the distinct ones).
The product of its digits is 196608, while the sum is 38.
The spelling of 26444141444 in words is "twenty-six billion, four hundred forty-four million, one hundred forty-one thousand, four hundred forty-four".
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