Base | Representation |
---|---|
bin | 1111101110010111001… |
… | …01111011000110000000 |
3 | 1220122120111121110202011 |
4 | 13313023211323012000 |
5 | 32323001334100344 |
6 | 1052112041302304 |
7 | 54014543365060 |
oct | 7671345730600 |
9 | 1818514543664 |
10 | 540286628224 |
11 | 199152797572 |
12 | 88864a94994 |
13 | 3bc446c8925 |
14 | 1c2158c33a0 |
15 | e0c2886d34 |
hex | 7dcb97b180 |
540286628224 has 128 divisors (see below), whose sum is σ = 1249812936000. Its totient is φ = 227858448384.
The previous prime is 540286628221. The next prime is 540286628227. The reversal of 540286628224 is 422826682045.
It is an interprime number because it is at equal distance from previous prime (540286628221) and next prime (540286628227).
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (540286628221) 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, 29358994 + ... + 29377390.
Almost surely, 2540286628224 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 540286628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624906468000).
540286628224 is an abundant number, since it is smaller than the sum of its proper divisors (709526307776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540286628224 is a wasteful number, since it uses less digits than its factorization.
540286628224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18940 (or 18928 counting only the distinct ones).
The product of its (nonzero) digits is 2949120, while the sum is 49.
The spelling of 540286628224 in words is "five hundred forty billion, two hundred eighty-six million, six hundred twenty-eight thousand, two hundred twenty-four".
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