Base | Representation |
---|---|
bin | 111101101101000010000… |
… | …011111010101010000100 |
3 | 120000100210200121020021022 |
4 | 331231002003322222010 |
5 | 1023433003201402400 |
6 | 13003535001210312 |
7 | 615230061122315 |
oct | 75550203725204 |
9 | 16010720536238 |
10 | 4240241044100 |
11 | 1395304587906 |
12 | 585954190998 |
13 | 249b120c52b9 |
14 | 10932ba1660c |
15 | 7547217bb85 |
hex | 3db420faa84 |
4240241044100 has 144 divisors (see below), whose sum is σ = 9511394679696. Its totient is φ = 1639554048000.
The previous prime is 4240241044099. The next prime is 4240241044103. The reversal of 4240241044100 is 14401420424.
It can be written as a sum of positive squares in 24 ways, for example, as 1278785535556 + 2961455508544 = 1130834^2 + 1720888^2 .
It is a super-2 number, since 2×42402410441002 (a number of 26 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 4240241044100.
It is not an unprimeable number, because it can be changed into a prime (4240241044103) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884671304 + ... + 884676096.
Almost surely, 24240241044100 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 4240241044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755697339848).
4240241044100 is an abundant number, since it is smaller than the sum of its proper divisors (5271153635596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4240241044100 is a wasteful number, since it uses less digits than its factorization.
4240241044100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6346 (or 6339 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 26.
Adding to 4240241044100 its reverse (14401420424), we get a palindrome (4254642464524).
The spelling of 4240241044100 in words is "four trillion, two hundred forty billion, two hundred forty-one million, forty-four thousand, one hundred".
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