Base | Representation |
---|---|
bin | 100000001100000110000… |
… | …1001111011011000110100 |
3 | 120122221011120120220012101 |
4 | 1000120030021323120310 |
5 | 1034440343140302040 |
6 | 13224211123231444 |
7 | 634424226421066 |
oct | 100301411733064 |
9 | 16587146526171 |
10 | 4424020244020 |
11 | 1456242103903 |
12 | 5b54a3518584 |
13 | 26124c9a0600 |
14 | 1141a36cb736 |
15 | 7a12b54309a |
hex | 4060c27b634 |
4424020244020 has 72 divisors (see below), whose sum is σ = 10079378127000. Its totient is φ = 1630348462080.
The previous prime is 4424020243943. The next prime is 4424020244027. The reversal of 4424020244020 is 204420204244.
It can be written as a sum of positive squares in 12 ways, for example, as 2487124551844 + 1936895692176 = 1577062^2 + 1391724^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 4424020244020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4424020244027) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504856 + ... + 3017104.
It is an arithmetic number, because the mean of its divisors is an integer number (139991362875).
Almost surely, 24424020244020 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 4424020244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039689063500).
4424020244020 is an abundant number, since it is smaller than the sum of its proper divisors (5655357882980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4424020244020 is a wasteful number, since it uses less digits than its factorization.
4424020244020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2512805 (or 2512790 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 28.
Adding to 4424020244020 its reverse (204420204244), we get a palindrome (4628440448264).
It can be divided in two parts, 4424020 and 244020, that added together give a triangular number (4668040 = T3055).
The spelling of 4424020244020 in words is "four trillion, four hundred twenty-four billion, twenty million, two hundred forty-four thousand, twenty".
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