Base | Representation |
---|---|
bin | 110010010011111011… |
… | …010011011001010000 |
3 | 12011102211210200011122 |
4 | 302103323103121100 |
5 | 1341113434413430 |
6 | 40452254101412 |
7 | 3621462234236 |
oct | 622373233120 |
9 | 164384720148 |
10 | 54021404240 |
11 | 20a01746631 |
12 | a5777aa868 |
13 | 512bc46a6b |
14 | 2886856956 |
15 | 1612946ee5 |
hex | c93ed3650 |
54021404240 has 80 divisors (see below), whose sum is σ = 126906944400. Its totient is φ = 21384744960.
The previous prime is 54021404231. The next prime is 54021404249. The reversal of 54021404240 is 4240412045.
54021404240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (54021404231) and next prime (54021404249).
It can be written as a sum of positive squares in 8 ways, for example, as 13715220544 + 40306183696 = 117112^2 + 200764^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×540214042402 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54021404249) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3293660 + ... + 3310020.
It is an arithmetic number, because the mean of its divisors is an integer number (1586336805).
Almost surely, 254021404240 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 54021404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63453472200).
54021404240 is an abundant number, since it is smaller than the sum of its proper divisors (72885540160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54021404240 is a wasteful number, since it uses less digits than its factorization.
54021404240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16800 (or 16794 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 26.
Adding to 54021404240 its reverse (4240412045), we get a palindrome (58261816285).
The spelling of 54021404240 in words is "fifty-four billion, twenty-one million, four hundred four thousand, two hundred forty".
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